scramble length: 1 probability for 0 flipped edges: 0.77777777777777777778 probability for 4 flipped edges: 0.22222222222222222222 state 1 is least probable with 0.00000000000000000000 state 0 is most probable with 0.77777777777777777778 scramble length: 2 probability for 0 flipped edges: 0.58518518518518518519 probability for 4 flipped edges: 0.38518518518518518519 probability for 8 flipped edges: 0.02962962962962962963 state 1 is least probable with 0.00000000000000000000 state 0 is most probable with 0.58518518518518518519 scramble length: 3 probability for 0 flipped edges: 0.43407407407407407407 probability for 2 flipped edges: 0.02370370370370370370 probability for 4 flipped edges: 0.46518518518518518519 probability for 6 flipped edges: 0.00790123456790123457 probability for 8 flipped edges: 0.06913580246913580247 state 1 is least probable with 0.00000000000000000000 state 0 is most probable with 0.43407407407407407407 scramble length: 4 probability for 0 flipped edges: 0.32444444444444444444 probability for 2 flipped edges: 0.04609053497942386831 probability for 4 flipped edges: 0.49725102880658436214 probability for 6 flipped edges: 0.03239506172839506173 probability for 8 flipped edges: 0.09981893004115226337 state 5 is least probable with 0.00000000000000000000 state 0 is most probable with 0.32444444444444444444 scramble length: 5 probability for 0 flipped edges: 0.24244279835390946502 probability for 2 flipped edges: 0.06096241426611796982 probability for 4 flipped edges: 0.50400658436213991770 probability for 6 flipped edges: 0.07211193415637860082 probability for 8 flipped edges: 0.12047626886145404664 state 85 is least probable with 0.00000000000000000000 state 0 is most probable with 0.24244279835390946502 scramble length: 6 probability for 0 flipped edges: 0.18150906264288980338 probability for 2 flipped edges: 0.06928621856424325560 probability for 4 flipped edges: 0.49493860082304526749 probability for 6 flipped edges: 0.11812872427983539095 probability for 8 flipped edges: 0.13560596250571559214 probability for 10 flipped edges: 0.00053143118427069044 state 511 is least probable with 0.00000000000000000000 state 0 is most probable with 0.18150906264288980338 scramble length: 7 probability for 0 flipped edges: 0.13605399176954732510 probability for 2 flipped edges: 0.07331736991312299954 probability for 4 flipped edges: 0.47680784270690443530 probability for 6 flipped edges: 0.16433303703703703704 probability for 8 flipped edges: 0.14773559640298734949 probability for 10 flipped edges: 0.00174833836305441244 probability for 12 flipped edges: 0.00000382380734644109 state 2047 is least probable with 0.00000382380734644109 state 0 is most probable with 0.13605399176954732510 scramble length: 8 probability for 0 flipped edges: 0.10208030044200579180 probability for 2 flipped edges: 0.07429487423665091704 probability for 4 flipped edges: 0.45451358658741045572 probability for 6 flipped edges: 0.20767666717471930092 probability for 8 flipped edges: 0.15793750464868160341 probability for 10 flipped edges: 0.00347750566478687192 probability for 12 flipped edges: 0.00001956124574505919 state 2047 is least probable with 0.00001956124574505919 state 0 is most probable with 0.10208030044200579180 scramble length: 9 probability for 0 flipped edges: 0.07667006386153872208 probability for 2 flipped edges: 0.07319646520008806246 probability for 4 flipped edges: 0.43096157466510863859 probability for 6 flipped edges: 0.24687019303967891074 probability for 8 flipped edges: 0.16672829055191451168 probability for 10 flipped edges: 0.00552821311114498129 probability for 12 flipped edges: 0.00004519957052617318 state 2047 is least probable with 0.00004519957052617318 state 0 is most probable with 0.07667006386153872208 scramble length: 10 probability for 0 flipped edges: 0.05765309340748643782 probability for 2 flipped edges: 0.07080727581879456045 probability for 4 flipped edges: 0.40786531883165958215 probability for 6 flipped edges: 0.28137981455997561347 probability for 8 flipped edges: 0.17446902924165805800 probability for 10 flipped edges: 0.00774900310363709236 probability for 12 flipped edges: 0.00007646503678865575 state 959 is least probable with 0.00007451604536345521 state 0 is most probable with 0.05765309340748643782 scramble length: 11 probability for 0 flipped edges: 0.04341282419145831804 probability for 2 flipped edges: 0.06769966575091044914 probability for 4 flipped edges: 0.38619156708195265326 probability for 6 flipped edges: 0.31115908981479712706 probability for 8 flipped edges: 0.18140239409307750061 probability for 10 flipped edges: 0.01002408179178347173 probability for 12 flipped edges: 0.00011037727602048017 state 1531 is least probable with 0.00010709212496589461 state 0 is most probable with 0.04341282419145831804 scramble length: 12 probability for 0 flipped edges: 0.03274310609476528909 probability for 2 flipped edges: 0.06426943560749002555 probability for 4 flipped edges: 0.36642819543645938746 probability for 6 flipped edges: 0.33646547684530213765 probability for 8 flipped edges: 0.18768070245646093044 probability for 10 flipped edges: 0.01226800441186103443 probability for 12 flipped edges: 0.00014507914766119538 state 1471 is least probable with 0.00014133816074479262 state 0 is most probable with 0.03274310609476528909 scramble length: 13 probability for 0 flipped edges: 0.02474381073347492405 probability for 2 flipped edges: 0.06078013931026961036 probability for 4 flipped edges: 0.34876197718212356216 probability for 6 flipped edges: 0.35771439472009873031 probability for 8 flipped edges: 0.19339918063674587395 probability for 10 flipped edges: 0.01442130032461662704 probability for 12 flipped edges: 0.00017919709267067213 state 1019 is least probable with 0.00017574598855505524 state 0 is most probable with 0.02474381073347492405 scramble length: 14 probability for 0 flipped edges: 0.01874282651575916755 probability for 2 flipped edges: 0.05740034060657675459 probability for 4 flipped edges: 0.33319592020022167375 probability for 6 flipped edges: 0.37538486191388099434 probability for 8 flipped edges: 0.19861911818048003573 probability for 10 flipped edges: 0.01644511946224437404 probability for 12 flipped edges: 0.00021181312083700000 state 1775 is least probable with 0.00020919363185567503 state 0 is most probable with 0.01874282651575916755 scramble length: 15 probability