* 8-bit Gray counter.
       0 0s 0s 0s 0s 0s 0s 0s 0s         1 ->        1
       1 0s 0s 0s 0s 0s 0s 0s 1s         1 ->        2
       2 0s 0s 0s 0s 0s 0s 1s 1s         1 ->        3
       3 0s 0s 0s 0s 0s 0s 1s 0s         1 ->        4
       4 0s 0s 0s 0s 0s 1s 1s 0s         1 ->        5
       5 0s 0s 0s 0s 0s 1s 1s 1s         1 ->        6
       6 0s 0s 0s 0s 0s 1s 0s 1s         1 ->        7
       7 0s 0s 0s 0s 0s 1s 0s 0s         1 ->        8
       8 0s 0s 0s 0s 1s 1s 0s 0s         1 ->        9
       9 0s 0s 0s 0s 1s 1s 0s 1s         1 ->       10
      10 0s 0s 0s 0s 1s 1s 1s 1s         1 ->       11
      11 0s 0s 0s 0s 1s 1s 1s 0s         1 ->       12
      12 0s 0s 0s 0s 1s 0s 1s 0s         1 ->       13
      13 0s 0s 0s 0s 1s 0s 1s 1s         1 ->       14
      14 0s 0s 0s 0s 1s 0s 0s 1s         1 ->       15
      15 0s 0s 0s 0s 1s 0s 0s 0s         1 ->       16
      16 0s 0s 0s 1s 1s 0s 0s 0s         1 ->       17
      17 0s 0s 0s 1s 1s 0s 0s 1s         1 ->       18
      18 0s 0s 0s 1s 1s 0s 1s 1s         1 ->       19
      19 0s 0s 0s 1s 1s 0s 1s 0s         1 ->       20
      20 0s 0s 0s 1s 1s 1s 1s 0s         1 ->       21
      21 0s 0s 0s 1s 1s 1s 1s 1s         1 ->       22
      22 0s 0s 0s 1s 1s 1s 0s 1s         1 ->       23
      23 0s 0s 0s 1s 1s 1s 0s 0s         1 ->       24
      24 0s 0s 0s 1s 0s 1s 0s 0s         1 ->       25
      25 0s 0s 0s 1s 0s 1s 0s 1s         1 ->       26
      26 0s 0s 0s 1s 0s 1s 1s 1s         1 ->       27
      27 0s 0s 0s 1s 0s 1s 1s 0s         1 ->       28
      28 0s 0s 0s 1s 0s 0s 1s 0s         1 ->       29
      29 0s 0s 0s 1s 0s 0s 1s 1s         1 ->       30
      30 0s 0s 0s 1s 0s 0s 0s 1s         1 ->       31
      31 0s 0s 0s 1s 0s 0s 0s 0s         1 ->       32
      32 0s 0s 1s 1s 0s 0s 0s 0s         1 ->       33
      33 0s 0s 1s 1s 0s 0s 0s 1s         1 ->       34
      34 0s 0s 1s 1s 0s 0s 1s 1s         1 ->       35
      35 0s 0s 1s 1s 0s 0s 1s 0s         1 ->       36
      36 0s 0s 1s 1s 0s 1s 1s 0s         1 ->       37
      37 0s 0s 1s 1s 0s 1s 1s 1s         1 ->       38
      38 0s 0s 1s 1s 0s 1s 0s 1s         1 ->       39
      39 0s 0s 1s 1s 0s 1s 0s 0s         1 ->       40
      40 0s 0s 1s 1s 1s 1s 0s 0s         1 ->       41
      41 0s 0s 1s 1s 1s 1s 0s 1s         1 ->       42
      42 0s 0s 1s 1s 1s 1s 1s 1s         1 ->       43
      43 0s 0s 1s 1s 1s 1s 1s 0s         1 ->       44
      44 0s 0s 1s 1s 1s 0s 1s 0s         1 ->       45
      45 0s 0s 1s 1s 1s 0s 1s 1s         1 ->       46
      46 0s 0s 1s 1s 1s 0s 0s 1s         1 ->       47
      47 0s 0s 1s 1s 1s 0s 0s 0s         1 ->       48
      48 0s 0s 1s 0s 1s 0s 0s 0s         1 ->       49
      49 0s 0s 1s 0s 1s 0s 0s 1s         1 ->       50
      50 0s 0s 1s 0s 1s 0s 1s 1s         1 ->       51
