final gds & signoff results
diff --git a/signoff/klayout_drc_fom.log b/signoff/klayout_drc_fom.log
new file mode 100644
index 0000000..9b971df
--- /dev/null
+++ b/signoff/klayout_drc_fom.log
@@ -0,0 +1,2772 @@
+{{ CHECK }} 0/2730
+fom density  1/2730 is 0.44587054374489793
+fom density  2/2730 is 0.44219544474489797
+fom density  3/2730 is 0.4403596075510204
+fom density  4/2730 is 0.4262643315816326
+fom density  5/2730 is 0.4135208357142857
+fom density  6/2730 is 0.4035109619897959
+fom density  7/2730 is 0.39730357765306124
+fom density  8/2730 is 0.4003485121938775
+fom density  9/2730 is 0.41279679816326525
+fom density  10/2730 is 0.41983081551020407
+fom density  11/2730 is 0.4345234664795918
+fom density  12/2730 is 0.4390037469897959
+fom density  13/2730 is 0.4389520206632653
+fom density  14/2730 is 0.44923521938775507
+fom density  15/2730 is 0.45913662214285716
+fom density  16/2730 is 0.46893667969387753
+fom density  17/2730 is 0.4794589534183673
+fom density  18/2730 is 0.4886349245408163
+fom density  19/2730 is 0.48608308709183673
+fom density  20/2730 is 0.4840671368877551
+fom density  21/2730 is 0.480340421377551
+fom density  22/2730 is 0.4766528215306122
+fom density  23/2730 is 0.4727389077040816
+fom density  24/2730 is 0.47479405275510206
+fom density  25/2730 is 0.4777643812244898
+fom density  26/2730 is 0.47890536403061224
+fom density  27/2730 is 0.4816615725510204
+fom density  28/2730 is 0.48131067678571426
+fom density  29/2730 is 0.48273139331632653
+fom density  30/2730 is 0.48268495290816327
+fom density  31/2730 is 0.48100269107142857
+fom density  32/2730 is 0.48180741734693877
+fom density  33/2730 is 0.48474917668367346
+fom density  34/2730 is 0.48122662372448977
+fom density  35/2730 is 0.47771003275510204
+fom density  36/2730 is 0.4791601261734693
+fom density  37/2730 is 0.4779518158163265
+fom density  38/2730 is 0.4770449849489796
+fom density  39/2730 is 0.4783862862755102
+fom density  40/2730 is 0.47718419831632647
+fom density  41/2730 is 0.4784642133673469
+fom density  42/2730 is 0.48066886994897956
+fom density  43/2730 is 0.4785026762755102
+fom density  44/2730 is 0.47865502857142855
+fom density  45/2730 is 0.48049864081632654
+fom density  46/2730 is 0.47820443867346935
+fom density  47/2730 is 0.4755089097448979
+fom density  48/2730 is 0.47803022280612245
+fom density  49/2730 is 0.4788967203061224
+fom density  50/2730 is 0.4802258219897959
+fom density  51/2730 is 0.4834264451020408
+fom density  52/2730 is 0.4813485311734694
+fom density  53/2730 is 0.48253496178571426
+fom density  54/2730 is 0.48679618510204076
+fom density  55/2730 is 0.4847700332653061
+fom density  56/2730 is 0.48545732484693876
+fom density  57/2730 is 0.48606839479591835
+fom density  58/2730 is 0.4832234384693877
+fom density  59/2730 is 0.4802721871938775
+fom density  60/2730 is 0.481172271377551
+fom density  61/2730 is 0.4800362088265306
+fom density  62/2730 is 0.48319100168367346
+fom density  63/2730 is 0.4850086826530612
+fom density  64/2730 is 0.4858287027040816
+fom density  65/2730 is 0.48799767653061227
+{{ CHECK }} 65/2730
+fom density  66/2730 is 0.45020520596938773
+fom density  67/2730 is 0.44329346117346935
+fom density  68/2730 is 0.4407520770918367
+fom density  69/2730 is 0.42635997372448975
+fom density  70/2730 is 0.4131222050510204
+fom density  71/2730 is 0.4028960847959184
+fom density  72/2730 is 0.3975120642857143
+fom density  73/2730 is 0.39952972678571425
+fom density  74/2730 is 0.4114149612755102
+fom density  75/2730 is 0.42067645994897956
+fom density  76/2730 is 0.4339337457653061
+fom density  77/2730 is 0.43786119423469383
+fom density  78/2730 is 0.4380450459183673
+fom density  79/2730 is 0.44714148413265303
+fom density  80/2730 is 0.4574766435204082
+fom density  81/2730 is 0.4665988001020408
+fom density  82/2730 is 0.47573925096938774
+fom density  83/2730 is 0.4851902844897959
+fom density  84/2730 is 0.48262465647959185
+fom density  85/2730 is 0.47964885704081633
+fom density  86/2730 is 0.47645475943877547
+fom density  87/2730 is 0.473451376122449
+fom density  88/2730 is 0.46931508698979585
+fom density  89/2730 is 0.4716701064795918
+fom density  90/2730 is 0.4750613119897959
+fom density  91/2730 is 0.4751783055612245
+fom density  92/2730 is 0.477288368622449
+fom density  93/2730 is 0.4770860998469388
+fom density  94/2730 is 0.4773320580612244
+fom density  95/2730 is 0.4774409348469387
+fom density  96/2730 is 0.4769989252040816
+fom density  97/2730 is 0.47703189229591836
+fom density  98/2730 is 0.47876771882653063
+fom density  99/2730 is 0.4762139407653061
+fom density  100/2730 is 0.47203788418367343
+fom density  101/2730 is 0.47308032581632653
+fom density  102/2730 is 0.47402453780612247
+fom density  103/2730 is 0.47294905515306124
+fom density  104/2730 is 0.47385650005102037
+fom density  105/2730 is 0.47330480999999996
+fom density  106/2730 is 0.4737078415816326
+fom density  107/2730 is 0.4750545480612245
+fom density  108/2730 is 0.4741922190816326
+fom density  109/2730 is 0.47417065780612244
+fom density  110/2730 is 0.4753750959693877
+fom density  111/2730 is 0.4742938508163265
+fom density  112/2730 is 0.471024036377551
+fom density  113/2730 is 0.4728004394897959
+fom density  114/2730 is 0.47505141494897957
+fom density  115/2730 is 0.47626239994897956
+fom density  116/2730 is 0.4778749346428571
+fom density  117/2730 is 0.47688148709183675
+fom density  118/2730 is 0.47733923367346937
+fom density  119/2730 is 0.4797759903571428
+fom density  120/2730 is 0.4788631866326531
+fom density  121/2730 is 0.47946483443877547
+fom density  122/2730 is 0.47972183479591834
+fom density  123/2730 is 0.4783454375510204
+fom density  124/2730 is 0.475010029744898
+fom density  125/2730 is 0.4750034919387755
+fom density  126/2730 is 0.4754379935204081
+fom density  127/2730 is 0.47874076505102037
+fom density  128/2730 is 0.48094950969387756
+fom density  129/2730 is 0.48393972928571427
+fom density  130/2730 is 0.4886814881632653
+{{ CHECK }} 130/2730
+fom density  131/2730 is 0.45047816035714283
+fom density  132/2730 is 0.4435595984183673
+fom density  133/2730 is 0.4410182143367347
+fom density  134/2730 is 0.4267072165306122
+fom density  135/2730 is 0.41278574673469387
+fom density  136/2730 is 0.4022314365306123
+fom density  137/2730 is 0.3973970643877551
+fom density  138/2730 is 0.39882081525510205
+fom density  139/2730 is 0.41025283352040814
+fom density  140/2730 is 0.42087490627551016
+fom density  141/2730 is 0.43318195367346934
+fom density  142/2730 is 0.43682669867346935
+fom density  143/2730 is 0.4373450651020408
+fom density  144/2730 is 0.44526625556122446
+fom density  145/2730 is 0.45521981499999997
+fom density  146/2730 is 0.46338649724489794
+fom density  147/2730 is 0.4711387881632653
+fom density  148/2730 is 0.4800622331632653
+fom density  149/2730 is 0.4766870238265306
+fom density  150/2730 is 0.4723066535204081
+fom density  151/2730 is 0.4692580137244898
+fom density  152/2730 is 0.46649386719387753
+fom density  153/2730 is 0.4623155847448979
+fom density  154/2730 is 0.46480382994897956
+fom density  155/2730 is 0.4692603365306122
+fom density  156/2730 is 0.46959941193877547
+fom density  157/2730 is 0.47071982790816325
+fom density  158/2730 is 0.47072263999999997
+fom density  159/2730 is 0.47034616357142855
+fom density  160/2730 is 0.47056515051020403
+fom density  161/2730 is 0.4707567024489796
+fom density  162/2730 is 0.4701559826020408
+fom density  163/2730 is 0.47010445045918364
+fom density  164/2730 is 0.4682803056122449
+fom density  165/2730 is 0.4633906400510204
+fom density  166/2730 is 0.4632302567857142
+fom density  167/2730 is 0.46668694806122446
+fom density  168/2730 is 0.46584212301020406
+fom density  169/2730 is 0.46628786484693874
+fom density  170/2730 is 0.4662216281122449
+fom density  171/2730 is 0.46622192321428574
+fom density  172/2730 is 0.46664349714285713
+fom density  173/2730 is 0.46686239923469386
+fom density  174/2730 is 0.46641900357142857
+fom density  175/2730 is 0.4667739676530612
+fom density  176/2730 is 0.4665168679591837
+fom density  177/2730 is 0.46244311311224484
+fom density  178/2730 is 0.4636514045918367
+fom density  179/2730 is 0.46753236035714285
+fom density  180/2730 is 0.4690250788265306
+fom density  181/2730 is 0.46991329627551015
+fom density  182/2730 is 0.4698804240816326
+fom density  183/2730 is 0.4698938439795918
+fom density  184/2730 is 0.4716909729591836
+fom density  185/2730 is 0.471664233877551
+fom density  186/2730 is 0.4719642581632653
+fom density  187/2730 is 0.4719944639795918
+fom density  188/2730 is 0.4715920061734694
+fom density  189/2730 is 0.46757864494897955
+fom density  190/2730 is 0.4667904615816326
+fom density  191/2730 is 0.46851836030612243
+fom density  192/2730 is 0.4724628426530612
+fom density  193/2730 is 0.47552952015306116
+fom density  194/2730 is 0.4796736139795918
+fom density  195/2730 is 0.48471353096938774
+{{ CHECK }} 195/2730
+fom density  196/2730 is 0.4497876201020408
+fom density  197/2730 is 0.4428690581632653
+fom density  198/2730 is 0.4403276740816326
+fom density  199/2730 is 0.4261051020918367
+fom density  200/2730 is 0.41261914627551016
+fom density  201/2730 is 0.4019260749489796
+fom density  202/2730 is 0.39695979209183674
+fom density  203/2730 is 0.39886532443877554
+fom density  204/2730 is 0.4105836353571429
+fom density  205/2730 is 0.4225881801530612
+fom density  206/2730 is 0.43504042413265304
+fom density  207/2730 is 0.4387673880612245
+fom density  208/2730 is 0.43928575448979595
+fom density  209/2730 is 0.44683571801020405
+fom density  210/2730 is 0.45581417607142855
+fom density  211/2730 is 0.46286538892857143
+fom density  212/2730 is 0.470222435255102
+fom density  213/2730 is 0.4781253232653061
+fom density  214/2730 is 0.4734470044387755
+fom density  215/2730 is 0.4686321646428571
+fom density  216/2730 is 0.46519523285714287
+fom density  217/2730 is 0.46180043076530614
+fom density  218/2730 is 0.4571116356632653
+fom density  219/2730 is 0.4597144817857142
+fom density  220/2730 is 0.4647105757653061
+fom density  221/2730 is 0.4644308595408163
+fom density  222/2730 is 0.46447192954081634
+fom density  223/2730 is 0.4641403929081633
+fom density  224/2730 is 0.464223600255102
+fom density  225/2730 is 0.4646249202040816
+fom density  226/2730 is 0.46433570096938775
+fom density  227/2730 is 0.46416560489795916
+fom density  228/2730 is 0.4641709528571428
+fom density  229/2730 is 0.46173368632653056
+fom density  230/2730 is 0.45635102153061224
+fom density  231/2730 is 0.45730313663265304
+fom density  232/2730 is 0.4622220233673469
+fom density  233/2730 is 0.461678005
+fom density  234/2730 is 0.4622256316836734
+fom density  235/2730 is 0.46157811301020407
+fom density  236/2730 is 0.4617853876020408
+fom density  237/2730 is 0.461966732755102
+fom density  238/2730 is 0.4617983766836734
+fom density  239/2730 is 0.4616070219897959
+fom density  240/2730 is 0.4620160163265306
+fom density  241/2730 is 0.4613997824489796
+fom density  242/2730 is 0.4566175419387755
+fom density  243/2730 is 0.4582923385204081
+fom density  244/2730 is 0.46282563158163265
+fom density  245/2730 is 0.46460766867346937
+fom density  246/2730 is 0.4649094193877551
+fom density  247/2730 is 0.46439291372448976
+fom density  248/2730 is 0.4644708557142857
+fom density  249/2730 is 0.4647133326020408
+fom density  250/2730 is 0.4642799734693877
+fom density  251/2730 is 0.4643855061734694
+fom density  252/2730 is 0.46432643785714284
+fom density  253/2730 is 0.46364774556122446
+fom density  254/2730 is 0.45850405811224487
+fom density  255/2730 is 0.4579797508163265
+fom density  256/2730 is 0.4611968765306122
+fom density  257/2730 is 0.4659830339795918
+fom density  258/2730 is 0.469531103877551
+fom density  259/2730 is 0.4756314812755102
+fom density  260/2730 is 0.4816364201020408
+{{ CHECK }} 260/2730
+fom density  261/2730 is 0.4498906370408163
+fom density  262/2730 is 0.44259303903061226
+fom density  263/2730 is 0.43954421280612244
+fom density  264/2730 is 0.42573959413265305
+fom density  265/2730 is 0.4121096453061225
+fom density  266/2730 is 0.4013130775510204
+fom density  267/2730 is 0.3964135078061224
+fom density  268/2730 is 0.3986752591836734
+fom density  269/2730 is 0.41027608556122447
+fom density  270/2730 is 0.42202835801020405
+fom density  271/2730 is 0.4344263281632653
+fom density  272/2730 is 0.43814904214285716
+fom density  273/2730 is 0.4387678340816326
+fom density  274/2730 is 0.44560809964285714
+fom density  275/2730 is 0.45388051147959185
+fom density  276/2730 is 0.46025361061224485
+fom density  277/2730 is 0.46681831005102037
+fom density  278/2730 is 0.47360841341836735
+fom density  279/2730 is 0.4681372747959184
+fom density  280/2730 is 0.4628191432142857
+fom density  281/2730 is 0.4587421629081632
+fom density  282/2730 is 0.45484611418367343
+fom density  283/2730 is 0.4494995388265306
+fom density  284/2730 is 0.4525361469897959
+fom density  285/2730 is 0.45840575061224487
+fom density  286/2730 is 0.45802579280612243
+fom density  287/2730 is 0.4579290964795918
+fom density  288/2730 is 0.4576211919897959
+fom density  289/2730 is 0.4578202301020408
+fom density  290/2730 is 0.4583082268877551
+fom density  291/2730 is 0.45803169806122446
+fom density  292/2730 is 0.4576838779081633
+fom density  293/2730 is 0.45755875229591836
+fom density  294/2730 is 0.4547421358673469
+fom density  295/2730 is 0.4486080553571428
+fom density  296/2730 is 0.449746226632653
+fom density  297/2730 is 0.4555470398979592
+fom density  298/2730 is 0.45489425933673466
+fom density  299/2730 is 0.45538278989795916
+fom density  300/2730 is 0.45467775413265304
+fom density  301/2730 is 0.45498627688775506
+fom density  302/2730 is 0.45526458107142853
+fom density  303/2730 is 0.4550756717857143
+fom density  304/2730 is 0.45476801147959184
+fom density  305/2730 is 0.4550848888265306
+fom density  306/2730 is 0.45436011
+fom density  307/2730 is 0.44892156
+fom density  308/2730 is 0.45085690617346935
+fom density  309/2730 is 0.4562379782142857
+fom density  310/2730 is 0.45825233551020406
+fom density  311/2730 is 0.4584593882142857
+fom density  312/2730 is 0.4579532032653061
+fom density  313/2730 is 0.45806359112244893
+fom density  314/2730 is 0.45843896928571426
+fom density  315/2730 is 0.45797430755102037
+fom density  316/2730 is 0.4580046319387755
+fom density  317/2730 is 0.4577410618877551
+fom density  318/2730 is 0.4569507684693877
+fom density  319/2730 is 0.45107100974489794
+fom density  320/2730 is 0.4505184476020408
+fom density  321/2730 is 0.45435638127551015
+fom density  322/2730 is 0.4597142296938775
+fom density  323/2730 is 0.4635185440306122
+fom density  324/2730 is 0.47076073163265303
+fom density  325/2730 is 0.4783310231122449
+{{ CHECK }} 325/2730
+fom density  326/2730 is 0.4534227275510204
+fom density  327/2730 is 0.4460870645918367
+fom density  328/2730 is 0.4429494017857143
+fom density  329/2730 is 0.4302519429591837
+fom density  330/2730 is 0.4173201154081633
+fom density  331/2730 is 0.40614898346938777
+fom density  332/2730 is 0.40072127147959186
+fom density  333/2730 is 0.40220226852040813
+fom density  334/2730 is 0.41282037908163266
+fom density  335/2730 is 0.42360237418367347
+fom density  336/2730 is 0.43542374622448976
+fom density  337/2730 is 0.4388173112755102
+fom density  338/2730 is 0.439370895
+fom density  339/2730 is 0.4446324625
+fom density  340/2730 is 0.4514015794897959
+fom density  341/2730 is 0.4572649927040816
+fom density  342/2730 is 0.4628803813265306
+fom density  343/2730 is 0.46817000948979587
+fom density  344/2730 is 0.4625354829081632