for 0 flipped edges: 0.01423802063901009168 probability for 2 flipped edges: 0.05423145935046745446 probability for 4 flipped edges: 0.31962612943036619848 probability for 6 flipped edges: 0.38996350322317346231 probability for 8 flipped edges: 0.20338187324213037113 probability for 10 flipped edges: 0.01831663627868396540 probability for 12 flipped edges: 0.00024237783616845654 state 1775 is least probable with 0.00024090788854759510 state 0 is most probable with 0.01423802063901009168 scramble length: 16 probability for 0 flipped edges: 0.01085405914720302829 probability for 2 flipped edges: 0.05132820638417809327 probability for 4 flipped edges: 0.30789199732303406397 probability for 6 flipped edges: 0.40191215174616344780 probability for 8 flipped edges: 0.20771793867322129783 probability for 10 flipped edges: 0.02002504748309074587 probability for 12 flipped edges: 0.00027059924310932297 state 959 is least probable with 0.00027040295517245861 state 0 is most probable with 0.01085405914720302829 scramble length: 17 probability for 0 flipped edges: 0.00831024959201143003 probability for 2 flipped edges: 0.04871357093770350300 probability for 4 flipped edges: 0.29780813860538131629 probability for 6 flipped edges: 0.41165082019309883185 probability for 8 flipped edges: 0.21165263948036853055 probability for 10 flipped edges: 0.02156821945149850055 probability for 12 flipped edges: 0.00029636173993788774 state 2047 is least probable with 0.00029636173993788774 state 0 is most probable with 0.00831024959201143003 scramble length: 18 probability for 0 flipped edges: 0.00639656909601190990 probability for 2 flipped edges: 0.04638966821566460143 probability for 4 flipped edges: 0.28918412991173494200 probability for 6 flipped edges: 0.41955056784139082991 probability for 8 flipped edges: 0.21520935699071689966 probability for 10 flipped edges: 0.02295003904270468918 probability for 12 flipped edges: 0.00031966890177612793 state 2047 is least probable with 0.00031966890177612793 state 0 is most probable with 0.00639656909601190990 scramble length: 19 probability for 0 flipped edges: 0.00495578964276412758 probability for 2 flipped edges: 0.04434545484311657725 probability for 4 flipped edges: 0.28183623503765718462 probability for 6 flipped edges: 0.42593239089464754326 probability for 8 flipped edges: 0.21841114819482023158 probability for 10 flipped edges: 0.02417837961928814123 probability for 12 flipped edges: 0.00034060176770619447 state 2047 is least probable with 0.00034060176770619447 state 0 is most probable with 0.00495578964276412758 scramble length: 20 probability for 0 flipped edges: 0.00387014398574946060 probability for 2 flipped edges: 0.04256213062109045295 probability for 4 flipped edges: 0.27559388134452439424 probability for 6 flipped edges: 0.43106959717314317864 probability for 8 flipped edges: 0.22128139053573238112 probability for 10 flipped edges: 0.02526356701744666840 probability for 12 flipped edges: 0.00035928932231346405 state 2047 is least probable with 0.00035928932231346405 state 0 is most probable with 0.00387014398574946060 scramble length: 21 probability for 0 flipped edges: 0.00305137344609203978 probability for 2 flipped edges: 0.04101685587730377247 probability for 4 flipped edges: 0.27030274927882748759 probability for 6 flipped edges: 0.43519201981138479962 probability for 8 flipped edges: 0.22384386659349174468 probability for 10 flipped edges: 0.02621724704591015295 probability for 12 flipped edges: 0.00037588794699000290 state 2047 is least probable with 0.00037588794699000290 state 0 is most probable with 0.00305137344609203978 scramble length: 22 probability for 0 flipped edges: 0.00243329639616895001 probability for 2 flipped edges: 0.03968525038889434349 probability for 4 flipped edges: 0.26582573822852304591 probability for 6 flipped edges: 0.43849102009659941979 probability for 8 flipped edges: 0.22612255728159313850 probability for 10 flipped edges: 0.02705157042462603817 probability for 12 flipped edges: 0.00039056718359506413 state 2047 is least probable with 0.00039056718359506413 state 0 is most probable with 0.00243329639616895001 scramble length: 23 probability for 0 flipped edges: 0.00196625652371895650 probability for 2 flipped edges: 0.03854302027966189430 probability for 4 flipped edges: 0.26204265100221611184 probability for 6 flipped edges: 0.44112463685622664422 probability for 8 flipped edges: 0.22814131163593971141 probability for 10 flipped edges: 0.02777862368147171565 probability for 12 flipped edges: 0.00040350002076496607 state 2047 is least probable with 0.00040350002076496607 state 0 is most probable with 0.00196625652371895650 scramble length: 24 probability for 0 flipped edges: 0.00161297351131925488 probability for 2 flipped edges: 0.03756696893952032842 probability for 4 flipped edges: 0.25884915100263964865 probability for 6 flipped edges: 0.44322250957548191672 probability for 8 flipped edges: 0.22992349328807653150 probability for 10 flipped edges: 0.02841004727341898289 probability for 12 flipped edges: 0.00041485640954333695 state 2047 is least probable with 0.00041485640954333695 state 0 is most probable with 0.00161297351131925488 scramble length: 25 probability for 0 flipped edges: 0.00134544044252748545 probability for 2 flipped edges: 0.03673557940805194881 probability for 4 flipped edges: 0.25615535099536977496 probability for 6 flipped edges: 0.44489037738355416974 probability for 8 flipped edges: 0.23149165891662189241 probability for 10 flipped edges: 0.02895679378114915976 probability for 12 flipped edges: 0.00042479907272556887 state 2047 is least probable with 0.00042479907272556887 state 0 is most probable with 0.00134544044252748545 scramble length: 26 probability for 0 flipped edges: 0.00114260280124388401 probability for 2 flipped edges: 0.03602930419455481580 probability for 4 flipped edges: 0.25388426066306885417 probability for 6 flipped edges: 0.44621406717181743797 probability for 8 flipped edges: 0.23286729524426340540 probability for 10 flipped edges: 0.02942898898548174215 probability for 12 flipped edges: 0.00043348093956986050 state 2047 is least probable with 0.00043348093956986050 state 0 is most probable with 0.00114260280124388401 scramble length: 27 probability for 0 flipped edges: 0.00098862134034961633 probability for 2 flipped edges: 0.03543066025146332700 probability for 4 flipped edges: 