      51 0s 0s 1s 0s 1s 0s 1s 0s         1 ->       52
      52 0s 0s 1s 0s 1s 1s 1s 0s         1 ->       53
      53 0s 0s 1s 0s 1s 1s 1s 1s         1 ->       54
      54 0s 0s 1s 0s 1s 1s 0s 1s         1 ->       55
      55 0s 0s 1s 0s 1s 1s 0s 0s         1 ->       56
      56 0s 0s 1s 0s 0s 1s 0s 0s         1 ->       57
      57 0s 0s 1s 0s 0s 1s 0s 1s         1 ->       58
      58 0s 0s 1s 0s 0s 1s 1s 1s         1 ->       59
      59 0s 0s 1s 0s 0s 1s 1s 0s         1 ->       60
      60 0s 0s 1s 0s 0s 0s 1s 0s         1 ->       61
      61 0s 0s 1s 0s 0s 0s 1s 1s         1 ->       62
      62 0s 0s 1s 0s 0s 0s 0s 1s         1 ->       63
      63 0s 0s 1s 0s 0s 0s 0s 0s         1 ->       64
      64 0s 1s 1s 0s 0s 0s 0s 0s         1 ->       65
      65 0s 1s 1s 0s 0s 0s 0s 1s         1 ->       66
      66 0s 1s 1s 0s 0s 0s 1s 1s         1 ->       67
      67 0s 1s 1s 0s 0s 0s 1s 0s         1 ->       68
      68 0s 1s 1s 0s 0s 1s 1s 0s         1 ->       69
      69 0s 1s 1s 0s 0s 1s 1s 1s         1 ->       70
      70 0s 1s 1s 0s 0s 1s 0s 1s         1 ->       71
      71 0s 1s 1s 0s 0s 1s 0s 0s         1 ->       72
      72 0s 1s 1s 0s 1s 1s 0s 0s         1 ->       73
      73 0s 1s 1s 0s 1s 1s 0s 1s         1 ->       74
      74 0s 1s 1s 0s 1s 1s 1s 1s         1 ->       75
      75 0s 1s 1s 0s 1s 1s 1s 0s         1 ->       76
      76 0s 1s 1s 0s 1s 0s 1s 0s         1 ->       77
      77 0s 1s 1s 0s 1s 0s 1s 1s         1 ->       78
      78 0s 1s 1s 0s 1s 0s 0s 1s         1 ->       79
      79 0s 1s 1s 0s 1s 0s 0s 0s         1 ->       80
      80 0s 1s 1s 1s 1s 0s 0s 0s         1 ->       81
      81 0s 1s 1s 1s 1s 0s 0s 1s         1 ->       82
      82 0s 1s 1s 1s 1s 0s 1s 1s         1 ->       83
      83 0s 1s 1s 1s 1s 0s 1s 0s         1 ->       84
      84 0s 1s 1s 1s 1s 1s 1s 0s         1 ->       85
      85 0s 1s 1s 1s 1s 1s 1s 1s         1 ->       86
      86 0s 1s 1s 1s 1s 1s 0s 1s         1 ->       87
      87 0s 1s 1s 1s 1s 1s 0s 0s         1 ->       88
      88 0s 1s 1s 1s 0s 1s 0s 0s         1 ->       89
      89 0s 1s 1s 1s 0s 1s 0s 1s         1 ->       90
      90 0s 1s 1s 1s 0s 1s 1s 1s         1 ->       91
      91 0s 1s 1s 1s 0s 1s 1s 0s         1 ->       92
      92 0s 1s 1s 1s 0s 0s 1s 0s         1 ->       93
      93 0s 1s 1s 1s 0s 0s 1s 1s         1 ->       94
      94 0s 1s 1s 1s 0s 0s 0s 1s         1 ->       95
      95 0s 1s 1s 1s 0s 0s 0s 0s         1 ->       96
      96 0s 1s 0s 1s 0s 0s 0s 0s         1 ->       97
      97 0s 1s 0s 1s 0s 0s 0s 1s         1 ->       98
      98 0s 1s 0s 1s 0s 0s 1s 1s         1 ->       99
      99 0s 1s 0s 1s 0s 0s 1s 0s         1 ->      100
     100 0s 1s 0s 1s 0s 1s 1s 0s         1 ->      101
     101 0s 1s 0s 1s 0s 1s 1s 1s         1 ->      102
