hist_test.json

{"labels": [["Xenophon", "Cyropaedia", "1"], ["Xenophon", "Cyropaedia", "2"], ["Xenophon", "Cyropaedia", "3"], ["Xenophon", "Cyropaedia", "4"], ["Xenophon", "Cyropaedia", "5"], ["Xenophon", "Cyropaedia", "6"], ["Xenophon", "Cyropaedia", "7"], ["Xenophon", "Cyropaedia", "8"], ["Xenophon", "Cyropaedia", "9"], ["Xenophon", "Cyropaedia", "10"], ["Xenophon", "Cyropaedia", "11"], ["Xenophon", "Cyropaedia", "12"], ["Xenophon", "Cyropaedia", "13"], ["Xenophon", "Cyropaedia", "14"], ["Xenophon", "Cyropaedia", "15"], ["Xenophon", "Cyropaedia", "16"], ["Xenophon", "Hellenica", "1"], ["Xenophon", "Hellenica", "2"], ["Xenophon", "Hellenica", "3"], ["Xenophon", "Hellenica", "4"], ["Xenophon", "Hellenica", "5"], ["Xenophon", "Hellenica", "6"], ["Xenophon", "Hellenica", "7"], ["Xenophon", "Hellenica", "8"], ["Xenophon", "Hellenica", "9"], ["Xenophon", "Hellenica", "10"], ["Xenophon", "Hellenica", "11"], ["Xenophon", "Hellenica", "12"], ["Xenophon", "Hellenica", "13"], ["Xenophon", "Hellenica", "14"], ["Xenophon", "Anabasis", "1"], ["Xenophon", "Anabasis", "2"], ["Xenophon", "Anabasis", "3"], ["Xenophon", "Anabasis", "4"], ["Xenophon", "Anabasis", "5"], ["Xenophon", "Anabasis", "6"], ["Xenophon", "Anabasis", "7"], ["Xenophon", "Anabasis", "8"], ["Xenophon", "Anabasis", "9"], ["Xenophon", "Anabasis", "10"], ["Xenophon", "Anabasis", "11"], ["Xenophon", "Anabasis", "12"], ["Euclid", "Elements", "1"], ["Euclid", "Elements", "2"], ["Euclid", "Elements", "3"], ["Euclid", "Elements", "4"], ["Euclid", "Elements", "5"], ["Euclid", "Elements", "6"], ["Euclid", "Elements", "7"], ["Euclid", "Elements", "8"], ["Euclid", "Elements", "9"], ["Euclid", "Elements", "10"], ["Euclid", "Elements", "11"], ["Euclid", "Elements", "12"], ["Euclid", "Elements", "13"], ["Euclid", "Elements", "14"], ["Euclid", "Elements", "15"], ["Euclid", "Elements", "16"], ["Euclid", "Elements", "17"], ["Euclid", "Elements", "18"], ["Euclid", "Elements", "19"], ["Euclid", "Elements", "20"], ["Euclid", "Elements", "21"], ["Euclid", "Elements", "22"], ["Euclid", "Elements", "23"], ["Euclid", "Elements", "24"], ["Euclid", "Elements", "25"], ["Euclid", "Elements", "26"], ["Euclid", "Elements", "27"], ["Euclid", "Elements", "28"], ["Euclid", "Elements", "29"], ["Euclid", "Elements", "30"], ["Euclid", "Elements", "31"], ["Herodotus", "The Histories", "1"], ["Herodotus", "The Histories", "2"], ["Herodotus", "The Histories", "3"], ["Herodotus", "The Histories", "4"], ["Herodotus", "The Histories", "5"], ["Herodotus", "The Histories", "6"], ["Herodotus", "The Histories", "7"], ["Herodotus", "The Histories", "8"], ["Herodotus", "The Histories", "9"], ["Herodotus", "The Histories", "10"], ["Herodotus", "The Histories", "11"], ["Herodotus", "The Histories", "12"], ["Herodotus", "The Histories", "13"], ["Herodotus", "The Histories", "14"], ["Herodotus", "The Histories", "15"], ["Herodotus", "The Histories", "16"], ["Herodotus", "The Histories", "17"], ["Herodotus", "The Histories", "18"], ["Herodotus", "The Histories", "19"], ["Herodotus", "The Histories", "20"], ["Herodotus", "The Histories", "21"], ["Herodotus", "The Histories", "22"], ["Herodotus", "The Histories", "23"], ["Herodotus", "The Histories", "24"], ["Herodotus", "The Histories", "25"], ["Herodotus", "The Histories", "26"], ["Herodotus", "The Histories", "27"], ["Herodotus", "The Histories", "28"], ["Herodotus", "The Histories", "29"], ["Herodotus", "The Histories", "30"], ["Herodotus", "The Histories", "31"], ["Herodotus", "The Histories", "32"], ["Herodotus", "The Histories", "33"], ["Herodotus", "The Histories", "34"], ["Herodotus", "The Histories", "35"], ["Herodotus", "The Histories", "36"], ["Herodotus", "The Histories", "37"]], "data": [[-2.220446049250313e-16, 0.029146179862663768, 0.038878846118209576, 0.042122518016093013, 0.06989370694126962, 0.039906046069375756, 0.046824979291737345, 0.03594613109562095, 0.04704807760802676, 0.054302585513934964, 0.03225980763254599, 0.03654697230719062, 0.02557668603611929, 0.03432305470681618, 0.03446842448305021, 0.032800776294946266, 0.07809009210264573, 0.07743399348275737, 0.04380105844770876, 0.03448290446033819, 0.04441707695448893, 0.07720660853740247, 0.050978694161871396, 0.05495123625055365, 0.07690188826150812, 0.04899485595999942, 0.07559790344210915, 0.061885620082769766, 0.09493507793284428, 0.0979691497278874, 0.041667636272787245, 0.03207796506551841, 0.036368386025098176, 0.0411032052866086, 0.07356955315757285, 0.05032615308330102, 0.056094534666981444, 0.030905213617978156, 0.05237166452441688, 0.03809075020660735, 0.030636784825959662, 0.05466414744544279, 0.518300520214082, 0.46964976898923083, 0.5219084685910663, 0.49104187903217456, 0.5147824497680147, 0.4684422994104338, 0.42833999526961186, 0.5689944562736586, 0.6178153803708006, 0.5157095853965475, 0.3947244815254384, 0.5275309861155657, 0.525628972877522, 0.5513800001508399, 0.5120097367240832, 0.45572736202629416, 0.47511965894477304, 0.5562840772664713, 0.5527193641101595, 0.48249370429983285, 0.5680667815287725, 0.5565878817379266, 0.5252633227910882, 0.4244901562102106, 0.4437357060884318, 0.4664317371238085, 0.46090957717005854, 0.4194549275237923, 0.442238431310759, 0.4844590969180861, 0.5428743617391576, 0.15963433876129374, 0.12166277388269553, 0.11687521453142036, 0.09798966475204884, 0.1243080482084371, 0.1334562894836191, 0.1268740564012839, 0.12212334472132869, 0.1251088237774195, 0.15331577030314103, 0.1213215335714648, 0.13822138780482496, 0.14628887791729195, 0.09387276809506162, 0.14967229837483165, 0.15555393722153454, 0.12208576774291169, 0.14562447612698637, 0.1945962361677238, 0.11307473258612244, 0.13072585141306825, 0.1519763852135554, 0.1648719299493958, 0.15088271076277204, 0.1742588386210593, 0.12308139356405634, 0.14673129104937943, 0.137457170291706, 0.16405869216904057, 0.12785677069585766, 0.13156347201511664, 0.16223420402960997, 0.14334795541081669, 0.15224876503264362, 0.12956482204309372, 0.1436324139160159, 0.10031061351961612], [0.029146179862663768, 0.0, 0.033366215856883374, 0.030213293136618358, 0.05111716315586645, 0.04322011565037054, 0.051294467490557105, 0.03104885394705037, 0.04964772388963823, 0.05072198659785365, 0.03262336104203467, 0.035957122743273784, 0.033976973716312586, 0.04210296719150064, 0.035149707209530034, 0.047677380096173394, 0.09805684313976093, 0.10198036148263823, 0.055283559625717515, 0.05170069749435291, 0.056151654606470536, 0.09439797085915724, 0.06892671035341624, 0.07065265937155196, 0.09175833838951364, 0.06270349181175305, 0.09175384342861803, 0.07178734897779415, 0.11074364253428692, 0.11770484695119532, 0.06136637971063097, 0.04577253893104227, 0.059366894668362535, 0.05400986938373464, 0.09128723838212105, 0.06310669135059155, 0.07333967194848856, 0.04879702407050257, 0.06853191681745785, 0.05305396340978363, 0.03979763496231292, 0.05953848826336017, 0.5535250336320299, 0.5048304235652066, 0.5354045886897463, 0.5168634707948712, 0.5512209666113411, 0.4930839406024682, 0.4416640931909881, 0.5668264083340833, 0.6337957276208654, 0.5257887105249412, 0.4022674932520437, 0.5296926546914038, 0.5221120977434295, 0.5548181501975373, 0.5208533891530258, 0.46232681593237257, 0.49297838987649556, 0.5641493748510118, 0.5638170379536082, 0.5003716130609446, 0.5817932842590857, 0.5756286098811566, 0.5457791507448764, 0.44737960461214465, 0.4614602206993431, 0.48069877487894497, 0.47628870382478206, 0.4296780721709804, 0.4666889556640468, 0.5036905429629077, 0.5679731369270877, 0.18488385754539305, 0.1464393291198932, 0.1403726843477313, 0.11873019393004336, 0.15139824799379342, 0.1638847392458085, 0.1504973303585373, 0.152415849837632, 0.15102543514259725, 0.17360418811321132, 0.14740698020325604, 0.1665216104543351, 0.1655386022363764, 0.12383626055465491, 0.16801700365235173, 0.1885111187865045, 0.15157695283061057, 0.16481006536715526, 0.22980601803675482, 0.13706038930218511, 0.15574318173746515, 0.17508352550594275, 0.18475364052279453, 0.17467952915609364, 0.19869895228290013, 0.14170492052352934, 0.16799508191965395, 0.17348858240368104, 0.18145720741692506, 0.146439598269546, 0.15480988855628708, 0.18134154427031313, 0.1539595701864459, 0.17215202539128316, 0.15005869605930577, 0.15086747492922725, 0.11494194544500136], [0.038878846118209576, 0.033366215856883374, 0.0, 0.037661503518198636, 0.07118911570599784, 0.049651462106919064, 0.04721020479148996, 0.03836667657801984, 0.04627135079799427, 0.04797799339042863, 0.04018817210553227, 0.04315943045048154, 0.037535699356238905, 0.03772356738009652, 0.044237108557877436, 0.04413060610042674, 0.09103428535701763, 0.09575727701294956, 0.05019657554512913, 0.05950304653431571, 0.05665088246933525, 0.08820230439723697, 0.05986853605624387, 0.0703960829126391, 0.08847495520130522, 0.0510997222212245, 0.08605475588951572, 0.06500971099750386, 0.10956549732779586, 0.09665993966045117, 0.06845931101990088, 0.054658118458906335, 0.060185472937661855, 0.048395712619360265, 0.09141275433766227, 0.06682097980028145, 0.08200027112432129, 0.04997937043538114, 0.0714681747373489, 0.057729238516707415, 0.05108249237873519, 0.06884039054232416, 0.5357379133984566, 0.4875873311965029, 0.5185953662713969, 0.49632837280408926, 0.5387419738838063, 0.47786484286954145, 0.4106555968868797, 0.5163092826592824, 0.6004536433103573, 0.4910108998205164, 0.40996159564819845, 0.5588487083457316, 0.5518128111898954, 0.5907838955898732, 0.5506097221098325, 0.43837532786213074, 0.4712949682595212, 0.53455726064969, 0.5412746758878009, 0.4834871544284943, 0.5554954329557483, 0.543961050994812, 0.5146320974596681, 0.42589246469597164, 0.44260437253074336, 0.43829372103463504, 0.43337837387092926, 0.404880900306527, 0.4459236936455828, 0.4962245207840361, 0.5600425710657333, 0.1916369600281984, 0.1526334510262808, 0.14786223039565538, 0.1320266508170126, 0.15646253040468538, 0.16610521545073054, 0.1475571107245277, 0.1530708574337486, 0.15896413227804185, 0.1840715404166653, 0.1525154511134188, 0.17586495378007472, 0.17676809222373469, 0.11955821147240797, 0.17741869258778198, 0.18309581096718575, 0.16206454232658218, 0.16416509741259255, 0.23290122284140347, 0.1371255532387251, 0.17156288886511395, 0.17465058366833397, 0.18274019542586484, 0.18062466275537925, 0.193514802626089, 0.14944142820882111, 0.17658456379549559, 0.17870418390266862, 0.17227290436837528, 0.15427611353299375, 0.15822468011130375, 0.1740835410130812, 0.15097950983962083, 0.17914833235284733, 0.15922302591506998, 0.1503062636901844, 0.12836453164972061], [0.042122518016093013, 0.030213293136618358, 0.037661503518198636, 0.0, 0.037804719396117625, 0.04265387630351225, 0.057298444128217274, 0.030823027937421532, 0.034527455021640896, 0.039181418362156495, 0.04576332367780023, 0.040083518071066804, 0.03981707429652448, 0.0505242539682218, 0.03451066472482789, 0.06551656347774448, 0.11931142032754982, 0.11939749272563249, 0.06928605439750335, 0.0537850019925773, 0.05707300015188588, 0.09978632392936804, 0.07041032393927638, 0.08699780886439079, 0.10170354921948954, 0.07148437605703117, 0.09768947625262792, 0.08703972840265539, 0.13486272793532017, 0.12821988580186472, 0.0754293268652444, 0.059720190724894096, 0.07448107061264819, 0.0665335468869408, 0.10383972790945017, 0.07760130555482758, 0.09572534817124523, 0.06343160572281104, 0.07823798427133744, 0.04808522036607654, 0.04257491890280962, 0.06454701497325266, 0.5384913313192656, 0.4936930623196699, 0.5329948248216868, 0.5084502482963875, 0.5393476046287402, 0.48421633697209454, 0.42967391415679224, 0.5441879259729762, 0.6106132074199039, 0.5005554734178628, 0.36294410747793804, 0.5009542440841324, 0.4963351831401188, 0.5182246335518754, 0.4788504784940518, 0.4263132796721695, 0.4748244238384933, 0.5524622479144634, 0.5366995326558498, 0.48830400531669604, 0.569145996482183, 0.552632097819453, 0.5296825062653857, 0.44365573200996944, 0.4540521318279983, 0.4617754427395644, 0.4582678424133354, 0.3926751009797016, 0.44757105557918553, 0.4928565812668326, 0.5657708274898932, 0.20852691625454345, 0.17099042101857498, 0.16661941936603153, 0.15352001423239647, 0.18845302415269294, 0.19067357310431254, 0.176811798502433, 0.20032978872022122, 0.1875179320135012, 0.20966324261159375, 0.18110577316061927, 0.19844654689863228, 0.18806606006405757, 0.15196729562990308, 0.19273850155470884, 0.21681074341904782, 0.18276052612750948, 0.20060466659804554, 0.26417454695183296, 0.1687265884111312, 0.18730908503672872, 0.21074329134754954, 0.21024251310237008, 0.20288341404166976, 0.22367377037604297, 0.17269280601128922, 0.1920476626649953, 0.21953841577102884, 0.20233150312478299, 0.16916841149616535, 0.18847856830729692, 0.21054395808799165, 0.1829992659711447, 0.1941935639464598, 0.18585545876199083, 0.177418239014976, 0.14847397309126353], [0.06989370694126962, 0.05111716315586645, 0.07118911570599784, 0.037804719396117625, 0.0, 0.08457827308062549, 0.0704157203814838, 0.04069563255501929, 0.04508381958702523, 0.04262186755814501, 0.061235975321689895, 0.062065452010631406, 0.07275883111300174, 0.08890696591960401, 0.04301539289034417, 0.11115624734104512, 0.16045376255222255, 0.1635208005378067, 0.11263976380676477, 0.09012081206908895, 0.08812286107733724, 0.1378154168324467, 0.11860050388550314, 0.12125823443683459, 0.13626946641083593, 0.11006367318321075, 0.14173122799299231, 0.13202758834821804, 0.16624706326794159, 0.16518017504522609, 0.1124820122248652, 0.10405998894573965, 0.09396012921130736, 0.09794840010357653, 0.1494747589672193, 0.12298935798657307, 0.1450131934914587, 0.09343763413797701, 0.11720807379933085, 0.08123007183781727, 0.06939753847783015, 0.09490356624832064, 0.5837122908958805, 0.5482708571252725, 0.5897357858079388, 0.5614416906328904, 0.588820705093638, 0.5393438114325946, 0.49905378130858424, 0.6157402076636898, 0.6505761096509053, 0.5630129773189598, 0.35750552037338523, 0.5021077303690111, 0.5057392286401053, 0.5144500031136878, 0.4635099797049518, 0.4770188096797313, 0.5307851117900424, 0.6124465689582346, 0.6042084759035122, 0.5598974404585334, 0.6203046851457008, 0.619325859101481, 0.5930093798388949, 0.5180052086124938, 0.5151722169754749, 0.5305618007268107, 0.512848465774307, 0.42829015991394215, 0.5212907983834485, 0.5548816235560554, 0.6119022807019522, 0.20959786831417193, 0.1837299609065971, 0.1747652037702172, 0.15623232562333622, 0.2018763019328228, 0.19454648080809256, 0.19573261763143568, 0.21823324911993858, 0.19732949451892567, 0.23072058185392474, 0.20169140055674495, 0.19302917703300437, 0.18380474961644022, 0.1806782948857435, 0.18491317001234342, 0.2383378054608657, 0.1921243419629204, 0.21284281120238657, 0.26954082448917915, 0.18674942337037548, 0.18990886894867542, 0.22331103197029234, 0.2108138779208677, 0.2014545002624586, 0.2269457545737873, 0.17976887092680294, 0.20579530589287365, 0.2194727687982212, 0.21994824442151284, 0.19496295110063266, 0.19910478280721355, 0.23102373894956652, 0.2043597948190916, 0.19624945348033074, 0.19799761483282918, 0.20013296369306366, 0.1704076273352324], [0.039906046069375756, 0.04322011565037054, 0.049651462106919064, 0.04265387630351225, 0.08457827308062549, 0.0, 0.037780392277055985, 0.04424713903081334, 0.05541443982567473, 0.05753599824813915, 0.04222293834464219, 0.03641315242896814, 0.027817566288493523, 0.03722290678798168, 0.0516298974360746, 0.039235244207095676, 0.09776103950535864, 0.10092266966745045, 0.04302173001747622, 0.047053675191551014, 0.050969993714419015, 0.0697045375775962, 0.05285738732429812, 0.0547817165297898, 0.0838126914379036, 0.05100702398100787, 0.06856646574969016, 0.057126159510688335, 0.09410105945184966, 0.09177414518843396, 0.06345064396564792, 0.03835175081442843, 0.058045333453912495, 0.0414683024953898, 0.07071141537616088, 0.05369858488947099, 0.05023566779169142, 0.04154684902754413, 0.05796495579887728, 0.04636161550968665, 0.0395775313072263, 0.059639902462351735, 0.5478775474098996, 0.4928899496504282, 0.5330871693821331, 0.5259550336241017, 0.5538540262939413, 0.49815634262387243, 0.4354677842011878, 0.560873530714312, 0.6399911467169273, 0.526141286685186, 0.4375806851132392, 0.5818687789109926, 0.5831667514227832, 0.610363480904978, 0.5656164113471756, 0.4813887610685712, 0.49917364964407285, 0.5672397175857433, 0.5755557232607649, 0.4940624844711754, 0.5939562935695586, 0.5721983158735923, 0.542055835225157, 0.4520273640624116, 0.4603530872670395, 0.47699669256764654, 0.4833518008718585, 0.45415227724722795, 0.4607608449407907, 0.5048892116761061, 0.5758300071312151, 0.2155727531589604, 0.16704859110026316, 0.15923427333218187, 0.14609421604374562, 0.16901508570546664, 0.19044743946658782, 0.17266739324677705, 0.17569120582508702, 0.18476956694506874, 0.21058936739015466, 0.17207979778294125, 0.20424673820760786, 0.20061043970768, 0.135329054157734, 0.1933579064040416, 0.21574712109368255, 0.1780409999137551, 0.1849975428899726, 0.25792511191071366, 0.14592663109070092, 0.1788065772320091, 0.18845124200730523, 0.20806235137527385, 0.2028827506027504, 0.21303585799017066, 0.16191095026948954, 0.19446924877418614, 0.1928938868461263, 0.2017618385552642, 0.159974001768302, 0.16750261331990546, 0.1869759803809795, 0.1657135387718779, 0.1946593645030963, 0.1699301179032442, 0.15646170533243986, 0.12933456319432912], [0.046824979291737345, 0.051294467490557105, 0.04721020479148996, 0.057298444128217274, 0.0704157203814838, 0.037780392277055985, 0.0, 0.041661894426669455, 0.04690989697573211, 0.04293035022527969, 0.037423865132079515, 0.034670391425026925, 0.035389254943751225, 0.04249344507459063, 0.05146267596952414, 0.04949592956731086, 0.10766077798562279, 0.1091926298762903, 0.04257125547672713, 0.06565189149979778, 0.05847751542453539, 0.06641121843241526, 0.07287595773921873, 0.05908849200582311, 0.07493450169537041, 0.057014422788260855, 0.0732310691488538, 0.055444172451209806, 0.08095298218353253, 0.08001340737173135, 0.07330815600407559, 0.058949392786387333, 0.041588639151282636, 0.03189060497334162, 0.07334167064706032, 0.06519021962427896, 0.07004747555698876, 0.04010923275100853, 0.05791792920228267, 0.05986461603145432, 0.042698151619576685, 0.08481884877759305, 0.5720446289752114, 0.5326932487033752, 0.562127785315883, 0.5429783138140771, 0.5771811857782729, 0.5298260497059288, 0.46947525790315126, 0.5805915013980424, 0.6548774870887171, 0.5538332099035348, 0.44349073762631774, 0.5682904892525227, 0.5723619310656876, 0.60290926024096, 0.5553800788720347, 0.4945917829404304, 0.5226561130923297, 0.58414296790434, 0.5980528220762631, 0.5342843434795645, 0.6017305060518685, 0.5955790484664412, 0.5632338058613375, 0.48332642889522237, 0.4914617908650405, 0.4973559006979895, 0.49339378935300615, 0.4613813062149654, 0.5092213542572942, 0.5493571063082792, 0.5964387470657256, 0.18342335749900873, 0.14191448923889538, 0.13769441537481464, 0.11713460029044087, 0.14117926546479853, 0.1569323410368384, 