0.25197023195039677901 probability for 6 flipped edges: 0.44726295234325874607 probability for 8 flipped edges: 0.23407062346016284229 probability for 10 flipped edges: 0.02983586692764542578 probability for 12 flipped edges: 0.00044104372672326352 state 2047 is least probable with 0.00044104372672326352 state 0 is most probable with 0.00098862134034961633 scramble length: 28 probability for 0 flipped edges: 0.00087157130393534689 probability for 2 flipped edges: 0.03492419857303262139 probability for 4 flipped edges: 0.25035748286108568551 probability for 6 flipped edges: 0.44809290349456736654 probability for 8 flipped edges: 0.23512046963092718216 probability for 10 flipped edges: 0.03018575681632769661 probability for 12 flipped edges: 0.00044761732012410091 state 2047 is least probable with 0.00044761732012410091 state 0 is most probable with 0.00087157130393534689 scramble length: 29 probability for 0 flipped edges: 0.00078246790109772985 probability for 2 flipped edges: 0.03449639718298096884 probability for 4 flipped edges: 0.24899874236543933858 probability for 6 flipped edges: 0.44874877362897823330 probability for 8 flipped edges: 0.23603419415222479299 probability for 10 flipped edges: 0.03048610506061559022 probability for 12 flipped edges: 0.00045331970866334622 state 2047 is least probable with 0.00045331970866334622 state 0 is most probable with 0.00078246790109772985 scramble length: 30 probability for 0 flipped edges: 0.00071453582019896016 probability for 2 flipped edges: 0.03413551120729870472 probability for 4 flipped edges: 0.24785403484597420002 probability for 6 flipped edges: 0.44926647001946396435 probability for 8 flipped edges: 0.23682767083507511291 probability for 10 flipped edges: 0.03074351998249407147 probability for 12 flipped edges: 0.00045825728949498636 state 2047 is least probable with 0.00045825728949498636 state 0 is most probable with 0.00071453582019896016 scramble length: 31 probability for 0 flipped edges: 0.00066266137267186830 probability for 2 flipped edges: 0.03383140285668919007 probability for 4 flipped edges: 0.24688960752276657389 probability for 6 flipped edges: 0.44967466711311218436 probability for 8 flipped edges: 0.23751530562806288256 probability for 10 flipped edges: 0.03096383009183459780 probability for 12 flipped edges: 0.00046252541486270302 state 2047 is least probable with 0.00046252541486270302 state 0 is most probable with 0.00066266137267186830 scramble length: 32 probability for 0 flipped edges: 0.00062298137377879981 probability for 2 flipped edges: 0.03357536637234972883 probability for 4 flipped edges: 0.24607699545040812744 probability for 6 flipped edges: 0.44999621289067141522 probability for 8 flipped edges: 0.23811008545772984121 probability for 10 flipped edges: 0.03115214936840313052 probability for 12 flipped edges: 0.00046620908665895696 state 2047 is least probable with 0.00046620908665895696 state 0 is most probable with 0.00062298137377879981 scramble length: 33 probability for 0 flipped edges: 0.00059257445003872785 probability for 2 flipped edges: 0.03335995749509024822 probability for 4 flipped edges: 0.24539221384386656775 probability for 6 flipped edges: 0.45024927682720996720 probability for 8 flipped edges: 0.23862364870913537802 probability for 10 flipped edges: 0.03131294494315402346 probability for 12 flipped edges: 0.00046938373150508750 state 2047 is least probable with 0.00046938373150508750 state 0 is most probable with 0.00059257445003872785 scramble length: 34 probability for 0 flipped edges: 0.00056922911106754742 probability for 2 flipped edges: 0.03317883318490476049 probability for 4 flipped edges: 0.24481506523172094267 probability for 6 flipped edges: 0.45044828228804004901 probability for 8 flipped edges: 0.23906637014126872331 probability for 10 flipped edges: 0.03145010403434897970 probability for 12 flipped edges: 0.00047211600864899741 state 2047 is least probable with 0.00047211600864899741 state 0 is most probable with 0.00056922911106754742 scramble length: 35 probability for 0 flipped edges: 0.00055126938328256247 probability for 2 flipped edges: 0.03302660468770472615 probability for 4 flipped edges: 0.24432854828372390481 probability for 6 flipped edges: 0.45060466060883866021 probability for 8 flipped edges: 0.23944745433972727372 probability for 10 flipped edges: 0.03156699807938218484 probability for 12 flipped edges: 0.00047446461734068781 state 2047 is least probable with 0.00047446461734068781 state 0 is most probable with 0.00055126938328256247 scramble length: 36 probability for 0 flipped edges: 0.00053742363000007418 probability for 2 flipped edges: 0.03289870527893289113 probability for 4 flipped edges: 0.24391835547066959322 probability for 6 flipped edges: 0.45072745870367597252 probability for 8 flipped edges: 0.23977503303895647605 probability for 10 flipped edges: 0.03166654279682954054 probability for 12 flipped edges: 0.00047648108093545237 state 2047 is least probable with 0.00047648108093545237 state 0 is most probable with 0.00053742363000007418 scramble length: 37 probability for 0 flipped edges: 0.00052672579102461127 probability for 2 flipped edges: 0.03279127286083199832 probability for 4 flipped edges: 0.24357244756469692050 probability for 6 flipped edges: 0.45082382706591567461 probability for 8 flipped edges: 0.24005626274074911626 probability for 10 flipped edges: 0.03175125348400640889 probability for 12 flipped edges: 0.00047821049277527016 state 2047 is least probable with 0.00047821049277527016 state 0 is most probable with 0.00052672579102461127 scramble length: 38 probability for 0 flipped edges: 0.00051844097361815959 probability for 2 flipped edges: 0.03270104686895909976 probability for 4 flipped edges: 0.24328069410442098382 probability for 6 flipped edges: 0.45089941058896518432 probability for 8 flipped edges: 0.24029741999188239187 probability for 10 flipped edges: 0.03182329525752861908 probability for 12 flipped edges: 0.00047969221462556155 state 2047 is least probable with 0.00047969221462556155 state 0 is most probable with 0.00051844097361815959 scramble length: 39 probability for 0 flipped edges: 0.00051200934599165294 probability for 2 flipped edges: 0.03262527852174414552 probability for 4 flipped edges: 0.24303457016004310827 probability for 6 flipped edges: 0.45095866076905061979 probability for 8 flipped edges: 0.24050399246010786851 probability for 10 