+fom density  345/2730 is 0.4570961600510204
+fom density  346/2730 is 0.4524316375
+fom density  347/2730 is 0.4479641531632653
+fom density  348/2730 is 0.4419042244897959
+fom density  349/2730 is 0.445343470255102
+fom density  350/2730 is 0.45218753642857146
+fom density  351/2730 is 0.45169704117346937
+fom density  352/2730 is 0.45141294673469384
+fom density  353/2730 is 0.45108470994897953
+fom density  354/2730 is 0.4513091402040816
+fom density  355/2730 is 0.45188786948979587
+fom density  356/2730 is 0.45159730117346936
+fom density  357/2730 is 0.4512345608673469
+fom density  358/2730 is 0.45103542290816323
+fom density  359/2730 is 0.4478467659693877
+fom density  360/2730 is 0.44088279168367345
+fom density  361/2730 is 0.4421976062244898
+fom density  362/2730 is 0.4489207848979591
+fom density  363/2730 is 0.4481278708163265
+fom density  364/2730 is 0.44851344290816325
+fom density  365/2730 is 0.44773152749999995
+fom density  366/2730 is 0.448116623877551
+fom density  367/2730 is 0.44840110408163264
+fom density  368/2730 is 0.44825830668367345
+fom density  369/2730 is 0.44794888551020406
+fom density  370/2730 is 0.44824722673469386
+fom density  371/2730 is 0.44742120076530606
+fom density  372/2730 is 0.4412595326020408
+fom density  373/2730 is 0.4434399785204081
+fom density  374/2730 is 0.449731108877551
+fom density  375/2730 is 0.45197221326530607
+fom density  376/2730 is 0.45204352163265304
+fom density  377/2730 is 0.45150979290816323
+fom density  378/2730 is 0.4515953857142857
+fom density  379/2730 is 0.4519633577040816
+fom density  380/2730 is 0.4515296358163265
+fom density  381/2730 is 0.4515954671428571
+fom density  382/2730 is 0.4512375845918367
+fom density  383/2730 is 0.45037584423469385
+fom density  384/2730 is 0.44369520494897957
+fom density  385/2730 is 0.44303726602040816
+fom density  386/2730 is 0.4475359521428571
+fom density  387/2730 is 0.45350152408163263
+fom density  388/2730 is 0.45807188724489795
+fom density  389/2730 is 0.46593857561224483
+fom density  390/2730 is 0.4737960701020408
+{{ CHECK }} 390/2730
+fom density  391/2730 is 0.45862731255102035
+fom density  392/2730 is 0.45131721209183673
+fom density  393/2730 is 0.4472673645408163
+fom density  394/2730 is 0.43558061806122444
+fom density  395/2730 is 0.4246938404591837
+fom density  396/2730 is 0.41552145428571424
+fom density  397/2730 is 0.4121189897448979
+fom density  398/2730 is 0.41451779928571425
+fom density  399/2730 is 0.4228775139285714
+fom density  400/2730 is 0.431594599132653
+fom density  401/2730 is 0.44197220505102036
+fom density  402/2730 is 0.4458337180102041
+fom density  403/2730 is 0.44777813709183667
+fom density  404/2730 is 0.451364083877551
+fom density  405/2730 is 0.455485158622449
+fom density  406/2730 is 0.4586020944897959
+fom density  407/2730 is 0.4610264551530612
+fom density  408/2730 is 0.46301575933673467
+fom density  409/2730 is 0.45722403928571426
+fom density  410/2730 is 0.45173113979591834
+fom density  411/2730 is 0.4464718503061224
+fom density  412/2730 is 0.44142120091836734
+fom density  413/2730 is 0.4345702126020408
+fom density  414/2730 is 0.4382920561734694
+fom density  415/2730 is 0.4459409223979591
+fom density  416/2730 is 0.4454692343367347
+fom density  417/2730 is 0.4450621307653061
+fom density  418/2730 is 0.4448091198469387
+fom density  419/2730 is 0.44521229158163267
+fom density  420/2730 is 0.4456960154591837
+fom density  421/2730 is 0.44534986913265306
+fom density  422/2730 is 0.4450519373979592
+fom density  423/2730 is 0.4448850901530612
+fom density  424/2730 is 0.4413232143877551
+fom density  425/2730 is 0.43344009408163264
+fom density  426/2730 is 0.4347604003571428
+fom density  427/2730 is 0.4423015634693877
+fom density  428/2730 is 0.4414995904081632
+fom density  429/2730 is 0.44182591153061224
+fom density  430/2730 is 0.4410920724489796
+fom density  431/2730 is 0.44163464091836735
+fom density  432/2730 is 0.44186430408163263
+fom density  433/2730 is 0.4416378426530612
+fom density  434/2730 is 0.4413515376530612
+fom density  435/2730 is 0.44180255607142854
+fom density  436/2730 is 0.4408430575510204
+fom density  437/2730 is 0.4338960693877551
+fom density  438/2730 is 0.4361469578571428
+fom density  439/2730 is 0.4432197305612245
+fom density  440/2730 is 0.4457811046428571
+fom density  441/2730 is 0.4457839228571428
+fom density  442/2730 is 0.44527933908163264
+fom density  443/2730 is 0.44550560362244895
+fom density  444/2730 is 0.44586559239795914
+fom density  445/2730 is 0.44527884617346936
+fom density  446/2730 is 0.4454023642857143
+fom density  447/2730 is 0.44510808387755096
+fom density  448/2730 is 0.4441446846428571
+fom density  449/2730 is 0.43660672061224487
+fom density  450/2730 is 0.4356997533673469
+fom density  451/2730 is 0.44075980249999996
+fom density  452/2730 is 0.44726940301020407
+fom density  453/2730 is 0.4529267408673469
+fom density  454/2730 is 0.46145210474489795
+fom density  455/2730 is 0.4695050980612245
+{{ CHECK }} 455/2730
+fom density  456/2730 is 0.46435853999999993
+fom density  457/2730 is 0.4574046132142857
+fom density  458/2730 is 0.45167388219387755
+fom density  459/2730 is 0.44192808806122447
+fom density  460/2730 is 0.43325823535714286
+fom density  461/2730 is 0.42633175295918363
+fom density  462/2730 is 0.4244249171938775
+fom density  463/2730 is 0.4286217396938775
+fom density  464/2730 is 0.4349849401530612
+fom density  465/2730 is 0.4417523843877551
+fom density  466/2730 is 0.4506033826020408
+fom density  467/2730 is 0.45497297627551014
+fom density  468/2730 is 0.4585715783163265
+fom density  469/2730 is 0.4601916157653061
+fom density  470/2730 is 0.46200470392857146
+fom density  471/2730 is 0.4626492453061224
+fom density  472/2730 is 0.46223733357142854
+fom density  473/2730 is 0.4608034376530612
+fom density  474/2730 is 0.4552916334693877
+fom density  475/2730 is 0.45013074918367346
+fom density  476/2730 is 0.44466034979591834
+fom density  477/2730 is 0.43942362489795916
+fom density  478/2730 is 0.4323472785204081
+fom density  479/2730 is 0.4361752418367347
+fom density  480/2730 is 0.44410602892857143
+fom density  481/2730 is 0.4436000501530612
+fom density  482/2730 is 0.44303255974489797
+fom density  483/2730 is 0.442674331632653
+fom density  484/2730 is 0.4432193778571429
+fom density  485/2730 is 0.44397106647959184
+fom density  486/2730 is 0.443565156377551
+fom density  487/2730 is 0.44324254301020405
+fom density  488/2730 is 0.44301406408163263
+fom density  489/2730 is 0.4393314283673469
+fom density  490/2730 is 0.4311548434693877
+fom density  491/2730 is 0.43253576719387754
+fom density  492/2730 is 0.44038336647959186
+fom density  493/2730 is 0.4395342931122449
+fom density  494/2730 is 0.43977085280612244
+fom density  495/2730 is 0.4388471816836735
+fom density  496/2730 is 0.4395361851020408
+fom density  497/2730 is 0.4400402767857143
+fom density  498/2730 is 0.4397991126020408
+fom density  499/2730 is 0.4394813365306122
+fom density  500/2730 is 0.43993046653061224
+fom density  501/2730 is 0.438829273622449
+fom density  502/2730 is 0.43165902857142857
+fom density  503/2730 is 0.43396174362244894
+fom density  504/2730 is 0.4413260035204082
+fom density  505/2730 is 0.4439333642857143
+fom density  506/2730 is 0.4438072422959184
+fom density  507/2730 is 0.44313906739795916
+fom density  508/2730 is 0.44344757346938773
+fom density  509/2730 is 0.44409143897959186
+fom density  510/2730 is 0.44346385239795916
+fom density  511/2730 is 0.4436252976020408
+fom density  512/2730 is 0.44325713096938774
+fom density  513/2730 is 0.4422171019387755
+fom density  514/2730 is 0.43440276239795916
+fom density  515/2730 is 0.43351982102040815
+fom density  516/2730 is 0.4388332490816326
+fom density  517/2730 is 0.44544276933673466
+fom density  518/2730 is 0.45128717438775506
+fom density  519/2730 is 0.4597119312755102
+fom density  520/2730 is 0.46832248882653055
+{{ CHECK }} 520/2730
+fom density  521/2730 is 0.4729257797959183
+fom density  522/2730 is 0.46482631005102043
+fom density  523/2730 is 0.4567267842857143
+fom density  524/2730 is 0.4486848627040816
+fom density  525/2730 is 0.44231822153061223
+fom density  526/2730 is 0.43750376352040815
+fom density  527/2730 is 0.43711269862244895
+fom density  528/2730 is 0.4430335325
+fom density  529/2730 is 0.44725610974489793
+fom density  530/2730 is 0.4520056592857143
+fom density  531/2730 is 0.45914819831632653
+fom density  532/2730 is 0.4639437565816326
+fom density  533/2730 is 0.4690420469387755
+fom density  534/2730 is 0.46982559086734693
+fom density  535/2730 is 0.47038926979591833
+fom density  536/2730 is 0.4698274283163265
+fom density  537/2730 is 0.46761431867346936
+fom density  538/2730 is 0.46372529979591837
+fom density  539/2730 is 0.45967519749999997
+fom density  540/2730 is 0.45588996948979593
+fom density  541/2730 is 0.4509725610714286
+fom density  542/2730 is 0.4463249165306122
+fom density  543/2730 is 0.44001506051020406
+fom density  544/2730 is 0.44345337484693875
+fom density  545/2730 is 0.4505316247448979
+fom density  546/2730 is 0.450035437755102
+fom density  547/2730 is 0.44948184908163263
+fom density  548/2730 is 0.44913499607142854
+fom density  549/2730 is 0.44969396571428566
+fom density  550/2730 is 0.450427475255102
+fom density  551/2730 is 0.4500742532142857
+fom density  552/2730 is 0.4497761034183673
+fom density  553/2730 is 0.4495295664795918
+fom density  554/2730 is 0.44623607908163265
+fom density  555/2730 is 0.43894889908163265
+fom density  556/2730 is 0.44016790311224485
+fom density  557/2730 is 0.4471812462244898
+fom density  558/2730 is 0.4463388721428571
+fom density  559/2730 is 0.4465230391836735
+fom density  560/2730 is 0.4456573459693878
+fom density  561/2730 is 0.44639180096938774
+fom density  562/2730 is 0.4468966458673469
+fom density  563/2730 is 0.4466606702040816
+fom density  564/2730 is 0.4464187301020408
+fom density  565/2730 is 0.44677727183673466
+fom density  566/2730 is 0.4457673682653061
+fom density  567/2730 is 0.4393931245918367
+fom density  568/2730 is 0.44150133770408156
+fom density  569/2730 is 0.4480560600510204
+fom density  570/2730 is 0.4503467194897959
+fom density  571/2730 is 0.45014723525510203
+fom density  572/2730 is 0.4495274103061224
+fom density  573/2730 is 0.44989762540816325
+fom density  574/2730 is 0.4505076059183673
+fom density  575/2730 is 0.44991775403061224
+fom density  576/2730 is 0.4501552339795918
+fom density  577/2730 is 0.44974177974489793
+fom density  578/2730 is 0.448811667755102
+fom density  579/2730 is 0.4418609995408163
+fom density  580/2730 is 0.44109474285714284
+fom density  581/2730 is 0.44583040255102035
+fom density  582/2730 is 0.4517772757142857
+fom density  583/2730 is 0.4563876277040816
+fom density  584/2730 is 0.46436079923469387
+fom density  585/2730 is 0.4731013020918367
+{{ CHECK }} 585/2730
+fom density  586/2730 is 0.47331807163265305
+fom density  587/2730 is 0.464973636377551
+fom density  588/2730 is 0.4565423161734694
+fom density  589/2730 is 0.448812125
+fom density  590/2730 is 0.44435280117346937
+fom density  591/2730 is 0.44146628719387754
+fom density  592/2730 is 0.4433352459183673
+fom density  593/2730 is 0.4502679644387755
+fom density  594/2730 is 0.45283964336734694
+fom density  595/2730 is 0.4558601654591837
+fom density  596/2730 is 0.46205676168367343
+fom density  597/2730 is 0.46809696117346933
+fom density  598/2730 is 0.47482857933673467
+fom density  599/2730 is 0.4766014799489796
+fom density  600/2730 is 0.47633881433673464
+fom density  601/2730 is 0.47498823571428567
+fom density  602/2730 is 0.4715584085714285
+fom density  603/2730 is 0.4664104518367347
+fom density  604/2730 is 0.46403081688775505
+fom density  605/2730 is 0.4618459896428571
+fom density  606/2730 is 0.4575129353571428
+fom density  607/2730 is 0.45345575627551016
+fom density  608/2730 is 0.4478655044897959
+fom density  609/2730 is 0.4507822710714286
+fom density  610/2730 is 0.4569808132653061
+fom density  611/2730 is 0.456547993877551
+fom density  612/2730 is 0.4560825368367347
+fom density  613/2730 is 0.4558215319387755
+fom density  614/2730 is 0.4562990381632653
+fom density  615/2730 is 0.457003856122449
+fom density  616/2730 is 0.45676162556122446
+fom density  617/2730 is 0.4564315082653061
+fom density  618/2730 is 0.45622851612244897
+fom density  619/2730 is 0.45335960979591833
+fom density  620/2730 is 0.4469340018877551
+fom density  621/2730 is 0.4478892970918367
+fom density  622/2730 is 0.45402145535714283
+fom density  623/2730 is 0.45322949709183674
+fom density  624/2730 is 0.4534746419387755
+fom density  625/2730 is 0.4527084707142857
+fom density  626/2730 is 0.4533412708163265
+fom density  627/2730 is 0.4538560734693877
+fom density  628/2730 is 0.45373075387755096
+fom density  629/2730 is 0.453464212755102
+fom density  630/2730 is 0.4537675706632653
+fom density  631/2730 is 0.45291603061224484
+fom density  632/2730 is 0.4473166298979592
+fom density  633/2730 is 0.44910440045918365
+fom density  634/2730 is 0.45478771117346933
+fom density  635/2730 is 0.45679429234693875
+fom density  636/2730 is 0.456656105
+fom density  637/2730 is 0.45617125658163266
+fom density  638/2730 is 0.45644582204081635
+fom density  639/2730 is 0.4570383789285714
+fom density  640/2730 is 0.4565870770918367
+fom density  641/2730 is 0.45677206265306125
+fom density  642/2730 is 0.4563861300510204
+fom density  643/2730 is 0.4556092598979592
+fom density  644/2730 is 0.44953113147959184
+fom density  645/2730 is 0.4487752005612245
+fom density  646/2730 is 0.45285587265306115
+fom density  647/2730 is 0.4580993135714286
+fom density  648/2730 is 0.4619315101020408
+fom density  649/2730 is 0.4689100433163265
+fom density  650/2730 is 0.4759997963265306
+{{ CHECK }} 650/2730
+fom density  651/2730 is 0.46622934974489794
+fom density  652/2730 is 0.4579057844897959
+fom density  653/2730 is 0.44878367872448977
+fom density  654/2730 is 0.44120670923469385
+fom density  655/2730 is 0.43648760545918364
+fom density  656/2730 is 0.43293883489795915
+fom density  657/2730 is 0.43505661862244893
+fom density  658/2730 is 0.4437957364285714
+fom density  659/2730 is 0.44699434857142856
+fom density  660/2730 is 0.45038954464285713
+fom density  661/2730 is 0.4569761937244898
+fom density  662/2730 is 0.4637755891836734
+fom density  663/2730 is 0.47189507484693877
+fom density  664/2730 is 0.47522323499999997
+fom density  665/2730 is 0.4759339054081632
+fom density  666/2730 is 0.4758329835714285
+fom density  667/2730 is 0.4730765083163265
+fom density  668/2730 is 0.46765567668367347
+fom density  669/2730 is 0.4667517196938775
+fom density  670/2730 is 0.46606733719387755
+fom density  671/2730 is 0.46205578913265305
+fom density  672/2730 is 0.4583801540306123
+fom density  673/2730 is 0.45332314168367344
+fom density  674/2730 is 0.4558278793877551
+fom density  675/2730 is 0.46145868821428565
+fom density  676/2730 is 0.46117330443877547
+fom density  677/2730 is 0.4607648311224489
+fom density  678/2730 is 0.4604963922959183
+fom density  679/2730 is 0.4608349557142857
+fom density  680/2730 is 0.4615704931632653
+fom density  681/2730 is 0.46148891459183666
+fom density  682/2730 is 0.46111057704081626
+fom density  683/2730 is 0.46087561474489797
+fom density  684/2730 is 0.45829783352040815
+fom density  685/2730 is 0.4525068157653061
+fom density  686/2730 is 0.4532735917346939
+fom density  687/2730 is 0.45888991836734694
+fom density  688/2730 is 0.45830998316326527
+fom density  689/2730 is 0.458480032755102
+fom density  690/2730 is 0.45780634173469387