     102 0s 1s 0s 1s 0s 1s 0s 1s         1 ->      103
     103 0s 1s 0s 1s 0s 1s 0s 0s         1 ->      104
     104 0s 1s 0s 1s 1s 1s 0s 0s         1 ->      105
     105 0s 1s 0s 1s 1s 1s 0s 1s         1 ->      106
     106 0s 1s 0s 1s 1s 1s 1s 1s         1 ->      107
     107 0s 1s 0s 1s 1s 1s 1s 0s         1 ->      108
     108 0s 1s 0s 1s 1s 0s 1s 0s         1 ->      109
     109 0s 1s 0s 1s 1s 0s 1s 1s         1 ->      110
     110 0s 1s 0s 1s 1s 0s 0s 1s         1 ->      111
     111 0s 1s 0s 1s 1s 0s 0s 0s         1 ->      112
     112 0s 1s 0s 0s 1s 0s 0s 0s         1 ->      113
     113 0s 1s 0s 0s 1s 0s 0s 1s         1 ->      114
     114 0s 1s 0s 0s 1s 0s 1s 1s         1 ->      115
     115 0s 1s 0s 0s 1s 0s 1s 0s         1 ->      116
     116 0s 1s 0s 0s 1s 1s 1s 0s         1 ->      117
     117 0s 1s 0s 0s 1s 1s 1s 1s         1 ->      118
     118 0s 1s 0s 0s 1s 1s 0s 1s         1 ->      119
     119 0s 1s 0s 0s 1s 1s 0s 0s         1 ->      120
     120 0s 1s 0s 0s 0s 1s 0s 0s         1 ->      121
     121 0s 1s 0s 0s 0s 1s 0s 1s         1 ->      122
     122 0s 1s 0s 0s 0s 1s 1s 1s         1 ->      123
     123 0s 1s 0s 0s 0s 1s 1s 0s         1 ->      124
     124 0s 1s 0s 0s 0s 0s 1s 0s         1 ->      125
     125 0s 1s 0s 0s 0s 0s 1s 1s         1 ->      126
     126 0s 1s 0s 0s 0s 0s 0s 1s         1 ->      127
     127 0s 1s 0s 0s 0s 0s 0s 0s         1 ->      128
     128 1s 1s 0s 0s 0s 0s 0s 0s         1 ->      129
     129 1s 1s 0s 0s 0s 0s 0s 1s         1 ->      130
     130 1s 1s 0s 0s 0s 0s 1s 1s         1 ->      131
     131 1s 1s 0s 0s 0s 0s 1s 0s         1 ->      132
     132 1s 1s 0s 0s 0s 1s 1s 0s         1 ->      133
     133 1s 1s 0s 0s 0s 1s 1s 1s         1 ->      134
     134 1s 1s 0s 0s 0s 1s 0s 1s         1 ->      135
     135 1s 1s 0s 0s 0s 1s 0s 0s         1 ->      136
     136 1s 1s 0s 0s 1s 1s 0s 0s         1 ->      137
     137 1s 1s 0s 0s 1s 1s 0s 1s         1 ->      138
     138 1s 1s 0s 0s 1s 1s 1s 1s         1 ->      139
     139 1s 1s 0s 0s 1s 1s 1s 0s         1 ->      140
     140 1s 1s 0s 0s 1s 0s 1s 0s         1 ->      141
     141 1s 1s 0s 0s 1s 0s 1s 1s         1 ->      142
     142 1s 1s 0s 0s 1s 0s 0s 1s         1 ->      143
     143 1s 1s 0s 0s 1s 0s 0s 0s         1 ->      144
     144 1s 1s 0s 1s 1s 0s 0s 0s         1 ->      145
     145 1s 1s 0s 1s 1s 0s 0s 1s         1 ->      146
     146 1s 1s 0s 1s 1s 0s 1s 1s         1 ->      147
     147 1s 1s 0s 1s 1s 0s 1s 0s         1 ->      148
     148 1s 1s 0s 1s 1s 1s 1s 0s         1 ->      149
     149 1s 1s 0s 1s 1s 1s 1s 1s         1 ->      150
     150 1s 1s 0s 1s 1s 1s 0s 1s         1 ->      151
     151 1s 1s 0s 1s 1s 1s 0s 0s         1 ->      152
     152 1s 1s 0s 1s 0s 1s 0s 0s         1 ->      153