flipped edges: 0.03188452822044231010 probability for 12 flipped edges: 0.00048096052262029487 state 2047 is least probable with 0.00048096052262029487 state 0 is most probable with 0.00051200934599165294 scramble length: 40 probability for 0 flipped edges: 0.00050700379595378069 probability for 2 flipped edges: 0.03256165322907856321 probability for 4 flipped edges: 0.24282690093489567007 probability for 6 flipped edges: 0.45100508454459615954 probability for 8 flipped edges: 0.24068076457456175685 probability for 10 flipped edges: 0.03193654772223380284 probability for 12 flipped edges: 0.00048204519868026680 state 2047 is least probable with 0.00048204519868026680 state 0 is most probable with 0.00050700379595378069 scramble length: 41 probability for 0 flipped edges: 0.00050309794928471760 probability for 2 flipped edges: 0.03250822389389123459 probability for 4 flipped edges: 0.24265164687236183660 probability for 6 flipped edges: 0.45104144223391288239 probability for 8 flipped edges: 0.24083189699043224414 probability for 10 flipped edges: 0.03198071999261132914 probability for 12 flipped edges: 0.00048297206750575555 state 2047 is least probable with 0.00048297206750575555 state 0 is most probable with 0.00050309794928471760 scramble length: 42 probability for 0 flipped edges: 0.00050004199049059624 probability for 2 flipped edges: 0.03246335384616627592 probability for 4 flipped edges: 0.24250372297026730992 probability for 6 flipped edges: 0.45106990469976082759 probability for 8 flipped edges: 0.24096099951710319763 probability for 10 flipped edges: 0.03201821349548911738 probability for 12 flipped edges: 0.00048376348072267533 state 2047 is least probable with 0.00048376348072267533 state 0 is most probable with 0.00050004199049059624 scramble length: 43 probability for 0 flipped edges: 0.00049764436432771531 probability for 2 flipped edges: 0.03242566820813338517 probability for 4 flipped edges: 0.24237884692641959818 probability for 6 flipped edges: 0.45109217793715307497 probability for 8 flipped edges: 0.24107119743271484733 probability for 10 flipped edges: 0.03205002638050613838 probability for 12 flipped edges: 0.00048443875074524067 state 2047 is least probable with 0.00048443875074524067 state 0 is most probable with 0.00049764436432771531 scramble length: 44 probability for 0 flipped edges: 0.00049575791327874436 probability for 2 flipped edges: 0.03239401257916733615 probability for 4 flipped edges: 0.24227341154787753455 probability for 6 flipped edges: 0.45110960169210291284 probability for 8 flipped edges: 0.24116519131361439626 probability for 10 flipped edges: 0.03207701041642584634 probability for 12 flipped edges: 0.00048501453753322951 state 2047 is least probable with 0.00048501453753322951 state 0 is most probable with 0.00049575791327874436 scramble length: 45 probability for 0 flipped edges: 0.00049426936394270824 probability for 2 flipped edges: 0.03236741803355217059 probability for 4 flipped edges: 0.24218437755814971116 probability for 6 flipped edges: 0.45112322742067420212 probability for 8 flipped edges: 0.24124531065008931928 probability for 10 flipped edges: 0.03209989178182787543 probability for 12 flipped edges: 0.00048550519176401318 state 2047 is least probable with 0.00048550519176401318 state 0 is most probable with 0.00049426936394270824 scramble length: 46 probability for 0 flipped edges: 0.00049309134392182318 probability for 2 flipped edges: 0.03234507153334152139 probability for 4 flipped edges: 0.24210918353965308510 probability for 6 flipped edges: 0.45113387984206508238 probability for 8 flipped edges: 0.24131356161352455111 probability for 10 flipped edges: 0.03211928906941191326 probability for 12 flipped edges: 0.00048592305808202357 state 2047 is least probable with 0.00048592305808202357 state 0 is most probable with 0.00049309134392182318 scramble length: 47 probability for 0 flipped edges: 0.00049215631258547963 probability for 2 flipped edges: 0.03232629096549715176 probability for 4 flipped edges: 0.24204567026371287626 probability for 6 flipped edges: 0.45114220548494591182 probability for 8 flipped edges: 0.24137166939601248701 probability for 10 flipped edges: 0.03213572883515856899 probability for 12 flipped edges: 0.00048627874208752452 state 2047 is least probable with 0.00048627874208752452 state 0 is most probable with 0.00049215631258547963 scramble length: 48 probability for 0 flipped edges: 0.00049141194077951438 probability for 2 flipped edges: 0.03231050411335491754 probability for 4 flipped edges: 0.24199201709775349573 probability for 6 flipped edges: 0.45114871093720820682 probability for 8 flipped edges: 0.24142111557079483064 probability for 10 flipped edges: 0.03214965899548355509 probability for 12 flipped edges: 0.00048658134462547980 state 2047 is least probable with 0.00048658134462547980 state 0 is most probable with 0.00049141194077951438 scramble length: 49 probability for 0 flipped edges: 0.00049081758864194911 probability for 2 flipped edges: 0.03229723096508790326 probability for 4 flipped edges: 0.24194668854932000738 probability for 6 flipped edges: 0.45115379295548408437 probability for 8 flipped edges: 0.24146317092827559210 probability for 10 flipped edges: 0.03216146034642373993 probability for 12 flipped edges: 0.00048683866676672385 state 2047 is least probable with 0.00048683866676672385 state 0 is most probable with 0.00049081758864194911 scramble length: 50 probability for 0 flipped edges: 0.00049034161655866080 probability for 2 flipped edges: 0.03228606884525041867 probability for 4 flipped edges: 0.24190838931860443512 probability for 6 flipped edges: 0.45115776214701790896 probability for 8 flipped edges: 0.24149892423372533409 probability for 10 flipped edges: 0.03217145645018093639 probability for 12 flipped edges: 0.00048705738866230597 state 2047 is least probable with 0.00048705738866230597 state 0 is most probable with 0.00049034161655866080 scramble length: 51 probability for 0 flipped edges: 0.00048995932896891432 probability for 2 flipped edges: 0.03227667992951745211 probability for 4 flipped edges: 0.24187602649370167209 probability for 6 flipped edges: 0.45116086158177974930 probability for 8 flipped edges: 0.24152930733390832063 probability for 10 flipped edges: 0.03217992210690757011 probability for 12 flipped edges: 0.00048724322521632145 state 2047 is least probable with 0.00048724322521632145 