0.14803240697012943, 0.14480397085800545, 0.14956209566213896, 0.18185957141031162, 0.1475842269094435, 0.15469715330830391, 0.15870613075869766, 0.11427371216437299, 0.1560489243282973, 0.17906833756519058, 0.1515767611966975, 0.14692935341141122, 0.21406570431395056, 0.11786453903559335, 0.14959905546702124, 0.15839003562478715, 0.16751471472793045, 0.16604753462548383, 0.16923373867089175, 0.13992545243957843, 0.1751523273066964, 0.15595979179509234, 0.1766063582924151, 0.15045592657635354, 0.14042052992502518, 0.16424949714095027, 0.14412100110047166, 0.16929431678418438, 0.1426700755579079, 0.14259095150433254, 0.1208860037086118], [0.03594613109562095, 0.03104885394705037, 0.03836667657801984, 0.030823027937421532, 0.04069563255501929, 0.04424713903081334, 0.041661894426669455, 0.0, 0.04012298769577216, 0.031981762790617596, 0.035404869461306165, 0.04028961686129695, 0.0346596286794264, 0.03773776964454123, 0.03629614990956398, 0.04910386869462924, 0.11765550122083934, 0.11997492213277172, 0.0647928270040301, 0.05652592450985594, 0.06142504661602244, 0.10177769194752984, 0.07957657231487902, 0.08202634518848817, 0.1115809863010978, 0.05999370835988771, 0.10449433614020454, 0.08777704676955, 0.13038392104844998, 0.12215991452221331, 0.06845704239590678, 0.059521583247917675, 0.0510860843496409, 0.049285786999106906, 0.10825113277268728, 0.0808014571072655, 0.09496632130595128, 0.04681898390232864, 0.07417436024798463, 0.047812047836397475, 0.03792743463835624, 0.05811329433130641, 0.5533688132264931, 0.5088165894557949, 0.5653587807237095, 0.53872083366274, 0.5602101294621755, 0.519378104716749, 0.4649701439894509, 0.5833626126427027, 0.6293401919412602, 0.5260343446140703, 0.4152114277848522, 0.5689428709817277, 0.56286212234645, 0.5856660172351367, 0.5478355198869276, 0.48455486748186305, 0.5076419971398661, 0.5945769810900942, 0.5896368007014787, 0.5230384840872933, 0.6071918880439033, 0.5911707927692568, 0.5603338359588161, 0.4708132584355956, 0.4810502313600097, 0.492962025819107, 0.48196140388491804, 0.43806856470904054, 0.48459517000290797, 0.5226110128856167, 0.585617075899731, 0.19259664902921791, 0.16101655070845355, 0.1518743424318919, 0.13497620926646703, 0.16934099909341627, 0.17065617400909439, 0.1609223981481327, 0.1727028966708023, 0.16949859862759975, 0.19886777145202827, 0.16862248395088109, 0.17708313771412376, 0.18123348929851546, 0.13690752669953576, 0.17736513954377842, 0.19665630899846864, 0.1637058411307214, 0.17452893194913877, 0.24722811003735978, 0.15072717216924714, 0.17140014187970665, 0.19182659789634238, 0.19495517978064003, 0.19223650616981758, 0.21047922484024628, 0.14926091585297074, 0.17377265135331843, 0.17998672099946178, 0.18978452315080185, 0.163622229676623, 0.17076718757228893, 0.19802216093481773, 0.1710628947722057, 0.1800880125283827, 0.16588762270032675, 0.1659828435004611, 0.13589126832208342], [0.04704807760802676, 0.04964772388963823, 0.04627135079799427, 0.034527455021640896, 0.04508381958702523, 0.05541443982567473, 0.04690989697573211, 0.04012298769577216, 0.0, 0.029652186242263845, 0.04050486092553274, 0.03764855297945835, 0.03581434367214864, 0.06079444097504627, 0.03411621637678375, 0.07324590216743332, 0.10219354966774818, 0.11285139118134635, 0.05780268139959188, 0.04726866538231955, 0.0446299696998218, 0.0776974508814049, 0.06207186778356899, 0.0708152171804558, 0.07866566394824592, 0.06408350116345318, 0.08028191495242964, 0.07683496125255018, 0.10439489830935256, 0.09025340711215468, 0.0716667409774614, 0.05956476954961043, 0.061595129093156786, 0.0536246150214994, 0.0967442773243099, 0.0747350615063338, 0.10024420875105966, 0.059382470037675716, 0.07200632470570101, 0.04934228163005849, 0.044841462157845347, 0.08583797169267682, 0.5364026935781114, 0.5062676684442915, 0.5216737784396527, 0.4938404827729085, 0.5296583878179271, 0.47531860772867895, 0.4158162164627961, 0.5277350608609023, 0.6013699719328265, 0.49364853670122866, 0.3550084956904228, 0.5151277616165981, 0.5117277852866582, 0.5360688853827031, 0.4855023612025453, 0.42125418593812336, 0.46815220706774086, 0.5438682835306461, 0.5398384192606591, 0.4928423491486177, 0.5569388634403867, 0.5354920914174124, 0.5136164116532903, 0.4488194335670349, 0.46256436218649377, 0.4480476728500068, 0.43148005362266495, 0.3732949879957266, 0.4505486434110232, 0.4987502601305026, 0.5533542448365394, 0.171376066999534, 0.13638851575299915, 0.13146661849821972, 0.1205077229887559, 0.15509912945313586, 0.1536510945296815, 0.1451762316925963, 0.16912232655345194, 0.15106616368535886, 0.178435873581976, 0.14553750859931713, 0.15151724187770266, 0.15299808789293068, 0.12597562851947142, 0.15586800794214206, 0.18085844708425303, 0.14741658741660946, 0.17119307038642395, 0.2149712914596742, 0.1409975027691862, 0.15564505689507335, 0.17079736405283696, 0.16821434603135765, 0.15671626632195068, 0.17385519316878484, 0.1427743705036555, 0.1683136064281967, 0.16786236133125587, 0.17238282057505416, 0.14823691822434093, 0.14888043552427999, 0.17614020881378512, 0.15540236693259346, 0.1650494278614265, 0.14799028448059115, 0.1533461678067597, 0.12993809676929247], [0.054302585513934964, 0.05072198659785365, 0.04797799339042863, 0.039181418362156495, 0.04262186755814501, 0.05753599824813915, 0.04293035022527969, 0.031981762790617596, 0.029652186242263845, 1.1102230246251565e-16, 0.03953531375055164, 0.043586117318679674, 0.042637610194726006, 0.05474781420056174, 0.04209885149274695, 0.07261426042777541, 0.1311673460144548, 0.13386024381266437, 0.06937770719292147, 0.06769672674051153, 0.06487677591940266, 0.09479721878089975, 0.08034689199308809, 0.08135882632681102, 0.09306287928179435, 0.06572393255354936, 0.09554011490676018, 0.08353768036882336, 0.11893591117439217, 0.10446799982590116, 0.08850368789832719, 0.07018186449571484, 0.06170802278311194, 0.056942698860708574, 0.11146595395997883, 0.09673922080780994, 0.11333813279801286, 0.06354705905524849, 0.07960883853716372, 0.05840764079288485, 0.05011803965914963, 0.07711502166942663, 0.541218489958167, 0.5094027482375483, 0.5347176525930771, 0.5089039210803726, 0.5475872409956373, 0.4983544967138356, 0.44384118513871906, 0.5563406833234015, 0.6067989581862042, 0.5090793452309071, 0.39750086807465423, 0.5480302086962279, 0.5465341298311825, 0.5689852873291754, 0.5176546833210606, 0.45489285449883754, 0.4856056051410136, 0.554666996761033, 0.5645151771737603, 0.5071932664369223, 0.5733116032174951, 0.5582333135969798, 0.5307492573412507, 0.4694590431188208, 0.4721011451784537, 0.46367854984166, 0.454451513763104, 0.4060242060369722, 0.47412777737671485, 0.5164936261915993, 0.5713621330917, 0.17141387651534012, 0.14462258913215564, 0.13860465935242072, 0.12780031308420425, 0.16045570738475157, 0.15547764058742386, 0.15045349017873133, 0.1760862862156123, 0.16093903907302964, 0.18835550184692573, 0.16332957876583243, 0.16134550354197297, 0.15939316925824043, 0.13045841620842136, 0.15549978086157257, 0.18712733700389983, 0.1645919327953811, 0.16637528320200534, 0.23116392952879117, 0.14536189696359147, 0.16223642677865535, 0.17849438139640217, 0.17338472868223687, 0.17092530790582605, 0.18298373191056183, 0.13932293794523654, 0.1610844124039298, 0.1804461269302613, 0.1660249672533698, 0.15080272760852165, 0.15208632992344973, 0.1793320826918462, 0.14538804841699382, 0.16012581155675276, 0.1550539011905453, 0.1520579191783542, 0.13406137732515777], [0.03225980763254599, 0.03262336104203467, 0.04018817210553227, 0.04576332367780023, 0.061235975321689895, 0.04222293834464219, 0.037423865132079515, 0.035404869461306165, 0.04050486092553274, 0.03953531375055164, 0.0, 0.02256626839076481, 0.026003335777773695, 0.03687142642048924, 0.03097726561493641, 0.038932576655822726, 0.07005397727397311, 0.0776899290831442, 0.037574805057049576, 0.04006003303107597, 0.04481492731515946, 0.07040725179088403, 0.05035399632706827, 0.04448966026568846, 0.06369172000815604, 0.04517677121163233, 0.06771719615489824, 0.05000287487112354, 0.07982426020290345, 0.09436767818045311, 0.043727452838303815, 0.03934962704793499, 0.038522584940793636, 0.03358769002051831, 0.07034254130384021, 0.04669045288574081, 0.054776556329016235, 0.03889551758185461, 0.04671605028877224, 0.039545072535094095, 0.03345805314519512, 0.06479515332579033, 0.525277848804776, 0.486473449430878, 0.5117967675437716, 0.49459431442529755, 0.5303299703086549, 0.477346689454051, 0.45137141813373605, 0.5875998340153321, 0.6124608635312954, 0.526264709643266, 0.4019941283607864, 0.5481523459739782, 0.5465707154710464, 0.5768273939295259, 0.5279013714874037, 0.4782406977361543, 0.4834924357686039, 0.538583532252281, 0.5675248346399814, 0.487070917978192, 0.565817765152409, 0.5695794424165648, 0.5274875134638612, 0.44165674695871426, 0.45028471506286705, 0.46976513648664286, 0.46845180891719973, 0.4288468459365289, 0.4651388481128107, 0.49519137983260386, 0.5508937423721207, 0.1580788836321959, 0.11781343633042318, 0.11189927048204928, 0.09691347653772664, 0.1210086011203576, 0.13387405181080847, 0.1219308640043606, 0.12857767745314153, 0.1295730180929422, 0.1470244653698145, 0.12788480216432596, 0.13826580727640325, 0.14284910292410757, 0.09527123390851877, 0.13296650431198453, 0.1591025145919418, 0.12017287399714494, 0.12777795326899943, 0.19026353519692474, 0.102858587549287, 0.12328856588411341, 0.14639983885465913, 0.14500812878217328, 0.1434554282294006, 0.15718394817854509, 0.11469864374871352, 0.141328101284251, 0.1373099657035216, 0.14581193234772216, 0.12261880379866341, 0.12593949763352008, 0.14636428233828402, 0.11968624813717599, 0.1420701616636204, 0.12306157855266375, 0.12272886285567597, 0.0936755531498481], [0.03654697230719062, 0.035957122743273784, 0.04315943045048154, 0.040083518071066804, 0.062065452010631406, 0.03641315242896814, 0.034670391425026925, 0.04028961686129695, 0.03764855297945835, 0.043586117318679674, 0.02256626839076481, 0.0, 0.02449839250860908, 0.04491693530460983, 0.031693451951023355, 0.042401205737262804, 0.07361279444442137, 0.07191049136671945, 0.03658899115779801, 0.03614062391721795, 0.038704893213518665, 0.05316223950053445, 0.04692104748803938, 0.044829962534309264, 0.058085487280539194, 0.04662213827374806, 0.05674609287374133, 0.04540714913955857, 0.07357281577919506, 0.07834654017906595, 0.04748062997465041, 0.03716088117261951, 0.045118856843630706, 0.03809997990463543, 0.06170620538211413, 0.04359588204777043, 0.055972359196660215, 0.04394772029399441, 0.05061554411937752, 0.04218104390592714, 0.03466104106967849, 0.07204138698188889, 0.5213037020871876, 0.4839880521199149, 0.504201514600942, 0.48968027906765177, 0.523902397793702, 0.4673170213542738, 0.4418811784000991, 0.5672418579075621, 0.5986934384388733, 0.5070339493537481, 0.3981461727298141, 0.5353466059760014, 0.5360082970342007, 0.565885700976432, 0.5157155259991031, 0.4619825850614089, 0.470980762424251, 0.5250650991486883, 0.5486750109529811, 0.4807737221839743, 0.5494639647745199, 0.545835766115198, 0.5108258785700296, 0.434468043922708, 0.443747413071377, 0.45369192012922377, 0.45774623724878627, 0.41914405974204516, 0.44778235197255956, 0.4877676576824591, 0.543357613479342, 0.16584371931488973, 0.12325676865805768, 0.11579664898933861, 0.10643197566299523, 0.1290908848838106, 0.1395785998415755, 0.12925749670345987, 0.13485890530025146, 0.13496454684400738, 0.15728733962658914, 0.13135179068985847, 0.14854711748605132, 0.1481291752155247, 0.10480986194594766, 0.13484432282497638, 0.1635967896779026, 0.12994486708347996, 0.13747215374947774, 0.19525830168438385, 0.10585204044465757, 0.13217773396743782, 0.15179365190972327, 0.15232920994992394, 0.14510859754247019, 0.1601676054959441, 0.12691325401022646, 0.15409247099265055, 0.14866293499790317, 0.15655121917154535, 0.1294975265647611, 0.13334825789760218, 0.15062312812630574, 0.12977422249629067, 0.15393741033818042, 0.13354873885256324, 0.12495828519494923, 0.10193128001222318], [0.02557668603611929, 0.033976973716312586, 0.037535699356238905, 0.03981707429652448, 0.07275883111300174, 0.027817566288493523, 0.035389254943751225, 0.0346596286794264, 0.03581434367214864, 0.042637610194726006, 0.026003335777773695, 0.02449839250860908, -2.220446049250313e-16, 0.03492495682687935, 0.030828220095546643, 0.02939636013864244, 0.06533013910655383, 0.0696705660558663, 0.03146308579860846, 0.025478542556372497, 0.031963507272844804, 0.0513964350842564, 0.03675463511399912, 0.03848249485231081, 0.05885354627650574, 0.03481059335884917, 0.05181322149319123, 0.04438384853532018, 0.07574603275500369, 0.07161233024117908, 0.0347161126325215, 0.024813922191802007, 0.034135027651301386, 0.030492319698794956, 0.05522003773158779, 0.03740831559262969, 0.04610266293729692, 0.03074508859500591, 0.03580265853939524, 0.029507207049018658, 0.032805813860948274, 0.059267644287858356, 0.4966497842156319, 0.45748222735736255, 0.4976021193207545, 0.46489363375051684, 0.5011016419407415, 0.4548756042642913, 0.4048652407802965, 0.5272649707643791, 0.584921215958878, 0.47668895404855327, 0.40507304497844876, 0.5700662290809988, 0.5655650365682205, 0.5943723364145337, 0.5532345080403127, 0.444702688159623, 0.44727261713662303, 0.52971567764923, 0.5298270454815961, 0.4568242671137085, 0.5416194565140573, 0.5233541549094143, 0.4901639385691151, 0.4079157266654314, 0.42654168927063085, 0.4274352924220328, 0.4195585970927954, 0.4015004914454624, 0.4131690210770411, 0.4527299324851586, 0.5128012001766398, 0.15847187574364352, 0.11446749006593093, 0.10428831103651082, 0.0996616779336219, 0.11727513612594953, 0.12828454763032815, 0.11444864196266091, 0.1216010853241063, 0.1228065191587785, 0.15225781413764083, 0.11585647490915651, 0.14131852146276547, 0.1500533952008989, 0.09202200339006383, 0.14161154437446022, 0.14462641941956844, 0.11963769778827449, 0.12914725026357865, 0.1884947686612567, 0.10096742696501071, 0.12847412337947717, 0.13752077112478456, 0.1506114786884608, 0.14236968177476395, 0.15748864418831854, 0.11252787756502969, 0.13904780583355847, 0.1323698958048849, 0.14958844775086722, 0.11931333988323478, 0.12526374346488212, 0.1426805093638236, 0.1279310075747898, 0.1468610588270941, 0.1213507772240845, 0.1224871068720591, 0.09184980056167569], [0.03432305470681618, 0.04210296719150064, 0.03772356738009652, 0.0505242539682218, 0.08890696591960401, 0.03722290678798168, 0.04249344507459063, 0.03773776964454123, 0.06079444097504627, 0.05474781420056174, 0.03687142642048924, 0.04491693530460983, 0.03492495682687935, 0.0, 0.04961691419808811, 0.03192884555751707, 0.10346162535723868, 0.1023016605074567, 0.04778128043426255, 0.05735612189496886, 0.06598210614226752, 0.08984381353192372, 0.06538833963835322, 0.06324930675296947, 0.09278628862999538, 0.04678748947683764, 0.0846313536907003, 0.06416229370255644, 0.10398402618307334, 0.09618212778664892, 0.06442395294795222, 0.04717849802675089, 0.05355467607727449, 0.033518402590826724, 0.09259110504150359, 0.06758494674688353, 0.07200390943854451, 0.04338695980835028, 0.06628235324097198, 0.05488382145632742, 0.048492954189533255, 0.06250510793930031, 0.5428271457917896, 0.4948108478142317, 0.5241483337595725, 0.5196276050731814, 0.5547512196496633, 0.4952854978656943, 0.45608141682055525, 0.5822728285981036, 0.6234463958575214, 0.5208857212650904, 0.4614550578732147, 0.6057683415660234, 0.6062456179205196, 0.6405264848392174, 0.5940881256557597, 0.5007094224668694, 0.4917930762526781, 0.5478507479422714, 0.5775334954746607, 0.4901753571837224, 0.581474162795496, 0.5658256264757304, 0.529332253262507, 0.44627499642677226, 0.4552968220781579, 0.4737293254488272, 0.4869411453853404, 0.4641158497009429, 0.470927917505075, 0.5094995700233264, 0.5751793458797123, 0.2048119071272575, 0.16568389842430054, 0.15270126839923348, 0.1415956419628528, 0.164850945569898, 0.17028539085645988, 0.15516755338076615, 0.15608925557488795, 0.1678504743736824, 0.1940755071603817, 0.16528159086165894, 0.18229355352702914, 0.19689445369611658, 0.12164738874391468, 0.18239329978555174, 0.19476814673527532, 0.16520610073855524, 0.16716343971833425, 0.24356679001998682, 0.14168292978605546, 0.17318839020193566, 0.1863235500837288, 0.1917075249487037, 0.1892273626788351, 0.2069668746688561, 0.1531845037483488, 0.18391554436440993, 0.18672033772534513, 0.18155879712196354, 0.15879697492465383, 0.16730284133846818, 0.18784753631103612, 0.15427016212607803, 0.18494881581404454, 0.16529546370267434, 0.15863865636221453, 0.1295102066763142], [0.03446842448305021, 0.035149707209530034, 0.044237108557877436, 0.03451066472482789, 0.04301539289034417, 0.0516298974360746, 0.05146267596952414, 0.03629614990956398, 0.03411621637678375, 0.04209885149274695, 0.03097726561493641, 0.031693451951023355, 0.030828220095546643, 0.04961691419808811, 0.0, 0.057722181943543616, 0.08682407546462967, 0.09173771917501061, 0.06044984277280652, 0.0421122507089845, 0.049237659432483594, 0.07974178184949399, 0.06338822705505665, 0.06094365965947779, 0.08234462602918902, 0.06117973678824662, 0.08588247630410928, 0.07401685277302605, 0.11061326770011604, 0.10931671681238764, 0.057431151665993, 0.04929786273586678, 0.050562378677323494, 0.058442923564600235, 0.09078578230989676, 0.06749981225742974, 0.08026159735777194, 0.05455366066568568, 0.06509885569199791, 0.040748870052261466, 0.042611905332512245, 0.07236719913726675, 0.5410044412086303, 0.5033945413044166, 0.5399411848927349, 0.5171098702410821, 0.5508090885312062, 0.49604422171476836, 0.45559775855123075, 0.5803359607400012, 0.6245479005390784, 0.523708626890779, 0.3835692747452092, 0.5361818091403809, 0.538444215028544, 0.5557532592716763, 0.5039659786636193, 0.4659434478640344, 0.4900019247928302, 0.5609285901132194, 0.5704869534275321, 0.5035164757376813, 0.5749274400717654, 0.5693883599714753, 0.5367649599206331, 0.46170664345610957, 0.4725368324841156, 0.4797746760364556, 0.4723011963399808, 0.4209545193709815, 0.4712288846971038, 0.5106243455151518, 0.5693021721234196, 0.17061644464627812, 0.1331566779334511, 0.12214576774420072, 0.11124591839224962, 0.1416155003102504, 0.14285928245631774, 0.1370588933885577, 0.14229349021274085, 0.14190268245605686, 0.17484631780613213, 0.13797317878417126, 0.1493642814506867, 0.15648885973431614, 0.11368392775961511, 0.14479854178445672, 0.1708859624245731, 0.1290199081186857, 0.15371177042788942, 0.2027867053505149, 0.1232708758798794, 0.1364624798405809, 0.1638493522229022, 0.16054781886463787, 0.15299312766938544, 0.17553164050251568, 0.13249009523241229, 0.15373136312279312, 0.14170096184304803, 0.1692088968479627, 0.14365979813427565, 0.14771350953461992, 0.1756644179170398, 0.1568195337013365, 0.16072230352882932, 0.14670236353354338, 0.15500530848846727, 0.11752686234250476], [0.032800776294946266, 0.047677380096173394, 0.04413060610042674, 0.06551656347774448, 0.11115624734104512, 0.039235244207095676, 0.04949592956731086, 0.04910386869462924, 0.07324590216743332, 