+fom density  691/2730 is 0.4582516420918367
+fom density  692/2730 is 0.4588195110714286
+fom density  693/2730 is 0.458828401377551
+fom density  694/2730 is 0.4585547057653061
+fom density  695/2730 is 0.45877634790816324
+fom density  696/2730 is 0.4579256087755102
+fom density  697/2730 is 0.4528660852040816
+fom density  698/2730 is 0.4543134139285714
+fom density  699/2730 is 0.4595610152040816
+fom density  700/2730 is 0.4614249131632653
+fom density  701/2730 is 0.4612610575
+fom density  702/2730 is 0.4608609488265306
+fom density  703/2730 is 0.46099903484693877
+fom density  704/2730 is 0.46160622525510203
+fom density  705/2730 is 0.4613346231122449
+fom density  706/2730 is 0.4614753102040816
+fom density  707/2730 is 0.46105094964285714
+fom density  708/2730 is 0.46029850744897954
+fom density  709/2730 is 0.4548057450510204
+fom density  710/2730 is 0.4540012100510204
+fom density  711/2730 is 0.4578128919897959
+fom density  712/2730 is 0.4625852031122449
+fom density  713/2730 is 0.46603941744897953
+fom density  714/2730 is 0.47188303464285714
+fom density  715/2730 is 0.4772717101530612
+{{ CHECK }} 715/2730
+fom density  716/2730 is 0.4583452561224489
+fom density  717/2730 is 0.4499743781632653
+fom density  718/2730 is 0.4404855469897959
+fom density  719/2730 is 0.43192765627551016
+fom density  720/2730 is 0.42623707545918366
+fom density  721/2730 is 0.42205851719387755
+fom density  722/2730 is 0.42440829744897957
+fom density  723/2730 is 0.43429369979591836
+fom density  724/2730 is 0.43771504724489796
+fom density  725/2730 is 0.4416391408673469
+fom density  726/2730 is 0.44930727413265303
+fom density  727/2730 is 0.45720774954081633
+fom density  728/2730 is 0.46656861234693875
+fom density  729/2730 is 0.4711587497448979
+fom density  730/2730 is 0.47233863857142855
+fom density  731/2730 is 0.4728302218877551
+fom density  732/2730 is 0.47056992045918367
+fom density  733/2730 is 0.465103066632653
+fom density  734/2730 is 0.46505991683673464
+fom density  735/2730 is 0.4654424559693877
+fom density  736/2730 is 0.4615857476530612
+fom density  737/2730 is 0.45814424627551015
+fom density  738/2730 is 0.4535211466836735
+fom density  739/2730 is 0.4563691425510204
+fom density  740/2730 is 0.4623083883163265
+fom density  741/2730 is 0.4619489720918367
+fom density  742/2730 is 0.4610831920408163
+fom density  743/2730 is 0.46061662785714286
+fom density  744/2730 is 0.4607289222448979
+fom density  745/2730 is 0.46052848341836733
+fom density  746/2730 is 0.45961965316326525
+fom density  747/2730 is 0.45850008709183676
+fom density  748/2730 is 0.45735856270408165
+fom density  749/2730 is 0.4541965
+fom density  750/2730 is 0.44805338846938775
+fom density  751/2730 is 0.4487483873469387
+fom density  752/2730 is 0.45482460178571427
+fom density  753/2730 is 0.4546910107653061
+fom density  754/2730 is 0.4546680108163265
+fom density  755/2730 is 0.45418673688775507
+fom density  756/2730 is 0.4548615944387755
+fom density  757/2730 is 0.45537859341836734
+fom density  758/2730 is 0.45526189484693874
+fom density  759/2730 is 0.4547466532142857
+fom density  760/2730 is 0.45481351857142854
+fom density  761/2730 is 0.4538587627040816
+fom density  762/2730 is 0.44842307637755097
+fom density  763/2730 is 0.4496784603571428
+fom density  764/2730 is 0.4554528982653061
+fom density  765/2730 is 0.4577098659183673
+fom density  766/2730 is 0.45752575
+fom density  767/2730 is 0.4571957931632653
+fom density  768/2730 is 0.45759401535714284
+fom density  769/2730 is 0.4582254796938775
+fom density  770/2730 is 0.4578920830612245
+fom density  771/2730 is 0.45770187489795916
+fom density  772/2730 is 0.45719355352040814
+fom density  773/2730 is 0.4562724415816326
+fom density  774/2730 is 0.4504074981122449
+fom density  775/2730 is 0.44937632224489793
+fom density  776/2730 is 0.45365111918367346
+fom density  777/2730 is 0.45891124326530613
+fom density  778/2730 is 0.4624467093367347
+fom density  779/2730 is 0.46878208974489793
+fom density  780/2730 is 0.4752080969897959
+{{ CHECK }} 780/2730
+fom density  781/2730 is 0.4510387805612245
+fom density  782/2730 is 0.4405998355612245
+fom density  783/2730 is 0.4288813434693877
+fom density  784/2730 is 0.41923589938775513
+fom density  785/2730 is 0.4127648514285714
+fom density  786/2730 is 0.4080458962755102
+fom density  787/2730 is 0.41072126321428565
+fom density  788/2730 is 0.42234347530612243
+fom density  789/2730 is 0.42626182474489793
+fom density  790/2730 is 0.4307218707653061
+fom density  791/2730 is 0.43986856729591833
+fom density  792/2730 is 0.44925149770408157
+fom density  793/2730 is 0.4602534962244898
+fom density  794/2730 is 0.46696078831632654
+fom density  795/2730 is 0.46969050234693877
+fom density  796/2730 is 0.47153731683673467
+fom density  797/2730 is 0.4705060318367347
+fom density  798/2730 is 0.46557124280612244
+fom density  799/2730 is 0.4673045567346939
+fom density  800/2730 is 0.469716495255102
+fom density  801/2730 is 0.4664906943367347
+fom density  802/2730 is 0.4635868225
+fom density  803/2730 is 0.4597469390306122
+fom density  804/2730 is 0.4625380318877551
+fom density  805/2730 is 0.46790918469387754
+fom density  806/2730 is 0.46697889556122446
+fom density  807/2730 is 0.46548210795918366
+fom density  808/2730 is 0.4645121975
+fom density  809/2730 is 0.46409729331632654
+fom density  810/2730 is 0.4629624493367347
+fom density  811/2730 is 0.4614738981632653
+fom density  812/2730 is 0.45998091617346937
+fom density  813/2730 is 0.45811896709183675
+fom density  814/2730 is 0.4545128628061224
+fom density  815/2730 is 0.44832565709183675
+fom density  816/2730 is 0.44910233887755097
+fom density  817/2730 is 0.4551671306122449
+fom density  818/2730 is 0.45504290683673465
+fom density  819/2730 is 0.45493222678571427
+fom density  820/2730 is 0.4545041024489796
+fom density  821/2730 is 0.4551133308163265
+fom density  822/2730 is 0.45547457127551016
+fom density  823/2730 is 0.455332428622449
+fom density  824/2730 is 0.45500338045918365
+fom density  825/2730 is 0.4551822211734694
+fom density  826/2730 is 0.4542204485714285
+fom density  827/2730 is 0.44874086535714286
+fom density  828/2730 is 0.44996784964285713
+fom density  829/2730 is 0.45577356341836733
+fom density  830/2730 is 0.4579714803061224
+fom density  831/2730 is 0.45782369734693873
+fom density  832/2730 is 0.45747341112244894
+fom density  833/2730 is 0.4578700845408163
+fom density  834/2730 is 0.4583738671938775
+fom density  835/2730 is 0.4579915676530612
+fom density  836/2730 is 0.45788600132653057
+fom density  837/2730 is 0.45755003362244895
+fom density  838/2730 is 0.45660719765306124
+fom density  839/2730 is 0.450689030255102
+fom density  840/2730 is 0.4497006665816326
+fom density  841/2730 is 0.4539535732653061
+fom density  842/2730 is 0.4592255716326531
+fom density  843/2730 is 0.462292988010204
+fom density  844/2730 is 0.46860408775510204
+fom density  845/2730 is 0.47522131387755095
+{{ CHECK }} 845/2730
+fom density  846/2730 is 0.4429108357653061
+fom density  847/2730 is 0.43087757153061224
+fom density  848/2730 is 0.417552656632653
+fom density  849/2730 is 0.40657217765306125
+fom density  850/2730 is 0.3992101620408163
+fom density  851/2730 is 0.3938364022959184
+fom density  852/2730 is 0.39678315163265304
+fom density  853/2730 is 0.41019300739795916
+fom density  854/2730 is 0.4144966270408163
+fom density  855/2730 is 0.41946617474489795
+fom density  856/2730 is 0.43005383918367346
+fom density  857/2730 is 0.4408928203571429
+fom density  858/2730 is 0.45353637688775505
+fom density  859/2730 is 0.4623113526020408
+fom density  860/2730 is 0.4666962864285714
+fom density  861/2730 is 0.46996369632653057
+fom density  862/2730 is 0.47012009801020405
+fom density  863/2730 is 0.4657515395918367
+fom density  864/2730 is 0.4692886902040816
+fom density  865/2730 is 0.47371438107142855
+fom density  866/2730 is 0.47114094668367346
+fom density  867/2730 is 0.4687855114795918
+fom density  868/2730 is 0.4657994900510204
+fom density  869/2730 is 0.46859374295918366
+fom density  870/2730 is 0.4734019087244898
+fom density  871/2730 is 0.47191024413265303
+fom density  872/2730 is 0.46982756540816323
+fom density  873/2730 is 0.4682391733673469
+fom density  874/2730 is 0.4673054254591837
+fom density  875/2730 is 0.465365835255102
+fom density  876/2730 is 0.46315049872448977
+fom density  877/2730 is 0.4612134911734694
+fom density  878/2730 is 0.45862361612244895
+fom density  879/2730 is 0.4545966246938775
+fom density  880/2730 is 0.4484548120918367
+fom density  881/2730 is 0.449364501377551
+fom density  882/2730 is 0.4554455126020408
+fom density  883/2730 is 0.4553361853571428
+fom density  884/2730 is 0.45509702908163263
+fom density  885/2730 is 0.4546031014795918
+fom density  886/2730 is 0.4553236846428571
+fom density  887/2730 is 0.4556257277040816
+fom density  888/2730 is 0.45531738806122446
+fom density  889/2730 is 0.4550526441836734
+fom density  890/2730 is 0.45529660540816325
+fom density  891/2730 is 0.4543265329591837
+fom density  892/2730 is 0.448880342244898
+fom density  893/2730 is 0.4501884202040816
+fom density  894/2730 is 0.4560940178571428
+fom density  895/2730 is 0.4582743770918367
+fom density  896/2730 is 0.45798904607142854
+fom density  897/2730 is 0.4575696376530612
+fom density  898/2730 is 0.45801658755102037
+fom density  899/2730 is 0.45851591954081633
+fom density  900/2730 is 0.4580130882142857
+fom density  901/2730 is 0.4579316420408163
+fom density  902/2730 is 0.45766604
+fom density  903/2730 is 0.4567026462244898
+fom density  904/2730 is 0.450752466377551
+fom density  905/2730 is 0.4499068269897959
+fom density  906/2730 is 0.4542603457653061
+fom density  907/2730 is 0.4595562526530612
+fom density  908/2730 is 0.4629086296938775
+fom density  909/2730 is 0.46916232010204084
+fom density  910/2730 is 0.4752502826020408
+{{ CHECK }} 910/2730
+fom density  911/2730 is 0.43710978969387754
+fom density  912/2730 is 0.42429068045918367
+fom density  913/2730 is 0.41027650382653064
+fom density  914/2730 is 0.39754065193877547
+fom density  915/2730 is 0.3897622531122449
+fom density  916/2730 is 0.3838282780102041
+fom density  917/2730 is 0.38701131612244893
+fom density  918/2730 is 0.40170204107142854
+fom density  919/2730 is 0.40626129724489796
+fom density  920/2730 is 0.41166961505102034
+fom density  921/2730 is 0.42333406632653064
+fom density  922/2730 is 0.43534217852040813
+fom density  923/2730 is 0.44908201341836734
+fom density  924/2730 is 0.45948368688775504
+fom density  925/2730 is 0.46496089744897956
+fom density  926/2730 is 0.4692223595918367
+fom density  927/2730 is 0.47020356617346937
+fom density  928/2730 is 0.46634211112244894
+fom density  929/2730 is 0.4714884022448979
+fom density  930/2730 is 0.4775354565816326
+fom density  931/2730 is 0.47560207071428573
+fom density  932/2730 is 0.4737478821428571
+fom density  933/2730 is 0.47141964096938777
+fom density  934/2730 is 0.47420055163265307
+fom density  935/2730 is 0.4784572437755102
+fom density  936/2730 is 0.47638872765306123
+fom density  937/2730 is 0.47395075163265304
+fom density  938/2730 is 0.4717781336734694
+fom density  939/2730 is 0.4701968632653061
+fom density  940/2730 is 0.46738651295918365
+fom density  941/2730 is 0.46452051530612243
+fom density  942/2730 is 0.4621894901020408
+fom density  943/2730 is 0.4589702790306122
+fom density  944/2730 is 0.4544530102040816
+fom density  945/2730 is 0.44816192321428566
+fom density  946/2730 is 0.4491557757653061
+fom density  947/2730 is 0.45511333510204083
+fom density  948/2730 is 0.45491388489795914
+fom density  949/2730 is 0.45489797545918365
+fom density  950/2730 is 0.45435813556122445
+fom density  951/2730 is 0.45505401576530613
+fom density  952/2730 is 0.4552170993877551
+fom density  953/2730 is 0.45486224765306116
+fom density  954/2730 is 0.45475965744897956
+fom density  955/2730 is 0.4551866505612244
+fom density  956/2730 is 0.45420289806122444
+fom density  957/2730 is 0.44858183709183674
+fom density  958/2730 is 0.4500271247959184
+fom density  959/2730 is 0.4557681452040816
+fom density  960/2730 is 0.45792497821428574
+fom density  961/2730 is 0.4577904720918367
+fom density  962/2730 is 0.45731050168367343
+fom density  963/2730 is 0.4577495681632653
+fom density  964/2730 is 0.45810568306122446
+fom density  965/2730 is 0.4575241656122449
+fom density  966/2730 is 0.45759506704081626
+fom density  967/2730 is 0.45758654811224486
+fom density  968/2730 is 0.4566056454591837
+fom density  969/2730 is 0.4504925125
+fom density  970/2730 is 0.44969997617346935
+fom density  971/2730 is 0.45393798561224485
+fom density  972/2730 is 0.4593261849489796
+fom density  973/2730 is 0.46297389479591833
+fom density  974/2730 is 0.46792553984693874
+fom density  975/2730 is 0.4725878072959183
+{{ CHECK }} 975/2730
+fom density  976/2730 is 0.43016762545918363
+fom density  977/2730 is 0.4164682193367347
+fom density  978/2730 is 0.401490482755102
+fom density  979/2730 is 0.3876799932653061
+fom density  980/2730 is 0.3798046665816326
+fom density  981/2730 is 0.37377062729591837
+fom density  982/2730 is 0.3774176025
+fom density  983/2730 is 0.3935047346938775
+fom density  984/2730 is 0.39949511581632646
+fom density  985/2730 is 0.4062140910204081
+fom density  986/2730 is 0.41928904091836733
+fom density  987/2730 is 0.43268945306122447
+fom density  988/2730 is 0.4477336539285714
+fom density  989/2730 is 0.4594388389285714
+fom density  990/2730 is 0.4656954901020408
+fom density  991/2730 is 0.4705345729591836
+fom density  992/2730 is 0.4722059931632653
+fom density  993/2730 is 0.4688115623469387
+fom density  994/2730 is 0.4744873120408163
+fom density  995/2730 is 0.48139567719387755
+fom density  996/2730 is 0.48004983357142855
+fom density  997/2730 is 0.4787670806122449
+fom density  998/2730 is 0.477152192755102
+fom density  999/2730 is 0.4799482120408163
+fom density  1000/2730 is 0.4835161985714286
+fom density  1001/2730 is 0.48090407918367345
+fom density  1002/2730 is 0.4780876851020408
+fom density  1003/2730 is 0.4753836479081633
+fom density  1004/2730 is 0.4731148373979592
+fom density  1005/2730 is 0.4696506375510204
+fom density  1006/2730 is 0.46627854658163265
+fom density  1007/2730 is 0.46340100683673463
+fom density  1008/2730 is 0.4594556893367347
+fom density  1009/2730 is 0.4544540625
+fom density  1010/2730 is 0.4480732945408163
+fom density  1011/2730 is 0.44909526984693876
+fom density  1012/2730 is 0.45495300280612244
+fom density  1013/2730 is 0.4547506081122449
+fom density  1014/2730 is 0.4550597447448979
+fom density  1015/2730 is 0.4542875736734694
+fom density  1016/2730 is 0.4547621967857143
+fom density  1017/2730 is 0.45504023362244894
+fom density  1018/2730 is 0.45473935551020406
+fom density  1019/2730 is 0.4547265070918367
+fom density  1020/2730 is 0.4552979867346939
+fom density  1021/2730 is 0.4542270532653061
+fom density  1022/2730 is 0.44849720505102036
+fom density  1023/2730 is 0.4499960714285714
+fom density  1024/2730 is 0.45556750836734694
+fom density  1025/2730 is 0.4577929553061224
+fom density  1026/2730 is 0.4578681423469388
+fom density  1027/2730 is 0.45723177107142854
+fom density  1028/2730 is 0.4574870175
+fom density  1029/2730 is 0.45791486719387753
+fom density  1030/2730 is 0.45734050295918366
+fom density  1031/2730 is 0.4575736154591836
+fom density  1032/2730 is 0.4576885144387755
+fom density  1033/2730 is 0.4566078578061224
+fom density  1034/2730 is 0.4504061139285714
+fom density  1035/2730 is 0.4496365099489796
+fom density  1036/2730 is 0.4538046343877551
+fom density  1037/2730 is 0.4592093603061224