state 0 is most probable with 0.00048995932896891432 scramble length: 52 probability for 0 flipped edges: 0.00048965139947833899 probability for 2 flipped edges: 0.03226878076769548034 probability for 4 flipped edges: 0.24184867774335503564 probability for 6 flipped edges: 0.45116328140987472451 probability for 8 flipped edges: 0.24155511701433826468 probability for 10 flipped edges: 0.03218709060398172137 probability for 12 flipped edges: 0.00048740106127643448 state 2047 is least probable with 0.00048740106127643448 state 0 is most probable with 0.00048965139947833899 scramble length: 53 probability for 0 flipped edges: 0.00048940266250672635 probability for 2 flipped edges: 0.03226213349657252753 probability for 4 flipped edges: 0.24182556454696659100 probability for 6 flipped edges: 0.45116517033423093199 probability for 8 flipped edges: 0.24157703397945654402 probability for 10 flipped edges: 0.03219315991147214576 probability for 12 flipped edges: 0.00048753506879453334 state 2047 is least probable with 0.00048753506879453334 state 0 is most probable with 0.00048940266250672635 scramble length: 54 probability for 0 flipped edges: 0.00048920118445524563 probability for 2 flipped edges: 0.03225653847294739699 probability for 4 flipped edges: 0.24180602965673153083 probability for 6 flipped edges: 0.45116664460977514456 probability for 8 flipped edges: 0.24159563929677304454 probability for 10 flipped edges: 0.03219829797114812279 probability for 12 flipped edges: 0.00048764880816951467 state 2047 is least probable with 0.00048764880816951467 state 0 is most probable with 0.00048920118445524563 scramble length: 55 probability for 0 flipped edges: 0.00048903754834901725 probability for 2 flipped edges: 0.03225182809903701616 probability for 4 flipped edges: 0.24178951811668131986 probability for 6 flipped edges: 0.45116779509854241134 probability for 8 flipped edges: 0.24161142861439693971 probability for 10 flipped edges: 0.03220264720723849138 probability for 12 flipped edges: 0.00048774531575480430 state 2047 is least probable with 0.00048774531575480430 state 0 is most probable with 0.00048903754834901725 scramble length: 56 probability for 0 flipped edges: 0.00048890430176947457 probability for 2 flipped edges: 0.03224786164821261023 probability for 4 flipped edges: 0.24177556127223705978 probability for 6 flipped edges: 0.45116869279791983044 probability for 8 flipped edges: 0.24162482443045631613 probability for 10 flipped edges: 0.03220632837010679750 probability for 12 flipped edges: 0.00048782717929791135 state 2047 is least probable with 0.00048782717929791135 state 0 is most probable with 0.00048890430176947457 scramble length: 57 probability for 0 flipped edges: 0.00048879552989432737 probability for 2 flipped edges: 0.03224452092942852841 probability for 4 flipped edges: 0.24176376329500404778 probability for 6 flipped edges: 0.45116939317047097123 probability for 8 flipped edges: 0.24163618666336627696 probability for 10 flipped edges: 0.03220944380895602914 probability for 12 flipped edges: 0.00048789660287981911 state 2047 is least probable with 0.00048789660287981911 state 0 is most probable with 0.00048879552989432737 scramble length: 58 probability for 0 flipped edges: 0.00048870652455734703 probability for 2 flipped edges: 0.03224170665449297656 probability for 4 flipped edges: 0.24175378982386106488 probability for 6 flipped edges: 0.45116993953369560440 probability for 8 flipped edges: 0.24164582174420193938 probability for 10 flipped edges: 0.03221208025645194161 probability for 12 flipped edges: 0.00048795546273912613 state 2047 is least probable with 0.00048795546273912613 state 0 is most probable with 0.00048870652455734703 scramble length: 59 probability for 0 flipped edges: 0.00048863352713779124 probability for 2 flipped edges: 0.03223933539413117022 probability for 4 flipped edges: 0.24174535838733182484 probability for 6 flipped edges: 0.45117036571278767329 probability for 8 flipped edges: 0.24165399042681974850 probability for 10 flipped edges: 0.03221431119659213614 probability for 12 flipped edges: 0.00048800535519965577 state 2047 is least probable with 0.00048800535519965577 state 0 is most probable with 0.00048863352713779124 scramble length: 60 probability for 0 flipped edges: 0.00048857352832649353 probability for 2 flipped edges: 0.03223733702718157259 probability for 4 flipped edges: 0.24173823032579767081 probability for 6 flipped edges: 0.45117069811588233715 probability for 8 flipped edges: 0.24166091448796049142 probability for 10 flipped edges: 0.03221619887708107963 probability for 12 flipped edges: 0.00048804763777035486 state 2047 is least probable with 0.00048804763777035486 state 0 is most probable with 0.00048857352832649353 scramble length: 61 probability for 0 flipped edges: 0.00048852411179678093 probability for 2 flipped edges: 0.03223565260274890849 probability for 4 flipped edges: 0.24173220397701569881 probability for 6 flipped edges: 0.45117095735697841173 probability for 8 flipped edges: 0.24166678246837175698 probability for 10 flipped edges: 0.03221779601873647291 probability for 12 flipped edges: 0.00048808346435197015 state 2047 is least probable with 0.00048808346435197015 state 0 is most probable with 0.00048852411179678093 scramble length: 62 probability for 0 flipped edges: 0.00048848333183842897 probability for 2 flipped edges: 0.03223423254815245832 probability for 4 flipped edges: 0.24172710892606255765 probability for 6 flipped edges: 0.45117115952473751180 probability for 8 flipped edges: 0.24167175458694749448 probability for 10 flipped edges: 0.03221914726689627030 probability for 12 flipped edges: 0.00048811381536527848 state 2047 is least probable with 0.00048811381536527848 state 0 is most probable with 0.00048848333183842897 scramble length: 63 probability for 0 flipped edges: 0.00048844961732203169 probability for 2 flipped edges: 0.03223303516643398245 probability for 4 flipped edges: 0.24172280115241554088 probability for 6 flipped edges: 0.45117131717415051848 probability for 8 flipped edges: 0.24167596694289226801 probability for 10 flipped edges: 0.03222029042327617438 probability for 12 flipped edges: 0.00048813952350948412 state 2047 is least probable with 0.00048813952350948412 state 0 is most probable with 0.00048844961732203169 scramble length: 64 probability for 0 flipped edges: 0.00048842169612338067 probability