     153 1s 1s 0s 1s 0s 1s 0s 1s         1 ->      154
     154 1s 1s 0s 1s 0s 1s 1s 1s         1 ->      155
     155 1s 1s 0s 1s 0s 1s 1s 0s         1 ->      156
     156 1s 1s 0s 1s 0s 0s 1s 0s         1 ->      157
     157 1s 1s 0s 1s 0s 0s 1s 1s         1 ->      158
     158 1s 1s 0s 1s 0s 0s 0s 1s         1 ->      159
     159 1s 1s 0s 1s 0s 0s 0s 0s         1 ->      160
     160 1s 1s 1s 1s 0s 0s 0s 0s         1 ->      161
     161 1s 1s 1s 1s 0s 0s 0s 1s         1 ->      162
     162 1s 1s 1s 1s 0s 0s 1s 1s         1 ->      163
     163 1s 1s 1s 1s 0s 0s 1s 0s         1 ->      164
     164 1s 1s 1s 1s 0s 1s 1s 0s         1 ->      165
     165 1s 1s 1s 1s 0s 1s 1s 1s         1 ->      166
     166 1s 1s 1s 1s 0s 1s 0s 1s         1 ->      167
     167 1s 1s 1s 1s 0s 1s 0s 0s         1 ->      168
     168 1s 1s 1s 1s 1s 1s 0s 0s         1 ->      169
     169 1s 1s 1s 1s 1s 1s 0s 1s         1 ->      170
     170 1s 1s 1s 1s 1s 1s 1s 1s         1 ->      171
     171 1s 1s 1s 1s 1s 1s 1s 0s         1 ->      172
     172 1s 1s 1s 1s 1s 0s 1s 0s         1 ->      173
     173 1s 1s 1s 1s 1s 0s 1s 1s         1 ->      174
     174 1s 1s 1s 1s 1s 0s 0s 1s         1 ->      175
     175 1s 1s 1s 1s 1s 0s 0s 0s         1 ->      176
     176 1s 1s 1s 0s 1s 0s 0s 0s         1 ->      177
     177 1s 1s 1s 0s 1s 0s 0s 1s         1 ->      178
     178 1s 1s 1s 0s 1s 0s 1s 1s         1 ->      179
     179 1s 1s 1s 0s 1s 0s 1s 0s         1 ->      180
     180 1s 1s 1s 0s 1s 1s 1s 0s         1 ->      181
     181 1s 1s 1s 0s 1s 1s 1s 1s         1 ->      182
     182 1s 1s 1s 0s 1s 1s 0s 1s         1 ->      183
     183 1s 1s 1s 0s 1s 1s 0s 0s         1 ->      184
     184 1s 1s 1s 0s 0s 1s 0s 0s         1 ->      185
     185 1s 1s 1s 0s 0s 1s 0s 1s         1 ->      186
     186 1s 1s 1s 0s 0s 1s 1s 1s         1 ->      187
     187 1s 1s 1s 0s 0s 1s 1s 0s         1 ->      188
     188 1s 1s 1s 0s 0s 0s 1s 0s         1 ->      189
     189 1s 1s 1s 0s 0s 0s 1s 1s         1 ->      190
     190 1s 1s 1s 0s 0s 0s 0s 1s         1 ->      191
     191 1s 1s 1s 0s 0s 0s 0s 0s         1 ->      192
     192 1s 0s 1s 0s 0s 0s 0s 0s         1 ->      193
     193 1s 0s 1s 0s 0s 0s 0s 1s         1 ->      194
     194 1s 0s 1s 0s 0s 0s 1s 1s         1 ->      195
     195 1s 0s 1s 0s 0s 0s 1s 0s         1 ->      196
     196 1s 0s 1s 0s 0s 1s 1s 0s         1 ->      197
     197 1s 0s 1s 0s 0s 1s 1s 1s         1 ->      198
     198 1s 0s 1s 0s 0s 1s 0s 1s         1 ->      199
     199 1s 0s 1s 0s 0s 1s 0s 0s         1 ->      200
     200 1s 0s 1s 0s 1s 1s 0s 0s         1 ->      201
     201 1s 0s 1s 0s 1s 1s 0s 1s         1 ->      202
     202 1s 0s 1s 0s 1s 1s 1s 1s         1 ->      203
     203 1s 0s 1s 0s 1s 1s 1s 0s         1 ->      204
     204 1s 0s 1s 0s 1s 0s 1s 0s         1 ->      205