0.07261426042777541, 0.038932576655822726, 0.042401205737262804, 0.02939636013864244, 0.03192884555751707, 0.057722181943543616, 0.0, 0.0768254387919477, 0.07395536318889895, 0.03984647687678056, 0.045460013358659235, 0.0492989380593547, 0.07213378676551163, 0.053878480444170096, 0.05075844244511374, 0.08096686568903178, 0.03978470857506, 0.06767801833737563, 0.04914929299538595, 0.08467778175497775, 0.08145833106617262, 0.04732944832515684, 0.03525607937421271, 0.045585474387825564, 0.0296507371720931, 0.06754098580806911, 0.05035667064286009, 0.04948067988827287, 0.031924046766251823, 0.0470553500851989, 0.048282601053746044, 0.047654641537282605, 0.058939874154678606, 0.5025793828382428, 0.449134568300244, 0.5139488735713436, 0.4878635368772326, 0.5104242096037857, 0.47293845151737246, 0.43181740584283557, 0.5591927708918545, 0.5961486371392101, 0.49891966517535635, 0.46609734569139316, 0.6148755178403131, 0.6098327120994773, 0.6464702479401261, 0.6120031278758036, 0.49154037632785297, 0.4729735356320809, 0.5517137028657382, 0.5632093685443531, 0.4718632169877317, 0.5717296690347805, 0.5529641482879836, 0.5133168145937611, 0.4111879153535989, 0.4267178858370998, 0.44979826409837653, 0.4492406427264569, 0.44947582325828817, 0.43394263854492765, 0.47279274882682254, 0.5345231743206798, 0.17999078060725682, 0.13887841172701443, 0.13001461381672486, 0.11952730947221801, 0.12891494598810516, 0.15230458954156845, 0.13498945297112452, 0.12411560191699234, 0.13671932689617616, 0.15991674703116332, 0.13590222199285173, 0.16773506084361178, 0.1779427835995312, 0.10403473474988889, 0.16713082158419312, 0.16303591706111453, 0.14733075327756906, 0.14205860953731542, 0.21156816032198889, 0.11571916837674212, 0.151146179326215, 0.1580298992180521, 0.17569407646294954, 0.17165263579117507, 0.18177289105054728, 0.13152658118305305, 0.15616924229840057, 0.15388863166978617, 0.16793300793374655, 0.13719291347719131, 0.14078929798593054, 0.15860142400258126, 0.1355636467674275, 0.16936809215307647, 0.14081456445705398, 0.13766340243768005, 0.10569233629342756], [0.07809009210264573, 0.09805684313976093, 0.09103428535701763, 0.11931142032754982, 0.16045376255222255, 0.09776103950535864, 0.10766077798562279, 0.11765550122083934, 0.10219354966774818, 0.1311673460144548, 0.07005397727397311, 0.07361279444442137, 0.06533013910655383, 0.10346162535723868, 0.08682407546462967, 0.0768254387919477, -2.220446049250313e-16, 0.020352868680276193, 0.04574718004178857, 0.04039008676541134, 0.04426796377651365, 0.05821133781197474, 0.030167309843615597, 0.03982875493646687, 0.04972649725278255, 0.05129588549451736, 0.050475302520610166, 0.05213911999228826, 0.05847887969079635, 0.08480697790391845, 0.04116756177971759, 0.059937081868174924, 0.060395488386543406, 0.08357433197968422, 0.06112671977401407, 0.04529140780382135, 0.05162228666198465, 0.06402742162206965, 0.05977624132105819, 0.06092471281281486, 0.08129565130879646, 0.11558668026565233, 0.5253274173499259, 0.48641417988284785, 0.5063527225534908, 0.48280756127245195, 0.5268206340958959, 0.46734358861031977, 0.43966337151831625, 0.567110010627706, 0.600826806805026, 0.5104054182840029, 0.43554059954531155, 0.5734035772356634, 0.5646406560624645, 0.6052949921690318, 0.5650566362783234, 0.4806616915139156, 0.4802752991741771, 0.524321338354768, 0.5525644730170852, 0.480761238530666, 0.5446510365673792, 0.551138435366456, 0.5116426000764382, 0.42967101143739794, 0.45409054844502983, 0.4579219518685541, 0.4500457355159815, 0.4308063356429299, 0.4480890421038488, 0.4809274060384613, 0.5360742587925761, 0.15887919056937183, 0.10877717073570392, 0.10246035748977644, 0.10637237746862727, 0.10508599671634644, 0.13265737231986796, 0.1156512697534322, 0.10032111004181954, 0.11062710143305188, 0.13113531580212712, 0.10577838120281191, 0.13464767984478687, 0.15015035801775356, 0.09366326431585525, 0.13344821437445054, 0.13121046867416197, 0.10547259742966208, 0.11208142822037337, 0.1476212204206997, 0.08986194680882009, 0.10876764398220817, 0.12186180968383342, 0.13353699728912116, 0.12233239357857062, 0.14029816247913052, 0.1136328828408506, 0.13848059093875498, 0.10919943610483851, 0.14277865314475913, 0.1135673076682987, 0.11748683260001735, 0.12156433564165703, 0.1261857893159649, 0.1388980643072819, 0.11121557878841981, 0.11877977812528917, 0.08802389300591507], [0.07743399348275737, 0.10198036148263823, 0.09575727701294956, 0.11939749272563249, 0.1635208005378067, 0.10092266966745045, 0.1091926298762903, 0.11997492213277172, 0.11285139118134635, 0.13386024381266437, 0.0776899290831442, 0.07191049136671945, 0.0696705660558663, 0.1023016605074567, 0.09173771917501061, 0.07395536318889895, 0.020352868680276193, -2.220446049250313e-16, 0.05213629562036681, 0.04437777809693366, 0.04873725769834891, 0.05887143918362425, 0.0369238571759688, 0.041663111290679566, 0.05045621481212981, 0.05108137790795597, 0.04770212205014024, 0.04871029570267005, 0.059420126419664654, 0.08610935083779703, 0.04121662237107715, 0.06197591636905231, 0.05834502577767808, 0.08275135768412045, 0.05753433504531691, 0.04536170290141828, 0.053149454157225606, 0.06244491574348787, 0.057713619070064004, 0.06338560538039772, 0.08538670199889253, 0.11712449309645845, 0.5004171926041106, 0.4609794820978347, 0.5127655986275138, 0.47425383249151265, 0.5118417949354251, 0.46297513146564073, 0.4662459839983859, 0.5966142840285875, 0.5783250242669757, 0.5075744207697728, 0.46177307110144084, 0.5729020727557993, 0.5661135081059361, 0.6065596539714262, 0.5714353059870159, 0.500965965577995, 0.47556205047851496, 0.5302810796155377, 0.5555159230325972, 0.47950249121653576, 0.5432818716971426, 0.5493369200244881, 0.5086335971524738, 0.4208453159009927, 0.44187071856405546, 0.4593594280154837, 0.4570590030212912, 0.4484024271227861, 0.4419780404046021, 0.4736312290724046, 0.5262646173512587, 0.15717590989356556, 0.11312062997544581, 0.10121651799964848, 0.11060101106956188, 0.10305913276975986, 0.12765806047770545, 0.12012976824198884, 0.09501620301257463, 0.10826010242053863, 0.12650837779353585, 0.10803494525872848, 0.1313717782050855, 0.15181056195316456, 0.09432068494026069, 0.1303745647062894, 0.12650421370906673, 0.1138828435061886, 0.10533804305928463, 0.14184067852633642, 0.08841837478404424, 0.11006290371324423, 0.12603717406514847, 0.13161168412675084, 0.12422598473800872, 0.14150762439485853, 0.12065865999729208, 0.1332205861082899, 0.11748164994352284, 0.14017944725352527, 0.11404512397935296, 0.12020845875215525, 0.12220305387667263, 0.12213855142806451, 0.13602155933557936, 0.11320683145830635, 0.12144289219461568, 0.09147163361967381], [0.04380105844770876, 0.055283559625717515, 0.05019657554512913, 0.06928605439750335, 0.11263976380676477, 0.04302173001747622, 0.04257125547672713, 0.0647928270040301, 0.05780268139959188, 0.06937770719292147, 0.037574805057049576, 0.03658899115779801, 0.03146308579860846, 0.04778128043426255, 0.06044984277280652, 0.03984647687678056, 0.04574718004178857, 0.05213629562036681, -2.220446049250313e-16, 0.0289293248353909, 0.030058165044714702, 0.03643997820811107, 0.02512684038770252, 0.022228442144819005, 0.0361438284421326, 0.026031940414715793, 0.03260136308807993, 0.021387522898262512, 0.03715102551473359, 0.0519987112310496, 0.05013951042599796, 0.038746855096080446, 0.039102783937334906, 0.032943858937988124, 0.044122344933777646, 0.038273942831975605, 0.03620254752721819, 0.03093647174492542, 0.04229802898475998, 0.04424775021865368, 0.04370059559026518, 0.08264786271619085, 0.5298459058057792, 0.4913899370567618, 0.5032170017641596, 0.4881125094154568, 0.5298309990905611, 0.4716558079102541, 0.43733364234203886, 0.5825922738876572, 0.6207159655705969, 0.529659495145781, 0.4374810450103539, 0.5687054854391559, 0.571399378915018, 0.6109387217046882, 0.5606770121421664, 0.489832756662528, 0.4909940178584987, 0.5277560429662429, 0.5661966086716359, 0.4834103862695799, 0.562228463850174, 0.5595258318714103, 0.520056616730664, 0.4349024695048579, 0.4536239364352175, 0.47128719125378415, 0.47719168054326977, 0.44737787958183295, 0.45762882692680296, 0.49562839222619637, 0.5499816235986454, 0.1609985459916028, 0.11361298207766668, 0.10990790748543866, 0.10157593330154191, 0.11275542755715118, 0.13311061007068514, 0.11158673384486406, 0.10806999817246543, 0.11564962628116571, 0.13846146280664762, 0.11217150950455734, 0.13740875036531075, 0.14578207246465236, 0.08584073620061483, 0.13585502949929418, 0.14148030892960772, 0.11766301941976387, 0.11655914847466287, 0.17407312004342046, 0.09070328501550917, 0.11907928738177131, 0.12783335215557623, 0.13938733707394924, 0.13377517821956952, 0.14524015701132942, 0.11040991516818888, 0.14277125009965508, 0.12855977015156006, 0.14310789400241242, 0.1115178675417755, 0.10692769130098279, 0.12721751444065965, 0.112804316580843, 0.13589151362524032, 0.11384861373789557, 0.10976265888104086, 0.08554186107352324], [0.03448290446033819, 0.05170069749435291, 0.05950304653431571, 0.0537850019925773, 0.09012081206908895, 0.047053675191551014, 0.06565189149979778, 0.05652592450985594, 0.04726866538231955, 0.06769672674051153, 0.04006003303107597, 0.03614062391721795, 0.025478542556372497, 0.05735612189496886, 0.0421122507089845, 0.045460013358659235, 0.04039008676541134, 0.04437777809693366, 0.0289293248353909, -2.220446049250313e-16, 0.016717351893877797, 0.04096354181586348, 0.01904229879305719, 0.026624845940962594, 0.040613340352038896, 0.03258332729631486, 0.04016867396679702, 0.04347599887534459, 0.0641026273137214, 0.07354082712994958, 0.030609353704453834, 0.02846766780961052, 0.03724132031196614, 0.04808994172452474, 0.047721566982179775, 0.031523452212475545, 0.045239988564786504, 0.03690260640778331, 0.03852300219224525, 0.022755256182964034, 0.03515645103381826, 0.06669139868137908, 0.5021952056655343, 0.4612481552746672, 0.5011487329439976, 0.4739219061262495, 0.5019928061831798, 0.4525357857512493, 0.4220884586805259, 0.5620684798062341, 0.5841979399076181, 0.48820259841037883, 0.3789977726705641, 0.5299921708043522, 0.527387555253291, 0.5532755638045964, 0.5086965986504643, 0.4477753703301517, 0.45807565137562045, 0.5283568812819232, 0.5375208389050082, 0.46572005324582044, 0.5468235998624984, 0.5345844778278601, 0.5013292336705133, 0.4156387633290537, 0.43311563943964826, 0.4468640683100712, 0.4430425154358262, 0.3962513875729945, 0.42419972752885593, 0.4637357287544679, 0.5281452484219582, 0.1535507980287234, 0.11110646844649719, 0.10156057287062825, 0.10319592632510832, 0.11680776979450314, 0.13097613607079894, 0.11817010631278713, 0.12103633359763177, 0.11574229398546754, 0.14198619175579774, 0.11190509246218272, 0.13719728623883654, 0.1420098106837181, 0.09444051296483791, 0.1330514487717923, 0.14521606393107078, 0.11141614728182458, 0.13251179837221239, 0.17389324475530332, 0.10357974503278056, 0.11544983579249068, 0.14002143078746387, 0.14329263601071152, 0.13253356366271762, 0.15475566549302544, 0.11580772389059268, 0.13632365652578882, 0.12758524492783918, 0.15012526300464202, 0.11241018880781584, 0.11979467454303339, 0.14113243591114188, 0.13234186263278713, 0.13716519760281431, 0.121794590630528, 0.1282829967618334, 0.08962022399864689], [0.04441707695448893, 0.056151654606470536, 0.05665088246933525, 0.05707300015188588, 0.08812286107733724, 0.050969993714419015, 0.05847751542453539, 0.06142504661602244, 0.0446299696998218, 0.06487677591940266, 0.04481492731515946, 0.038704893213518665, 0.031963507272844804, 0.06598210614226752, 0.049237659432483594, 0.0492989380593547, 0.04426796377651365, 0.04873725769834891, 0.030058165044714702, 0.016717351893877797, 2.220446049250313e-16, 0.03296602463183096, 0.019865151145827542, 0.02695776795959548, 0.034092908429823376, 0.02729914132416955, 0.02990696168565099, 0.03794904096029639, 0.049512810113301886, 0.05329313985114237, 0.04052929208606426, 0.03932069947841921, 0.041955340857896095, 0.04568171706976665, 0.050777390282291, 0.038241582417179454, 0.0520027077838936, 0.037678158938007966, 0.037297911630684744, 0.03223187663790372, 0.0405368176392118, 0.0765677515508657, 0.519060082075752, 0.4763233231778181, 0.521175298360411, 0.49043102650483894, 0.5200222051693855, 0.4745447489396025, 0.4327848640892946, 0.5576382176487986, 0.5985868558413323, 0.501507258806942, 0.3886294569501938, 0.5230098252431591, 0.5191285267773202, 0.5495243132793503, 0.5102839231633003, 0.45018985610552675, 0.4758315167746986, 0.5499312700353898, 0.548116790122674, 0.49147429396572384, 0.5608824441919482, 0.5517960079743442, 0.5225314117557764, 0.44324340344488444, 0.4542294170377854, 0.4586547452945531, 0.4449721131913307, 0.4037628805125144, 0.4453274530183424, 0.486223253550659, 0.5446702819678514, 0.14731531274999088, 0.10871586918788678, 0.1021893770485004, 0.10369197784845052, 0.11598031735261738, 0.1359887967668807, 0.12341200754703752, 0.13036650475806755, 0.11665005043996546, 0.14148383273304377, 0.11314055148587354, 0.1299842628910871, 0.13387722588172168, 0.10053499764336393, 0.13001805456234639, 0.1442882314704813, 0.123832709555741, 0.12857422822580078, 0.17829988680762432, 0.10279673850787174, 0.11833170781901603, 0.1321643503413118, 0.1374185903346682, 0.12913539782132333, 0.1458394192147805, 0.10837169439461591, 0.13590220346605852, 0.13321280297496163, 0.14823146928083275, 0.11143856521662587, 0.11217424348156535, 0.13513028958243645, 0.12253302425626234, 0.13393204763480648, 0.11527551679505499, 0.11446341494810963, 0.08961143904654856], [0.07720660853740247, 0.09439797085915724, 0.08820230439723697, 0.09978632392936804, 0.1378154168324467, 0.0697045375775962, 0.06641121843241526, 0.10177769194752984, 0.0776974508814049, 0.09479721878089975, 0.07040725179088403, 0.05316223950053445, 0.0513964350842564, 0.08984381353192372, 0.07974178184949399, 0.07213378676551163, 0.05821133781197474, 0.05887143918362425, 0.03643997820811107, 0.04096354181586348, 0.03296602463183096, 0.0, 0.03666504176395269, 0.0263306209790799, 0.0245043418908224, 0.04259077176330328, 0.0207486693813409, 0.031149458069529623, 0.03178522959964314, 0.03979161889429195, 0.06568181297316067, 0.05992247000370554, 0.06467437381960339, 0.06371771951053795, 0.04002100843659839, 0.043975961510489436, 0.04912731117642788, 0.06461201851432041, 0.04251728678651323, 0.06815630853693033, 0.07922466365069458, 0.12173877474486683, 0.5108649310266571, 0.48333785588785416, 0.49733011172737085, 0.47194993643838334, 0.5188262062370116, 0.46289475580619155, 0.42407042672542694, 0.5417545470944485, 0.5762391508445899, 0.4847386779355123, 0.43876332609885216, 0.5682900048917717, 0.5671486558380194, 0.6061332389270191, 0.5590030683227617, 0.4616974619368167, 0.46288642194815277, 0.5079236207608024, 0.5366835077594446, 0.4660648406175977, 0.5348515645776306, 0.5239487939736086, 0.4874650739718178, 0.42927177413809825, 0.4405158316296951, 0.4291962708336089, 0.4300894772121362, 0.411402847104419, 0.4368706187002366, 0.4792097543228485, 0.5320263989819647, 0.16137029177876483, 0.11114027642439062, 0.10877007759309842, 0.11976133058613836, 0.10775933567169416, 0.1335449852792362, 0.12405604556428362, 0.1176722275202221, 0.11252520219936513, 0.14237390214785806, 0.11412152513262475, 0.13949190385634314, 0.14634676069700248, 0.09750108935219515, 0.13275998793085753, 0.1399265216980824, 0.12932425329906794, 0.12031185699904734, 0.16736702024561556, 0.09045109653520911, 0.1224235007596417, 0.12515288195032281, 0.1307350072563419, 0.12663642032314293, 0.1312964347143566, 0.1254086143546228, 0.15239398642775537, 0.13472539856998478, 0.148029397380246, 0.11485274120263322, 0.1077292787025037, 0.12271077250917206, 0.12015184530253087, 0.14477910709005892, 0.12580840002490534, 0.11645914672616231, 0.09882988631182155], [0.050978694161871396, 0.06892671035341624, 0.05986853605624387, 0.07041032393927638, 0.11860050388550314, 0.05285738732429812, 0.07287595773921873, 0.07957657231487902, 0.06207186778356899, 0.08034689199308809, 0.05035399632706827, 0.04692104748803938, 0.03675463511399912, 0.06538833963835322, 0.06338822705505665, 0.053878480444170096, 0.030167309843615597, 0.0369238571759688, 0.02512684038770252, 0.01904229879305719, 0.019865151145827542, 0.03666504176395269, 1.1102230246251565e-16, 0.022285406567443933, 0.02938307256639583, 0.023624997588202357, 0.023894293862912752, 0.03184070285735152, 0.05001382122333997, 0.053983507056381885, 0.04285082893098313, 0.03912305361384483, 0.04908214123937449, 0.05476263982619678, 0.047329206613756836, 0.03675591172233228, 0.04048201876315094, 0.042982572265634955, 0.04044445133374164, 0.03362703688042323, 0.049295945137578734, 0.07698027794765638, 0.5005364260221157, 0.4572993996714685, 0.48069140936235477, 0.4624385138642453, 0.5069628755776455, 0.4438732636163579, 0.40637156817047393, 0.5317414977353458, 0.5790262523389078, 0.47798036871182725, 0.40149043537521345, 0.5406061115183016, 0.533830375593097, 0.5694651988273749, 0.5265206058542968, 0.43804322940364093, 0.44899399768221315, 0.5051566512899173, 0.5165477668990758, 0.4498545388750167, 0.5249469371720512, 0.5164367686519673, 0.4837003326115652, 0.4168870983246349, 0.42935982547122564, 0.4260642130203629, 0.4234209398282822, 0.3963793208447701, 0.41455555330018745, 0.4588653597141735, 0.5230474750826127, 0.15593471778163648, 0.10993456388104195, 0.10125136599232842, 0.1078201983294923, 0.11627228305398851, 0.13568013688921832, 0.11655102243304472, 0.12391625255887784, 0.12138082582599485, 0.14472063546934932, 0.11686091136018362, 0.14296133005434664, 0.1438796646087357, 0.0919994193981637, 0.13769101738415157, 0.14379000402090703, 0.12099276454078078, 0.12488602132818694, 0.17628922804316838, 0.09897228116491874, 0.1196662374426054, 0.13173977835761397, 0.1386692946017717, 0.13194557487029845, 0.14688524582252105, 0.11251206723616136, 0.13638799838628146, 0.136081397768121, 0.1403658820653637, 0.1033715867692262, 0.11410839758089963, 0.12695284072124324, 0.11440449873412128, 0.13539523534152131, 0.11845449862473223, 0.10948183632928143, 0.08646998488208424], [0.05495123625055365, 0.07065265937155196, 0.0703960829126391, 0.08699780886439079, 0.12125823443683459, 0.0547817165297898, 0.05908849200582311, 0.08202634518848817, 0.0708152171804558, 0.08135882632681102, 0.04448966026568846, 0.044829962534309264, 0.03848249485231081, 0.06324930675296947, 0.06094365965947779, 0.05075844244511374, 0.03982875493646687, 0.041663111290679566, 0.022228442144819005, 0.026624845940962594, 0.02695776795959548, 0.0263306209790799, 0.022285406567443933, 1.1102230246251565e-16, 0.024386262657382418, 0.023734281103719113, 0.025360465800439713, 0.02233924723074976, 0.035860870663886546, 0.054119619173814915, 0.046824187057501354, 0.04579625893076544, 0.040272809364664486, 0.0451695925477229, 0.047675084220819675, 0.040960090557006446, 0.04003727689897729, 0.03858794474147875, 0.044660898265088345, 0.04293670065584232, 0.052836675148674406, 