for 2 flipped edges: 0.03223202537635210940 probability for 4 flipped edges: 0.24171915893339840128 probability for 6 flipped edges: 0.45117144010140199577 probability for 8 flipped edges: 0.24167953510584337606 probability for 10 flipped edges: 0.03222125749111508093 probability for 12 flipped edges: 0.00048816129576565589 state 2047 is least probable with 0.00048816129576565589 state 0 is most probable with 0.00048842169612338067 scramble length: 65 probability for 0 flipped edges: 0.00048839853548421499 probability for 2 flipped edges: 0.03223117365546723808 probability for 4 flipped edges: 0.24171607938548567433 probability for 6 flipped edges: 0.45117153594918614039 probability for 8 flipped edges: 0.24168255718057505883 probability for 10 flipped edges: 0.03222207556162405065 probability for 12 flipped edges: 0.00048817973217762272 state 2047 is least probable with 0.00048817973217762272 state 0 is most probable with 0.00048839853548421499 scramble length: 66 probability for 0 flipped edges: 0.00048837929481654561 probability for 2 flipped edges: 0.03223045515334944927 probability for 4 flipped edges: 0.24171347554366617655 probability for 6 flipped edges: 0.45117161067946940936 probability for 8 flipped edges: 0.24168511642120917579 probability for 10 flipped edges: 0.03222276756561877419 probability for 12 flipped edges: 0.00048819534187046925 state 2047 is least probable with 0.00048819534187046925 state 0 is most probable with 0.00048837929481654561 scramble length: 67 probability for 0 flipped edges: 0.00048836328824805817 probability for 2 flipped edges: 0.03222984894732199351 probability for 4 flipped edges: 0.24171127389479019819 probability for 6 flipped edges: 0.45117166894265208762 probability for 8 flipped edges: 0.24168728345961015901 probability for 10 flipped edges: 0.03222335291067389193 probability for 12 flipped edges: 0.00048820855670361157 state 2047 is least probable with 0.00048820855670361157 state 0 is most probable with 0.00048836328824805817 scramble length: 68 probability for 0 flipped edges: 0.00048834995481302020 probability for 2 flipped edges: 0.03222933741765393026 probability for 4 flipped edges: 0.24170941229404751538 probability for 6 flipped edges: 0.45117171436577845330 probability for 8 flipped edges: 0.24168911820369801209 probability for 10 flipped edges: 0.03222384802110867583 probability for 12 flipped edges: 0.00048821974290039293 state 2047 is least probable with 0.00048821974290039293 state 0 is most probable with 0.00048834995481302020 scramble length: 69 probability for 0 flipped edges: 0.00048833883466004614 probability for 2 flipped edges: 0.03222890572288012431 probability for 4 flipped edges: 0.24170783820484754115 probability for 6 flipped edges: 0.45117174977750864371 probability for 8 flipped edges: 0.24169067145362904007 probability for 10 flipped edges: 0.03222426679552630985 probability for 12 flipped edges: 0.00048822921094829477 state 2047 is least probable with 0.00048822921094829477 state 0 is most probable with 0.00048833883466004614 scramble length: 70 probability for 0 flipped edges: 0.00048832955000797624 probability for 2 flipped edges: 0.03222854135907506735 probability for 4 flipped edges: 0.24170650721173572723 probability for 6 flipped edges: 0.45117177738370041309 probability for 8 flipped edges: 0.24169198627703719366 probability for 10 flipped edges: 0.03222462099442125566 probability for 12 flipped edges: 0.00048823722402236677 state 2047 is least probable with 0.00048823722402236677 state 0 is most probable with 0.00048832955000797624 scramble length: 71 probability for 0 flipped edges: 0.00048832178985908098 probability for 2 flipped edges: 0.03222823378953964457 probability for 4 flipped edges: 0.24170538176386381192 probability for 6 flipped edges: 0.45117179890442427545 probability for 8 flipped edges: 0.24169309917867757316 probability for 10 flipped edges: 0.03222492056848704417 probability for 12 flipped edges: 0.00048824400514856974 state 2047 is least probable with 0.00048824400514856974 state 0 is most probable with 0.00048832178985908098 scramble length: 72 probability for 0 flipped edges: 0.00048831529769391363 probability for 2 flipped edges: 0.03222797413356149210 probability for 4 flipped edges: 0.24170443011317195412 probability for 6 flipped edges: 0.45117181568086925434 probability for 8 flipped edges: 0.24169404109475708233 probability for 10 flipped edges: 0.03222517393665359605 probability for 12 flipped edges: 0.00048824974329270744 state 2047 is least probable with 0.00048824974329270744 state 0 is most probable with 0.00048831529769391363 scramble length: 73 probability for 0 flipped edges: 0.00048830986153896836 probability for 2 flipped edges: 0.03222775490475074373 probability for 4 flipped edges: 0.24170362541703620556 probability for 6 flipped edges: 0.45117182875874591413 probability for 8 flipped edges: 0.24169483823787576911 probability for 10 flipped edges: 0.03222538822151852245 probability for 12 flipped edges: 0.00048825459853387665 state 2047 is least probable with 0.00048825459853387665 state 0 is most probable with 0.00048830986153896836 scramble length: 74 probability for 0 flipped edges: 0.00048830530592798408 probability for 2 flipped edges: 0.03222756979099295122 probability for 4 flipped edges: 0.24170294497985119526 probability for 6 flipped edges: 0.45117183895334657540 probability for 8 flipped edges: 0.24169551281474690891 probability for 10 flipped edges: 0.03222556944867604723 probability for 12 flipped edges: 0.00048825870645833791 state 2047 is least probable with 0.00048825870645833791 state 0 is most probable with 0.00048830530592798408 scramble length: 75 probability for 0 flipped edges: 0.00048830148537877397 probability for 2 flipped edges: 0.03222741346934928228 probability for 4 flipped edges: 0.24170236961199465203 probability for 6 flipped edges: 0.45117184690029184357 probability for 8 flipped edges: 0.24169608363563517875 probability for 10 flipped edges: 0.03222572271546035490 probability for 12 flipped edges: 0.00048826218188991449 state 2047 is least probable with 0.00048826218188991449 state 0 is most probable with 0.00048830148537877397 scramble length: 76 probability for 0 flipped edges: 0.00048829827908637333 probability for 2 flipped edges: 0.03222728145031212720 probability for 4 flipped edges: 0.24170188308797444212 probability for 6 flipped edges: 0.45117185309510902111 