+fom density  1038/2730 is 0.46333913948979594
+fom density  1039/2730 is 0.4699021885714285
+fom density  1040/2730 is 0.4770448492857143
+{{ CHECK }} 1040/2730
+fom density  1041/2730 is 0.430069987755102
+fom density  1042/2730 is 0.41527876520408163
+fom density  1043/2730 is 0.3993061165306122
+fom density  1044/2730 is 0.3856309139795918
+fom density  1045/2730 is 0.3779159091836734
+fom density  1046/2730 is 0.37190283887755105
+fom density  1047/2730 is 0.37529953683673467
+fom density  1048/2730 is 0.3915766014285714
+fom density  1049/2730 is 0.39804096183673465
+fom density  1050/2730 is 0.4050360487244898
+fom density  1051/2730 is 0.41840952346938776
+fom density  1052/2730 is 0.43214837224489794
+fom density  1053/2730 is 0.4474379327040816
+fom density  1054/2730 is 0.45955489892857143
+fom density  1055/2730 is 0.46595490647959187
+fom density  1056/2730 is 0.47105646535714285
+fom density  1057/2730 is 0.4732878842857142
+fom density  1058/2730 is 0.47026696882653063
+fom density  1059/2730 is 0.47638709698979587
+fom density  1060/2730 is 0.4839901751020408
+fom density  1061/2730 is 0.4832390984183673
+fom density  1062/2730 is 0.48253951051020405
+fom density  1063/2730 is 0.4817156822959183
+fom density  1064/2730 is 0.48479025857142855
+fom density  1065/2730 is 0.4880540241836735
+fom density  1066/2730 is 0.4850576661734694
+fom density  1067/2730 is 0.4819837426530612
+fom density  1068/2730 is 0.47878610663265303
+fom density  1069/2730 is 0.4757448678061224
+fom density  1070/2730 is 0.4715532443367347
+fom density  1071/2730 is 0.4675647008673469
+fom density  1072/2730 is 0.46386593928571423
+fom density  1073/2730 is 0.4589996389795918
+fom density  1074/2730 is 0.45357418612244893
+fom density  1075/2730 is 0.44721174030612243
+fom density  1076/2730 is 0.4482952868367347
+fom density  1077/2730 is 0.4541773901020408
+fom density  1078/2730 is 0.4539671027040816
+fom density  1079/2730 is 0.45448410535714284
+fom density  1080/2730 is 0.4536303153571429
+fom density  1081/2730 is 0.45396180602040814
+fom density  1082/2730 is 0.45439378877551023
+fom density  1083/2730 is 0.45423458045918363
+fom density  1084/2730 is 0.45403160698979594
+fom density  1085/2730 is 0.4543947509183673
+fom density  1086/2730 is 0.45333634280612245
+fom density  1087/2730 is 0.4475976279591837
+fom density  1088/2730 is 0.4492235859183673
+fom density  1089/2730 is 0.454774668622449
+fom density  1090/2730 is 0.45701623683673465
+fom density  1091/2730 is 0.4572553563265306
+fom density  1092/2730 is 0.45657526086734695
+fom density  1093/2730 is 0.45669731423469384
+fom density  1094/2730 is 0.457211623010204
+fom density  1095/2730 is 0.45682425285714284
+fom density  1096/2730 is 0.4569305614795918
+fom density  1097/2730 is 0.45682004153061223
+fom density  1098/2730 is 0.4557355070408163
+fom density  1099/2730 is 0.4495484899489796
+fom density  1100/2730 is 0.4488459756632653
+fom density  1101/2730 is 0.45301498566326526
+fom density  1102/2730 is 0.45854754663265307
+fom density  1103/2730 is 0.4627987722448979
+fom density  1104/2730 is 0.46933151127551015
+fom density  1105/2730 is 0.47608699117346936
+{{ CHECK }} 1105/2730
+fom density  1106/2730 is 0.4335963155612245
+fom density  1107/2730 is 0.4193695995408163
+fom density  1108/2730 is 0.4041761240306122
+fom density  1109/2730 is 0.39154917673469386
+fom density  1110/2730 is 0.3840811925510204
+fom density  1111/2730 is 0.37814784612244895
+fom density  1112/2730 is 0.3807435171938775
+fom density  1113/2730 is 0.39620440408163266
+fom density  1114/2730 is 0.4018198230612245
+fom density  1115/2730 is 0.4079399026530612
+fom density  1116/2730 is 0.42059751704081627
+fom density  1117/2730 is 0.4336319908163265
+fom density  1118/2730 is 0.44814053142857135
+fom density  1119/2730 is 0.4603344832142857
+fom density  1120/2730 is 0.4674235318877551
+fom density  1121/2730 is 0.47331608903061223
+fom density  1122/2730 is 0.47667110403061225
+fom density  1123/2730 is 0.4744106153571428
+fom density  1124/2730 is 0.48158333821428567
+fom density  1125/2730 is 0.49012131836734696
+fom density  1126/2730 is 0.49011998612244895
+fom density  1127/2730 is 0.49011998612244895
+fom density  1128/2730 is 0.490117987755102
+fom density  1129/2730 is 0.4928557869387755
+fom density  1130/2730 is 0.4951839702040816
+fom density  1131/2730 is 0.4912549056122449
+fom density  1132/2730 is 0.48741040122448975
+fom density  1133/2730 is 0.48347049678571424
+fom density  1134/2730 is 0.4794182295918367
+fom density  1135/2730 is 0.47418740938775505
+fom density  1136/2730 is 0.4695785857142857
+fom density  1137/2730 is 0.4652933420918367
+fom density  1138/2730 is 0.45968735484693873
+fom density  1139/2730 is 0.45399642979591837
+fom density  1140/2730 is 0.4477187632653061
+fom density  1141/2730 is 0.4488713407142857
+fom density  1142/2730 is 0.45471660275510206
+fom density  1143/2730 is 0.4543642206122449
+fom density  1144/2730 is 0.4548971038265306
+fom density  1145/2730 is 0.45421438862244895
+fom density  1146/2730 is 0.4544536190816327
+fom density  1147/2730 is 0.4546612681632653
+fom density  1148/2730 is 0.45448599408163265
+fom density  1149/2730 is 0.45426998045918365
+fom density  1150/2730 is 0.45465795678571425
+fom density  1151/2730 is 0.453738247755102
+fom density  1152/2730 is 0.4480773319897959
+fom density  1153/2730 is 0.449866513877551
+fom density  1154/2730 is 0.4553489718367347
+fom density  1155/2730 is 0.45743138857142857
+fom density  1156/2730 is 0.4577236199489796
+fom density  1157/2730 is 0.4571898276530612
+fom density  1158/2730 is 0.4572778723469388
+fom density  1159/2730 is 0.45755662102040817
+fom density  1160/2730 is 0.4571093384183673
+fom density  1161/2730 is 0.4572120230612245
+fom density  1162/2730 is 0.45710323163265304
+fom density  1163/2730 is 0.4561492213265306
+fom density  1164/2730 is 0.45006320244897957
+fom density  1165/2730 is 0.4494700219897959
+fom density  1166/2730 is 0.45354871607142855
+fom density  1167/2730 is 0.4590462016836735
+fom density  1168/2730 is 0.46366325923469387
+fom density  1169/2730 is 0.4701786993877551
+fom density  1170/2730 is 0.4762953613265306
+{{ CHECK }} 1170/2730
+fom density  1171/2730 is 0.4359834669897959
+fom density  1172/2730 is 0.4231166470918367
+fom density  1173/2730 is 0.40950778234693874
+fom density  1174/2730 is 0.39774521051020406
+fom density  1175/2730 is 0.3905471333673469
+fom density  1176/2730 is 0.3848385607142857
+fom density  1177/2730 is 0.3867025117857143
+fom density  1178/2730 is 0.40127168969387755
+fom density  1179/2730 is 0.4055251293367347
+fom density  1180/2730 is 0.41027358821428567
+fom density  1181/2730 is 0.42225294607142855
+fom density  1182/2730 is 0.43464710209183677
+fom density  1183/2730 is 0.4484401383673469
+fom density  1184/2730 is 0.45968139163265304
+fom density  1185/2730 is 0.46650573877551016
+fom density  1186/2730 is 0.4721548883163265
+fom density  1187/2730 is 0.475800746377551
+fom density  1188/2730 is 0.47354025770408165
+fom density  1189/2730 is 0.4812119605612245
+fom density  1190/2730 is 0.4901346408163265
+fom density  1191/2730 is 0.4901346408163265
+fom density  1192/2730 is 0.4901346408163265
+fom density  1193/2730 is 0.4901346408163265
+fom density  1194/2730 is 0.49287243999999997
+fom density  1195/2730 is 0.4951959604081632
+fom density  1196/2730 is 0.4903715562244898
+fom density  1197/2730 is 0.48561145045918364
+fom density  1198/2730 is 0.480885203877551
+fom density  1199/2730 is 0.4760124204081632
+fom density  1200/2730 is 0.47004765244897956
+fom density  1201/2730 is 0.4648308562244898
+fom density  1202/2730 is 0.45988540249999993
+fom density  1203/2730 is 0.45350047209183675
+fom density  1204/2730 is 0.4470098494897959
+fom density  1205/2730 is 0.43996470091836737
+fom density  1206/2730 is 0.4413052082653061
+fom density  1207/2730 is 0.4480627410714285
+fom density  1208/2730 is 0.44756786428571427
+fom density  1209/2730 is 0.4480296450510204
+fom density  1210/2730 is 0.44731110326530615
+fom density  1211/2730 is 0.44762090056122444
+fom density  1212/2730 is 0.44788250086734693
+fom density  1213/2730 is 0.4477080723469387
+fom density  1214/2730 is 0.44740781244897954
+fom density  1215/2730 is 0.44773168311224487
+fom density  1216/2730 is 0.44671470933673463
+fom density  1217/2730 is 0.4403771337244898
+fom density  1218/2730 is 0.44240558474489794
+fom density  1219/2730 is 0.44877766306122446
+fom density  1220/2730 is 0.4510860549489796
+fom density  1221/2730 is 0.4512692506632653
+fom density  1222/2730 is 0.45074750428571425
+fom density  1223/2730 is 0.4508525300510204
+fom density  1224/2730 is 0.45120427989795914
+fom density  1225/2730 is 0.45074354173469383
+fom density  1226/2730 is 0.4507860035714285
+fom density  1227/2730 is 0.45052248454081634
+fom density  1228/2730 is 0.4494810854591837
+fom density  1229/2730 is 0.4426559721428571
+fom density  1230/2730 is 0.441969653622449
+fom density  1231/2730 is 0.44669345683673467
+fom density  1232/2730 is 0.4527851554081633
+fom density  1233/2730 is 0.45818715428571427
+fom density  1234/2730 is 0.46549575244897956
+fom density  1235/2730 is 0.47268359765306117
+{{ CHECK }} 1235/2730
+fom density  1236/2730 is 0.44242553540816326
+fom density  1237/2730 is 0.4294040409693878
+fom density  1238/2730 is 0.4153708288265306
+fom density  1239/2730 is 0.4043139957142857
+fom density  1240/2730 is 0.3974404900510204
+fom density  1241/2730 is 0.3918698611734694
+fom density  1242/2730 is 0.39336348331632653
+fom density  1243/2730 is 0.4069842939795918
+fom density  1244/2730 is 0.4102079168877551
+fom density  1245/2730 is 0.4138149442346939
+fom density  1246/2730 is 0.42491709045918363
+fom density  1247/2730 is 0.43648212749999993
+fom density  1248/2730 is 0.4495020551020408
+fom density  1249/2730 is 0.459885529132653
+fom density  1250/2730 is 0.46638482540816323
+fom density  1251/2730 is 0.4718996389795918
+fom density  1252/2730 is 0.4755870728571428
+fom density  1253/2730 is 0.47332658418367346
+fom density  1254/2730 is 0.481011861122449
+fom density  1255/2730 is 0.4901346408163265
+fom density  1256/2730 is 0.4901346408163265
+fom density  1257/2730 is 0.4901346408163265
+fom density  1258/2730 is 0.4901346408163265
+fom density  1259/2730 is 0.49287243999999997
+fom density  1260/2730 is 0.4951959604081632
+fom density  1261/2730 is 0.4894833997959183
+fom density  1262/2730 is 0.48381257857142856
+fom density  1263/2730 is 0.4782770406122449
+fom density  1264/2730 is 0.47263123571428567
+fom density  1265/2730 is 0.46594068459183674
+fom density  1266/2730 is 0.46009902714285716
+fom density  1267/2730 is 0.4545604232653061
+fom density  1268/2730 is 0.4473787435204082
+fom density  1269/2730 is 0.44008775545918366
+fom density  1270/2730 is 0.43217872617346936
+fom density  1271/2730 is 0.43368105969387755
+fom density  1272/2730 is 0.44134930795918365
+fom density  1273/2730 is 0.44070971387755103
+fom density  1274/2730 is 0.4410620373979592
+fom density  1275/2730 is 0.44029909969387754
+fom density  1276/2730 is 0.4407267512755102
+fom density  1277/2730 is 0.4409906645408163
+fom density  1278/2730 is 0.4408402378061224
+fom density  1279/2730 is 0.44053269229591835
+fom density  1280/2730 is 0.44086191438775507
+fom density  1281/2730 is 0.4397470677040816
+fom density  1282/2730 is 0.4326517960204081
+fom density  1283/2730 is 0.4349231539285714
+fom density  1284/2730 is 0.44217771091836733
+fom density  1285/2730 is 0.4447142003571428
+fom density  1286/2730 is 0.4447425149489796
+fom density  1287/2730 is 0.4442239967857142
+fom density  1288/2730 is 0.4443447294387755
+fom density  1289/2730 is 0.44470297673469383
+fom density  1290/2730 is 0.44425307469387754
+fom density  1291/2730 is 0.4443262615306122
+fom density  1292/2730 is 0.4439779817857143
+fom density  1293/2730 is 0.4428716369387755
+fom density  1294/2730 is 0.4352107582653061
+fom density  1295/2730 is 0.43440863280612246
+fom density  1296/2730 is 0.43979432408163266
+fom density  1297/2730 is 0.446473631632653
+fom density  1298/2730 is 0.4522099680102041
+fom density  1299/2730 is 0.4606823457142857
+fom density  1300/2730 is 0.46967749862244895
+{{ CHECK }} 1300/2730
+fom density  1301/2730 is 0.4484333511734694
+fom density  1302/2730 is 0.43533405306122447
+fom density  1303/2730 is 0.42117869357142856
+fom density  1304/2730 is 0.41111659249999993
+fom density  1305/2730 is 0.4045068681122449
+fom density  1306/2730 is 0.39902095846938773
+fom density  1307/2730 is 0.3998786068877551
+fom density  1308/2730 is 0.4126119054591837
+fom density  1309/2730 is 0.41531927607142854
+fom density  1310/2730 is 0.4185030444387755
+fom density  1311/2730 is 0.42874722734693876
+fom density  1312/2730 is 0.4394001151020408
+fom density  1313/2730 is 0.45152979923469383
+fom density  1314/2730 is 0.4611227998979592
+fom density  1315/2730 is 0.46735777224489794
+fom density  1316/2730 is 0.4728040639285714
+fom density  1317/2730 is 0.4765539413265306
+fom density  1318/2730 is 0.47429345265306116
+fom density  1319/2730 is 0.4814822813265306
+fom density  1320/2730 is 0.4901346408163265
+fom density  1321/2730 is 0.4901346408163265
+fom density  1322/2730 is 0.4901346408163265
+fom density  1323/2730 is 0.4901346408163265
+fom density  1324/2730 is 0.49287243999999997
+fom density  1325/2730 is 0.4951959604081632
+fom density  1326/2730 is 0.4889897788265306
+fom density  1327/2730 is 0.48280211688775504
+fom density  1328/2730 is 0.47671821959183674
+fom density  1329/2730 is 0.4706332328571428
+fom density  1330/2730 is 0.4634416176020408
+fom density  1331/2730 is 0.4572027626530612
+fom density  1332/2730 is 0.45134313454081626
+fom density  1333/2730 is 0.44366873607142854
+fom density  1334/2730 is 0.43582945178571425
+fom density  1335/2730 is 0.42729381209183676
+fom density  1336/2730 is 0.4287399989795918
+fom density  1337/2730 is 0.4369250879591836
+fom density  1338/2730 is 0.4362634193367347
+fom density  1339/2730 is 0.436568252244898
+fom density  1340/2730 is 0.43581136081632654
+fom density  1341/2730 is 0.43639889295918366
+fom density  1342/2730 is 0.4366464481122449
+fom density  1343/2730 is 0.4364324768877551
+fom density  1344/2730 is 0.4361358468367347
+fom density  1345/2730 is 0.436582677755102
+fom density  1346/2730 is 0.43538791683673467
+fom density  1347/2730 is 0.42783132969387755
+fom density  1348/2730 is 0.4301288316326531
+fom density  1349/2730 is 0.43787006107142856
+fom density  1350/2730 is 0.44067139061224486
+fom density  1351/2730 is 0.44064387668367344
+fom density  1352/2730 is 0.4401404904081632
+fom density  1353/2730 is 0.44039219163265303
+fom density  1354/2730 is 0.4407684972959183
+fom density  1355/2730 is 0.44018713607142856
+fom density  1356/2730 is 0.44031250520408166
+fom density  1357/2730 is 0.44000066474489796
+fom density  1358/2730 is 0.4388385433673469
+fom density  1359/2730 is 0.4306346755612245
+fom density  1360/2730 is 0.42963039969387756
+fom density  1361/2730 is 0.4353092364285714
+fom density  1362/2730 is 0.44231079443877547
+fom density  1363/2730 is 0.44847242545918364
+fom density  1364/2730 is 0.45746412556122446
+fom density  1365/2730 is 0.4670997392346939
+{{ CHECK }} 1365/2730
+fom density  1366/2730 is 0.45292614448979585
+fom density  1367/2730 is 0.44015791030612245
+fom density  1368/2730 is 0.42649307959183674
+fom density  1369/2730 is 0.4171659878061224
+fom density  1370/2730 is 0.41078832719387753
+fom density  1371/2730 is 0.4054122825510204
+fom density  1372/2730 is 0.4055947472448979
+fom density  1373/2730 is 0.41751148989795916
+fom density  1374/2730 is 0.42041516403061224