0.0908257641973289, 0.5136909987161336, 0.48105715779269986, 0.5008018198124884, 0.4820016447990175, 0.5229336400176345, 0.4652304463849469, 0.4599444812070048, 0.5974905352131007, 0.5991385538754586, 0.5195508535759381, 0.43921418502006404, 0.5665443575635543, 0.5679025707012602, 0.6007422745495279, 0.5498394164484949, 0.4942308839404108, 0.4802857738734313, 0.5194898501717198, 0.5551250557779628, 0.47108918380863085, 0.5498966314944993, 0.5515106637240785, 0.5074630562305356, 0.429801761653549, 0.4451015520501622, 0.4655766639040696, 0.4700705677031678, 0.44344547339343465, 0.45125885468715843, 0.4838424016257402, 0.5326461592057444, 0.15595464428039352, 0.11039159930829001, 0.1010140264961743, 0.10278874879180833, 0.10305627465564582, 0.12667800131476326, 0.11017135541997569, 0.10731355180486257, 0.11271611153421124, 0.13715687938353105, 0.10986731816970863, 0.13179665209725755, 0.14401457839574539, 0.08404062828612435, 0.12353497023588211, 0.14062811079894577, 0.11282264906958561, 0.1092765925358462, 0.16420455233922782, 0.08597562479757903, 0.10683039283076501, 0.12034498402120619, 0.12440150295146923, 0.12264773766692894, 0.13521833159438834, 0.10698447093121444, 0.1362498913416782, 0.11442093574808532, 0.14082857473548938, 0.10188096112441447, 0.10391975341896664, 0.12039127454025522, 0.10634920228596556, 0.12941313634914686, 0.1117527886857711, 0.1126716136775604, 0.08093679069174564], [0.07690188826150812, 0.09175833838951364, 0.08847495520130522, 0.10170354921948954, 0.13626946641083593, 0.0838126914379036, 0.07493450169537041, 0.1115809863010978, 0.07866566394824592, 0.09306287928179435, 0.06369172000815604, 0.058085487280539194, 0.05885354627650574, 0.09278628862999538, 0.08234462602918902, 0.08096686568903178, 0.04972649725278255, 0.05045621481212981, 0.0361438284421326, 0.040613340352038896, 0.034092908429823376, 0.0245043418908224, 0.02938307256639583, 0.024386262657382418, 0.0, 0.04408422160882963, 0.017883365357141745, 0.027280141967438443, 0.023806487241893715, 0.045734079327738986, 0.06488406296539517, 0.06361502501309835, 0.06213028020078204, 0.0698204778320245, 0.04504429078732208, 0.04665701848190851, 0.0557895960119702, 0.06565864103885488, 0.05346189136142454, 0.06850408983941125, 0.07757540840752974, 0.12767836725223847, 0.5274520879302382, 0.5032396262809393, 0.5008059841763184, 0.474119517125106, 0.5306337237239738, 0.46499488666122923, 0.4474061734128174, 0.5723097485870319, 0.5805954180391969, 0.5037069899412425, 0.4100342946072061, 0.511755554349862, 0.5052894368016507, 0.5461331288803419, 0.5035004733199073, 0.46388977722387426, 0.4735612137943386, 0.5054389912388748, 0.5405687489736292, 0.47981030216355747, 0.5328345930878198, 0.5375773272524751, 0.4990550169235274, 0.4412160462441723, 0.46078202464909657, 0.44951423741069774, 0.44848740619399285, 0.40081916605827195, 0.45687736145104907, 0.4902379019994909, 0.539111647135428, 0.14045215963613789, 0.0993685372927986, 0.09194902385979287, 0.10429477063710946, 0.101216490730209, 0.12201654454406541, 0.11612619804305258, 0.11398588718828984, 0.1039189650348179, 0.12531827753263092, 0.10465709743968066, 0.11806908349789469, 0.12103266991719652, 0.08779446461009599, 0.11045782576901175, 0.13349085798533122, 0.11370541511655308, 0.10333014117926609, 0.1453531065138114, 0.08913374087457515, 0.10134743131188306, 0.11561473359311136, 0.10899425470554092, 0.1070098177653157, 0.11784383405756149, 0.11099747315880082, 0.13477725657994866, 0.12962107416735724, 0.1305977739713683, 0.09485789129019473, 0.09212842335148907, 0.10869393245852854, 0.09858866091955121, 0.11893453561166323, 0.10563402314891279, 0.10454741418029512, 0.08317759308460793], [0.04899485595999942, 0.06270349181175305, 0.0510997222212245, 0.07148437605703117, 0.11006367318321075, 0.05100702398100787, 0.057014422788260855, 0.05999370835988771, 0.06408350116345318, 0.06572393255354936, 0.04517677121163233, 0.04662213827374806, 0.03481059335884917, 0.04678748947683764, 0.06117973678824662, 0.03978470857506, 0.05129588549451736, 0.05108137790795597, 0.026031940414715793, 0.03258332729631486, 0.02729914132416955, 0.04259077176330328, 0.023624997588202357, 0.023734281103719113, 0.04408422160882963, 0.0, 0.03338578329231745, 0.03250582516397926, 0.051358094511393504, 0.046997272853971594, 0.04828393606913839, 0.04540574017927568, 0.03802570596864974, 0.03323770599402853, 0.05869723998480303, 0.049132412914326684, 0.05394902005905422, 0.0320591835227344, 0.0429208364909307, 0.040540543763577075, 0.04612601936611893, 0.07633169728585842, 0.5182024231623039, 0.47817185900729176, 0.5110752115732364, 0.486516546458693, 0.531439646711525, 0.47736790269391705, 0.4449215152215118, 0.5697774232664585, 0.59499454314073, 0.5026915892922286, 0.45679155643037905, 0.590232962519808, 0.5845344695750371, 0.6214738025703285, 0.5788511338840356, 0.4844249885660624, 0.4777538167091845, 0.532778663559748, 0.5530345425961957, 0.47854174702150953, 0.5553343918674043, 0.5484691551576535, 0.512103013188109, 0.43821073397983945, 0.4480396267521578, 0.4544995046513487, 0.4543092739038366, 0.43979506625319464, 0.4487746761922946, 0.4866503693198613, 0.5432162090244526, 0.16335194739395786, 0.12331475828505345, 0.11445905624398955, 0.1155289477038629, 0.12041084910364996, 0.1339873034520933, 0.11865018853086418, 0.12120202435840144, 0.125570540305446, 0.15145396108613252, 0.12843052724294823, 0.14484742086817703, 0.1591962250531077, 0.09593966033657697, 0.14469970263621068, 0.14428369479108494, 0.1332561386912331, 0.12132764817918551, 0.19127227317821327, 0.10380849326013719, 0.1311717478514871, 0.13539489203781063, 0.14423430754920985, 0.1443818916423405, 0.15547157528461264, 0.10871002783217854, 0.1407057268050329, 0.13825349710618728, 0.14362707096098493, 0.11409789934796288, 0.11921511309833133, 0.13482520120007302, 0.11352743399181586, 0.13742877520629015, 0.12263212231688092, 0.11668153589968, 0.09637707423124697], [0.07559790344210915, 0.09175384342861803, 0.08605475588951572, 0.09768947625262792, 0.14173122799299231, 0.06856646574969016, 0.0732310691488538, 0.10449433614020454, 0.08028191495242964, 0.09554011490676018, 0.06771719615489824, 0.05674609287374133, 0.05181322149319123, 0.0846313536907003, 0.08588247630410928, 0.06767801833737563, 0.050475302520610166, 0.04770212205014024, 0.03260136308807993, 0.04016867396679702, 0.02990696168565099, 0.0207486693813409, 0.023894293862912752, 0.025360465800439713, 0.017883365357141745, 0.03338578329231745, -2.220446049250313e-16, 0.02236934564589199, 0.02191755255991057, 0.03601143765451498, 0.05870606681130153, 0.05554546632767565, 0.061526759506352335, 0.058881037551755, 0.035159481279682825, 0.038762534923663994, 0.04205902538703876, 0.05492630519930297, 0.03793053398572099, 0.05873319604300298, 0.07407012565468629, 0.10810739831881233, 0.508361886524336, 0.48318986107205153, 0.4923864761756124, 0.46526426684197264, 0.5175052362597212, 0.45685205093882764, 0.42843758980316826, 0.5466498831883848, 0.5770132542526454, 0.4840666322572137, 0.439245130985465, 0.5552616385078917, 0.5499694694846675, 0.5916032160540827, 0.5514687114437937, 0.4652724159682402, 0.4585170747375591, 0.5060784401644076, 0.5316294624830985, 0.46606084407080683, 0.5304370175099868, 0.5176421272422671, 0.486318714568055, 0.43798229468232985, 0.44705917924356153, 0.43414503046225217, 0.43709584421343306, 0.40869575259442703, 0.42926502020858404, 0.4667422585185057, 0.5206100025946372, 0.15204379572307491, 0.10616242631475248, 0.09922363373582521, 0.1148633792623458, 0.10592072901294491, 0.13324139236122579, 0.12083793924937991, 0.12654848563669474, 0.11538971779228135, 0.14137873595594597, 0.117739041658393, 0.13220220647109127, 0.14318952044982092, 0.0992011146875671, 0.12799602204745686, 0.13605752375097313, 0.1296038730882414, 0.107485483429823, 0.16041392216119932, 0.09098644892546248, 0.1165330081118795, 0.12242140299893212, 0.1224814533443106, 0.12444869077688003, 0.132800257894506, 0.11326961824586601, 0.137335534710895, 0.13695677466438438, 0.13695778299581973, 0.10078136752092581, 0.10417432745750221, 0.11472017877227347, 0.10541110632117145, 0.13153789056656828, 0.1138211812028791, 0.09981100963408207, 0.0857835896612088], [0.061885620082769766, 0.07178734897779415, 0.06500971099750386, 0.08703972840265539, 0.13202758834821804, 0.057126159510688335, 0.055444172451209806, 0.08777704676955, 0.07683496125255018, 0.08353768036882336, 0.05000287487112354, 0.04540714913955857, 0.04438384853532018, 0.06416229370255644, 0.07401685277302605, 0.04914929299538595, 0.05213911999228826, 0.04871029570267005, 0.021387522898262512, 0.04347599887534459, 0.03794904096029639, 0.031149458069529623, 0.03184070285735152, 0.02233924723074976, 0.027280141967438443, 0.03250582516397926, 0.02236934564589199, -2.220446049250313e-16, 0.026721195688785282, 0.05097570358325754, 0.0569533253212674, 0.048358733273981325, 0.046701103365469177, 0.04528453722376047, 0.040973428711469806, 0.04140635595664621, 0.034788951605998486, 0.03991096209828593, 0.04176407131149984, 0.055309786201830025, 0.05842311706865866, 0.09528330002100938, 0.5199934279534384, 0.49200053320315107, 0.497295889834257, 0.4725609521064549, 0.5212973054325598, 0.46411334919661074, 0.45065132990458445, 0.5737699910274814, 0.5932849343315629, 0.5074946534178233, 0.4497073550557448, 0.560566272190061, 0.5559399730500908, 0.5990785853125699, 0.5535668999613601, 0.48490714025480586, 0.47207639724287775, 0.5089349994024355, 0.5424746414048249, 0.4676970850540827, 0.5384974186094689, 0.5382053185752933, 0.4988362783358473, 0.42323155183751127, 0.4428110875466985, 0.45176560866660576, 0.4602808120538995, 0.43376138932244124, 0.44366252193438105, 0.47706160669573827, 0.5274709766401808, 0.16650100126505696, 0.11586490619180545, 0.11022540460112795, 0.11017262044424658, 0.1126664232990191, 0.13976206968725302, 0.12023697899083119, 0.1155992894829525, 0.1217673030924552, 0.14399511857199288, 0.11918496573500792, 0.14122103599466795, 0.15066259400095738, 0.09447162461142022, 0.13545001235423804, 0.14553542165523825, 0.12871302851975508, 0.10763703804850488, 0.16779695543710593, 0.08711103368826989, 0.11949229406371831, 0.12669883405172444, 0.13107351439967618, 0.1345615574737613, 0.14220295817656003, 0.11862020103177817, 0.14841289359870535, 0.13305337164543884, 0.1418393742040447, 0.1063589779298465, 0.10849392636874311, 0.11978894332247247, 0.10651943044056444, 0.13825916271616923, 0.11340129783937847, 0.1045553197637824, 0.0871034257879233], [0.09493507793284428, 0.11074364253428692, 0.10956549732779586, 0.13486272793532017, 0.16624706326794159, 0.09410105945184966, 0.08095298218353253, 0.13038392104844998, 0.10439489830935256, 0.11893591117439217, 0.07982426020290345, 0.07357281577919506, 0.07574603275500369, 0.10398402618307334, 0.11061326770011604, 0.08467778175497775, 0.05847887969079635, 0.059420126419664654, 0.03715102551473359, 0.0641026273137214, 0.049512810113301886, 0.03178522959964314, 0.05001382122333997, 0.035860870663886546, 0.023806487241893715, 0.051358094511393504, 0.02191755255991057, 0.026721195688785282, 0.0, 0.0392918119539144, 0.08011814807910278, 0.0784867770760993, 0.06903830562308322, 0.06868020005727626, 0.044014012430026006, 0.05743090812418172, 0.053666890095038444, 0.07053320128944174, 0.05716195808970792, 0.09257861613416596, 0.09645280376283605, 0.14804653168877768, 0.5481963341360673, 0.5250674162661406, 0.5294120243932332, 0.5008328978851602, 0.5477167038170868, 0.49950942028694045, 0.4849488797715936, 0.6161852787088323, 0.610403886355508, 0.5361405028515798, 0.4856875459824448, 0.5793067450466234, 0.5824105267300405, 0.6286880774937096, 0.5841783010641474, 0.5313431439469434, 0.5105656072313202, 0.5417445235800598, 0.5919645438517711, 0.5125829578509318, 0.5741164298828678, 0.5709282074623365, 0.5307641337200093, 0.46757673986992687, 0.48987081942204347, 0.48671901475619417, 0.49370803183463585, 0.4636268598239355, 0.48860842249485537, 0.5148221122989532, 0.5561785535050008, 0.16043360429798914, 0.11714639025273255, 0.11073277527438519, 0.12211926364169878, 0.10958009095359889, 0.139580598449766, 0.13345048795324188, 0.11884656817419559, 0.11734675186290522, 0.1437994580569386, 0.12041441668761055, 0.13044012800410854, 0.14792520363908612, 0.10727335914874714, 0.12649054495189527, 0.14335947526458293, 0.13623095614934655, 0.10557776431580845, 0.15156379789805097, 0.09327664726855833, 0.11595202305625274, 0.12072621821562002, 0.12295864248457522, 0.1220522310151827, 0.12851187614937176, 0.11939001232114199, 0.15266686237177785, 0.13747165187044186, 0.1472694119389285, 0.11550820245127835, 0.10241483398113005, 0.11708351047151289, 0.11009435451413385, 0.1356305283439344, 0.11352251930194546, 0.10963292307723138, 0.09560677841848098], [0.0979691497278874, 0.11770484695119532, 0.09665993966045117, 0.12821988580186472, 0.16518017504522609, 0.09177414518843396, 0.08001340737173135, 0.12215991452221331, 0.09025340711215468, 0.10446799982590116, 0.09436767818045311, 0.07834654017906595, 0.07161233024117908, 0.09618212778664892, 0.10931671681238764, 0.08145833106617262, 0.08480697790391845, 0.08610935083779703, 0.0519987112310496, 0.07354082712994958, 0.05329313985114237, 0.03979161889429195, 0.053983507056381885, 0.054119619173814915, 0.045734079327738986, 0.046997272853971594, 0.03601143765451498, 0.05097570358325754, 0.0392918119539144, 0.0, 0.09142697577702774, 0.07901761327703649, 0.0810174828246375, 0.06630098233947801, 0.06622639909062511, 0.06963033736539503, 0.07589563066987026, 0.07442770604159044, 0.06098120387510375, 0.09074103632719732, 0.10522049408677536, 0.1471883865977932, 0.5316539611609663, 0.4965552697241281, 0.5205754925808994, 0.4986410716177384, 0.5449678047111257, 0.494781811608326, 0.4416202314147013, 0.5477102629788595, 0.5901996123772206, 0.49995016571554374, 0.4902141855984181, 0.6157820954303683, 0.6149518753363798, 0.6586770492614646, 0.6126968522622149, 0.49412237140490833, 0.487389183180323, 0.5403348652677303, 0.5725524997019671, 0.5008260383963614, 0.5616449483468469, 0.5389465855183753, 0.5044991572828725, 0.4606531456781756, 0.47247873381192496, 0.44638342000849174, 0.4398962845934148, 0.44407303446786184, 0.4668013252447102, 0.513532881309678, 0.5634085206261245, 0.17258552053165377, 0.13286334406975941, 0.12598054635082934, 0.13630180358052002, 0.13170965090698228, 0.15334460089281765, 0.14157324029774576, 0.13596280357809232, 0.13697810347806416, 0.167286269348915, 0.13412966710352237, 0.15092109705603196, 0.1680112589148941, 0.1149936145347592, 0.14975208238193682, 0.15446940954103516, 0.16159278052374282, 0.13199675644363384, 0.18634333946583592, 0.11486737587805684, 0.15208868983119395, 0.14042321618491072, 0.144620998300795, 0.1429599030778217, 0.1414210778232491, 0.13583467746115474, 0.16599206720358184, 0.16059166249319234, 0.15607971509130247, 0.13684201486180547, 0.11951709236663788, 0.13597691547606117, 0.11934756450287065, 0.15832426149970724, 0.13263921650682398, 0.1194480131326835, 0.1171416283953075], [0.041667636272787245, 0.06136637971063097, 0.06845931101990088, 0.0754293268652444, 0.1124820122248652, 0.06345064396564792, 0.07330815600407559, 0.06845704239590678, 0.0716667409774614, 0.08850368789832719, 0.043727452838303815, 0.04748062997465041, 0.0347161126325215, 0.06442395294795222, 0.057431151665993, 0.04732944832515684, 0.04116756177971759, 0.04121662237107715, 0.05013951042599796, 0.030609353704453834, 0.04052929208606426, 0.06568181297316067, 0.04285082893098313, 0.046824187057501354, 0.06488406296539517, 0.04828393606913839, 0.05870606681130153, 0.0569533253212674, 0.08011814807910278, 0.09142697577702774, 0.0, 0.025351214399990774, 0.033861132769423596, 0.05021993259879165, 0.04809388750405319, 0.026167119638050185, 0.04404011519044004, 0.03956749706953255, 0.0365824517599207, 0.03621271339832466, 0.04577914388785531, 0.07675350228833777, 0.49343042416196525, 0.4576273888267577, 0.5110884473115851, 0.4688144217079132, 0.4990357551406195, 0.4572331021607634, 0.4317227246736156, 0.5591744277339825, 0.5847837156976059, 0.4931311572037197, 0.41664209653642725, 0.5603552213014305, 0.5528058500988245, 0.5844024660365625, 0.5491741806462117, 0.46385714107577714, 0.46012423316573026, 0.5386349479733621, 0.5386895890697062, 0.466971174168618, 0.5491432613693299, 0.5433411570667814, 0.5076964405247875, 0.4083264896105564, 0.4249202827423635, 0.44634651659407976, 0.4371789744198281, 0.414818785136402, 0.42551344079934916, 0.455183485135747, 0.5135624490935233, 0.16292182896008, 0.1159676152763488, 0.10616402142290415, 0.10303096599150408, 0.11035933167629575, 0.1293157194246185, 0.1227139592384171, 0.11699529853285728, 0.11722728204417554, 0.1403976295146102, 0.11735276073585976, 0.13772183716187347, 0.1526634478930311, 0.09824256800523012, 0.1417042934497229, 0.14115239254479184, 0.11655764863625795, 0.12476866299037925, 0.17017546530313465, 0.10095374615996133, 0.1201430539608821, 0.14207388004511623, 0.14998423526779592, 0.143644443786915, 0.1610569011147409, 0.12142609752815137, 0.14176173060990394, 0.12531696403788195, 0.15151556433572433, 0.12301747245928663, 0.13082323132709317, 0.14340369916565265, 0.14087801149481183, 0.14822553500718916, 0.12496027553950573, 0.13624657936647777, 0.09591048401174651], [0.03207796506551841, 0.04577253893104227, 0.054658118458906335, 0.059720190724894096, 0.10405998894573965, 0.03835175081442843, 0.058949392786387333, 0.059521583247917675, 0.05956476954961043, 0.07018186449571484, 0.03934962704793499, 0.03716088117261951, 0.024813922191802007, 0.04717849802675089, 0.04929786273586678, 0.03525607937421271, 0.059937081868174924, 0.06197591636905231, 0.038746855096080446, 0.02846766780961052, 0.03932069947841921, 0.05992247000370554, 0.03912305361384483, 0.04579625893076544, 0.06361502501309835, 0.04540574017927568, 0.05554546632767565, 0.048358733273981325, 0.0784867770760993, 0.07901761327703649, 0.025351214399990774, 0.0, 0.038469466889592185, 0.04206923798280493, 0.049674701098102014, 0.029469784677661592, 0.03805974300967219, 0.036632955315894944, 0.0381024828636205, 0.036535817921295455, 0.038719763009353425, 0.06289223929571763, 0.5093170890907757, 0.46253671842394406, 0.49131751160091874, 0.4726627633908361, 0.5138963821197633, 0.4533625574097945, 0.3912486816130073, 0.5257008310480826, 0.6028519435661835, 0.4904320383026669, 0.42333019984303855, 0.5729758860728879, 0.5686738658876924, 0.6033995038949787, 0.5586017686280493, 0.44930927565752743, 0.4541176110955979, 0.5244042798765733, 0.539447584215484, 0.45807599130376286, 0.5476967614121582, 0.5257331948221655, 0.4934399652496566, 0.4153776069193974, 0.43116938425895135, 0.43527031542908, 0.4374771269984413, 0.4144655577906414, 0.418810815467883, 0.4634634178970739, 0.5297260861302315, 0.16732422176240225, 0.12032270029139192, 0.11008488042669473, 0.10191297642642261, 0.12142560780643286, 0.1392594655429259, 0.12456233298957009, 0.12096032590931416, 