probability for 8 flipped edges: 0.24169656663168033247 probability for 10 flipped edges: 0.03222585233378167114 probability for 12 flipped edges: 0.00048826512205603263 state 2047 is least probable with 0.00048826512205603263 state 0 is most probable with 0.00048829827908637333 scramble length: 77 probability for 0 flipped edges: 0.00048829558659508339 probability for 2 flipped edges: 0.03222716994672653649 probability for 4 flipped edges: 0.24170147168838840675 probability for 6 flipped edges: 0.45117185792409774852 probability for 8 flipped edges: 0.24169697529389702082 probability for 10 flipped edges: 0.03222596195102125978 probability for 12 flipped edges: 0.00048826760927394424 state 2047 is least probable with 0.00048826760927394424 state 0 is most probable with 0.00048829558659508339 scramble length: 78 probability for 0 flipped edges: 0.00048829332426048758 probability for 2 flipped edges: 0.03222707576344333207 probability for 4 flipped edges: 0.24170112381271503463 probability for 6 flipped edges: 0.45117186168839914671 probability for 8 flipped edges: 0.24169732104560582490 probability for 10 flipped edges: 0.03222605465234698112 probability for 12 flipped edges: 0.00048826971322919299 state 2047 is least probable with 0.00048826971322919299 state 0 is most probable with 0.00048829332426048758 scramble length: 79 probability for 0 flipped edges: 0.00048829142235068574 probability for 2 flipped edges: 0.03222699620440238326 probability for 4 flipped edges: 0.24170082965196834573 probability for 6 flipped edges: 0.45117186462276379749 probability for 8 flipped edges: 0.24169761355830904126 probability for 10 flipped edges: 0.03222613304729804039 probability for 12 flipped edges: 0.00048827149290770613 state 2047 is least probable with 0.00048827149290770613 state 0 is most probable with 0.00048829142235068574 scramble length: 80 probability for 0 flipped edges: 0.00048828982266611219 probability for 2 flipped edges: 0.03222692899437454074 probability for 4 flipped edges: 0.24170058091195172538 probability for 6 flipped edges: 0.45117186691018527344 probability for 8 flipped edges: 0.24169786101953622649 probability for 10 flipped edges: 0.03222619934305235430 probability for 12 flipped edges: 0.00048827299823376747 state 2047 is least probable with 0.00048827299823376747 state 0 is most probable with 0.00048828982266611219 scramble length: 81 probability for 0 flipped edges: 0.00048828847658113678 probability for 2 flipped edges: 0.03222687221303487833 probability for 4 flipped edges: 0.24170037057928201446 probability for 6 flipped edges: 0.45117186869330941404 probability for 8 flipped edges: 0.24169807035991333755 probability for 10 flipped edges: 0.03222625540642088735 probability for 12 flipped edges: 0.00048827427145833149 state 2047 is least probable with 0.00048827427145833149 state 0 is most probable with 0.00048828847658113678 scramble length: 82 probability for 0 flipped edges: 0.00048828734342955839 probability for 2 flipped edges: 0.03222682423941223753 probability for 4 flipped edges: 0.24170019272356834864 probability for 6 flipped edges: 0.45117187008332934992 probability for 8 flipped edges: 0.24169824744562462187 probability for 10 flipped edges: 0.03222630281630039610 probability for 12 flipped edges: 0.00048827534833548754 state 2047 is least probable with 0.00048827534833548754 state 0 is most probable with 0.00048828734342955839 scramble length: 83 probability for 0 flipped edges: 0.00048828638917114646 probability for 2 flipped edges: 0.03222678370507232081 probability for 4 flipped edges: 0.24170004233015493773 probability for 6 flipped edges: 0.45117187116692005917 probability for 8 flipped edges: 0.24169839724151153645 probability for 10 flipped edges: 0.03222634290805078856 probability for 12 flipped edges: 0.00048827625911921082 state 2047 is least probable with 0.00048827625911921082 state 0 is most probable with 0.00048828638917114646 scramble length: 84 probability for 0 flipped edges: 0.00048828558528839074 probability for 2 flipped edges: 0.03222674945465352803 probability for 4 flipped edges: 0.24169991515870258939 probability for 6 flipped edges: 0.45117187201164435408 probability for 8 flipped edges: 0.24169852394926489188 probability for 10 flipped edges: 0.03222637681103854131 probability for 12 flipped edges: 0.00048827702940770457 state 2047 is least probable with 0.00048827702940770457 state 0 is most probable with 0.00048828558528839074 scramble length: 85 probability for 0 flipped edges: 0.00048828490787222409 probability for 2 flipped edges: 0.03222672051259455574 probability for 4 flipped edges: 0.24169980762361509798 probability for 6 flipped edges: 0.45117187267016711051 probability for 8 flipped edges: 0.24169863112449530691 probability for 10 flipped edges: 0.03222640548039718261 probability for 12 flipped edges: 0.00048827768085852217 state 2047 is least probable with 0.00048827768085852217 state 0 is most probable with 0.00048828490787222409 scramble length: 86 probability for 0 flipped edges: 0.00048828433686318894 probability for 2 flipped edges: 0.03222669605507731948 probability for 4 flipped edges: 0.24169971669293454337 probability for 6 flipped edges: 0.45117187318354038015 probability for 8 flipped edges: 0.24169872177589588077 probability for 10 flipped edges: 0.03222642972389453173 probability for 12 flipped edges: 0.00048827823179415556 state 2047 is least probable with 0.00048827823179415556 state 0 is most probable with 0.00048828433686318894 scramble length: 87 probability for 0 flipped edges: 0.00048828385542071723 probability for 2 flipped edges: 0.03222667538636373086 probability for 4 flipped edges: 0.24169963980285171024 probability for 6 flipped edges: 0.45117187358376417442 probability for 8 flipped edges: 0.24169879844922511591 probability for 10 flipped edges: 0.03222645022465975396 probability for 12 flipped edges: 0.00048827869771479738 state 2047 is least probable with 0.00048827869771479738 state 0 is most probable with 0.00048828385542071723 scramble length: 88 probability for 0 flipped edges: 0.00048828344939819390 probability for 2 flipped edges: 0.03222665791883504616 probability for 4 flipped edges: 0.24169957478541912375 probability for 6 flipped edges: 0.45117187389578259108 probability for 8 flipped edges: 0.24169886329842500873 probability for 10 flipped edges: 0.03222646756040758515 probability for 12 