+fom density  1375/2730 is 0.4234981995408163
+fom density  1376/2730 is 0.433097142755102
+fom density  1377/2730 is 0.4430811894897959
+fom density  1378/2730 is 0.45440487489795917
+fom density  1379/2730 is 0.46369584209183673
+fom density  1380/2730 is 0.4702927561224489
+fom density  1381/2730 is 0.4761072345918367
+fom density  1382/2730 is 0.4803773366836735
+fom density  1383/2730 is 0.47858597520408164
+fom density  1384/2730 is 0.4851637355102041
+fom density  1385/2730 is 0.4930345875510204
+fom density  1386/2730 is 0.4930345875510204
+fom density  1387/2730 is 0.4930345875510204
+fom density  1388/2730 is 0.4930345875510204
+fom density  1389/2730 is 0.49522500683673465
+fom density  1390/2730 is 0.49695500117346936
+fom density  1391/2730 is 0.49065339397959185
+fom density  1392/2730 is 0.48452600928571427
+fom density  1393/2730 is 0.47852834193877547
+fom density  1394/2730 is 0.4727501024489796
+fom density  1395/2730 is 0.46625545040816324
+fom density  1396/2730 is 0.4605286190306122
+fom density  1397/2730 is 0.45507368933673464
+fom density  1398/2730 is 0.4479267664285714
+fom density  1399/2730 is 0.4405796779081632
+fom density  1400/2730 is 0.432614023877551
+fom density  1401/2730 is 0.4340409824489796
+fom density  1402/2730 is 0.4416997337244898
+fom density  1403/2730 is 0.4408031412755102
+fom density  1404/2730 is 0.44103153331632655
+fom density  1405/2730 is 0.4401382271428571
+fom density  1406/2730 is 0.44083704045918365
+fom density  1407/2730 is 0.44130732785714283
+fom density  1408/2730 is 0.44105725352040814
+fom density  1409/2730 is 0.4407882219897959
+fom density  1410/2730 is 0.44121508010204075
+fom density  1411/2730 is 0.44009371780612244
+fom density  1412/2730 is 0.433117203877551
+fom density  1413/2730 is 0.435441798877551
+fom density  1414/2730 is 0.4426225284693877
+fom density  1415/2730 is 0.44512877709183674
+fom density  1416/2730 is 0.44500001448979587
+fom density  1417/2730 is 0.4443490571938775
+fom density  1418/2730 is 0.4446762718877551
+fom density  1419/2730 is 0.445278046122449
+fom density  1420/2730 is 0.44465864061224486
+fom density  1421/2730 is 0.4448580403061224
+fom density  1422/2730 is 0.44447218367346936
+fom density  1423/2730 is 0.4434472353571428
+fom density  1424/2730 is 0.4358246941836734
+fom density  1425/2730 is 0.43499409331632655
+fom density  1426/2730 is 0.44015087397959185
+fom density  1427/2730 is 0.44667257234693875
+fom density  1428/2730 is 0.45258272499999996
+fom density  1429/2730 is 0.4603387806122449
+fom density  1430/2730 is 0.46806855525510205
+{{ CHECK }} 1430/2730
+fom density  1431/2730 is 0.45641279301020404
+fom density  1432/2730 is 0.44502091454081627
+fom density  1433/2730 is 0.43280250428571426
+fom density  1434/2730 is 0.423805333877551
+fom density  1435/2730 is 0.4175108715306122
+fom density  1436/2730 is 0.41214752765306123
+fom density  1437/2730 is 0.4117556843367347
+fom density  1438/2730 is 0.422744525
+fom density  1439/2730 is 0.4258954681632653
+fom density  1440/2730 is 0.4291932270918367
+fom density  1441/2730 is 0.4379067014285714
+fom density  1442/2730 is 0.4471000044897959
+fom density  1443/2730 is 0.45756579464285707
+fom density  1444/2730 is 0.4663428758673469
+fom density  1445/2730 is 0.47316285867346936
+fom density  1446/2730 is 0.4792857558673469
+fom density  1447/2730 is 0.48392757811224485
+fom density  1448/2730 is 0.48244386183673466
+fom density  1449/2730 is 0.48814729102040816
+fom density  1450/2730 is 0.4949316756122449
+fom density  1451/2730 is 0.4949316756122449
+fom density  1452/2730 is 0.4949316756122449
+fom density  1453/2730 is 0.4949316756122449
+fom density  1454/2730 is 0.4967395190816326
+fom density  1455/2730 is 0.4981637890306122
+fom density  1456/2730 is 0.49243977974489794
+fom density  1457/2730 is 0.48690427071428566
+fom density  1458/2730 is 0.4814866589285714
+fom density  1459/2730 is 0.47625384749999994
+fom density  1460/2730 is 0.4705205714285714
+fom density  1461/2730 is 0.4653805175
+fom density  1462/2730 is 0.46051606918367344
+fom density  1463/2730 is 0.45414953438775507
+fom density  1464/2730 is 0.4476128009693877
+fom density  1465/2730 is 0.44055202755102035
+fom density  1466/2730 is 0.4417647454591837
+fom density  1467/2730 is 0.44857054913265304
+fom density  1468/2730 is 0.4477193112755102
+fom density  1469/2730 is 0.4478977897959183
+fom density  1470/2730 is 0.4470639365306122
+fom density  1471/2730 is 0.4478348704081632
+fom density  1472/2730 is 0.4483286256632653
+fom density  1473/2730 is 0.4480588619387755
+fom density  1474/2730 is 0.4477925948469388
+fom density  1475/2730 is 0.4481603871938776
+fom density  1476/2730 is 0.4471544085714285
+fom density  1477/2730 is 0.44099301591836737
+fom density  1478/2730 is 0.4430599222959184
+fom density  1479/2730 is 0.4494266075510204
+fom density  1480/2730 is 0.45165937872448975
+fom density  1481/2730 is 0.4514491270408163
+fom density  1482/2730 is 0.4508682162244898
+fom density  1483/2730 is 0.4512568664795918
+fom density  1484/2730 is 0.4518746093367347
+fom density  1485/2730 is 0.45125520545918363
+fom density  1486/2730 is 0.4514605122959184
+fom density  1487/2730 is 0.4510559543877551
+fom density  1488/2730 is 0.45016018994897955
+fom density  1489/2730 is 0.4434195573979592
+fom density  1490/2730 is 0.4426509645408163
+fom density  1491/2730 is 0.4472303362755102
+fom density  1492/2730 is 0.45306803892857145
+fom density  1493/2730 is 0.45858830841836734
+fom density  1494/2730 is 0.4656577995408163
+fom density  1495/2730 is 0.47271042086734694
+{{ CHECK }} 1495/2730
+fom density  1496/2730 is 0.460085852755102
+fom density  1497/2730 is 0.4495426312755102
+fom density  1498/2730 is 0.43821606295918364
+fom density  1499/2730 is 0.43000607887755105
+fom density  1500/2730 is 0.4239532983673469
+fom density  1501/2730 is 0.41883191387755103
+fom density  1502/2730 is 0.4180167980612245
+fom density  1503/2730 is 0.4280889628571429
+fom density  1504/2730 is 0.4317811926020408
+fom density  1505/2730 is 0.4353436714795918
+fom density  1506/2730 is 0.44315773040816325
+fom density  1507/2730 is 0.4515652513265306
+fom density  1508/2730 is 0.461160059744898
+fom density  1509/2730 is 0.4695709458163265
+fom density  1510/2730 is 0.47646466525510206
+fom density  1511/2730 is 0.4826661781632653
+fom density  1512/2730 is 0.487658349132653
+fom density  1513/2730 is 0.48652409102040817
+fom density  1514/2730 is 0.4913511804081633
+fom density  1515/2730 is 0.4969859602040816
+fom density  1516/2730 is 0.4969859602040816
+fom density  1517/2730 is 0.4969859602040816
+fom density  1518/2730 is 0.4969859602040816
+fom density  1519/2730 is 0.49838528102040813
+fom density  1520/2730 is 0.4994936531122449
+fom density  1521/2730 is 0.49437646785714284
+fom density  1522/2730 is 0.4894433123979592
+fom density  1523/2730 is 0.4846016176530612
+fom density  1524/2730 is 0.47978338346938776
+fom density  1525/2730 is 0.47481167178571426
+fom density  1526/2730 is 0.4704699032653061
+fom density  1527/2730 is 0.46614645102040814
+fom density  1528/2730 is 0.46053229841836735
+fom density  1529/2730 is 0.4547891250510204
+fom density  1530/2730 is 0.4486097898979592
+fom density  1531/2730 is 0.4495836953061224
+fom density  1532/2730 is 0.4555008008163265
+fom density  1533/2730 is 0.4546884342857143
+fom density  1534/2730 is 0.45496557683673466
+fom density  1535/2730 is 0.4542099795408163
+fom density  1536/2730 is 0.4547618465306122
+fom density  1537/2730 is 0.45529027678571427
+fom density  1538/2730 is 0.45522254096938775
+fom density  1539/2730 is 0.45496613780612244
+fom density  1540/2730 is 0.4552442248979592
+fom density  1541/2730 is 0.45436324234693876
+fom density  1542/2730 is 0.448975933877551
+fom density  1543/2730 is 0.45075559811224486
+fom density  1544/2730 is 0.45622898127551015
+fom density  1545/2730 is 0.45818999147959183
+fom density  1546/2730 is 0.4580750918877551
+fom density  1547/2730 is 0.45761332984693875
+fom density  1548/2730 is 0.4578139230612245
+fom density  1549/2730 is 0.4583944520408163
+fom density  1550/2730 is 0.4580240377040816
+fom density  1551/2730 is 0.458208803622449
+fom density  1552/2730 is 0.4578119458163265
+fom density  1553/2730 is 0.45702569964285716
+fom density  1554/2730 is 0.45116099673469384
+fom density  1555/2730 is 0.4504168550510204
+fom density  1556/2730 is 0.45432165617346937
+fom density  1557/2730 is 0.45946453897959183
+fom density  1558/2730 is 0.46421845540816326
+fom density  1559/2730 is 0.4706591797448979
+fom density  1560/2730 is 0.4770909275
+{{ CHECK }} 1560/2730
+fom density  1561/2730 is 0.46435390183673464
+fom density  1562/2730 is 0.45384997183673464
+fom density  1563/2730 is 0.4426783243367347
+fom density  1564/2730 is 0.4356867633163265
+fom density  1565/2730 is 0.42973006872448977
+fom density  1566/2730 is 0.4248100285714286
+fom density  1567/2730 is 0.423580756122449
+fom density  1568/2730 is 0.43288200061224485
+fom density  1569/2730 is 0.43707507739795914
+fom density  1570/2730 is 0.44096451188775504
+fom density  1571/2730 is 0.4480605879591837
+fom density  1572/2730 is 0.4557377682653061
+fom density  1573/2730 is 0.4645698555612245
+fom density  1574/2730 is 0.4724719099489796
+fom density  1575/2730 is 0.4793955164285714
+fom density  1576/2730 is 0.48552464510204074
+fom density  1577/2730 is 0.49058223397959183
+fom density  1578/2730 is 0.48958369867346935
+fom density  1579/2730 is 0.4932716481632653
+fom density  1580/2730 is 0.49758712469387756
+fom density  1581/2730 is 0.4974040998469388
+fom density  1582/2730 is 0.497226275
+fom density  1583/2730 is 0.4970524087244898
+fom density  1584/2730 is 0.49814334132653054
+fom density  1585/2730 is 0.4991251978061224
+fom density  1586/2730 is 0.49471205663265305
+fom density  1587/2730 is 0.49027193596938773
+fom density  1588/2730 is 0.48599097153061227
+fom density  1589/2730 is 0.48170480785714287
+fom density  1590/2730 is 0.4775164301020408
+fom density  1591/2730 is 0.4738145520918367
+fom density  1592/2730 is 0.4700623642346939
+fom density  1593/2730 is 0.46520909183673465
+fom density  1594/2730 is 0.46022428943877547
+fom density  1595/2730 is 0.4547488334183673
+fom density  1596/2730 is 0.4554934533163265
+fom density  1597/2730 is 0.46086534438775506
+fom density  1598/2730 is 0.4602966320918367
+fom density  1599/2730 is 0.46040944229591835
+fom density  1600/2730 is 0.4597581725
+fom density  1601/2730 is 0.46023261040816327
+fom density  1602/2730 is 0.4608034147448979
+fom density  1603/2730 is 0.4608017475510204
+fom density  1604/2730 is 0.46049936999999996
+fom density  1605/2730 is 0.46068659056122446
+fom density  1606/2730 is 0.4598601790306122
+fom density  1607/2730 is 0.45509156224489794
+fom density  1608/2730 is 0.4564966083673469
+fom density  1609/2730 is 0.4614751879081633
+fom density  1610/2730 is 0.4632860831632653
+fom density  1611/2730 is 0.46311584198979594
+fom density  1612/2730 is 0.4627041291836735
+fom density  1613/2730 is 0.4628808107142857
+fom density  1614/2730 is 0.4634717869387755
+fom density  1615/2730 is 0.4632122503061224
+fom density  1616/2730 is 0.46331999923469386
+fom density  1617/2730 is 0.4628695620918367
+fom density  1618/2730 is 0.462145654132653
+fom density  1619/2730 is 0.4569909860714285
+fom density  1620/2730 is 0.45620704367346937
+fom density  1621/2730 is 0.45978774979591835
+fom density  1622/2730 is 0.46444476974489796
+fom density  1623/2730 is 0.46851753091836734
+fom density  1624/2730 is 0.47516736122448977
+fom density  1625/2730 is 0.48182595056122446
+{{ CHECK }} 1625/2730
+fom density  1626/2730 is 0.46869364474489794
+fom density  1627/2730 is 0.45905126857142853
+fom density  1628/2730 is 0.44864396724489797
+fom density  1629/2730 is 0.4422564690306122
+fom density  1630/2730 is 0.43636564198979594
+fom density  1631/2730 is 0.43157288862244897
+fom density  1632/2730 is 0.4299315770408163
+fom density  1633/2730 is 0.43825291494897956
+fom density  1634/2730 is 0.44238919234693874
+fom density  1635/2730 is 0.4461501496428571
+fom density  1636/2730 is 0.45239823622448977
+fom density  1637/2730 is 0.45908905719387755
+fom density  1638/2730 is 0.4669953497448979
+fom density  1639/2730 is 0.47397387255102036
+fom density  1640/2730 is 0.4803393727040816
+fom density  1641/2730 is 0.4858481811734694
+fom density  1642/2730 is 0.49039076642857143
+fom density  1643/2730 is 0.48892771295918364
+fom density  1644/2730 is 0.4912841091326531
+fom density  1645/2730 is 0.49412011979591836
+fom density  1646/2730 is 0.49336507147959185
+fom density  1647/2730 is 0.4926626182653061
+fom density  1648/2730 is 0.4917569605612245
+fom density  1649/2730 is 0.49263021051020406
+fom density  1650/2730 is 0.494104669744898
+fom density  1651/2730 is 0.49045343969387756
+fom density  1652/2730 is 0.4866736043367347
+fom density  1653/2730 is 0.48292261612244897
+fom density  1654/2730 is 0.4793516349489796
+fom density  1655/2730 is 0.4757142107653061
+fom density  1656/2730 is 0.472491568877551
+fom density  1657/2730 is 0.46925668821428573
+fom density  1658/2730 is 0.46519541612244897
+fom density  1659/2730 is 0.4606921944897959
+fom density  1660/2730 is 0.455287849132653
+fom density  1661/2730 is 0.4558179358163265
+fom density  1662/2730 is 0.4610976658163265
+fom density  1663/2730 is 0.4607796237244898
+fom density  1664/2730 is 0.4607868030612245
+fom density  1665/2730 is 0.460413565255102
+fom density  1666/2730 is 0.46105558535714286
+fom density  1667/2730 is 0.46149651984693874
+fom density  1668/2730 is 0.4613621094387755
+fom density  1669/2730 is 0.46088247622448975
+fom density  1670/2730 is 0.4610063107653061
+fom density  1671/2730 is 0.4603062390816326
+fom density  1672/2730 is 0.4556032982142857
+fom density  1673/2730 is 0.4567721425
+fom density  1674/2730 is 0.46170266285714284
+fom density  1675/2730 is 0.4636598608163265
+fom density  1676/2730 is 0.4635504805612245
+fom density  1677/2730 is 0.46329517341836735
+fom density  1678/2730 is 0.4637054223469388
+fom density  1679/2730 is 0.464247366122449
+fom density  1680/2730 is 0.46389551918367344
+fom density  1681/2730 is 0.4637009429591837
+fom density  1682/2730 is 0.4632599421428571
+fom density  1683/2730 is 0.4625873634693877
+fom density  1684/2730 is 0.45751762479591834
+fom density  1685/2730 is 0.4565639325
+fom density  1686/2730 is 0.4600089828571428
+fom density  1687/2730 is 0.46464678816326527
+fom density  1688/2730 is 0.46773502290816327
+fom density  1689/2730 is 0.47332714066326526
+fom density  1690/2730 is 0.4787295066836734
+{{ CHECK }} 1690/2730
+fom density  1691/2730 is 0.47103770785714283
+fom density  1692/2730 is 0.4630440078061224
+fom density  1693/2730 is 0.45419955755102037
+fom density  1694/2730 is 0.44820661785714283
+fom density  1695/2730 is 0.4422783603061224
+fom density  1696/2730 is 0.4375773742346939
+fom density  1697/2730 is 0.43581872954081635
+fom density  1698/2730 is 0.44333316678571427
+fom density  1699/2730 is 0.4473098161734693
+fom density  1700/2730 is 0.4508212866836735
+fom density  1701/2730 is 0.45624665551020405
+fom density  1702/2730 is 0.46204218015306125
+fom density  1703/2730 is 0.46913517413265304
+fom density  1704/2730 is 0.47494835469387753
+fom density  1705/2730 is 0.4809045581632653
+fom density  1706/2730 is 0.4859148904081632
+fom density  1707/2730 is 0.49008909311224486
+fom density  1708/2730 is 0.48823643357142854
+fom density  1709/2730 is 0.489499673877551
+fom density  1710/2730 is 0.4908983255612245
+fom density  1711/2730 is 0.4895380200510204
+fom density  1712/2730 is 0.48823831668367346
+fom density  1713/2730 is 0.4865554615306122
+fom density  1714/2730 is 0.4873872347959184