0.12514212629240518, 0.1480080171770407, 0.12026184128346273, 0.15158936711802218, 0.15642449915179424, 0.09391788272551305, 0.15069976912848893, 0.15931085392188715, 0.12600544234134192, 0.14169960043363694, 0.19237189105087982, 0.10932164667835931, 0.13355848406535098, 0.14858680544956793, 0.16497444705585396, 0.15201166331987048, 0.17044654603635712, 0.12500932980302937, 0.14815798857699525, 0.1404664162744913, 0.15450475128093866, 0.12110332497215281, 0.12341037982606817, 0.14564167794721405, 0.13088325702776205, 0.15247731719648594, 0.12588781998691245, 0.125734199594719, 0.09340695454461945], [0.036368386025098176, 0.059366894668362535, 0.060185472937661855, 0.07448107061264819, 0.09396012921130736, 0.058045333453912495, 0.041588639151282636, 0.0510860843496409, 0.061595129093156786, 0.06170802278311194, 0.038522584940793636, 0.045118856843630706, 0.034135027651301386, 0.05355467607727449, 0.050562378677323494, 0.045585474387825564, 0.060395488386543406, 0.05834502577767808, 0.039102783937334906, 0.03724132031196614, 0.041955340857896095, 0.06467437381960339, 0.04908214123937449, 0.040272809364664486, 0.06213028020078204, 0.03802570596864974, 0.061526759506352335, 0.046701103365469177, 0.06903830562308322, 0.0810174828246375, 0.033861132769423596, 0.038469466889592185, 0.0, 0.0322661324627066, 0.055594605692694254, 0.045667209913155205, 0.050027343141287095, 0.020052709275996783, 0.03987204482006779, 0.032680713496957, 0.029248165949201987, 0.07315566985897493, 0.5359073703686881, 0.5014671100242816, 0.5512776285722465, 0.5123017077995875, 0.5392915146164305, 0.5059924692485627, 0.47852890258202907, 0.5996070261608621, 0.6241373216953146, 0.5350269780441959, 0.4419921302414994, 0.567274443743564, 0.5661221939341357, 0.591709280952124, 0.5487885080704188, 0.4962707250807271, 0.5006676897506892, 0.5791831720583815, 0.580169190849755, 0.5186987504112148, 0.5800738792452931, 0.5838809882616718, 0.5491535746271862, 0.4555551268691189, 0.47302008122186767, 0.48974069224733396, 0.4786247010495427, 0.4503894143922331, 0.4782764595822514, 0.5078994361802587, 0.5519453941247972, 0.14854437260499564, 0.11181986027391344, 0.10262578710102499, 0.09146082440274594, 0.10637797855176301, 0.12440618112193569, 0.11728306440608494, 0.10240732777326234, 0.11326857784369504, 0.14445534289140427, 0.11149137797672082, 0.11842240228643697, 0.13623459588225484, 0.08880341821798832, 0.12452650927691045, 0.13355768786132272, 0.11320625446234045, 0.1094348534861973, 0.16171169101570482, 0.0908418586958043, 0.10913000725488942, 0.12916032791432608, 0.13628959313696154, 0.13411543556337058, 0.14733674785110262, 0.10561837673763752, 0.12984815294854501, 0.10489182200864455, 0.14538236283392325, 0.11626671123767107, 0.11298267270542828, 0.13627315221342884, 0.12544463012909746, 0.13008371336372682, 0.10696324241765942, 0.12690259223915235, 0.08951323736028338], [0.0411032052866086, 0.05400986938373464, 0.048395712619360265, 0.0665335468869408, 0.09794840010357653, 0.0414683024953898, 0.03189060497334162, 0.049285786999106906, 0.0536246150214994, 0.056942698860708574, 0.03358769002051831, 0.03809997990463543, 0.030492319698794956, 0.033518402590826724, 0.058442923564600235, 0.0296507371720931, 0.08357433197968422, 0.08275135768412045, 0.032943858937988124, 0.04808994172452474, 0.04568171706976665, 0.06371771951053795, 0.05476263982619678, 0.0451695925477229, 0.0698204778320245, 0.03323770599402853, 0.058881037551755, 0.04528453722376047, 0.06868020005727626, 0.06630098233947801, 0.05021993259879165, 0.04206923798280493, 0.0322661324627066, 2.220446049250313e-16, 0.062268843977659416, 0.048866810514516135, 0.058183628927679365, 0.025110568702214286, 0.04083489913926486, 0.046016280810594834, 0.037578237407355775, 0.07647832986268133, 0.5360217982533962, 0.49798930777544426, 0.5407495809316198, 0.5161216565254035, 0.5446914584083853, 0.5056656480557606, 0.46045319322203415, 0.577977975164097, 0.6242803153116818, 0.5292160080926487, 0.47017873413884503, 0.5998254264250392, 0.5994408664581111, 0.6325838165219084, 0.590240212270999, 0.5027098242619278, 0.5008424052772265, 0.567692762716403, 0.5815918736624688, 0.5053484085359888, 0.587106494276505, 0.5775869278220638, 0.5416140509984477, 0.45812122493013563, 0.4663726557591157, 0.4775236939661128, 0.47618804028129236, 0.46314552322738345, 0.4771807494268906, 0.5123740918527907, 0.5619282550541077, 0.17764486864712037, 0.13866233314439136, 0.13147483475531374, 0.11801376895622007, 0.13295850972816337, 0.1507816141427013, 0.13552162700894888, 0.1339591407591766, 0.13994133246550067, 0.1641095429117405, 0.1423991035451182, 0.15192083125128208, 0.16969627307646384, 0.10943513982629371, 0.158102307908205, 0.16025206439511575, 0.14684579789742147, 0.13707498258303863, 0.2064492277128115, 0.1131003160506856, 0.14765980483118069, 0.15114453484937662, 0.16233318599682367, 0.16295683716628295, 0.17080388060194251, 0.1265237712162488, 0.15970995623878703, 0.14887333310346917, 0.16296128171936197, 0.13762526479927983, 0.1382306604884176, 0.1567497235754205, 0.13254299069850617, 0.16150573223084796, 0.13365923462473228, 0.13426506863267695, 0.11208287910164028], [0.07356955315757285, 0.09128723838212105, 0.09141275433766227, 0.10383972790945017, 0.1494747589672193, 0.07071141537616088, 0.07334167064706032, 0.10825113277268728, 0.0967442773243099, 0.11146595395997883, 0.07034254130384021, 0.06170620538211413, 0.05522003773158779, 0.09259110504150359, 0.09078578230989676, 0.06754098580806911, 0.06112671977401407, 0.05753433504531691, 0.044122344933777646, 0.047721566982179775, 0.050777390282291, 0.04002100843659839, 0.047329206613756836, 0.047675084220819675, 0.04504429078732208, 0.05869723998480303, 0.035159481279682825, 0.040973428711469806, 0.044014012430026006, 0.06622639909062511, 0.04809388750405319, 0.049674701098102014, 0.055594605692694254, 0.062268843977659416, 1.1102230246251565e-16, 0.021965503382644247, 0.029201129014784666, 0.05830915489072275, 0.030934968990943612, 0.06752414194609369, 0.06925033199205499, 0.11333628848792943, 0.5022569961863528, 0.47773252172158387, 0.48875880152195916, 0.4515284563663101, 0.5059080933216046, 0.4577909594496645, 0.4193612539399345, 0.5446598700042213, 0.5911255074881585, 0.4956071887597785, 0.43670878190834317, 0.5678493098542214, 0.5704184074039924, 0.6064357164889935, 0.5610379964823813, 0.4592887862183306, 0.45599904765855714, 0.5160007990495629, 0.5310809642532295, 0.4685127719349561, 0.5312326083672034, 0.5244435477570262, 0.49353250756013056, 0.4229876783982196, 0.44219470352804746, 0.4350834241220769, 0.4383744381552156, 0.4134646152169813, 0.41793493766973255, 0.45531491627548204, 0.5063709538367331, 0.16928015054923817, 0.11498789718496116, 0.11148515598772002, 0.11869563205444722, 0.10662376717651989, 0.1401020153788849, 0.12708776164622027, 0.12143630252882909, 0.1188275433693331, 0.15071062469433238, 0.12039112488588655, 0.14490915063866405, 0.1499633601285869, 0.10179325341413603, 0.1401210778745683, 0.13853571333280112, 0.1298024771107611, 0.11778347110097342, 0.15638738321286483, 0.0941717299399003, 0.1225122683629063, 0.13314335494481333, 0.14803755729176016, 0.13958527917386676, 0.14434656895865206, 0.12804791650971992, 0.1539963570394427, 0.13908827846345118, 0.1557431293796011, 0.12377144585764988, 0.1158771347891322, 0.1254798316203527, 0.13463226746694712, 0.15046319291544274, 0.13002152504657616, 0.1247158593497677, 0.09709963699054291], [0.05032615308330102, 0.06310669135059155, 0.06682097980028145, 0.07760130555482758, 0.12298935798657307, 0.05369858488947099, 0.06519021962427896, 0.0808014571072655, 0.0747350615063338, 0.09673922080780994, 0.04669045288574081, 0.04359588204777043, 0.03740831559262969, 0.06758494674688353, 0.06749981225742974, 0.05035667064286009, 0.04529140780382135, 0.04536170290141828, 0.038273942831975605, 0.031523452212475545, 0.038241582417179454, 0.043975961510489436, 0.03675591172233228, 0.040960090557006446, 0.04665701848190851, 0.049132412914326684, 0.038762534923663994, 0.04140635595664621, 0.05743090812418172, 0.06963033736539503, 0.026167119638050185, 0.029469784677661592, 0.045667209913155205, 0.048866810514516135, 0.021965503382644247, 0.0, 0.026398150825714062, 0.04288920389738071, 0.025252773178357613, 0.044282525624892544, 0.04755469522138056, 0.08388655427463154, 0.5096623488176926, 0.47490121685695896, 0.5044737571654534, 0.4705342153853259, 0.5171955234500161, 0.46019437539690333, 0.40340265422239885, 0.5271757053518036, 0.5974570517785549, 0.4942344101305105, 0.4054080569784979, 0.5459383809446828, 0.5416138685591303, 0.5792548358540046, 0.537809830753942, 0.44260239677690816, 0.46238419990211144, 0.5288790267055223, 0.5391018945062556, 0.4717386359400436, 0.5480968990851408, 0.5376079600152801, 0.507243223226738, 0.4219821776483559, 0.4359844881573357, 0.43354317930877606, 0.4303083402200497, 0.39948289712922946, 0.4262646274333942, 0.46775469587135055, 0.5293741380470969, 0.16480303518555073, 0.11158822233500887, 0.10706835819379168, 0.1055487837521697, 0.10847417622020816, 0.1388535871399088, 0.12395406068192183, 0.11660212551097515, 0.11598991039613427, 0.13987233119179632, 0.11531926693381578, 0.14115019848481436, 0.14657922083511765, 0.09733446472063034, 0.1400618473817289, 0.1463555916581386, 0.1186981024772602, 0.12462888593250221, 0.1687344474141621, 0.09452458702681743, 0.12288987019665842, 0.13739087151048102, 0.14863222514424856, 0.13734653894673787, 0.1525647024041128, 0.1248372814962152, 0.14946953785676087, 0.13361353085506866, 0.15254120767652968, 0.12146927807707109, 0.12051043252336524, 0.13197886560467476, 0.13237357046608644, 0.15044162961143936, 0.12353063589565505, 0.11992689755742492, 0.09056695722309549], [0.056094534666981444, 0.07333967194848856, 0.08200027112432129, 0.09572534817124523, 0.1450131934914587, 0.05023566779169142, 0.07004747555698876, 0.09496632130595128, 0.10024420875105966, 0.11333813279801286, 0.054776556329016235, 0.055972359196660215, 0.04610266293729692, 0.07200390943854451, 0.08026159735777194, 0.04948067988827287, 0.05162228666198465, 0.053149454157225606, 0.03620254752721819, 0.045239988564786504, 0.0520027077838936, 0.04912731117642788, 0.04048201876315094, 0.04003727689897729, 0.0557895960119702, 0.05394902005905422, 0.04205902538703876, 0.034788951605998486, 0.053666890095038444, 0.07589563066987026, 0.04404011519044004, 0.03805974300967219, 0.050027343141287095, 0.058183628927679365, 0.029201129014784666, 0.026398150825714062, 1.1102230246251565e-16, 0.041515225012182855, 0.03166708291138565, 0.052126331971330764, 0.05997254725902035, 0.08289548747541098, 0.5052642155207876, 0.45903366539709956, 0.49422718423311185, 0.479067932509629, 0.5155350457004438, 0.4636600267313774, 0.4364765510157965, 0.5724245468534459, 0.6124367296389019, 0.512505318844981, 0.4567034116374419, 0.5859456652428557, 0.5908929692350549, 0.6241540290262206, 0.5781678411268085, 0.48832535372065766, 0.46692839923860974, 0.5255254399210569, 0.5494668645892238, 0.457928320160065, 0.5503428718622506, 0.5401425748030254, 0.5039103271350092, 0.4144914456830502, 0.43331626068254503, 0.4542664313317356, 0.46349620727518415, 0.45646086732788393, 0.4265056518496805, 0.4625419472820501, 0.5254941013303844, 0.17989346484590774, 0.1225424012216959, 0.11560073250763725, 0.11747114266604441, 0.11225672000925946, 0.15169913313715777, 0.13197886350537769, 0.11357337182213167, 0.1305065620129321, 0.1577878506705479, 0.12088439527610728, 0.16150530799669094, 0.1700345064550547, 0.0955415636248731, 0.14849274700320558, 0.15902996900917632, 0.1300513706869565, 0.12433925707906468, 0.1748963286282812, 0.09222697406610281, 0.1251711689608378, 0.14242915081295726, 0.16045997631310494, 0.15051038686079954, 0.16352438656466672, 0.12982694283848084, 0.1575797074734403, 0.13664020557366352, 0.1633826285417339, 0.12068657349089229, 0.12635559724389223, 0.13563003690786246, 0.13086794175641436, 0.16022872642701147, 0.13159689995417967, 0.12314518026518917, 0.0893747651646688], [0.030905213617978156, 0.04879702407050257, 0.04997937043538114, 0.06343160572281104, 0.09343763413797701, 0.04154684902754413, 0.04010923275100853, 0.04681898390232864, 0.059382470037675716, 0.06354705905524849, 0.03889551758185461, 0.04394772029399441, 0.03074508859500591, 0.04338695980835028, 0.05455366066568568, 0.031924046766251823, 0.06402742162206965, 0.06244491574348787, 0.03093647174492542, 0.03690260640778331, 0.037678158938007966, 0.06461201851432041, 0.042982572265634955, 0.03858794474147875, 0.06565864103885488, 0.0320591835227344, 0.05492630519930297, 0.03991096209828593, 0.07053320128944174, 0.07442770604159044, 0.03956749706953255, 0.036632955315894944, 0.020052709275996783, 0.025110568702214286, 0.05830915489072275, 0.04288920389738071, 0.041515225012182855, 0.0, 0.03984871099911236, 0.02751234156698623, 0.025595549735078493, 0.0552745745309996, 0.5404096484658567, 0.4942769969972277, 0.5479119903196086, 0.5163800566391306, 0.5398837388900024, 0.5025679901698268, 0.46760676444656235, 0.5826074191557808, 0.6282978009523887, 0.5283311940333094, 0.44522036334830517, 0.5648654918283849, 0.5612230081744847, 0.589324125553392, 0.5538536407929572, 0.48656481126911333, 0.4946890492977536, 0.578759191814396, 0.5683912607056143, 0.5064719956887989, 0.5820631062590997, 0.5774690175340408, 0.5465655371498757, 0.4448823154089324, 0.46597221347296336, 0.4889741840688736, 0.47286120869633985, 0.45188789690786635, 0.4657728906959768, 0.49929148969926973, 0.5503486434179032, 0.16710599728702324, 0.12671425941692427, 0.12119346295694478, 0.10363384424703903, 0.12075262371386541, 0.14446088623733055, 0.12783128542757216, 0.11556308498360335, 0.12782630722176203, 0.1552070117254123, 0.12614611016957944, 0.14233155680493448, 0.1565882520802071, 0.10033160949674003, 0.14753731114514945, 0.15392979953636, 0.1332577700576576, 0.12977059701141536, 0.18494444625906337, 0.10261387245999509, 0.13047936336010713, 0.14632777104126993, 0.1584329895633182, 0.15506889448266425, 0.16859199625824184, 0.12076312686385648, 0.1495891950661189, 0.1266135342891207, 0.1634197052783518, 0.12483984746411059, 0.1286088955015665, 0.14761368886279924, 0.1314222912423746, 0.1497767039609289, 0.122135942096394, 0.13022419458886914, 0.09680806226229788], [0.05237166452441688, 0.06853191681745785, 0.0714681747373489, 0.07823798427133744, 0.11720807379933085, 0.05796495579887728, 0.05791792920228267, 0.07417436024798463, 0.07200632470570101, 0.07960883853716372, 0.04671605028877224, 0.05061554411937752, 0.03580265853939524, 0.06628235324097198, 0.06509885569199791, 0.0470553500851989, 0.05977624132105819, 0.057713619070064004, 0.04229802898475998, 0.03852300219224525, 0.037297911630684744, 0.04251728678651323, 0.04044445133374164, 0.044660898265088345, 0.05346189136142454, 0.0429208364909307, 0.03793053398572099, 0.04176407131149984, 0.05716195808970792, 0.06098120387510375, 0.0365824517599207, 0.0381024828636205, 0.03987204482006779, 0.04083489913926486, 0.030934968990943612, 0.025252773178357613, 0.03166708291138565, 0.03984871099911236, 0.0, 0.03755645647618733, 0.05339239519114247, 0.07979320278776203, 0.49741945592611325, 0.4635142098767947, 0.5056070832806109, 0.4712881691623092, 0.5162935999848812, 0.47093634082819547, 0.4102995488133204, 0.529354682867464, 0.597981960895115, 0.4912301391410162, 0.44317578120539036, 0.5885994642638572, 0.58864010873285, 0.6202042107893289, 0.5763088496002816, 0.4593311949807105, 0.455532852719164, 0.5367827805210972, 0.541365493826719, 0.4600619662731159, 0.5490475818130081, 0.5279450280219569, 0.4966531556700087, 0.43973518910817067, 0.44305987070120645, 0.43223514488294135, 0.4257870546458554, 0.42197330894581364, 0.4248408061367007, 0.46508693856960226, 0.5273139976143679, 0.17133695361542434, 0.1168188294275786, 0.11306383700757594, 0.11372858948599973, 0.11446123799561136, 0.14038944497960604, 0.12886882578336645, 0.12656508769211727, 0.12353233050373014, 0.15747655495105284, 0.12764245880885838, 0.142024229210456, 0.1557864244963787, 0.10423349024114748, 0.14730050632089686, 0.14479835274666875, 0.13250232228251657, 0.12335686826989023, 0.17871507344172144, 0.09952368619671359, 0.13258880029100528, 0.14153514544155554, 0.15346848350346087, 0.14823584471019702, 0.15557224014242865, 0.1259601126639247, 0.14547822160268964, 0.13990200341174908, 0.15581990867969497, 0.13030332495093055, 0.12858801938868802, 0.14751001082601156, 0.13899819751412668, 0.15722853854240915, 0.1324931630566034, 0.12643504084992718, 0.10383009931369147], [0.03809075020660735, 0.05305396340978363, 0.057729238516707415, 0.04808522036607654, 0.08123007183781727, 0.04636161550968665, 0.05986461603145432, 0.047812047836397475, 0.04934228163005849, 0.05840764079288485, 0.039545072535094095, 0.04218104390592714, 0.029507207049018658, 0.05488382145632742, 0.040748870052261466, 0.048282601053746044, 0.06092471281281486, 0.06338560538039772, 0.04424775021865368, 0.022755256182964034, 0.03223187663790372, 0.06815630853693033, 0.03362703688042323, 0.04293670065584232, 0.06850408983941125, 0.040540543763577075, 0.05873319604300298, 0.055309786201830025, 0.09257861613416596, 0.09074103632719732, 0.03621271339832466, 0.036535817921295455, 0.032680713496957, 0.046016280810594834, 0.06752414194609369, 0.044282525624892544, 0.052126331971330764, 0.02751234156698623, 0.03755645647618733, 0.0, 0.02453314874552881, 0.04629777799376977, 0.5245981141374427, 0.4795791660945101, 0.5308427154039104, 0.5064054079593396, 0.5308879877165287, 0.48520230952208154, 0.44491946522866066, 0.559604690423027, 0.6110476186621944, 0.5023191904299245, 0.3984207107207769, 0.543751729176134, 0.5425682014379881, 0.5632388413921672, 0.5185586153501144, 0.4526205523192116, 0.47181349778774606, 0.5576837063280324, 0.546706436846246, 0.48256091422092684, 0.5664361405182317, 0.5508858482940391, 0.5235763572092491, 0.4389269878708302, 0.45247232673435345, 0.4654166511728729, 0.45562911929031724, 0.41927160563951826, 0.4455699311496645, 0.4881835703023083, 0.5550761610974646, 0.1782456672767726, 0.13136871077031864, 0.12493123354720881, 0.11871319993714358, 0.13916520100386465, 0.15837661751969556, 0.1390468901967321, 0.1473717044824866, 0.14431182426821887, 0.17588288750546344, 0.1401973710830362, 0.15707043582340396, 0.16331512150997085, 0.11655394876816683, 0.14996235203445718, 0.1694974213859125, 0.1385951156376588, 0.15030142662159462, 0.20255163917064367, 0.12314786796340704, 0.1401370483554515, 0.16523677923657665, 0.1686546240242982, 0.16198593369300784, 0.18005030387293453, 0.13500392462596056, 0.1513388177451468, 0.14790164201046263, 0.17042906404958824, 0.13732831538287027, 0.15100948301047123, 0.16768568511199633, 0.1518925420084557, 0.15897571278835076, 0.14300465427201203, 0.14541275694993017, 0.11124005419116256], [0.030636784825959662, 0.03979763496231292, 0.05108249237873519, 0.04257491890280962, 0.06939753847783015, 