flipped edges: 0.00048827909173245124 state 2047 is least probable with 0.00048827909173245124 state 0 is most probable with 0.00048828344939819390 scramble length: 89 probability for 0 flipped edges: 0.00048828310690551881 probability for 2 flipped edges: 0.03222664315615190101 probability for 4 flipped edges: 0.24169951980742716055 probability for 6 flipped edges: 0.45117187413903976974 probability for 8 flipped edges: 0.24169891814583812782 probability for 10 flipped edges: 0.03222648221969910950 probability for 12 flipped edges: 0.00048827942493841257 state 2047 is least probable with 0.00048827942493841257 state 0 is most probable with 0.00048828310690551881 scramble length: 90 probability for 0 flipped edges: 0.00048828281794416109 probability for 2 flipped edges: 0.03222663067904510604 probability for 4 flipped edges: 0.24169947331871893464 probability for 6 flipped edges: 0.45117187432869272711 probability for 8 flipped edges: 0.24169896453318922811 probability for 10 flipped edges: 0.03222649461569552904 probability for 12 flipped edges: 0.00048827970671431396 state 2047 is least probable with 0.00048827970671431396 state 0 is most probable with 0.00048828281794416109 scramble length: 91 probability for 0 flipped edges: 0.00048828257410236595 probability for 2 flipped edges: 0.03222662013332460356 probability for 4 flipped edges: 0.24169943400848612607 probability for 6 flipped edges: 0.45117187447655672999 probability for 8 flipped edges: 0.24169900376474364916 probability for 10 flipped edges: 0.03222650509779114829 probability for 12 flipped edges: 0.00048827994499537697 state 2047 is least probable with 0.00048827994499537697 state 0 is most probable with 0.00048828257410236595 scramble length: 92 probability for 0 flipped edges: 0.00048828236830034665 probability for 2 flipped edges: 0.03222661121975902500 probability for 4 flipped edges: 0.24169940076831317457 probability for 6 flipped edges: 0.45117187459184218546 probability for 8 flipped edges: 0.24169903694383971024 probability for 10 flipped edges: 0.03222651396145236371 probability for 12 flipped edges: 0.00048828014649319437 state 2047 is least probable with 0.00048828014649319437 state 0 is most probable with 0.00048828236830034665 scramble length: 93 probability for 0 flipped edges: 0.00048828219457706831 probability for 2 flipped edges: 0.03222660368553301015 probability for 4 flipped edges: 0.24169937266092768460 probability for 6 flipped edges: 0.45117187468172902401 probability for 8 flipped edges: 0.24169906500380981927 probability for 10 flipped edges: 0.03222652145653914443 probability for 12 flipped edges: 0.00048828031688424924 state 2047 is least probable with 0.00048828031688424924 state 0 is most probable with 0.00048828219457706831 scramble length: 94 probability for 0 flipped edges: 0.00048828204791168342 probability for 2 flipped edges: 0.03222659731703550234 probability for 4 flipped edges: 0.24169934889377587427 probability for 6 flipped edges: 0.45117187475181441372 probability for 8 flipped edges: 0.24169908873415017819 probability for 10 flipped edges: 0.03222652779434291923 probability for 12 flipped edges: 0.00048828046096942883 state 2047 is least probable with 0.00048828046096942883 state 0 is most probable with 0.00048828204791168342 scramble length: 95 probability for 0 flipped edges: 0.00048828192407387022 probability for 2 flipped edges: 0.03222659193377100199 probability for 4 flipped edges: 0.24169932879667800528 probability for 6 flipped edges: 0.45117187480646174121 probability for 8 flipped edges: 0.24169910880266763562 probability for 10 flipped edges: 0.03222653315353875900 probability for 12 flipped edges: 0.00048828058280898667 state 2047 is least probable with 0.00048828058280898667 state 0 is most probable with 0.00048828192407387022 scramble length: 96 probability for 0 flipped edges: 0.00048828181949830534 probability for 2 flipped edges: 0.03222658738321840508 probability for 4 flipped edges: 0.24169931180293380268 probability for 6 flipped edges: 0.45117187484907263402 probability for 8 flipped edges: 0.24169912577422086825 probability for 10 flipped edges: 0.03222653768521925949 probability for 12 flipped edges: 0.00048828068583672514 state 2047 is least probable with 0.00048828068583672514 state 0 is most probable with 0.00048828181949830534 scramble length: 97 probability for 0 flipped edges: 0.00048828173117930862 probability for 2 flipped edges: 0.03222658353648954750 probability for 4 flipped edges: 0.24169929743334516622 probability for 6 flipped edges: 0.45117187488229899733 probability for 8 flipped edges: 0.24169914012657865255 probability for 10 flipped edges: 0.03222654151715173545 probability for 12 flipped edges: 0.00048828077295659233 state 2047 is least probable with 0.00048828077295659233 state 0 is most probable with 0.00048828173117930862 scramble length: 98 probability for 0 flipped edges: 0.00048828165658236460 probability for 2 flipped edges: 0.03222658028466273826 probability for 4 flipped edges: 0.24169928528270573695 probability for 6 flipped edges: 0.45117187490820829445 probability for 8 flipped edges: 0.24169915226383795450 probability for 10 flipped edges: 0.03222654475737851374 probability for 12 flipped edges: 0.00048828084662439750 state 2047 is least probable with 0.00048828084662439750 state 0 is most probable with 0.00048828165658236460 scramble length: 99 probability for 0 flipped edges: 0.00048828159356977526 probability for 2 flipped edges: 0.03222657753568608170 probability for 4 flipped edges: 0.24169927500837643791 probability for 6 flipped edges: 0.45117187492841238262 probability for 8 flipped edges: 0.24169916252777673841 probability for 10 flipped edges: 0.03222654749726164944 probability for 12 flipped edges: 0.00048828090891693467 state 2047 is least probable with 0.00048828090891693467 state 0 is most probable with 0.00048828159356977526 scramble length: 100 probability for 0 flipped edges: 0.00048828154033815487 probability for 2 flipped edges: 0.03222657521176183786 probability for 4 flipped edges: 0.24169926632062492017 probability for 6 flipped edges: 0.45117187494416794163 probability for 8 flipped edges: 0.24169917120745892480 probability for 10 flipped edges: 0.03222654981405776860 probability for 12 flipped edges: 0.00048828096159045207 state 2047 is least probable with 0.00048828096159045207 state 0 is most probable with 0.00048828154033815487