+fom density  1715/2730 is 0.48930907928571427
+fom density  1716/2730 is 0.4859264337244898
+fom density  1717/2730 is 0.48239872336734696
+fom density  1718/2730 is 0.47900496428571426
+fom density  1719/2730 is 0.47599577066326526
+fom density  1720/2730 is 0.473228411377551
+fom density  1721/2730 is 0.4707051219387755
+fom density  1722/2730 is 0.46821463821428566
+fom density  1723/2730 is 0.46504103653061224
+fom density  1724/2730 is 0.4608963976530612
+fom density  1725/2730 is 0.4554880012244898
+fom density  1726/2730 is 0.45623964413265305
+fom density  1727/2730 is 0.4615935431122449
+fom density  1728/2730 is 0.4612348998469387
+fom density  1729/2730 is 0.4610510590306122
+fom density  1730/2730 is 0.4605822003571428
+fom density  1731/2730 is 0.46115685479591834
+fom density  1732/2730 is 0.46152234086734695
+fom density  1733/2730 is 0.4613565824489796
+fom density  1734/2730 is 0.4610496098979592
+fom density  1735/2730 is 0.4612823994897959
+fom density  1736/2730 is 0.4605629348469387
+fom density  1737/2730 is 0.45581786051020406
+fom density  1738/2730 is 0.4571199018367347
+fom density  1739/2730 is 0.46216940933673467
+fom density  1740/2730 is 0.46407821413265304
+fom density  1741/2730 is 0.46382007612244897
+fom density  1742/2730 is 0.46344547418367343
+fom density  1743/2730 is 0.46380934357142856
+fom density  1744/2730 is 0.46430447918367346
+fom density  1745/2730 is 0.4639315921428571
+fom density  1746/2730 is 0.4638075140306122
+fom density  1747/2730 is 0.46355073785714285
+fom density  1748/2730 is 0.46280781979591834
+fom density  1749/2730 is 0.45767995903061226
+fom density  1750/2730 is 0.45690671714285713
+fom density  1751/2730 is 0.4604737956632653
+fom density  1752/2730 is 0.46515919739795913
+fom density  1753/2730 is 0.46821468673469385
+fom density  1754/2730 is 0.47380952698979595
+fom density  1755/2730 is 0.47931369801020407
+{{ CHECK }} 1755/2730
+fom density  1756/2730 is 0.4706407933163265
+fom density  1757/2730 is 0.4629238196428571
+fom density  1758/2730 is 0.45427924775510203
+fom density  1759/2730 is 0.44844112158163263
+fom density  1760/2730 is 0.4424789309183673
+fom density  1761/2730 is 0.43772243775510206
+fom density  1762/2730 is 0.4364385594387755
+fom density  1763/2730 is 0.4438824003571428
+fom density  1764/2730 is 0.44862627852040815
+fom density  1765/2730 is 0.45265918739795913
+fom density  1766/2730 is 0.4579656302040816
+fom density  1767/2730 is 0.4635198122959184
+fom density  1768/2730 is 0.4704374551020408
+fom density  1769/2730 is 0.4753073061734694
+fom density  1770/2730 is 0.4804949906122449
+fom density  1771/2730 is 0.4846780638265306
+fom density  1772/2730 is 0.4879997515306122
+fom density  1773/2730 is 0.48527177275510197
+fom density  1774/2730 is 0.484897305255102
+fom density  1775/2730 is 0.4848857437244898
+fom density  1776/2730 is 0.4829797543367347
+fom density  1777/2730 is 0.48106650535714285
+fom density  1778/2730 is 0.4786369307142857
+fom density  1779/2730 is 0.47994069545918366
+fom density  1780/2730 is 0.4826645127040816
+fom density  1781/2730 is 0.480118970510204
+fom density  1782/2730 is 0.47746359724489795
+fom density  1783/2730 is 0.47490485897959184
+fom density  1784/2730 is 0.4729261051020408
+fom density  1785/2730 is 0.4709325387244898
+fom density  1786/2730 is 0.4688157601530612
+fom density  1787/2730 is 0.4670308020408163
+fom density  1788/2730 is 0.46465590295918363
+fom density  1789/2730 is 0.46086491954081626
+fom density  1790/2730 is 0.4554512576530612
+fom density  1791/2730 is 0.45626426704081635
+fom density  1792/2730 is 0.4615276310714285
+fom density  1793/2730 is 0.4611969763265306
+fom density  1794/2730 is 0.4610231240306122
+fom density  1795/2730 is 0.46058212280612243
+fom density  1796/2730 is 0.46130719025510203
+fom density  1797/2730 is 0.46156682112244896
+fom density  1798/2730 is 0.4612388699489796
+fom density  1799/2730 is 0.46100715484693877
+fom density  1800/2730 is 0.4612844065306122
+fom density  1801/2730 is 0.46055407897959183
+fom density  1802/2730 is 0.45580024693877547
+fom density  1803/2730 is 0.45712169484693876
+fom density  1804/2730 is 0.46215614362244894
+fom density  1805/2730 is 0.46403351897959183
+fom density  1806/2730 is 0.4638115369387755
+fom density  1807/2730 is 0.4634330176020408
+fom density  1808/2730 is 0.46390149096938776
+fom density  1809/2730 is 0.46433506709183675
+fom density  1810/2730 is 0.4638355910714286
+fom density  1811/2730 is 0.4637461654081632
+fom density  1812/2730 is 0.4635497475510204
+fom density  1813/2730 is 0.46279347010204075
+fom density  1814/2730 is 0.45761302673469384
+fom density  1815/2730 is 0.4569173114285714
+fom density  1816/2730 is 0.4604369939795918
+fom density  1817/2730 is 0.4651401883163265
+fom density  1818/2730 is 0.4682012833163265
+fom density  1819/2730 is 0.4737352524999999
+fom density  1820/2730 is 0.4791406367857143
+{{ CHECK }} 1820/2730
+fom density  1821/2730 is 0.4702825978061224
+fom density  1822/2730 is 0.46202577275510204
+fom density  1823/2730 is 0.45293269852040813
+fom density  1824/2730 is 0.4474656251530612
+fom density  1825/2730 is 0.4414577662755102
+fom density  1826/2730 is 0.43671795224489796
+fom density  1827/2730 is 0.43587493280612244
+fom density  1828/2730 is 0.4435358323979592
+fom density  1829/2730 is 0.4497800015306122
+fom density  1830/2730 is 0.45491278918367345
+fom density  1831/2730 is 0.46024258433673465
+fom density  1832/2730 is 0.465723528877551
+fom density  1833/2730 is 0.4725475522959184
+fom density  1834/2730 is 0.4765067893367347
+fom density  1835/2730 is 0.4809647902040816
+fom density  1836/2730 is 0.48424391183673465
+fom density  1837/2730 is 0.48665749816326526
+fom density  1838/2730 is 0.4831037162755102
+fom density  1839/2730 is 0.4808233099489796
+fom density  1840/2730 is 0.4790676276530612
+fom density  1841/2730 is 0.4765604394387755
+fom density  1842/2730 is 0.47399390382653056
+fom density  1843/2730 is 0.47076237479591837
+fom density  1844/2730 is 0.47262605341836733
+fom density  1845/2730 is 0.4761246797959184
+fom density  1846/2730 is 0.47434030336734695
+fom density  1847/2730 is 0.47262222545918364
+fom density  1848/2730 is 0.47078861938775507
+fom density  1849/2730 is 0.469549211632653
+fom density  1850/2730 is 0.4683472539285714
+fom density  1851/2730 is 0.46685226785714284
+fom density  1852/2730 is 0.46581150913265307
+fom density  1853/2730 is 0.4642553275
+fom density  1854/2730 is 0.4607847094897959
+fom density  1855/2730 is 0.4552675902040816
+fom density  1856/2730 is 0.4561447061734694
+fom density  1857/2730 is 0.4612801564285714
+fom density  1858/2730 is 0.46087488035714286
+fom density  1859/2730 is 0.46093994418367346
+fom density  1860/2730 is 0.46036201469387755
+fom density  1861/2730 is 0.4610193828571429
+fom density  1862/2730 is 0.4612356965816326
+fom density  1863/2730 is 0.4608874721938775
+fom density  1864/2730 is 0.4608309840816326
+fom density  1865/2730 is 0.4612580078061224
+fom density  1866/2730 is 0.4604688913265306
+fom density  1867/2730 is 0.4556127119387755
+fom density  1868/2730 is 0.4570587244387755
+fom density  1869/2730 is 0.46191017306122445
+fom density  1870/2730 is 0.4637750382653061
+fom density  1871/2730 is 0.4636910586224489
+fom density  1872/2730 is 0.4632030862244898
+fom density  1873/2730 is 0.46361477790816324
+fom density  1874/2730 is 0.4640090455612245
+fom density  1875/2730 is 0.4634351194897959
+fom density  1876/2730 is 0.4635730243877551
+fom density  1877/2730 is 0.46354851459183666
+fom density  1878/2730 is 0.46272713596938775
+fom density  1879/2730 is 0.45744617632653056
+fom density  1880/2730 is 0.45678941540816326
+fom density  1881/2730 is 0.46021820117346934
+fom density  1882/2730 is 0.46498325295918363
+fom density  1883/2730 is 0.46812810673469385
+fom density  1884/2730 is 0.4735772520918367
+fom density  1885/2730 is 0.4790154655102041
+{{ CHECK }} 1885/2730
+fom density  1886/2730 is 0.4697853316836734
+fom density  1887/2730 is 0.4616681080102041
+fom density  1888/2730 is 0.4527095868367347
+fom density  1889/2730 is 0.4469339017857143
+fom density  1890/2730 is 0.44089910204081634
+fom density  1891/2730 is 0.43618093306122446
+fom density  1892/2730 is 0.43574638239795915
+fom density  1893/2730 is 0.44371475280612244
+fom density  1894/2730 is 0.4509937690306122
+fom density  1895/2730 is 0.4571435289285714
+fom density  1896/2730 is 0.4624760056632653
+fom density  1897/2730 is 0.46780146663265304
+fom density  1898/2730 is 0.47438685969387756
+fom density  1899/2730 is 0.4775439222959183
+fom density  1900/2730 is 0.48116846632653054
+fom density  1901/2730 is 0.4835235859693877
+fom density  1902/2730 is 0.48490541913265306
+fom density  1903/2730 is 0.4806457169387755
+fom density  1904/2730 is 0.4767864025
+fom density  1905/2730 is 0.4732075511734694
+fom density  1906/2730 is 0.47007954867346935
+fom density  1907/2730 is 0.46693181127551014
+fom density  1908/2730 is 0.4628453151530612
+fom density  1909/2730 is 0.46518380321428565
+fom density  1910/2730 is 0.46954294270408165
+fom density  1911/2730 is 0.4686650615816326
+fom density  1912/2730 is 0.46789721316326527
+fom density  1913/2730 is 0.4666714879591836
+fom density  1914/2730 is 0.46600448719387755
+fom density  1915/2730 is 0.46570303959183673
+fom density  1916/2730 is 0.4648982755102041
+fom density  1917/2730 is 0.464434067755102
+fom density  1918/2730 is 0.4637205045918367
+fom density  1919/2730 is 0.4606434302040816
+fom density  1920/2730 is 0.45504244862244897
+fom density  1921/2730 is 0.4559479957653061
+fom density  1922/2730 is 0.4610484644897959
+fom density  1923/2730 is 0.46070874352040814
+fom density  1924/2730 is 0.4610957806632653
+fom density  1925/2730 is 0.4602538920918367
+fom density  1926/2730 is 0.46065618265306124
+fom density  1927/2730 is 0.46099311765306117
+fom density  1928/2730 is 0.46069830596938777
+fom density  1929/2730 is 0.46065140377551017
+fom density  1930/2730 is 0.4612046809693877
+fom density  1931/2730 is 0.46035006663265304
+fom density  1932/2730 is 0.45538243673469386
+fom density  1933/2730 is 0.45688021306122445
+fom density  1934/2730 is 0.46162404530612244
+fom density  1935/2730 is 0.4636277432142857
+fom density  1936/2730 is 0.46378023301020405
+fom density  1937/2730 is 0.4630794660204081
+fom density  1938/2730 is 0.4632791583673469
+fom density  1939/2730 is 0.463725213877551
+fom density  1940/2730 is 0.46316990556122445
+fom density  1941/2730 is 0.4633844560204082
+fom density  1942/2730 is 0.4634830459693877
+fom density  1943/2730 is 0.4625884208673469
+fom density  1944/2730 is 0.45721658785714286
+fom density  1945/2730 is 0.45660157602040813
+fom density  1946/2730 is 0.45997956224489794
+fom density  1947/2730 is 0.4648414381632653
+fom density  1948/2730 is 0.46820272005102037
+fom density  1949/2730 is 0.47357034653061225
+fom density  1950/2730 is 0.4789406634183673
+{{ CHECK }} 1950/2730
+fom density  1951/2730 is 0.4675763082142857
+fom density  1952/2730 is 0.46040396290816327
+fom density  1953/2730 is 0.4525948393877551
+fom density  1954/2730 is 0.44663290224489793
+fom density  1955/2730 is 0.4406201404081633
+fom density  1956/2730 is 0.43598981403061227
+fom density  1957/2730 is 0.43616162163265304
+fom density  1958/2730 is 0.44425582668367347
+fom density  1959/2730 is 0.4522311693367347
+fom density  1960/2730 is 0.4588199169897959
+fom density  1961/2730 is 0.4640780407142857
+fom density  1962/2730 is 0.4694485762755102
+fom density  1963/2730 is 0.47589696249999996
+fom density  1964/2730 is 0.4784685727040816
+fom density  1965/2730 is 0.48151250454081634
+fom density  1966/2730 is 0.4832088226530612
+fom density  1967/2730 is 0.4837634963265306
+fom density  1968/2730 is 0.4788417395408163
+fom density  1969/2730 is 0.47371396112244896
+fom density  1970/2730 is 0.4689214558673469
+fom density  1971/2730 is 0.46536361724489794
+fom density  1972/2730 is 0.46188289897959184
+fom density  1973/2730 is 0.4572451710714286
+fom density  1974/2730 is 0.45983906163265303
+fom density  1975/2730 is 0.4647576820408163
+fom density  1976/2730 is 0.464293756377551
+fom density  1977/2730 is 0.46406554938775507
+fom density  1978/2730 is 0.4634473833163265
+fom density  1979/2730 is 0.46334125071428567
+fom density  1980/2730 is 0.46366163846938774
+fom density  1981/2730 is 0.46324283663265303
+fom density  1982/2730 is 0.4628870136734694
+fom density  1983/2730 is 0.46259340408163263
+fom density  1984/2730 is 0.45981582984693875
+fom density  1985/2730 is 0.45421070489795917
+fom density  1986/2730 is 0.45519295280612243
+fom density  1987/2730 is 0.46032190142857143
+fom density  1988/2730 is 0.45986148454081627
+fom density  1989/2730 is 0.4603763010204081
+fom density  1990/2730 is 0.45956083433673467
+fom density  1991/2730 is 0.4599086438265306
+fom density  1992/2730 is 0.46037563244897955
+fom density  1993/2730 is 0.46018908352040816
+fom density  1994/2730 is 0.4599526113265306
+fom density  1995/2730 is 0.46032292346938775
+fom density  1996/2730 is 0.4595141781122449
+fom density  1997/2730 is 0.45449696714285714
+fom density  1998/2730 is 0.45616357566326526
+fom density  1999/2730 is 0.46088267020408163
+fom density  2000/2730 is 0.46280649744897956
+fom density  2001/2730 is 0.46306064530612245
+fom density  2002/2730 is 0.46236700178571427
+fom density  2003/2730 is 0.4625370377040816
+fom density  2004/2730 is 0.46308833551020406
+fom density  2005/2730 is 0.4626739831632653
+fom density  2006/2730 is 0.4627487947959183
+fom density  2007/2730 is 0.4626572920918367
+fom density  2008/2730 is 0.46177099469387756
+fom density  2009/2730 is 0.4563870220918367
+fom density  2010/2730 is 0.45585620734693877
+fom density  2011/2730 is 0.4592308904591837
+fom density  2012/2730 is 0.46418018535714284
+fom density  2013/2730 is 0.467594139132653
+fom density  2014/2730 is 0.47290110653061224
+fom density  2015/2730 is 0.47787434607142854
+{{ CHECK }} 2015/2730
+fom density  2016/2730 is 0.4671063431122449
+fom density  2017/2730 is 0.45980718520408165
+fom density  2018/2730 is 0.45180498959183674
+fom density  2019/2730 is 0.44594434020408164
+fom density  2020/2730 is 0.43988046270408165
+fom density  2021/2730 is 0.4352983792857143
+fom density  2022/2730 is 0.43618520454081633
+fom density  2023/2730 is 0.44449783989795916
+fom density  2024/2730 is 0.4525750243367347
+fom density  2025/2730 is 0.4592125946428571
+fom density  2026/2730 is 0.4643366659693877
+fom density  2027/2730 is 0.46972157224489797
+fom density  2028/2730 is 0.4762680686734693
+fom density  2029/2730 is 0.47845460785714283
+fom density  2030/2730 is 0.48112048362244897
+fom density  2031/2730 is 0.4824318957653061
+fom density  2032/2730 is 0.4822449370408163
+fom density  2033/2730 is 0.4769441094897959
+fom density  2034/2730 is 0.4714209084693878
+fom density  2035/2730 is 0.46626084443877547
+fom density  2036/2730 is 0.4625464897959184
+fom density  2037/2730 is 0.4589798826530612
+fom density  2038/2730 is 0.45405220224489795
+fom density  2039/2730 is 0.456782391377551
+fom density  2040/2730 is 0.46212970413265303
+fom density  2041/2730 is 0.4618312676530612
+fom density  2042/2730 is 0.46187100826530614
+fom density  2043/2730 is 0.4615254279591836
+fom density  2044/2730 is 0.4616329556632653
+fom density  2045/2730 is 0.4620870464285714
+fom density  2046/2730 is 0.46181588051020406
+fom density  2047/2730 is 0.4615636548469388
+fom density  2048/2730 is 0.4614743106632653
+fom density  2049/2730 is 0.45892108525510206
+fom density  2050/2730 is 0.45324470270408157
+fom density  2051/2730 is 0.45425796392857143
+fom density  2052/2730 is 0.4595494815306122