0.0395775313072263, 0.042698151619576685, 0.03792743463835624, 0.044841462157845347, 0.05011803965914963, 0.03345805314519512, 0.03466104106967849, 0.032805813860948274, 0.048492954189533255, 0.042611905332512245, 0.047654641537282605, 0.08129565130879646, 0.08538670199889253, 0.04370059559026518, 0.03515645103381826, 0.0405368176392118, 0.07922466365069458, 0.049295945137578734, 0.052836675148674406, 0.07757540840752974, 0.04612601936611893, 0.07407012565468629, 0.05842311706865866, 0.09645280376283605, 0.10522049408677536, 0.04577914388785531, 0.038719763009353425, 0.029248165949201987, 0.037578237407355775, 0.06925033199205499, 0.04755469522138056, 0.05997254725902035, 0.025595549735078493, 0.05339239519114247, 0.02453314874552881, 0.0, 0.04752332407394155, 0.5450755689681619, 0.5017660655069034, 0.5471153005067273, 0.5196953563211446, 0.5417757795618212, 0.49495759792211846, 0.45752289120473344, 0.5849451778180448, 0.6386185411117492, 0.5376494599441367, 0.3836044499367105, 0.5108600403654895, 0.5132179580693697, 0.5327600055132296, 0.4876284253629618, 0.4615204180761233, 0.500449675850938, 0.5763280584111008, 0.5677662720202642, 0.5133827063103659, 0.5873695518925126, 0.5855591359425276, 0.5578843379778073, 0.4560210615569259, 0.46682170600166695, 0.49504180950549626, 0.4859438369995813, 0.42769941967873903, 0.4710470010179041, 0.5091108100404452, 0.5655487505182641, 0.1643365945425873, 0.12740454559516967, 0.12334397846191192, 0.10436308756464863, 0.13678785598454812, 0.1517826059664792, 0.13460911525286234, 0.14519325377490266, 0.14130081635361547, 0.16650088302117882, 0.1371124856934629, 0.14766185393708386, 0.14553437522618307, 0.11097099242904807, 0.14576414596597675, 0.1693569582320622, 0.1325423035406721, 0.15042897804327182, 0.2050194212618487, 0.1184706100469044, 0.13250121124464442, 0.15772514921853253, 0.16826887770826415, 0.1560167135212368, 0.17710814947956055, 0.12000045780587476, 0.15265225617950584, 0.14541257016671694, 0.1686997565579509, 0.1298631757668044, 0.13790252312965978, 0.16426436931979405, 0.14443239007198239, 0.1511012490257636, 0.13212226759356305, 0.14075843722346637, 0.10266464938028563], [0.05466414744544279, 0.05953848826336017, 0.06884039054232416, 0.06454701497325266, 0.09490356624832064, 0.059639902462351735, 0.08481884877759305, 0.05811329433130641, 0.08583797169267682, 0.07711502166942663, 0.06479515332579033, 0.07204138698188889, 0.059267644287858356, 0.06250510793930031, 0.07236719913726675, 0.058939874154678606, 0.11558668026565233, 0.11712449309645845, 0.08264786271619085, 0.06669139868137908, 0.0765677515508657, 0.12173877474486683, 0.07698027794765638, 0.0908257641973289, 0.12767836725223847, 0.07633169728585842, 0.10810739831881233, 0.09528330002100938, 0.14804653168877768, 0.1471883865977932, 0.07675350228833777, 0.06289223929571763, 0.07315566985897493, 0.07647832986268133, 0.11333628848792943, 0.08388655427463154, 0.08289548747541098, 0.0552745745309996, 0.07979320278776203, 0.04629777799376977, 0.04752332407394155, 1.1102230246251565e-16, 0.5329402438140742, 0.4737788049776571, 0.5238843933383783, 0.516594328829745, 0.5372889999014934, 0.4851166773746076, 0.44082528510648755, 0.5601110650348802, 0.6353224578797514, 0.5165570296279782, 0.41948916477485065, 0.5704271045299643, 0.5735032794685153, 0.5937861337281959, 0.5476923289208948, 0.46412370315769347, 0.47581907927295086, 0.5636512380091911, 0.5496376437362271, 0.4761730133628109, 0.5766866252099629, 0.5576767930405879, 0.5314763791331374, 0.44204506639883845, 0.4453372983592564, 0.48152735470236707, 0.47594093575155905, 0.4514442136229372, 0.4463286110160777, 0.4852936136101931, 0.5588474316426203, 0.21373729879935777, 0.17615080111077264, 0.16601810732220323, 0.14851002620401277, 0.1813186545720814, 0.202348912492752, 0.17188370479932258, 0.18748079687696673, 0.18771183589672658, 0.2148061855384168, 0.18272254912634134, 0.2097607072704506, 0.2056055508045923, 0.15297339657866715, 0.20084989407211384, 0.22227162400925848, 0.1865698620971834, 0.19948341081964915, 0.2630003541850222, 0.16104587842588758, 0.18629481615005972, 0.20996916225243656, 0.2251198059552172, 0.21434806736937118, 0.2358142520908999, 0.16657847631951206, 0.19221939812538325, 0.19705861586745188, 0.20896478427450982, 0.17103411918997125, 0.1880371055303467, 0.21126126329220318, 0.18252987951094557, 0.2022050757279581, 0.18520040303900065, 0.17290799519031796, 0.14171442442676274], [0.518300520214082, 0.5535250336320299, 0.5357379133984566, 0.5384913313192656, 0.5837122908958805, 0.5478775474098996, 0.5720446289752114, 0.5533688132264931, 0.5364026935781114, 0.541218489958167, 0.525277848804776, 0.5213037020871876, 0.4966497842156319, 0.5428271457917896, 0.5410044412086303, 0.5025793828382428, 0.5253274173499259, 0.5004171926041106, 0.5298459058057792, 0.5021952056655343, 0.519060082075752, 0.5108649310266571, 0.5005364260221157, 0.5136909987161336, 0.5274520879302382, 0.5182024231623039, 0.508361886524336, 0.5199934279534384, 0.5481963341360673, 0.5316539611609663, 0.49343042416196525, 0.5093170890907757, 0.5359073703686881, 0.5360217982533962, 0.5022569961863528, 0.5096623488176926, 0.5052642155207876, 0.5404096484658567, 0.49741945592611325, 0.5245981141374427, 0.5450755689681619, 0.5329402438140742, 0.0, 0.053279578476510436, 0.23982247637513443, 0.1542363459825673, 0.06937687939004, 0.12344744648703077, 0.41011176033183405, 0.6116820016097633, 0.20431385604309837, 0.34745895103597746, 0.49696081268713166, 0.7150778050551291, 0.7539479194698439, 0.7534188174944392, 0.7045965449692893, 0.5171129798188088, 0.27563353934719914, 0.35664385224431594, 0.36782253590579905, 0.2515840410114084, 0.3573516098231404, 0.34462607925810407, 0.28160529618351227, 0.17099658337516588, 0.08827756490211536, 0.25767741879500794, 0.3066033041683699, 0.45162106464768403, 0.19195417416627192, 0.2107954532238704, 0.26132689909908513, 0.5128788835719823, 0.5108129194244682, 0.49698736661267306, 0.528245585490016, 0.49269421608684916, 0.48438498241109385, 0.4664861965132491, 0.5165316010128209, 0.4923561807578988, 0.49349858353535137, 0.5092961289378611, 0.553234234968057, 0.5398599355368439, 0.4769773094139371, 0.538417941964286, 0.47446968946589785, 0.513141014521205, 0.49792579564604666, 0.5152251615756165, 0.48953403266686935, 0.5241271167131213, 0.5187406895903639, 0.5343649585352768, 0.5211064695151579, 0.5277299697612832, 0.5036440551060565, 0.4950228363926191, 0.5452323649405673, 0.4894328394453469, 0.4840065992270356, 0.5124700896002525, 0.5121658494280508, 0.5026480705291706, 0.5421545632958968, 0.5460838840922668, 0.5209627467483214, 0.5119007090877586], [0.46964976898923083, 0.5048304235652066, 0.4875873311965029, 0.4936930623196699, 0.5482708571252725, 0.4928899496504282, 0.5326932487033752, 0.5088165894557949, 0.5062676684442915, 0.5094027482375483, 0.486473449430878, 0.4839880521199149, 0.45748222735736255, 0.4948108478142317, 0.5033945413044166, 0.449134568300244, 0.48641417988284785, 0.4609794820978347, 0.4913899370567618, 0.4612481552746672, 0.4763233231778181, 0.48333785588785416, 0.4572993996714685, 0.48105715779269986, 0.5032396262809393, 0.47817185900729176, 0.48318986107205153, 0.49200053320315107, 0.5250674162661406, 0.4965552697241281, 0.4576273888267577, 0.46253671842394406, 0.5014671100242816, 0.49798930777544426, 0.47773252172158387, 0.47490121685695896, 0.45903366539709956, 0.4942769969972277, 0.4635142098767947, 0.4795791660945101, 0.5017660655069034, 0.4737788049776571, 0.053279578476510436, 0.0, 0.2564919522243433, 0.2091201081544367, 0.09442007053003143, 0.1441242436072091, 0.4012646854007812, 0.6111548228955141, 0.21591750722292302, 0.3317559883482448, 0.49950310128156405, 0.7170236844250115, 0.7540691397935274, 0.7570052313572813, 0.7149819407630438, 0.5247662696343107, 0.28317013551983716, 0.3938766498143651, 0.40088573302092145, 0.26201813199486645, 0.3922604373405394, 0.34658274980369297, 0.2910370206477263, 0.1646838826985615, 0.0953075557200943, 0.2617132629807879, 0.31381419452452497, 0.46895166822746837, 0.2057483205825793, 0.23761008009632, 0.31198391262791514, 0.5034235666278777, 0.49600401996310595, 0.4823889068339353, 0.5077020250839335, 0.4804143543172219, 0.48016630766650903, 0.4617491792051539, 0.48393820451748226, 0.47756984329373386, 0.47864051961667575, 0.4859658109272488, 0.5494492977167152, 0.5288995375658307, 0.4522791900644766, 0.528599062265505, 0.4751635571696985, 0.5036575022104972, 0.49758648363670377, 0.5198085743764366, 0.475953553138289, 0.5118570521969438, 0.511273459898296, 0.5305804618524881, 0.5141550039378617, 0.522220368990981, 0.4911756612163136, 0.4810235151294493, 0.5334447638007247, 0.47942611378759636, 0.4738920708127329, 0.49900829964697535, 0.5021926181264409, 0.4802908007468809, 0.5299047189278061, 0.5260408803661141, 0.4994289176251827, 0.48395439232106297], [0.5219084685910663, 0.5354045886897463, 0.5185953662713969, 0.5329948248216868, 0.5897357858079388, 0.5330871693821331, 0.562127785315883, 0.5653587807237095, 0.5216737784396527, 0.5347176525930771, 0.5117967675437716, 0.504201514600942, 0.4976021193207545, 0.5241483337595725, 0.5399411848927349, 0.5139488735713436, 0.5063527225534908, 0.5127655986275138, 0.5032170017641596, 0.5011487329439976, 0.521175298360411, 0.49733011172737085, 0.48069140936235477, 0.5008018198124884, 0.5008059841763184, 0.5110752115732364, 0.4923864761756124, 0.497295889834257, 0.5294120243932332, 0.5205754925808994, 0.5110884473115851, 0.49131751160091874, 0.5512776285722465, 0.5407495809316198, 0.48875880152195916, 0.5044737571654534, 0.49422718423311185, 0.5479119903196086, 0.5056070832806109, 0.5308427154039104, 0.5471153005067273, 0.5238843933383783, 0.23982247637513443, 0.2564919522243433, 0.0, 0.10147901636673151, 0.22010875383452055, 0.08130528880821719, 0.3135985909389247, 0.5005837223989786, 0.33209876375578296, 0.3422690035349639, 0.4886857948903256, 0.7144095566500366, 0.7341067049655304, 0.7613887996149016, 0.670243844939499, 0.38712514792381036, 0.13678903619050176, 0.10028441983152536, 0.19364318138158898, 0.1574302935076637, 0.1272997060604545, 0.13909390798501975, 0.12920205319335054, 0.21143423062884292, 0.180628448497146, 0.216820383005784, 0.2957338057732367, 0.41306105708823804, 0.11352442989057354, 0.14591831375111586, 0.17934186062248947, 0.5161095682950503, 0.5034526115577799, 0.49817119570497503, 0.5143707860762692, 0.4895360440479495, 0.47686940810881084, 0.41898629616329586, 0.5106485993245846, 0.4838332007876782, 0.48094534035750514, 0.4878588204228165, 0.5585443699214092, 0.5310952079747486, 0.44945979815655157, 0.5363912854682427, 0.4685111003559663, 0.4962197703696062, 0.4992477413933617, 0.5145009591615539, 0.48502868738304716, 0.5252448623570458, 0.5120521299340646, 0.5375444896083108, 0.5121885768284143, 0.5207563989262463, 0.5091990835602971, 0.5154366015822587, 0.5628636899373307, 0.4735452096608812, 0.4696724457930558, 0.49171209709218144, 0.4829620596265153, 0.48690173659041036, 0.5342627807620249, 0.5418034087373422, 0.4926890206666039, 0.497935347560545], [0.49104187903217456, 0.5168634707948712, 0.49632837280408926, 0.5084502482963875, 0.5614416906328904, 0.5259550336241017, 0.5429783138140771, 0.53872083366274, 0.4938404827729085, 0.5089039210803726, 0.49459431442529755, 0.48968027906765177, 0.46489363375051684, 0.5196276050731814, 0.5171098702410821, 0.4878635368772326, 0.48280756127245195, 0.47425383249151265, 0.4881125094154568, 0.4739219061262495, 0.49043102650483894, 0.47194993643838334, 0.4624385138642453, 0.4820016447990175, 0.474119517125106, 0.486516546458693, 0.46526426684197264, 0.4725609521064549, 0.5008328978851602, 0.4986410716177384, 0.4688144217079132, 0.4726627633908361, 0.5123017077995875, 0.5161216565254035, 0.4515284563663101, 0.4705342153853259, 0.479067932509629, 0.5163800566391306, 0.4712881691623092, 0.5064054079593396, 0.5196953563211446, 0.516594328829745, 0.1542363459825673, 0.2091201081544367, 0.10147901636673151, 0.0, 0.10170432160641285, 0.0712200114689453, 0.2917468896873677, 0.47427473847734036, 0.24709062104785406, 0.2781269235635474, 0.43260531649291445, 0.6609767406198906, 0.6673578425277684, 0.6918803828995569, 0.6284983532171212, 0.3548911575586311, 0.14388315916675565, 0.20000582719158777, 0.1952573295049681, 0.16298629041247303, 0.1782871687020432, 0.17168970054203225, 0.14407195722144028, 0.13620649468659884, 0.13270685284151673, 0.18482032383051417, 0.21532389960645193, 0.3051880815982294, 0.07203516351550532, 0.0772170988140537, 0.09610145031625617, 0.4545848925977135, 0.4529301321066782, 0.44686764800138223, 0.47176871141739307, 0.4378125692522451, 0.4150469767570426, 0.3785449982021807, 0.47485352304945583, 0.42672888246232643, 0.4270984895750848, 0.4474154026770314, 0.502908840034243, 0.47644527649383994, 0.4173908141506478, 0.4932265926264623, 0.40516295862242335, 0.4492190226382998, 0.4444777469395067, 0.4518859353596264, 0.43768779386928214, 0.4754604591277495, 0.4606688124309194, 0.4914009105145666, 0.46130540709070356, 0.47309051559139015, 0.45446801419668215, 0.46212435702597765, 0.5139620755616092, 0.4238567149796434, 0.4238869135855313, 0.4459888681194294, 0.43872825308036123, 0.45187651423243114, 0.482307897301097, 0.48997444537866697, 0.4630106416594342, 0.4617805430362236], [0.5147824497680147, 0.5512209666113411, 0.5387419738838063, 0.5393476046287402, 0.588820705093638, 0.5538540262939413, 0.5771811857782729, 0.5602101294621755, 0.5296583878179271, 0.5475872409956373, 0.5303299703086549, 0.523902397793702, 0.5011016419407415, 0.5547512196496633, 0.5508090885312062, 0.5104242096037857, 0.5268206340958959, 0.5118417949354251, 0.5298309990905611, 0.5019928061831798, 0.5200222051693855, 0.5188262062370116, 0.5069628755776455, 0.5229336400176345, 0.5306337237239738, 0.531439646711525, 0.5175052362597212, 0.5212973054325598, 0.5477167038170868, 0.5449678047111257, 0.4990357551406195, 0.5138963821197633, 0.5392915146164305, 0.5446914584083853, 0.5059080933216046, 0.5171955234500161, 0.5155350457004438, 0.5398837388900024, 0.5162935999848812, 0.5308879877165287, 0.5417757795618212, 0.5372889999014934, 0.06937687939004, 0.09442007053003143, 0.22010875383452055, 0.10170432160641285, -2.220446049250313e-16, 0.0911609416896263, 0.4078330952616538, 0.6121930191689073, 0.19105562596643455, 0.3100808129041025, 0.46839630969474677, 0.6780926650051531, 0.7008468384565691, 0.7090447861695979, 0.6684715724677571, 0.48477903181329585, 0.24975331415538493, 0.3609444277142805, 0.32820723232559346, 0.2550648538107163, 0.3272186508413998, 0.30460975213316344, 0.25592286168241396, 0.11541461288927679, 0.07976165648289835, 0.2522722814526369, 0.29365897044148015, 0.3974436568067191, 0.14646234932215663, 0.141020549193267, 0.17463050030011606, 0.5045878341286374, 0.5136548478346836, 0.5060657816481395, 0.5243048687521821, 0.4970225312906963, 0.48507956696383847, 0.46450297087749504, 0.5243585617231312, 0.49209703136288363, 0.4841332169745418, 0.5033494845615922, 0.5579130103028124, 0.5323653967027637, 0.4789849698236164, 0.5445876786892865, 0.4720167440872638, 0.512323091722519, 0.509213329278924, 0.510397292114704, 0.49229326019422903, 0.5239833582345899, 0.5209194266827135, 0.5495328512247547, 0.5250844790370799, 0.5351775384184627, 0.5021458741280744, 0.5130969111021093, 0.5464762269711949, 0.49732520823659854, 0.4865578632590234, 0.5082421003831864, 0.5114376439525595, 0.5104637255089672, 0.5457251947748134, 0.5376159770149711, 0.5316742848486042, 0.511678542224896], [0.4684422994104338, 0.4930839406024682, 0.47786484286954145, 0.48421633697209454, 0.5393438114325946, 0.49815634262387243, 0.5298260497059288, 0.519378104716749, 0.47531860772867895, 0.4983544967138356, 0.477346689454051, 0.4673170213542738, 0.4548756042642913, 0.4952854978656943, 0.49604422171476836, 0.47293845151737246, 0.46734358861031977, 0.46297513146564073, 0.4716558079102541, 0.4525357857512493, 0.4745447489396025, 0.46289475580619155, 0.4438732636163579, 0.4652304463849469, 0.46499488666122923, 0.47736790269391705, 0.45685205093882764, 0.46411334919661074, 0.49950942028694045, 0.494781811608326, 0.4572331021607634, 0.4533625574097945, 0.5059924692485627, 0.5056656480557606, 0.4577909594496645, 0.46019437539690333, 0.4636600267313774, 0.5025679901698268, 0.47093634082819547, 0.48520230952208154, 0.49495759792211846, 0.4851166773746076, 0.12344744648703077, 0.1441242436072091, 0.08130528880821719, 0.0712200114689453, 0.0911609416896263, -2.220446049250313e-16, 0.2858471038850333, 0.5053133329846549, 0.22883465081438847, 0.3019087562454916, 0.39960680861157205, 0.6149646235863184, 0.628880752726571, 0.6578095995068596, 0.5906382991781147, 0.37518413990691424, 0.16860205589714972, 0.19157388894015848, 0.23885881474130288, 0.18546406876763222, 0.21268403692577176, 0.19463153320504312, 0.17145570215281325, 0.1421507422259366, 0.0925514616476314, 0.2025462335681163, 0.2512861992953753, 0.34122731375613613, 0.09875419963232002, 0.12277688241367268, 0.17207280799237223, 0.46716301019699424, 0.4615706191374107, 0.45455781993446165, 0.4661664878421645, 0.4515976994021884, 0.43377568139751765, 0.3957547511732732, 0.47537281466228554, 0.4392248133431915, 0.43549957041351905, 0.45134482919552465, 0.5082980230243488, 0.47868525351781843, 0.4178756783838683, 0.49926459534069323, 0.4316563610522237, 0.4503885201040543, 0.467889895865114, 0.4761643060122698, 0.447083104186614, 0.480104310899109, 0.47459628952301425, 0.4996730554058957, 0.47003370567456704, 0.4876732898761291, 0.46674193869573044, 0.4734956830879159, 0.5110814948951093, 0.44131561614331727, 0.430466599849032, 0.4544107702049457, 0.45815052321105, 0.4609209628567398, 0.4942010913096365, 0.49719339703741017, 0.47254761625066877, 0.45811279255204884], [0.42833999526961186, 0.4416640931909881, 0.4106555968868797, 0.42967391415679224, 0.49905378130858424, 0.4354677842011878, 0.46947525790315126, 0.4649701439894509, 0.4158162164627961, 0.44384118513871906, 0.45137141813373605, 0.4418811784000991, 0.4048652407802965, 0.45608141682055525, 0.45559775855123075, 0.43181740584283557, 0.43966337151831625, 0.4662459839983859, 0.43733364234203886, 0.4220884586805259, 0.4327848640892946, 0.42407042672542694, 0.40637156817047393, 0.4599444812070048, 0.4474061734128174, 0.4449215152215118, 0.42843758980316826, 0.45065132990458445, 0.4849488797715936, 0.4416202314147013, 0.4317227246736156, 0.3912486816130073, 0.47852890258202907, 0.46045319322203415, 0.4193612539399345, 0.40340265422239885, 0.4364765510157965, 0.46760676444656235, 0.4102995488133204, 0.44491946522866066, 0.45752289120473344, 0.44082528510648755, 0.41011176033183405, 0.4012646854007812, 0.3135985909389247, 0.2917468896873677, 0.4078330952616538, 0.2858471038850333, 0.0, 0.12115843239157253, 0.44049499524529667, 0.28110932426991997, 0.3643686859375197, 0.6001348837084379, 0.6011479684110387, 0.6494627102960364, 0.6101188918140534, 0.18291301592636422, 0.2621162536843533, 