     205 1s 0s 1s 0s 1s 0s 1s 1s         1 ->      206
     206 1s 0s 1s 0s 1s 0s 0s 1s         1 ->      207
     207 1s 0s 1s 0s 1s 0s 0s 0s         1 ->      208
     208 1s 0s 1s 1s 1s 0s 0s 0s         1 ->      209
     209 1s 0s 1s 1s 1s 0s 0s 1s         1 ->      210
     210 1s 0s 1s 1s 1s 0s 1s 1s         1 ->      211
     211 1s 0s 1s 1s 1s 0s 1s 0s         1 ->      212
     212 1s 0s 1s 1s 1s 1s 1s 0s         1 ->      213
     213 1s 0s 1s 1s 1s 1s 1s 1s         1 ->      214
     214 1s 0s 1s 1s 1s 1s 0s 1s         1 ->      215
     215 1s 0s 1s 1s 1s 1s 0s 0s         1 ->      216
     216 1s 0s 1s 1s 0s 1s 0s 0s         1 ->      217
     217 1s 0s 1s 1s 0s 1s 0s 1s         1 ->      218
     218 1s 0s 1s 1s 0s 1s 1s 1s         1 ->      219
     219 1s 0s 1s 1s 0s 1s 1s 0s         1 ->      220
     220 1s 0s 1s 1s 0s 0s 1s 0s         1 ->      221
     221 1s 0s 1s 1s 0s 0s 1s 1s         1 ->      222
     222 1s 0s 1s 1s 0s 0s 0s 1s         1 ->      223
     223 1s 0s 1s 1s 0s 0s 0s 0s         1 ->      224
     224 1s 0s 0s 1s 0s 0s 0s 0s         1 ->      225
     225 1s 0s 0s 1s 0s 0s 0s 1s         1 ->      226
     226 1s 0s 0s 1s 0s 0s 1s 1s         1 ->      227
     227 1s 0s 0s 1s 0s 0s 1s 0s         1 ->      228
     228 1s 0s 0s 1s 0s 1s 1s 0s         1 ->      229
     229 1s 0s 0s 1s 0s 1s 1s 1s         1 ->      230
     230 1s 0s 0s 1s 0s 1s 0s 1s         1 ->      231
     231 1s 0s 0s 1s 0s 1s 0s 0s         1 ->      232
     232 1s 0s 0s 1s 1s 1s 0s 0s         1 ->      233
     233 1s 0s 0s 1s 1s 1s 0s 1s         1 ->      234
     234 1s 0s 0s 1s 1s 1s 1s 1s         1 ->      235
     235 1s 0s 0s 1s 1s 1s 1s 0s         1 ->      236
     236 1s 0s 0s 1s 1s 0s 1s 0s         1 ->      237
     237 1s 0s 0s 1s 1s 0s 1s 1s         1 ->      238
     238 1s 0s 0s 1s 1s 0s 0s 1s         1 ->      239
     239 1s 0s 0s 1s 1s 0s 0s 0s         1 ->      240
     240 1s 0s 0s 0s 1s 0s 0s 0s         1 ->      241
     241 1s 0s 0s 0s 1s 0s 0s 1s         1 ->      242
     242 1s 0s 0s 0s 1s 0s 1s 1s         1 ->      243
     243 1s 0s 0s 0s 1s 0s 1s 0s         1 ->      244
     244 1s 0s 0s 0s 1s 1s 1s 0s         1 ->      245
     245 1s 0s 0s 0s 1s 1s 1s 1s         1 ->      246
     246 1s 0s 0s 0s 1s 1s 0s 1s         1 ->      247
     247 1s 0s 0s 0s 1s 1s 0s 0s         1 ->      248
     248 1s 0s 0s 0s 0s 1s 0s 0s         1 ->      249
     249 1s 0s 0s 0s 0s 1s 0s 1s         1 ->      250
     250 1s 0s 0s 0s 0s 1s 1s 1s         1 ->      251
     251 1s 0s 0s 0s 0s 1s 1s 0s         1 ->      252
     252 1s 0s 0s 0s 0s 0s 1s 0s         1 ->      253
     253 1s 0s 0s 0s 0s 0s 1s 1s         1 ->      254
     254 1s 0s 0s 0s 0s 0s 0s 1s         1 ->      255
     255 1s 0s 0s 0s 0s 0s 0s 0s         1 ->        0