+fom density  2053/2730 is 0.45898574413265303
+fom density  2054/2730 is 0.4595455726530612
+fom density  2055/2730 is 0.4588702326020408
+fom density  2056/2730 is 0.45909528744897954
+fom density  2057/2730 is 0.4593214921938775
+fom density  2058/2730 is 0.45916544479591836
+fom density  2059/2730 is 0.4589163619897959
+fom density  2060/2730 is 0.45925168801020405
+fom density  2061/2730 is 0.4585878597448979
+fom density  2062/2730 is 0.4535313473469388
+fom density  2063/2730 is 0.4553184325510204
+fom density  2064/2730 is 0.4601742773469388
+fom density  2065/2730 is 0.4620224901530612
+fom density  2066/2730 is 0.46232038056122443
+fom density  2067/2730 is 0.46181962168367346
+fom density  2068/2730 is 0.4618792704081633
+fom density  2069/2730 is 0.4621781537755102
+fom density  2070/2730 is 0.4617601037244898
+fom density  2071/2730 is 0.46182666188775506
+fom density  2072/2730 is 0.46164689372448975
+fom density  2073/2730 is 0.46090366673469385
+fom density  2074/2730 is 0.4554696067346939
+fom density  2075/2730 is 0.45500371188775507
+fom density  2076/2730 is 0.45846628719387755
+fom density  2077/2730 is 0.4634457729081632
+fom density  2078/2730 is 0.4670252994387755
+fom density  2079/2730 is 0.47280937219387753
+fom density  2080/2730 is 0.4786940719387755
+{{ CHECK }} 2080/2730
+fom density  2081/2730 is 0.4673734055612245
+fom density  2082/2730 is 0.4592482622448979
+fom density  2083/2730 is 0.4512341508163265
+fom density  2084/2730 is 0.44510513729591833
+fom density  2085/2730 is 0.43877287867346937
+fom density  2086/2730 is 0.4338476690306122
+fom density  2087/2730 is 0.4349602483673469
+fom density  2088/2730 is 0.44341730556122444
+fom density  2089/2730 is 0.4516073205612245
+fom density  2090/2730 is 0.45832840780612244
+fom density  2091/2730 is 0.46349685010204084
+fom density  2092/2730 is 0.46881721719387753
+fom density  2093/2730 is 0.47533019933673465
+fom density  2094/2730 is 0.47679187658163263
+fom density  2095/2730 is 0.47877408025510204
+fom density  2096/2730 is 0.47971774045918364
+fom density  2097/2730 is 0.47899289265306116
+fom density  2098/2730 is 0.47287270801020403
+fom density  2099/2730 is 0.466483836122449
+fom density  2100/2730 is 0.46055695265306124
+fom density  2101/2730 is 0.45624488112244893
+fom density  2102/2730 is 0.4521485731122449
+fom density  2103/2730 is 0.44654139249999997
+fom density  2104/2730 is 0.4496944465816326
+fom density  2105/2730 is 0.4559932698979592
+fom density  2106/2730 is 0.45553623392857145
+fom density  2107/2730 is 0.4553793449489796
+fom density  2108/2730 is 0.4550696044387755
+fom density  2109/2730 is 0.4552555599489796
+fom density  2110/2730 is 0.45577350020408164
+fom density  2111/2730 is 0.4555001478061224
+fom density  2112/2730 is 0.4551598024489796
+fom density  2113/2730 is 0.45499673045918365
+fom density  2114/2730 is 0.4520515887244898
+fom density  2115/2730 is 0.445598083877551
+fom density  2116/2730 is 0.44679873540816323
+fom density  2117/2730 is 0.4530152187244898
+fom density  2118/2730 is 0.45231366734693873
+fom density  2119/2730 is 0.4527469834183673
+fom density  2120/2730 is 0.45201645091836734
+fom density  2121/2730 is 0.4523298937755102
+fom density  2122/2730 is 0.45260320285714284
+fom density  2123/2730 is 0.4524305605102041
+fom density  2124/2730 is 0.45215108290816325
+fom density  2125/2730 is 0.452454765255102
+fom density  2126/2730 is 0.45166850729591834
+fom density  2127/2730 is 0.44593613974489793
+fom density  2128/2730 is 0.4479615797959184
+fom density  2129/2730 is 0.45373118010204083
+fom density  2130/2730 is 0.45580048173469384
+fom density  2131/2730 is 0.4559507231122449
+fom density  2132/2730 is 0.4554320037755102
+fom density  2133/2730 is 0.4555263237244898
+fom density  2134/2730 is 0.4558804884183673
+fom density  2135/2730 is 0.4554172983163265
+fom density  2136/2730 is 0.4554950004591836
+fom density  2137/2730 is 0.45519209117346937
+fom density  2138/2730 is 0.4543447924999999
+fom density  2139/2730 is 0.4481643501530612
+fom density  2140/2730 is 0.4476100626530612
+fom density  2141/2730 is 0.45173180234693877
+fom density  2142/2730 is 0.4572999647448979
+fom density  2143/2730 is 0.46177760831632647
+fom density  2144/2730 is 0.4690558621938775
+fom density  2145/2730 is 0.4772490576530612
+{{ CHECK }} 2145/2730
+fom density  2146/2730 is 0.4670765587244898
+fom density  2147/2730 is 0.4590039468877551
+fom density  2148/2730 is 0.45100711153061224
+fom density  2149/2730 is 0.44458870790816324
+fom density  2150/2730 is 0.4381904423979592
+fom density  2151/2730 is 0.4329255892346939
+fom density  2152/2730 is 0.4344954856122449
+fom density  2153/2730 is 0.4430473873979591
+fom density  2154/2730 is 0.4510666932653061
+fom density  2155/2730 is 0.4579903146428571
+fom density  2156/2730 is 0.4633005126530612
+fom density  2157/2730 is 0.4686437418877551
+fom density  2158/2730 is 0.47508345255102036
+fom density  2159/2730 is 0.47570692423469385
+fom density  2160/2730 is 0.47685913510204075
+fom density  2161/2730 is 0.4773104617346939
+fom density  2162/2730 is 0.4757861367346939
+fom density  2163/2730 is 0.46882986515306124
+fom density  2164/2730 is 0.4615765589285714
+fom density  2165/2730 is 0.4548954681632653
+fom density  2166/2730 is 0.4499800646938776
+fom density  2167/2730 is 0.44529268581632653
+fom density  2168/2730 is 0.438872035
+fom density  2169/2730 is 0.4423988112755102
+fom density  2170/2730 is 0.44959363428571425
+fom density  2171/2730 is 0.4491393892346938
+fom density  2172/2730 is 0.4487928392857143
+fom density  2173/2730 is 0.4485009078061224
+fom density  2174/2730 is 0.44877242413265306
+fom density  2175/2730 is 0.44928839882653054
+fom density  2176/2730 is 0.4489865132142857
+fom density  2177/2730 is 0.4486763689285714
+fom density  2178/2730 is 0.44853433418367344
+fom density  2179/2730 is 0.4452165815306122
+fom density  2180/2730 is 0.4378358360204081
+fom density  2181/2730 is 0.43913108801020406
+fom density  2182/2730 is 0.44623763642857145
+fom density  2183/2730 is 0.4454567074489796
+fom density  2184/2730 is 0.4458203587244898
+fom density  2185/2730 is 0.4450658979591836
+fom density  2186/2730 is 0.4454908307142857
+fom density  2187/2730 is 0.4457234407653061
+fom density  2188/2730 is 0.44555676801020405
+fom density  2189/2730 is 0.4452713781632653
+fom density  2190/2730 is 0.44567402403061224
+fom density  2191/2730 is 0.4447875044387755
+fom density  2192/2730 is 0.4382392331122449
+fom density  2193/2730 is 0.440448483877551
+fom density  2194/2730 is 0.44706662249999995
+fom density  2195/2730 is 0.44942282464285715
+fom density  2196/2730 is 0.4494595884693877
+fom density  2197/2730 is 0.44894456015306117
+fom density  2198/2730 is 0.44906710841836733
+fom density  2199/2730 is 0.44940367301020406
+fom density  2200/2730 is 0.448912516632653
+fom density  2201/2730 is 0.44902061862244896
+fom density  2202/2730 is 0.44873019872448977
+fom density  2203/2730 is 0.4478160612244898
+fom density  2204/2730 is 0.4407604152040816
+fom density  2205/2730 is 0.4400195046938775
+fom density  2206/2730 is 0.4447750971938775
+fom density  2207/2730 is 0.45094113739795916
+fom density  2208/2730 is 0.4561027904081632
+fom density  2209/2730 is 0.4639968576020408
+fom density  2210/2730 is 0.47284736464285715
+{{ CHECK }} 2210/2730
+fom density  2211/2730 is 0.4658757169897959
+fom density  2212/2730 is 0.4585524896428571
+fom density  2213/2730 is 0.45108319545918363
+fom density  2214/2730 is 0.4442281778571428
+fom density  2215/2730 is 0.4379802073469387
+fom density  2216/2730 is 0.4326496393367347
+fom density  2217/2730 is 0.4345952763265306
+fom density  2218/2730 is 0.44335373622448976
+fom density  2219/2730 is 0.4512575675
+fom density  2220/2730 is 0.4582598714795918
+fom density  2221/2730 is 0.46357116607142856
+fom density  2222/2730 is 0.46885605994897955
+fom density  2223/2730 is 0.47537602974489795
+fom density  2224/2730 is 0.47544775852040816
+fom density  2225/2730 is 0.4758604159183673
+fom density  2226/2730 is 0.47584134418367346
+fom density  2227/2730 is 0.4737061882653061
+fom density  2228/2730 is 0.46616330658163263
+fom density  2229/2730 is 0.45820428520408163
+fom density  2230/2730 is 0.45101537428571425
+fom density  2231/2730 is 0.4456715798469387
+fom density  2232/2730 is 0.4406170395918367
+fom density  2233/2730 is 0.43365508739795916
+fom density  2234/2730 is 0.4373597486224489
+fom density  2235/2730 is 0.4451448521428571
+fom density  2236/2730 is 0.4446455778571428
+fom density  2237/2730 is 0.44418217862244896
+fom density  2238/2730 is 0.44390094515306117
+fom density  2239/2730 is 0.44437683204081635
+fom density  2240/2730 is 0.44492129913265305
+fom density  2241/2730 is 0.4445789325510204
+fom density  2242/2730 is 0.44425673316326525
+fom density  2243/2730 is 0.44404817617346937
+fom density  2244/2730 is 0.4404803626020408
+fom density  2245/2730 is 0.43245645602040816
+fom density  2246/2730 is 0.4337475247959183
+fom density  2247/2730 is 0.44143643719387754
+fom density  2248/2730 is 0.4406022919897959
+fom density  2249/2730 is 0.4408735412755102
+fom density  2250/2730 is 0.44008513
+fom density  2251/2730 is 0.44070310520408157
+fom density  2252/2730 is 0.44099637862244895
+fom density  2253/2730 is 0.4407711183163265
+fom density  2254/2730 is 0.4404689090306122
+fom density  2255/2730 is 0.44090580801020407
+fom density  2256/2730 is 0.4399556207142857
+fom density  2257/2730 is 0.4329275582142857
+fom density  2258/2730 is 0.4351944790306122
+fom density  2259/2730 is 0.44240636423469387
+fom density  2260/2730 is 0.44499778852040817
+fom density  2261/2730 is 0.4449353389285714
+fom density  2262/2730 is 0.4444052176530612
+fom density  2263/2730 is 0.4446867326530612
+fom density  2264/2730 is 0.44510259943877545
+fom density  2265/2730 is 0.444514228877551
+fom density  2266/2730 is 0.44464761387755103
+fom density  2267/2730 is 0.444301388877551
+fom density  2268/2730 is 0.4433393702040816
+fom density  2269/2730 is 0.4356824442857143
+fom density  2270/2730 is 0.43476954683673463
+fom density  2271/2730 is 0.43990018224489796
+fom density  2272/2730 is 0.44639986852040814
+fom density  2273/2730 is 0.4523716855612245
+fom density  2274/2730 is 0.4609249801020408
+fom density  2275/2730 is 0.4703109837244898
+{{ CHECK }} 2275/2730
+fom density  2276/2730 is 0.4677167808673469
+fom density  2277/2730 is 0.45922200239795913
+fom density  2278/2730 is 0.450596878877551
+fom density  2279/2730 is 0.44340744775510205
+fom density  2280/2730 is 0.4373651447448979
+fom density  2281/2730 is 0.4319953180612245
+fom density  2282/2730 is 0.43445781887755097
+fom density  2283/2730 is 0.44344571311224484
+fom density  2284/2730 is 0.45130474693877554
+fom density  2285/2730 is 0.45842647367346934
+fom density  2286/2730 is 0.46379592632653055
+fom density  2287/2730 is 0.4692770396938776
+fom density  2288/2730 is 0.4758907620918367
+fom density  2289/2730 is 0.4758501050510204
+fom density  2290/2730 is 0.47625548724489797
+fom density  2291/2730 is 0.47647585239795914
+fom density  2292/2730 is 0.4744385144387755
+fom density  2293/2730 is 0.4671829175
+fom density  2294/2730 is 0.4593742526020408
+fom density  2295/2730 is 0.4522836443877551
+fom density  2296/2730 is 0.44705343061224484
+fom density  2297/2730 is 0.44200462612244895
+fom density  2298/2730 is 0.43523700301020407
+fom density  2299/2730 is 0.4389825081122449
+fom density  2300/2730 is 0.44656885535714286
+fom density  2301/2730 is 0.4460263607653061
+fom density  2302/2730 is 0.44541567413265304
+fom density  2303/2730 is 0.44504333357142856
+fom density  2304/2730 is 0.44561192147959183
+fom density  2305/2730 is 0.44637282311224485
+fom density  2306/2730 is 0.4459961295918367
+fom density  2307/2730 is 0.4456885231122449
+fom density  2308/2730 is 0.44544593887755096
+fom density  2309/2730 is 0.4418679770408163
+fom density  2310/2730 is 0.43408179397959185
+fom density  2311/2730 is 0.43545760897959185
+fom density  2312/2730 is 0.4429993165306122
+fom density  2313/2730 is 0.4421343921428571
+fom density  2314/2730 is 0.44230939035714284
+fom density  2315/2730 is 0.4413901339795918
+fom density  2316/2730 is 0.44210696112244896
+fom density  2317/2730 is 0.4426191964795918
+fom density  2318/2730 is 0.4423803748979591
+fom density  2319/2730 is 0.44211248938775505
+fom density  2320/2730 is 0.4425125994897959
+fom density  2321/2730 is 0.44142083392857145
+fom density  2322/2730 is 0.43456432744897955
+fom density  2323/2730 is 0.43686105178571427
+fom density  2324/2730 is 0.4439261305612245
+fom density  2325/2730 is 0.44637127280612243
+fom density  2326/2730 is 0.44618694290816324
+fom density  2327/2730 is 0.4455153333163265
+fom density  2328/2730 is 0.4458532432142857
+fom density  2329/2730 is 0.44650001520408167
+fom density  2330/2730 is 0.4459028522959183
+fom density  2331/2730 is 0.4461140618367347
+fom density  2332/2730 is 0.4457170396938775
+fom density  2333/2730 is 0.44466764107142853
+fom density  2334/2730 is 0.4371926698469388
+fom density  2335/2730 is 0.4364301827040816
+fom density  2336/2730 is 0.441504592755102
+fom density  2337/2730 is 0.44790647673469386
+fom density  2338/2730 is 0.45385384862244893
+fom density  2339/2730 is 0.46159021576530607
+fom density  2340/2730 is 0.47032991612244895
+{{ CHECK }} 2340/2730
+fom density  2341/2730 is 0.4683494631632653
+fom density  2342/2730 is 0.45945313459183673
+fom density  2343/2730 is 0.4515277819897959
+fom density  2344/2730 is 0.44398579423469386
+fom density  2345/2730 is 0.438128051632653
+fom density  2346/2730 is 0.4329220769387755
+fom density  2347/2730 is 0.4357012229081632
+fom density  2348/2730 is 0.4446757526020408
+fom density  2349/2730 is 0.45230667091836735
+fom density  2350/2730 is 0.4594315837755102
+fom density  2351/2730 is 0.46473168867346937
+fom density  2352/2730 is 0.4702238544897959
+fom density  2353/2730 is 0.47671937423469385
+fom density  2354/2730 is 0.4773058497959184
+fom density  2355/2730 is 0.4784121841326531
+fom density  2356/2730 is 0.4794720731632653
+fom density  2357/2730 is 0.47796248035714284
+fom density  2358/2730 is 0.47157304056122445
+fom density  2359/2730 is 0.46457034653061224
+fom density  2360/2730 is 0.4582759609693878
+fom density  2361/2730 is 0.4536510043877551
+fom density  2362/2730 is 0.4491994500510204
+fom density  2363/2730 is 0.44320902438775506
+fom density  2364/2730 is 0.446434851377551
+fom density  2365/2730 is 0.45307323423469387
+fom density  2366/2730 is 0.45262758658163266
+fom density  2367/2730 is 0.45214531352040815
+fom density  2368/2730 is 0.4518341167857143
+fom density  2369/2730 is 0.45243460397959184
+fom density  2370/2730 is 0.45314786974489796
+fom density  2371/2730 is 0.45274385428571423
+fom density  2372/2730 is 0.45244826413265304
+fom density  2373/2730 is 0.4522067015816326
+fom density  2374/2730 is 0.4490672018367347
+fom density  2375/2730 is 0.4421858937244898
+fom density  2376/2730 is 0.4432730895408163
+fom density  2377/2730 is 0.4498982733673469
+fom density  2378/2730 is 0.44909090183673467
+fom density  2379/2730 is 0.44930830515306125
+fom density  2380/2730 is 0.44851821224489796
+fom density  2381/2730 is 0.4492880654081633
+fom density  2382/2730 is 0.4497766203061224
+fom density  2383/2730 is 0.4495111409693877
+fom density  2384/2730 is 0.4492376036734694
+fom density  2385/2730 is 0.44958441724489795
+fom density  2386/2730 is 0.44863299183673466
+fom density  2387/2730 is 0.44261280545918363
+fom density  2388/2730 is 0.4445787986224489
+fom density  2389/2730 is 0.4507636021428571
+fom density  2390/2730 is 0.45292074658163267
+fom density  2391/2730 is 0.4527897321428571