0.35260196879813244, 0.33830051901777614, 0.3216606904825342, 0.3800778095437096, 0.2597608397633093, 0.3000103706890028, 0.3561421699258809, 0.32950013204318596, 0.1796591706895092, 0.20252187145818146, 0.2298992475905688, 0.21997001360821766, 0.33599340591653215, 0.40199944364520346, 0.4498213181359023, 0.40670344798449953, 0.42284565425756715, 0.42493619156126394, 0.42407349362884206, 0.41546747779072013, 0.3848320589332236, 0.45028378826129134, 0.39550877634359116, 0.4215207653122578, 0.4189958181484045, 0.47631528986712635, 0.4418997073693709, 0.3933780972270995, 0.4953717948676979, 0.41817570106021196, 0.4256284053417383, 0.47439723972974457, 0.49075395757334206, 0.44055005231193434, 0.4892064544426695, 0.44713698690699, 0.49796256757557855, 0.4534815205107643, 0.45952092484347784, 0.46079636609144814, 0.44839264880586227, 0.4906605723827093, 0.4078817872785554, 0.4273794803241273, 0.42612976372960454, 0.43233851958263647, 0.45368402988770795, 0.46560628639106116, 0.4672910827013117, 0.4298229904310875, 0.43373981183155563], [0.5689944562736586, 0.5668264083340833, 0.5163092826592824, 0.5441879259729762, 0.6157402076636898, 0.560873530714312, 0.5805915013980424, 0.5833626126427027, 0.5277350608609023, 0.5563406833234015, 0.5875998340153321, 0.5672418579075621, 0.5272649707643791, 0.5822728285981036, 0.5803359607400012, 0.5591927708918545, 0.567110010627706, 0.5966142840285875, 0.5825922738876572, 0.5620684798062341, 0.5576382176487986, 0.5417545470944485, 0.5317414977353458, 0.5974905352131007, 0.5723097485870319, 0.5697774232664585, 0.5466498831883848, 0.5737699910274814, 0.6161852787088323, 0.5477102629788595, 0.5591744277339825, 0.5257008310480826, 0.5996070261608621, 0.577977975164097, 0.5446598700042213, 0.5271757053518036, 0.5724245468534459, 0.5826074191557808, 0.529354682867464, 0.559604690423027, 0.5849451778180448, 0.5601110650348802, 0.6116820016097633, 0.6111548228955141, 0.5005837223989786, 0.47427473847734036, 0.6121930191689073, 0.5053133329846549, 0.12115843239157253, -2.220446049250313e-16, 0.5034112965771815, 0.2593175826473061, 0.5030662049601535, 0.6767617825877854, 0.6241087022983844, 0.6892044980761831, 0.6985356672529688, 0.17513777499248362, 0.3309178240626022, 0.4625912856051396, 0.36070496183831746, 0.4406089942266097, 0.44473061715303264, 0.31788459443922457, 0.38020465287521266, 0.48730283616130277, 0.49450235128540476, 0.2094639964106484, 0.19822211254570066, 0.24427605758909454, 0.3535941945573168, 0.47269804381829816, 0.5424413780507511, 0.5829809336190075, 0.5295392623307732, 0.5521123370132467, 0.5606581159283832, 0.5557298627952281, 0.562131320900709, 0.5327203552650375, 0.5945865972549035, 0.5369485631219889, 0.566783466861559, 0.552784930575461, 0.6004461904596348, 0.5762448460396509, 0.5364434407518326, 0.6223623715039951, 0.5384581510732107, 0.5778900228067004, 0.5879298429968381, 0.6147970232567066, 0.5736628554469506, 0.6340348235983049, 0.5698616756624899, 0.6071732306252882, 0.5886756365027361, 0.5792931186387149, 0.608900025137781, 0.5745034469009545, 0.6092609587385683, 0.525842351449907, 0.5601611635165491, 0.5742323225876812, 0.5483353577847622, 0.5702447678671538, 0.6012519401594209, 0.5907821375345927, 0.5380552278948472, 0.5718521290914267], [0.6178153803708006, 0.6337957276208654, 0.6004536433103573, 0.6106132074199039, 0.6505761096509053, 0.6399911467169273, 0.6548774870887171, 0.6293401919412602, 0.6013699719328265, 0.6067989581862042, 0.6124608635312954, 0.5986934384388733, 0.584921215958878, 0.6234463958575214, 0.6245479005390784, 0.5961486371392101, 0.600826806805026, 0.5783250242669757, 0.6207159655705969, 0.5841979399076181, 0.5985868558413323, 0.5762391508445899, 0.5790262523389078, 0.5991385538754586, 0.5805954180391969, 0.59499454314073, 0.5770132542526454, 0.5932849343315629, 0.610403886355508, 0.5901996123772206, 0.5847837156976059, 0.6028519435661835, 0.6241373216953146, 0.6242803153116818, 0.5911255074881585, 0.5974570517785549, 0.6124367296389019, 0.6282978009523887, 0.597981960895115, 0.6110476186621944, 0.6386185411117492, 0.6353224578797514, 0.20431385604309837, 0.21591750722292302, 0.33209876375578296, 0.24709062104785406, 0.19105562596643455, 0.22883465081438847, 0.44049499524529667, 0.5034112965771815, -2.220446049250313e-16, 0.11010860844900505, 0.508229150898798, 0.672913693911028, 0.6535159273522531, 0.6828435210339479, 0.6849851662442404, 0.43575111060287397, 0.21251464705544565, 0.34894303279292893, 0.34253426360464756, 0.29226525976433426, 0.34731256355106266, 0.28218202209860477, 0.23264426260452398, 0.18328412324019572, 0.16558329735301835, 0.16766935549008732, 0.20140316787858104, 0.27855201561905685, 0.22496752078403792, 0.22173489500134336, 0.30105958787242393, 0.5778317827211066, 0.5766527395554799, 0.5637565594671299, 0.6141262559671206, 0.5732714224993811, 0.5560703846101356, 0.5574162957517723, 0.6034679251243071, 0.5561492105846142, 0.5632498043305174, 0.5865277079094195, 0.6245583621773513, 0.6027352441722782, 0.5556363349936932, 0.5889093748831168, 0.5253721137325404, 0.60467138493427, 0.5451496095904964, 0.582685665643563, 0.5727200670834207, 0.5990995954836921, 0.5887336164303759, 0.5702672099851562, 0.5837284001357077, 0.5899028016403237, 0.5891854270570133, 0.5705028312281162, 0.6358484666353532, 0.5169462694604516, 0.5543117265767135, 0.5864140648596119, 0.557445670709452, 0.5399065026425016, 0.5806322852101768, 0.6047212636072898, 0.5732730087697113, 0.585495384273301], [0.5157095853965475, 0.5257887105249412, 0.4910108998205164, 0.5005554734178628, 0.5630129773189598, 0.526141286685186, 0.5538332099035348, 0.5260343446140703, 0.49364853670122866, 0.5090793452309071, 0.526264709643266, 0.5070339493537481, 0.47668895404855327, 0.5208857212650904, 0.523708626890779, 0.49891966517535635, 0.5104054182840029, 0.5075744207697728, 0.529659495145781, 0.48820259841037883, 0.501507258806942, 0.4847386779355123, 0.47798036871182725, 0.5195508535759381, 0.5037069899412425, 0.5026915892922286, 0.4840666322572137, 0.5074946534178233, 0.5361405028515798, 0.49995016571554374, 0.4931311572037197, 0.4904320383026669, 0.5350269780441959, 0.5292160080926487, 0.4956071887597785, 0.4942344101305105, 0.512505318844981, 0.5283311940333094, 0.4912301391410162, 0.5023191904299245, 0.5376494599441367, 0.5165570296279782, 0.34745895103597746, 0.3317559883482448, 0.3422690035349639, 0.2781269235635474, 0.3100808129041025, 0.3019087562454916, 0.28110932426991997, 0.2593175826473061, 0.11010860844900505, -2.220446049250313e-16, 0.4678165908414851, 0.6602325419919544, 0.6185503513676739, 0.6602224679121977, 0.6745191624453741, 0.2649585721270393, 0.14234975662838212, 0.3255599660989349, 0.2450094186936409, 0.24523016921151608, 0.30044654623702205, 0.1731515691355967, 0.17641552538636907, 0.20189560088202518, 0.2308080482103636, 0.0813241240373016, 0.10186506097807557, 0.15653159500857827, 0.17621918316044793, 0.21853104111522081, 0.30714118312628513, 0.5069713344131623, 0.48166579477794413, 0.4780403282080822, 0.5232676627682501, 0.49596917318142475, 0.4850850917371866, 0.4736564178343352, 0.5372113758988017, 0.48102703514455214, 0.505046642750846, 0.49843990067714417, 0.5483691468934745, 0.533255494863109, 0.47100669377310445, 0.5255671290342142, 0.4519220229562396, 0.5248577300382604, 0.4810685864185573, 0.5255624047525311, 0.4973894214680845, 0.5352820781410856, 0.5102686799095828, 0.5135165382230629, 0.5152469756562098, 0.5240857262692233, 0.5206720206649738, 0.4976097749784213, 0.5554650768248048, 0.4380396648104742, 0.47834486223263406, 0.5180112663205294, 0.47909031006147706, 0.47415493854560453, 0.5119666778494781, 0.5213779433106369, 0.4772514787594011, 0.49942275591297125], [0.3947244815254384, 0.4022674932520437, 0.40996159564819845, 0.36294410747793804, 0.35750552037338523, 0.4375806851132392, 0.44349073762631774, 0.4152114277848522, 0.3550084956904228, 0.39750086807465423, 0.4019941283607864, 0.3981461727298141, 0.40507304497844876, 0.4614550578732147, 0.3835692747452092, 0.46609734569139316, 0.43554059954531155, 0.46177307110144084, 0.4374810450103539, 0.3789977726705641, 0.3886294569501938, 0.43876332609885216, 0.40149043537521345, 0.43921418502006404, 0.4100342946072061, 0.45679155643037905, 0.439245130985465, 0.4497073550557448, 0.4856875459824448, 0.4902141855984181, 0.41664209653642725, 0.42333019984303855, 0.4419921302414994, 0.47017873413884503, 0.43670878190834317, 0.4054080569784979, 0.4567034116374419, 0.44522036334830517, 0.44317578120539036, 0.3984207107207769, 0.3836044499367105, 0.41948916477485065, 0.49696081268713166, 0.49950310128156405, 0.4886857948903256, 0.43260531649291445, 0.46839630969474677, 0.39960680861157205, 0.3643686859375197, 0.5030662049601535, 0.508229150898798, 0.4678165908414851, -2.220446049250313e-16, 0.2109495349532936, 0.2450997248650566, 0.23389789646550863, 0.17405505826415835, 0.2408384032907478, 0.3978667792699835, 0.5059131367796662, 0.4577051012307939, 0.5054088024915067, 0.4935602462690275, 0.5036202894577384, 0.5133905210010532, 0.44387950109853147, 0.43392211066580366, 0.4328650836122194, 0.41246008636096954, 0.2319283736985196, 0.41221541471652023, 0.45837110413941196, 0.5072192894415408, 0.4096873928503578, 0.39373201191622276, 0.4080237922986656, 0.3958086521385231, 0.4423211587772379, 0.41799266210749064, 0.4082021617344437, 0.4854425781259356, 0.40902591310629066, 0.4233248946895455, 0.42046099369612455, 0.4282316464988527, 0.36471220089454204, 0.4242532418901328, 0.4175617492382143, 0.45241780286470556, 0.39542696058520044, 0.4768552036676269, 0.47283051192173364, 0.44396809896870204, 0.4157348729822681, 0.46117069445098036, 0.44341439649404735, 0.40791933828005156, 0.4494853960878967, 0.4267868312749552, 0.4413185062950141, 0.4641476938274649, 0.43489165195324153, 0.41774823941508255, 0.42458910076440415, 0.45255348143558394, 0.4648613324907396, 0.412361735635432, 0.4469203682344993, 0.44978555716966173, 0.41421043013585634], [0.5275309861155657, 0.5296926546914038, 0.5588487083457316, 0.5009542440841324, 0.5021077303690111, 0.5818687789109926, 0.5682904892525227, 0.5689428709817277, 0.5151277616165981, 0.5480302086962279, 0.5481523459739782, 0.5353466059760014, 0.5700662290809988, 0.6057683415660234, 0.5361818091403809, 0.6148755178403131, 0.5734035772356634, 0.5729020727557993, 0.5687054854391559, 0.5299921708043522, 0.5230098252431591, 0.5682900048917717, 0.5406061115183016, 0.5665443575635543, 0.511755554349862, 0.590232962519808, 0.5552616385078917, 0.560566272190061, 0.5793067450466234, 0.6157820954303683, 0.5603552213014305, 0.5729758860728879, 0.567274443743564, 0.5998254264250392, 0.5678493098542214, 0.5459383809446828, 0.5859456652428557, 0.5648654918283849, 0.5885994642638572, 0.543751729176134, 0.5108600403654895, 0.5704271045299643, 0.7150778050551291, 0.7170236844250115, 0.7144095566500366, 0.6609767406198906, 0.6780926650051531, 0.6149646235863184, 0.6001348837084379, 0.6767617825877854, 0.672913693911028, 0.6602325419919544, 0.2109495349532936, 0.0, 0.06622165874436181, 0.05105265632132572, 0.05165813533445851, 0.32479282649764896, 0.5851121839859967, 0.6640272337080615, 0.6012066033604037, 0.7024197607775511, 0.6500129728908102, 0.6866531990297191, 0.7107278875253166, 0.6293374961274408, 0.645684985322772, 0.6721006332254831, 0.649314732247994, 0.4465721079245438, 0.6652306936959119, 0.7032940636178344, 0.7344052435235486, 0.5358525798154714, 0.5205802903461338, 0.5469285544997726, 0.5168375016509517, 0.5733616331425848, 0.5625552958849507, 0.575511901233984, 0.6145392950773818, 0.5500152363054012, 0.5380478006416387, 0.5487295961487302, 0.5188598715465766, 0.4735843677262943, 0.5613417335971279, 0.5350772726482429, 0.584072765452454, 0.5384774062900431, 0.5865171823796238, 0.5818161104699904, 0.5785931349165236, 0.5226552355714129, 0.579684503390351, 0.5495121152353801, 0.5310612213766996, 0.5771697518694101, 0.5687908255652832, 0.5741992684639875, 0.5844805155876196, 0.5722859176100652, 0.5325407810134821, 0.5552296095156426, 0.582010594804562, 0.5729406134938502, 0.5327909288367365, 0.5525114696639835, 0.5756917990866401, 0.5422598270593967], [0.525628972877522, 0.5221120977434295, 0.5518128111898954, 0.4963351831401188, 0.5057392286401053, 0.5831667514227832, 0.5723619310656876, 0.56286212234645, 0.5117277852866582, 0.5465341298311825, 0.5465707154710464, 0.5360082970342007, 0.5655650365682205, 0.6062456179205196, 0.538444215028544, 0.6098327120994773, 0.5646406560624645, 0.5661135081059361, 0.571399378915018, 0.527387555253291, 0.5191285267773202, 0.5671486558380194, 0.533830375593097, 0.5679025707012602, 0.5052894368016507, 0.5845344695750371, 0.5499694694846675, 0.5559399730500908, 0.5824105267300405, 0.6149518753363798, 0.5528058500988245, 0.5686738658876924, 0.5661221939341357, 0.5994408664581111, 0.5704184074039924, 0.5416138685591303, 0.5908929692350549, 0.5612230081744847, 0.58864010873285, 0.5425682014379881, 0.5132179580693697, 0.5735032794685153, 0.7539479194698439, 0.7540691397935274, 0.7341067049655304, 0.6673578425277684, 0.7008468384565691, 0.628880752726571, 0.6011479684110387, 0.6241087022983844, 0.6535159273522531, 0.6185503513676739, 0.2450997248650566, 0.06622165874436181, 0.0, 0.031595559293841946, 0.09854907317051675, 0.31888252279068896, 0.5895222861284203, 0.680956325294829, 0.5770388122097982, 0.7210390113658919, 0.6461265833340131, 0.6793596214812074, 0.7146930639835698, 0.6413975692580174, 0.6601270040091487, 0.6432376170158115, 0.6048828714405184, 0.3834199993883115, 0.66485375133437, 0.6945428734494893, 0.7306150061522763, 0.5313886340804278, 0.5158819840988431, 0.5427423717750086, 0.5098081620190662, 0.5715421716280474, 0.5578638739608768, 0.5700983306875285, 0.6159138314587026, 0.5447882510023705, 0.5276534327223742, 0.5466070293234861, 0.5153061978982079, 0.4720978704865775, 0.5571238178648534, 0.5424698374051157, 0.5697614353144655, 0.5351879020456266, 0.5732139161730261, 0.5823131954035452, 0.5781494226527624, 0.5245083784786146, 0.5775445438674183, 0.543153279235206, 0.5374113952244544, 0.5827290742769169, 0.5687720559452364, 0.5648342368956341, 0.5765016508576222, 0.5616434468004676, 0.5201374496221498, 0.5517316909820871, 0.5719708160975172, 0.5640367059349247, 0.5266963818797585, 0.5439995496837295, 0.5699081705848164, 0.5375094091216486], [0.5513800001508399, 0.5548181501975373, 0.5907838955898732, 0.5182246335518754, 0.5144500031136878, 0.610363480904978, 0.60290926024096, 0.5856660172351367, 0.5360688853827031, 0.5689852873291754, 0.5768273939295259, 0.565885700976432, 0.5943723364145337, 0.6405264848392174, 0.5557532592716763, 0.6464702479401261, 0.6052949921690318, 0.6065596539714262, 0.6109387217046882, 0.5532755638045964, 0.5495243132793503, 0.6061332389270191, 0.5694651988273749, 0.6007422745495279, 0.5461331288803419, 0.6214738025703285, 0.5916032160540827, 0.5990785853125699, 0.6286880774937096, 0.6586770492614646, 0.5844024660365625, 0.6033995038949787, 0.591709280952124, 0.6325838165219084, 0.6064357164889935, 0.5792548358540046, 0.6241540290262206, 0.589324125553392, 0.6202042107893289, 0.5632388413921672, 0.5327600055132296, 0.5937861337281959, 0.7534188174944392, 0.7570052313572813, 0.7613887996149016, 0.6918803828995569, 0.7090447861695979, 0.6578095995068596, 0.6494627102960364, 0.6892044980761831, 0.6828435210339479, 0.6602224679121977, 0.23389789646550863, 0.05105265632132572, 0.031595559293841946, 0.0, 0.0589961119605783, 0.3360268082449256, 0.6093580132672864, 0.7155401474974129, 0.5975740923886993, 0.7381803622330123, 0.6687559671178196, 0.7093007848161141, 0.7449389923585894, 0.6677513421663738, 0.6848850055099909, 0.6930665367363611, 0.6468151074782701, 0.4262144863220845, 0.6862988275407208, 0.7114585963736155, 0.7425631982116665, 0.5588765610150839, 0.5498287011220755, 0.5731339628732186, 0.5434825833080114, 0.6076749646759156, 0.5906730388074031, 0.6049655520113555, 0.6550880285883414, 0.5843736749988235, 0.5733539109465854, 0.5838536938551326, 0.549018059193787, 0.5014720977071356, 0.5956063287359705, 0.5666819428967564, 0.6090692757447582, 0.5642436042479438, 0.6144343430810608, 0.6134812433953456, 0.6133469323098271, 0.5500435827365174, 0.6147099737382449, 0.5763490883703943, 0.5677095088612487, 0.6157110287621164, 0.5960192100507593, 0.592658341593975, 0.6037137066102569, 0.6017161952849255, 0.5567824028002291, 0.5900823639019737, 0.615205365675253, 0.6066134229107918, 0.5569222225328979, 0.580410765182288, 0.6107710859875758, 0.5726139555082163], [0.5120097367240832, 0.5208533891530258, 0.5506097221098325, 0.4788504784940518, 0.4635099797049518, 0.5656164113471756, 0.5553800788720347, 0.5478355198869276, 0.4855023612025453, 0.5176546833210606, 0.5279013714874037, 0.5157155259991031, 0.5532345080403127, 0.5940881256557597, 0.5039659786636193, 0.6120031278758036, 0.5650566362783234, 0.5714353059870159, 0.5606770121421664, 0.5086965986504643, 0.5102839231633003, 0.5590030683227617, 0.5265206058542968, 0.5498394164484949, 0.5035004733199073, 0.5788511338840356, 0.5514687114437937, 0.5535668999613601, 0.5841783010641474, 0.6126968522622149, 0.5491741806462117, 0.5586017686280493, 0.5487885080704188, 0.590240212270999, 0.5610379964823813, 0.537809830753942, 0.5781678411268085, 0.5538536407929572, 0.5763088496002816, 0.5185586153501144, 0.4876284253629618, 0.5476923289208948, 0.7045965449692893, 0.7149819407630438, 0.670243844939499, 0.6284983532171212, 0.6684715724677571, 0.5906382991781147, 0.6101188918140534, 0.6985356672529688, 0.6849851662442404, 0.6745191624453741, 0.17405505826415835, 0.05165813533445851, 0.09854907317051675, 0.0589961119605783, 0.0, 0.31996094253201246, 0.5629484190784884, 0.633192885043039, 0.5750417396557745, 0.6766550644690117, 0.613126972038699, 0.6678066366861506, 0.6921995549741246, 0.6397844957649712, 0.6481546239754156, 0.6727549407549096, 0.6484795219578181, 0.43221955700269055, 0.636325951889007, 0.6693403538615885, 0.6951655109967878, 0.5202668861213484, 0.5084712076378943, 0.5286351721046609, 0.5031458686397086, 0.5659739920765914, 0.5462097453089977, 0.5476887507696038, 0.6121942846416426, 0.5475508390553765, 0.5428461669715302, 0.5412989665485172, 0.512841759439657, 0.460742455866483, 0.5496214745188575, 0.5138316958362463, 0.5770603958144277, 0.5147974605319255, 0.5802153187363719, 0.5681183009808165, 0.5658118592846207, 0.5055142172799947, 0.5723971440767978, 0.535306430973916, 0.5137243559027711, 0.5626478500070979, 0.5479514169412831, 0.5563587124942998, 0.5664940927036197, 0.5592332030680769, 0.5186377114347656, 0.5419224925815994, 0.5754312764753104, 0.5677845521983578, 0.514815511361334, 0.5459963833220389, 0.567656582398445, 0.53563081815423], [0.45572736202629416, 0.46232681593237257, 0.43837532786213074, 0.4263132796721695, 0.4770188096797313, 0.4813887610685712, 0.4945917829404304, 0.48455486748186305, 0.42125418593812336, 0.45489285449883754, 0.4782406977361543, 0.4619825850614089, 0.444702688159623, 0.5007094224668694, 