+fom density  2392/2730 is 0.4522519965816327
+fom density  2393/2730 is 0.4526288073469388
+fom density  2394/2730 is 0.45324391163265304
+fom density  2395/2730 is 0.45263381908163264
+fom density  2396/2730 is 0.45284364760204077
+fom density  2397/2730 is 0.4524242176020408
+fom density  2398/2730 is 0.4515506951020408
+fom density  2399/2730 is 0.4449764439285714
+fom density  2400/2730 is 0.444215445
+fom density  2401/2730 is 0.44860557831632647
+fom density  2402/2730 is 0.45428800224489796
+fom density  2403/2730 is 0.458972875255102
+fom density  2404/2730 is 0.4663747280612245
+fom density  2405/2730 is 0.47524716005102036
+{{ CHECK }} 2405/2730
+fom density  2406/2730 is 0.47215570158163267
+fom density  2407/2730 is 0.4638914508163265
+fom density  2408/2730 is 0.45664122964285714
+fom density  2409/2730 is 0.44951817107142855
+fom density  2410/2730 is 0.44434425852040815
+fom density  2411/2730 is 0.4396048644897959
+fom density  2412/2730 is 0.442166804132653
+fom density  2413/2730 is 0.4503970458163265
+fom density  2414/2730 is 0.45776507969387753
+fom density  2415/2730 is 0.46432542938775506
+fom density  2416/2730 is 0.4690014151020408
+fom density  2417/2730 is 0.47396598775510207
+fom density  2418/2730 is 0.47976369556122445
+fom density  2419/2730 is 0.4803688187244898
+fom density  2420/2730 is 0.4814024365816327
+fom density  2421/2730 is 0.48258250290816324
+fom density  2422/2730 is 0.4812823117346939
+fom density  2423/2730 is 0.47576819117346936
+fom density  2424/2730 is 0.4697908666836735
+fom density  2425/2730 is 0.4642885428061224
+fom density  2426/2730 is 0.4602092701020408
+fom density  2427/2730 is 0.456371261377551
+fom density  2428/2730 is 0.4511275552040816
+fom density  2429/2730 is 0.4538813907142857
+fom density  2430/2730 is 0.4597178008163265
+fom density  2431/2730 is 0.45929722275510204
+fom density  2432/2730 is 0.4588223260204081
+fom density  2433/2730 is 0.45855832999999996
+fom density  2434/2730 is 0.45892476
+fom density  2435/2730 is 0.45964007790816325
+fom density  2436/2730 is 0.4595193660714285
+fom density  2437/2730 is 0.459161052755102
+fom density  2438/2730 is 0.4589432593877551
+fom density  2439/2730 is 0.45621875183673466
+fom density  2440/2730 is 0.4502320093367347
+fom density  2441/2730 is 0.4511113020918367
+fom density  2442/2730 is 0.4569473074489796
+fom density  2443/2730 is 0.4561727764795918
+fom density  2444/2730 is 0.4563957870918367
+fom density  2445/2730 is 0.455622975255102
+fom density  2446/2730 is 0.4561378918877551
+fom density  2447/2730 is 0.45668140489795916
+fom density  2448/2730 is 0.4566401884183673
+fom density  2449/2730 is 0.45637437969387756
+fom density  2450/2730 is 0.45663662801020405
+fom density  2451/2730 is 0.4558152889795918
+fom density  2452/2730 is 0.45058819464285715
+fom density  2453/2730 is 0.4522703111734694
+fom density  2454/2730 is 0.4576581950510204
+fom density  2455/2730 is 0.4595883474489796
+fom density  2456/2730 is 0.4594201284183673
+fom density  2457/2730 is 0.45893222311224485
+fom density  2458/2730 is 0.4591027258673469
+fom density  2459/2730 is 0.4597137695918367
+fom density  2460/2730 is 0.4593585254591837
+fom density  2461/2730 is 0.4595551444387755
+fom density  2462/2730 is 0.45913935107142856
+fom density  2463/2730 is 0.4583849955612245
+fom density  2464/2730 is 0.45270139637755097
+fom density  2465/2730 is 0.4519396464285714
+fom density  2466/2730 is 0.45579293336734694
+fom density  2467/2730 is 0.4608197464795918
+fom density  2468/2730 is 0.46471617596938775
+fom density  2469/2730 is 0.47142779795918366
+fom density  2470/2730 is 0.4795281849489796
+{{ CHECK }} 2470/2730
+fom density  2471/2730 is 0.4742153906632653
+fom density  2472/2730 is 0.4671755521938776
+fom density  2473/2730 is 0.46115801734693873
+fom density  2474/2730 is 0.45435454295918365
+fom density  2475/2730 is 0.44977155392857143
+fom density  2476/2730 is 0.44548317198979587
+fom density  2477/2730 is 0.44800213433673464
+fom density  2478/2730 is 0.4554191085204081
+fom density  2479/2730 is 0.463038888877551
+fom density  2480/2730 is 0.4691079805102041
+fom density  2481/2730 is 0.4731627928571428
+fom density  2482/2730 is 0.47751604214285714
+fom density  2483/2730 is 0.4826231853571428
+fom density  2484/2730 is 0.48344828556122443
+fom density  2485/2730 is 0.4844645239285714
+fom density  2486/2730 is 0.4858016131632653
+fom density  2487/2730 is 0.48472706040816327
+fom density  2488/2730 is 0.4800387429591837
+fom density  2489/2730 is 0.4748566805612245
+fom density  2490/2730 is 0.47010665887755104
+fom density  2491/2730 is 0.466628585
+fom density  2492/2730 is 0.46344386290816325
+fom density  2493/2730 is 0.45900211112244893
+fom density  2494/2730 is 0.461196032755102
+fom density  2495/2730 is 0.4662576337244898
+fom density  2496/2730 is 0.4659712294897959
+fom density  2497/2730 is 0.4654746387755102
+fom density  2498/2730 is 0.4652718527040816
+fom density  2499/2730 is 0.46571945285714283
+fom density  2500/2730 is 0.46637710984693875
+fom density  2501/2730 is 0.4662425780612245
+fom density  2502/2730 is 0.4658002754591837
+fom density  2503/2730 is 0.46554270780612245
+fom density  2504/2730 is 0.4632975323979591
+fom density  2505/2730 is 0.4581863921938775
+fom density  2506/2730 is 0.4588136484693877
+fom density  2507/2730 is 0.4638619662244897
+fom density  2508/2730 is 0.46330455122448977
+fom density  2509/2730 is 0.46335974816326525
+fom density  2510/2730 is 0.4627596911734693
+fom density  2511/2730 is 0.46327174025510204
+fom density  2512/2730 is 0.46380461918367344
+fom density  2513/2730 is 0.4637828303571428
+fom density  2514/2730 is 0.4634260409183673
+fom density  2515/2730 is 0.4636026228571428
+fom density  2516/2730 is 0.4629373375
+fom density  2517/2730 is 0.4584925809693877
+fom density  2518/2730 is 0.45981086377551017
+fom density  2519/2730 is 0.4644901290816326
+fom density  2520/2730 is 0.46620681647959183
+fom density  2521/2730 is 0.4660096307142857
+fom density  2522/2730 is 0.4656191325510204
+fom density  2523/2730 is 0.4658294359183673
+fom density  2524/2730 is 0.46640678693877546
+fom density  2525/2730 is 0.4661394484183673
+fom density  2526/2730 is 0.4661689596428571
+fom density  2527/2730 is 0.4657359858163265
+fom density  2528/2730 is 0.46513412025510203
+fom density  2529/2730 is 0.46029213015306125
+fom density  2530/2730 is 0.4595812332653061
+fom density  2531/2730 is 0.46287897561224484
+fom density  2532/2730 is 0.4672497183163265
+fom density  2533/2730 is 0.47069417249999995
+fom density  2534/2730 is 0.4765459858163265
+fom density  2535/2730 is 0.48324252999999995
+{{ CHECK }} 2535/2730
+fom density  2536/2730 is 0.4779305991836734
+fom density  2537/2730 is 0.47089021346938775
+fom density  2538/2730 is 0.46520531545918364
+fom density  2539/2730 is 0.459256706377551
+fom density  2540/2730 is 0.4547207377040816
+fom density  2541/2730 is 0.4505290745918367
+fom density  2542/2730 is 0.4526681807142857
+fom density  2543/2730 is 0.45871413744897954
+fom density  2544/2730 is 0.46536813938775506
+fom density  2545/2730 is 0.4710500153061224
+fom density  2546/2730 is 0.4745348786734694
+fom density  2547/2730 is 0.47842782306122444
+fom density  2548/2730 is 0.4830166164795918
+fom density  2549/2730 is 0.48386324352040816
+fom density  2550/2730 is 0.4848691906632653
+fom density  2551/2730 is 0.48643208852040815
+fom density  2552/2730 is 0.4857889085204082
+fom density  2553/2730 is 0.48166129525510204
+fom density  2554/2730 is 0.47744979984693875
+fom density  2555/2730 is 0.4734983131122449
+fom density  2556/2730 is 0.4708217545918367
+fom density  2557/2730 is 0.4687550737755102
+fom density  2558/2730 is 0.4653540020408163
+fom density  2559/2730 is 0.46678483219387756
+fom density  2560/2730 is 0.47139731045918365
+fom density  2561/2730 is 0.4713955634693877
+fom density  2562/2730 is 0.47079935096938774
+fom density  2563/2730 is 0.4721422832653061
+fom density  2564/2730 is 0.4731699034693877
+fom density  2565/2730 is 0.4736528335204081
+fom density  2566/2730 is 0.472846332755102
+fom density  2567/2730 is 0.4722251446428571
+fom density  2568/2730 is 0.4719217078571428
+fom density  2569/2730 is 0.4698627162244898
+fom density  2570/2730 is 0.4655244283163265
+fom density  2571/2730 is 0.465961427244898
+fom density  2572/2730 is 0.4698291030612245
+fom density  2573/2730 is 0.46802345913265303
+fom density  2574/2730 is 0.46794122852040815
+fom density  2575/2730 is 0.4672674194387755
+fom density  2576/2730 is 0.4678379826020408
+fom density  2577/2730 is 0.46836742464285713
+fom density  2578/2730 is 0.46826822132653056
+fom density  2579/2730 is 0.46785531423469384
+fom density  2580/2730 is 0.46792831739795915
+fom density  2581/2730 is 0.4674264028061224
+fom density  2582/2730 is 0.4634936547448979
+fom density  2583/2730 is 0.4647153667857143
+fom density  2584/2730 is 0.46861976979591835
+fom density  2585/2730 is 0.47074529367346934
+fom density  2586/2730 is 0.4713759620408163
+fom density  2587/2730 is 0.471195030255102
+fom density  2588/2730 is 0.47123094846938773
+fom density  2589/2730 is 0.47187384862244897
+fom density  2590/2730 is 0.4719354132653061
+fom density  2591/2730 is 0.47167024678571423
+fom density  2592/2730 is 0.4718475910714286
+fom density  2593/2730 is 0.4716103851020408
+fom density  2594/2730 is 0.46750210295918365
+fom density  2595/2730 is 0.4659902796428571
+fom density  2596/2730 is 0.4680421560714286
+fom density  2597/2730 is 0.4717284656632653
+fom density  2598/2730 is 0.4749928318367347
+fom density  2599/2730 is 0.4804202645408163
+fom density  2600/2730 is 0.4860832090816326
+{{ CHECK }} 2600/2730
+fom density  2601/2730 is 0.48090917846938774
+fom density  2602/2730 is 0.4744145989285714
+fom density  2603/2730 is 0.4690091665306122
+fom density  2604/2730 is 0.46368069658163263
+fom density  2605/2730 is 0.4595461376530612
+fom density  2606/2730 is 0.4560245642346939
+fom density  2607/2730 is 0.45793099249999997
+fom density  2608/2730 is 0.46318555352040813
+fom density  2609/2730 is 0.46924153249999995
+fom density  2610/2730 is 0.4746329439795918
+fom density  2611/2730 is 0.4778514763265306
+fom density  2612/2730 is 0.48190319290816325
+fom density  2613/2730 is 0.4861689459693877
+fom density  2614/2730 is 0.4869628796938775
+fom density  2615/2730 is 0.4883719920918367
+fom density  2616/2730 is 0.48961647974489797
+fom density  2617/2730 is 0.48931243443877553
+fom density  2618/2730 is 0.4862164629081632
+fom density  2619/2730 is 0.4822808693367347
+fom density  2620/2730 is 0.47904218846938773
+fom density  2621/2730 is 0.4774962764795918
+fom density  2622/2730 is 0.47589568586734693
+fom density  2623/2730 is 0.47308942066326526
+fom density  2624/2730 is 0.4738163227040816
+fom density  2625/2730 is 0.47771743239795916
+fom density  2626/2730 is 0.47794396923469384
+fom density  2627/2730 is 0.4772205315306122
+fom density  2628/2730 is 0.4796480840816326
+fom density  2629/2730 is 0.48003756790816327
+fom density  2630/2730 is 0.48039972673469383
+fom density  2631/2730 is 0.4794965156122449
+fom density  2632/2730 is 0.47839016969387754
+fom density  2633/2730 is 0.47815949806122443
+fom density  2634/2730 is 0.4771286442857142
+fom density  2635/2730 is 0.47313367413265306
+fom density  2636/2730 is 0.4735501189285714
+fom density  2637/2730 is 0.47734029107142856
+fom density  2638/2730 is 0.47426637448979586
+fom density  2639/2730 is 0.4746039233673469
+fom density  2640/2730 is 0.47378062556122447
+fom density  2641/2730 is 0.4741459133163265
+fom density  2642/2730 is 0.4744217693877551
+fom density  2643/2730 is 0.4742778478061224
+fom density  2644/2730 is 0.47429408765306125
+fom density  2645/2730 is 0.47413855933673466
+fom density  2646/2730 is 0.47367068999999995
+fom density  2647/2730 is 0.4702584167346939
+fom density  2648/2730 is 0.4712026812244898
+fom density  2649/2730 is 0.47464514948979586
+fom density  2650/2730 is 0.4781490061224489
+fom density  2651/2730 is 0.4780546945918367
+fom density  2652/2730 is 0.4778515074489796
+fom density  2653/2730 is 0.47812621586734694
+fom density  2654/2730 is 0.4781205547959183
+fom density  2655/2730 is 0.4784679984183673
+fom density  2656/2730 is 0.47805882285714285
+fom density  2657/2730 is 0.4784965865306122
+fom density  2658/2730 is 0.47836534647959184
+fom density  2659/2730 is 0.47453640551020404
+fom density  2660/2730 is 0.4723723194387755
+fom density  2661/2730 is 0.4742102514285714
+fom density  2662/2730 is 0.47748689158163266
+fom density  2663/2730 is 0.479933188877551
+fom density  2664/2730 is 0.48484591025510204
+fom density  2665/2730 is 0.490265471377551
+{{ CHECK }} 2665/2730
+fom density  2666/2730 is 0.4823328042591836
+fom density  2667/2730 is 0.47877830801020405
+fom density  2668/2730 is 0.47483164290816327
+fom density  2669/2730 is 0.46901181091836736
+fom density  2670/2730 is 0.46560417918367347
+fom density  2671/2730 is 0.4638221717857143
+fom density  2672/2730 is 0.46455898158163267
+fom density  2673/2730 is 0.4695238911734694
+fom density  2674/2730 is 0.47541910938775506
+fom density  2675/2730 is 0.4796834144897959
+fom density  2676/2730 is 0.48317908678571425
+fom density  2677/2730 is 0.4880505163265306
+fom density  2678/2730 is 0.4913003659693877
+fom density  2679/2730 is 0.49256960341836736
+fom density  2680/2730 is 0.49453208209183674
+fom density  2681/2730 is 0.49499598719387755
+fom density  2682/2730 is 0.4953839533673469
+fom density  2683/2730 is 0.4931838199489796
+fom density  2684/2730 is 0.4891179475510204
+fom density  2685/2730 is 0.48609439377551017
+fom density  2686/2730 is 0.48557324173469385
+fom density  2687/2730 is 0.48370145326530606
+fom density  2688/2730 is 0.48115204239795917
+fom density  2689/2730 is 0.48168189224489794
+fom density  2690/2730 is 0.4842904103061224
+fom density  2691/2730 is 0.48349231163265305
+fom density  2692/2730 is 0.48295629918367344
+fom density  2693/2730 is 0.486459547755102
+fom density  2694/2730 is 0.48478396352040815
+fom density  2695/2730 is 0.485725430255102
+fom density  2696/2730 is 0.4854257892857142
+fom density  2697/2730 is 0.4836580996938775
+fom density  2698/2730 is 0.4828859781122449
+fom density  2699/2730 is 0.4833007709183673
+fom density  2700/2730 is 0.48024557056122447
+fom density  2701/2730 is 0.48076159954081626
+fom density  2702/2730 is 0.48517902617346936
+fom density  2703/2730 is 0.4814928020918367
+fom density  2704/2730 is 0.4820953390306122
+fom density  2705/2730 is 0.48165642249999996
+fom density  2706/2730 is 0.4822220296428571
+fom density  2707/2730 is 0.4814186590306122
+fom density  2708/2730 is 0.48162258862244894
+fom density  2709/2730 is 0.4823762351020408
+fom density  2710/2730 is 0.481121865
+fom density  2711/2730 is 0.4808699439285714
+fom density  2712/2730 is 0.477941928877551
+fom density  2713/2730 is 0.47837334719387753
+fom density  2714/2730 is 0.48232461943877547
+fom density  2715/2730 is 0.48707777474489794
+fom density  2716/2730 is 0.4855442302040816
+fom density  2717/2730 is 0.48591254765306124
+fom density  2718/2730 is 0.48711318112244895
+fom density  2719/2730 is 0.48660909035714284
+fom density  2720/2730 is 0.48742984443877546
+fom density  2721/2730 is 0.4870755878061224
+fom density  2722/2730 is 0.48706126096938773
+fom density  2723/2730 is 0.48539666173469387
+fom density  2724/2730 is 0.4815570321938776
+fom density  2725/2730 is 0.4794906901530612
+fom density  2726/2730 is 0.4813216172959183
+fom density  2727/2730 is 0.48441635933673466
+fom density  2728/2730 is 0.48583973867346936
+fom density  2729/2730 is 0.4893290278061224
+fom density  2730/2730 is 0.4927638589530612