0.4659434478640344, 0.49154037632785297, 0.4806616915139156, 0.500965965577995, 0.489832756662528, 0.4477753703301517, 0.45018985610552675, 0.4616974619368167, 0.43804322940364093, 0.4942308839404108, 0.46388977722387426, 0.4844249885660624, 0.4652724159682402, 0.48490714025480586, 0.5313431439469434, 0.49412237140490833, 0.46385714107577714, 0.44930927565752743, 0.4962707250807271, 0.5027098242619278, 0.4592887862183306, 0.44260239677690816, 0.48832535372065766, 0.48656481126911333, 0.4593311949807105, 0.4526205523192116, 0.4615204180761233, 0.46412370315769347, 0.5171129798188088, 0.5247662696343107, 0.38712514792381036, 0.3548911575586311, 0.48477903181329585, 0.37518413990691424, 0.18291301592636422, 0.17513777499248362, 0.43575111060287397, 0.2649585721270393, 0.2408384032907478, 0.32479282649764896, 0.31888252279068896, 0.3360268082449256, 0.31996094253201246, 0.0, 0.21541767533655087, 0.3534748872436895, 0.21252656943372428, 0.3637247400924447, 0.2967677352383513, 0.25674088812312257, 0.32410157085170754, 0.37450367336766477, 0.39314067437751676, 0.2354142346641287, 0.21335349232817036, 0.1661306210896859, 0.26921538046445037, 0.3668335281034476, 0.4204420635523366, 0.4696797766337897, 0.4309474913330863, 0.4544703866287021, 0.45241246366530263, 0.4668953118771392, 0.4608415626703468, 0.4332394929772305, 0.5151072055049594, 0.4448405353065181, 0.4663121919884913, 0.4517356819404865, 0.4882398551047875, 0.44630203289763826, 0.44174557192704567, 0.4963470154296973, 0.44876008236274134, 0.46743902457604947, 0.4973309460490133, 0.5110487613953236, 0.4804887422111088, 0.5021672065590366, 0.48434167659117544, 0.5007596412454536, 0.4722027924040173, 0.48890470340395986, 0.49677440765894465, 0.4820956274354392, 0.518846091785399, 0.4436674456002384, 0.45219628157208513, 0.4764210011539578, 0.4643832040582909, 0.4812612551448473, 0.4838971237834726, 0.49266527883974087, 0.4626122293359298, 0.4687737797505417], [0.47511965894477304, 0.49297838987649556, 0.4712949682595212, 0.4748244238384933, 0.5307851117900424, 0.49917364964407285, 0.5226561130923297, 0.5076419971398661, 0.46815220706774086, 0.4856056051410136, 0.4834924357686039, 0.470980762424251, 0.44727261713662303, 0.4917930762526781, 0.4900019247928302, 0.4729735356320809, 0.4802752991741771, 0.47556205047851496, 0.4909940178584987, 0.45807565137562045, 0.4758315167746986, 0.46288642194815277, 0.44899399768221315, 0.4802857738734313, 0.4735612137943386, 0.4777538167091845, 0.4585170747375591, 0.47207639724287775, 0.5105656072313202, 0.487389183180323, 0.46012423316573026, 0.4541176110955979, 0.5006676897506892, 0.5008424052772265, 0.45599904765855714, 0.46238419990211144, 0.46692839923860974, 0.4946890492977536, 0.455532852719164, 0.47181349778774606, 0.500449675850938, 0.47581907927295086, 0.27563353934719914, 0.28317013551983716, 0.13678903619050176, 0.14388315916675565, 0.24975331415538493, 0.16860205589714972, 0.2621162536843533, 0.3309178240626022, 0.21251464705544565, 0.14234975662838212, 0.3978667792699835, 0.5851121839859967, 0.5895222861284203, 0.6093580132672864, 0.5629484190784884, 0.21541767533655087, 2.220446049250313e-16, 0.11914025668939365, 0.11001815419174255, 0.11037491684621603, 0.0966123155291021, 0.06740226921865544, 0.06874607305481295, 0.1461115408413498, 0.181691427731685, 0.12360694057763033, 0.1514167346718791, 0.23638863334409643, 0.08178450201413656, 0.11576987424900431, 0.162280080244819, 0.47664321608098525, 0.4567928782778239, 0.4519500828387789, 0.48157349385804515, 0.45599572198639404, 0.4448217455972481, 0.40894772244341004, 0.492265766759744, 0.4480902119202099, 0.46272171441751964, 0.4560663182759459, 0.5141463046559708, 0.49682516125641674, 0.42884162137214266, 0.495296161491931, 0.42476392560788045, 0.47513041466939465, 0.45739629714400787, 0.4817869247823847, 0.4557658254949458, 0.492922382602792, 0.47944028163086605, 0.49482866429238104, 0.47947603474108025, 0.49066556104965986, 0.48389136931560994, 0.4718829431875676, 0.5260483587540676, 0.42853804367663884, 0.4417019618283643, 0.4793696907535465, 0.45504684797803896, 0.4561827333972075, 0.4935443402578269, 0.5013316718927654, 0.45726752864204046, 0.4677489545369239], [0.5562840772664713, 0.5641493748510118, 0.53455726064969, 0.5524622479144634, 0.6124465689582346, 0.5672397175857433, 0.58414296790434, 0.5945769810900942, 0.5438682835306461, 0.554666996761033, 0.538583532252281, 0.5250650991486883, 0.52971567764923, 0.5478507479422714, 0.5609285901132194, 0.5517137028657382, 0.524321338354768, 0.5302810796155377, 0.5277560429662429, 0.5283568812819232, 0.5499312700353898, 0.5079236207608024, 0.5051566512899173, 0.5194898501717198, 0.5054389912388748, 0.532778663559748, 0.5060784401644076, 0.5089349994024355, 0.5417445235800598, 0.5403348652677303, 0.5386349479733621, 0.5244042798765733, 0.5791831720583815, 0.567692762716403, 0.5160007990495629, 0.5288790267055223, 0.5255254399210569, 0.578759191814396, 0.5367827805210972, 0.5576837063280324, 0.5763280584111008, 0.5636512380091911, 0.35664385224431594, 0.3938766498143651, 0.10028441983152536, 0.20000582719158777, 0.3609444277142805, 0.19157388894015848, 0.35260196879813244, 0.4625912856051396, 0.34894303279292893, 0.3255599660989349, 0.5059131367796662, 0.6640272337080615, 0.680956325294829, 0.7155401474974129, 0.633192885043039, 0.3534748872436895, 0.11914025668939365, -2.220446049250313e-16, 0.16987369491306958, 0.1378078157270224, 0.08149607794385916, 0.14590801005554555, 0.12186600750422083, 0.25164168485801086, 0.26155674491289904, 0.233911243841889, 0.31621588526667865, 0.3921456008712857, 0.1938098261182355, 0.23719070864083058, 0.2742276031348516, 0.5443659129293834, 0.5174050914425005, 0.5187990310841863, 0.5462280685537273, 0.515002017688289, 0.5030174876894955, 0.45350317291744446, 0.5400469554939564, 0.5100716626051235, 0.507915512709252, 0.5147667643065789, 0.5714469331946045, 0.5536563406395317, 0.476255051260672, 0.5432810079225114, 0.4908677094076407, 0.5215667871693649, 0.508029213258864, 0.5296502353608188, 0.509711303800233, 0.5431505809150492, 0.5279328490718248, 0.5339029068984853, 0.5210147528110614, 0.5304001697183467, 0.5448560434646206, 0.5394407053874589, 0.5892581210321646, 0.47402805899473366, 0.48662610871509715, 0.5226730769703458, 0.4976523729974808, 0.4981924622748999, 0.5446917224780765, 0.5616400817335158, 0.5059698304891498, 0.52476631734524], [0.5527193641101595, 0.5638170379536082, 0.5412746758878009, 0.5366995326558498, 0.6042084759035122, 0.5755557232607649, 0.5980528220762631, 0.5896368007014787, 0.5398384192606591, 0.5645151771737603, 0.5675248346399814, 0.5486750109529811, 0.5298270454815961, 0.5775334954746607, 0.5704869534275321, 0.5632093685443531, 0.5525644730170852, 0.5555159230325972, 0.5661966086716359, 0.5375208389050082, 0.548116790122674, 0.5366835077594446, 0.5165477668990758, 0.5551250557779628, 0.5405687489736292, 0.5530345425961957, 0.5316294624830985, 0.5424746414048249, 0.5919645438517711, 0.5725524997019671, 0.5386895890697062, 0.539447584215484, 0.580169190849755, 0.5815918736624688, 0.5310809642532295, 0.5391018945062556, 0.5494668645892238, 0.5683912607056143, 0.541365493826719, 0.546706436846246, 0.5677662720202642, 0.5496376437362271, 0.36782253590579905, 0.40088573302092145, 0.19364318138158898, 0.1952573295049681, 0.32820723232559346, 0.23885881474130288, 0.33830051901777614, 0.36070496183831746, 0.34253426360464756, 0.2450094186936409, 0.4577051012307939, 0.6012066033604037, 0.5770388122097982, 0.5975740923886993, 0.5750417396557745, 0.21252656943372428, 0.11001815419174255, 0.16987369491306958, 0.0, 0.13688818774275857, 0.07073721163256419, 0.10825463648748179, 0.1374868254000644, 0.23409185806530353, 0.2595951635150685, 0.20697754997183393, 0.2156692052955591, 0.29071065411241814, 0.14224451855998332, 0.16473184021267784, 0.19780720092413062, 0.5543625307668372, 0.5338662264921943, 0.5368367494275986, 0.556812630292067, 0.5386272352189042, 0.532302418035226, 0.48586673805766645, 0.5842751229471073, 0.5336637393219172, 0.5384233657907074, 0.5368004143578187, 0.5880796869080028, 0.5667145142981954, 0.5110947125112253, 0.5803412261522801, 0.5004307146506569, 0.5547726469426464, 0.5404016501562958, 0.5607984419514751, 0.5348109207909376, 0.5728647239653437, 0.5521176847682072, 0.5708819652921684, 0.5585619832059943, 0.5695290884367414, 0.5659594250647664, 0.5535219557464746, 0.603581650933571, 0.5128886611645105, 0.506853679684746, 0.5607014169792273, 0.530608514893237, 0.5370854549433344, 0.57716119006774, 0.5795983212511713, 0.5338839225707259, 0.5483910330279869], [0.48249370429983285, 0.5003716130609446, 0.4834871544284943, 0.48830400531669604, 0.5598974404585334, 0.4940624844711754, 0.5342843434795645, 0.5230384840872933, 0.4928423491486177, 0.5071932664369223, 0.487070917978192, 0.4807737221839743, 0.4568242671137085, 0.4901753571837224, 0.5035164757376813, 0.4718632169877317, 0.480761238530666, 0.47950249121653576, 0.4834103862695799, 0.46572005324582044, 0.49147429396572384, 0.4660648406175977, 0.4498545388750167, 0.47108918380863085, 0.47981030216355747, 0.47854174702150953, 0.46606084407080683, 0.4676970850540827, 0.5125829578509318, 0.5008260383963614, 0.466971174168618, 0.45807599130376286, 0.5186987504112148, 0.5053484085359888, 0.4685127719349561, 0.4717386359400436, 0.457928320160065, 0.5064719956887989, 0.4600619662731159, 0.48256091422092684, 0.5133827063103659, 0.4761730133628109, 0.2515840410114084, 0.26201813199486645, 0.1574302935076637, 0.16298629041247303, 0.2550648538107163, 0.18546406876763222, 0.3216606904825342, 0.4406089942266097, 0.29226525976433426, 0.24523016921151608, 0.5054088024915067, 0.7024197607775511, 0.7210390113658919, 0.7381803622330123, 0.6766550644690117, 0.3637247400924447, 0.11037491684621603, 0.1378078157270224, 0.13688818774275857, 0.0, 0.15432986943216787, 0.1210196134663396, 0.07488491227308192, 0.15475387382597738, 0.18194054852314645, 0.18710742822836746, 0.23957617920406016, 0.36091791339219437, 0.1264190993528823, 0.1532074498066791, 0.21134302236820024, 0.5221887915500523, 0.4894181115946771, 0.48363904833753024, 0.5205410264165264, 0.48507585483755467, 0.476427425455878, 0.43279830843609135, 0.50381534551893, 0.4801641000548129, 0.4887697544208165, 0.48502763706621455, 0.556330512561813, 0.5432541083113699, 0.44621726959400876, 0.5311277264716537, 0.4676166662834599, 0.4975741598850856, 0.48960838665985307, 0.5194501372815616, 0.473595216821009, 0.5175522930641943, 0.5047967040831107, 0.5236326695111331, 0.5080612250684684, 0.519213495542848, 0.512257868485985, 0.49723216228582323, 0.5604591483292202, 0.454667204346932, 0.460087121512717, 0.5081585429712839, 0.4890603381318216, 0.4766349548946073, 0.534991624036735, 0.5362277517926521, 0.4820131996540514, 0.49384557845499977], [0.5680667815287725, 0.5817932842590857, 0.5554954329557483, 0.569145996482183, 0.6203046851457008, 0.5939562935695586, 0.6017305060518685, 0.6071918880439033, 0.5569388634403867, 0.5733116032174951, 0.565817765152409, 0.5494639647745199, 0.5416194565140573, 0.581474162795496, 0.5749274400717654, 0.5717296690347805, 0.5446510365673792, 0.5432818716971426, 0.562228463850174, 0.5468235998624984, 0.5608824441919482, 0.5348515645776306, 0.5249469371720512, 0.5498966314944993, 0.5328345930878198, 0.5553343918674043, 0.5304370175099868, 0.5384974186094689, 0.5741164298828678, 0.5616449483468469, 0.5491432613693299, 0.5476967614121582, 0.5800738792452931, 0.587106494276505, 0.5312326083672034, 0.5480968990851408, 0.5503428718622506, 0.5820631062590997, 0.5490475818130081, 0.5664361405182317, 0.5873695518925126, 0.5766866252099629, 0.3573516098231404, 0.3922604373405394, 0.1272997060604545, 0.1782871687020432, 0.3272186508413998, 0.21268403692577176, 0.3800778095437096, 0.44473061715303264, 0.34731256355106266, 0.30044654623702205, 0.4935602462690275, 0.6500129728908102, 0.6461265833340131, 0.6687559671178196, 0.613126972038699, 0.2967677352383513, 0.0966123155291021, 0.08149607794385916, 0.07073721163256419, 0.15432986943216787, 1.1102230246251565e-16, 0.10720691117346548, 0.11083562607611486, 0.24129381082852985, 0.2640066864165278, 0.23509662143528698, 0.267893724020425, 0.3553377640152211, 0.1584427281932893, 0.17439530723389607, 0.19224309414546814, 0.5376360208821309, 0.5259173767501323, 0.5233372899542474, 0.5451996706019728, 0.518423481826524, 0.5098013465287128, 0.4635943650953134, 0.5512605603796317, 0.5158914448441774, 0.5191999269711196, 0.5202527381879662, 0.5691037065252719, 0.5538489532184114, 0.49228713667595236, 0.5530306824380216, 0.4799584664434463, 0.5332665947360637, 0.5105460152412191, 0.5245762550388893, 0.5166202694886243, 0.549126096948228, 0.5325002727827409, 0.5439607931331133, 0.5342672293427502, 0.5409089410313419, 0.5484256028512793, 0.5400760959381053, 0.5804464970077922, 0.4943170115759248, 0.4996057053934263, 0.5381783750505017, 0.5100512344656098, 0.5167539299034456, 0.5576311175992568, 0.5630337927678977, 0.5222503566014978, 0.5370413073313748], [0.5565878817379266, 0.5756286098811566, 0.543961050994812, 0.552632097819453, 0.619325859101481, 0.5721983158735923, 0.5955790484664412, 0.5911707927692568, 0.5354920914174124, 0.5582333135969798, 0.5695794424165648, 0.545835766115198, 0.5233541549094143, 0.5658256264757304, 0.5693883599714753, 0.5529641482879836, 0.551138435366456, 0.5493369200244881, 0.5595258318714103, 0.5345844778278601, 0.5517960079743442, 0.5239487939736086, 0.5164367686519673, 0.5515106637240785, 0.5375773272524751, 0.5484691551576535, 0.5176421272422671, 0.5382053185752933, 0.5709282074623365, 0.5389465855183753, 0.5433411570667814, 0.5257331948221655, 0.5838809882616718, 0.5775869278220638, 0.5244435477570262, 0.5376079600152801, 0.5401425748030254, 0.5774690175340408, 0.5279450280219569, 0.5508858482940391, 0.5855591359425276, 0.5576767930405879, 0.34462607925810407, 0.34658274980369297, 0.13909390798501975, 0.17168970054203225, 0.30460975213316344, 0.19463153320504312, 0.2597608397633093, 0.31788459443922457, 0.28218202209860477, 0.1731515691355967, 0.5036202894577384, 0.6866531990297191, 0.6793596214812074, 0.7093007848161141, 0.6678066366861506, 0.25674088812312257, 0.06740226921865544, 0.14590801005554555, 0.10825463648748179, 0.1210196134663396, 0.10720691117346548, -2.220446049250313e-16, 0.03839578922943421, 0.21013737115994868, 0.23943174287686986, 0.12909557776166325, 0.18640079038376023, 0.2764533550554721, 0.1073323849953528, 0.16448228924702757, 0.21049569734107298, 0.5489068458956194, 0.5255220803317632, 0.5212429931676166, 0.5568915365772986, 0.5267768421283903, 0.5128939675725964, 0.47444433436725575, 0.5606560178391962, 0.5189230612905319, 0.5358221720246812, 0.520714396175245, 0.5811652728737429, 0.5702593178030656, 0.49468827143775496, 0.5683467349941282, 0.49159177336493054, 0.5439705773973078, 0.5288401868000141, 0.542468246232899, 0.5297085910469476, 0.5718371746986364, 0.5451705073449631, 0.5638675853111892, 0.546007107755053, 0.5500063643528446, 0.5661621626478329, 0.5457835678489391, 0.5963813664295767, 0.4908938024610706, 0.5111812639553358, 0.5486504180535647, 0.5185643339294758, 0.5237120061463383, 0.5691699372425063, 0.5712205866281943, 0.5200709307549904, 0.5433620409362343], [0.5252633227910882, 0.5457791507448764, 0.5146320974596681, 0.5296825062653857, 0.5930093798388949, 0.542055835225157, 0.5632338058613375, 0.5603338359588161, 0.5136164116532903, 0.5307492573412507, 0.5274875134638612, 0.5108258785700296, 0.4901639385691151, 0.529332253262507, 0.5367649599206331, 0.5133168145937611, 0.5116426000764382, 0.5086335971524738, 0.520056616730664, 0.5013292336705133, 0.5225314117557764, 0.4874650739718178, 0.4837003326115652, 0.5074630562305356, 0.4990550169235274, 0.512103013188109, 0.486318714568055, 0.4988362783358473, 0.5307641337200093, 0.5044991572828725, 0.5076964405247875, 0.4934399652496566, 0.5491535746271862, 0.5416140509984477, 0.49353250756013056, 0.507243223226738, 0.5039103271350092, 0.5465655371498757, 0.4966531556700087, 0.5235763572092491, 0.5578843379778073, 0.5314763791331374, 0.28160529618351227, 0.2910370206477263, 0.12920205319335054, 0.14407195722144028, 0.25592286168241396, 0.17145570215281325, 0.3000103706890028, 0.38020465287521266, 0.23264426260452398, 0.17641552538636907, 0.5133905210010532, 0.7107278875253166, 0.7146930639835698, 0.7449389923585894, 0.6921995549741246, 0.32410157085170754, 0.06874607305481295, 0.12186600750422083, 0.1374868254000644, 0.07488491227308192, 0.11083562607611486, 0.03839578922943421, 0.0, 0.1588943516441642, 0.19883115018978093, 0.1252369961765074, 0.1892061366569191, 0.29918686145248785, 0.10963197261508051, 0.14535478131606094, 0.1965182776319001, 0.5194554993442191, 0.49617956436874433, 0.4904506196503169, 0.5296667594787681, 0.49314281369350044, 0.477957779961935, 0.44018137482744935, 0.5185906578869297, 0.48568831885725317, 0.4992194537789215, 0.48877659357374537, 0.5553089497581474, 0.5435144629318966, 0.45669395009608027, 0.5327017135668206, 0.4586248982140312, 0.5096398755024361, 0.4863879598755637, 0.5081473230672511, 0.49036447938953, 0.5314629736197283, 0.5092743041324073, 0.5220660514925786, 0.5114183651927133, 0.5141626369850553, 0.5279652232420472, 0.508931381986145, 0.5658700194774551, 0.45342726768750385, 0.4757323728776013, 0.5123326500404307, 0.4872110802096098, 0.48055150340491015, 0.5372424679489538, 0.5397396284732026, 0.48889988324829636, 0.5110010225734993], [0.4244901562102106, 0.44737960461214465, 0.42589246469597164, 0.44365573200996944, 0.5180052086124938, 0.4520273640624116, 0.48332642889522237, 0.4708132584355956, 0.4488194335670349, 0.4694590431188208, 0.44165674695871426, 0.434468043922708, 0.4079157266654314, 0.44627499642677226, 0.46170664345610957, 0.4111879153535989, 0.42967101143739794, 0.4208453159009927, 0.4349024695048579, 0.4156387633290537, 0.44324340344488444, 0.42927177413809825, 0.4168870983246349, 0.429801761653549, 0.4412160462441723, 0.43821073397983945, 0.43798229468232985, 0.42323155183751127, 0.46757673986992687, 0.4606531456781756, 0.4083264896105564, 0.4153776069193974, 0.4555551268691189, 0.45812122493013563, 0.4229876783982196, 0.4219821776483559, 0.4144914456830502, 0.4448823154089324, 0.43973518910817067, 0.4389269878708302, 0.4560210615569259, 0.44204506639883845, 0.17099658337516588, 0.1646838826985615, 0.21143423062884292, 0.13620649468659884, 0.11541461288927679, 0.1421507422259366, 0.3561421699258809, 0.48730283616130277, 0.18328412324019572, 0.20189560088202518, 0.44387950109853147, 0.6293374961274408, 0.6413975692580174, 0.6677513421663738, 0.6397844957649712, 0.37450367336766477, 0.1461115408413498, 0.25164168485801086, 0.23409185806530353, 0.15475387382597738, 0.24129381082852985, 0.21013737115994868, 0.1588943516441642, 2.220446049250313e-16, 0.06456415492192413, 0.17059979583202534, 0.21824702799272855, 0.3148953002475987, 0.1268864931871102, 0.13331837024892812, 0.19435298836288695, 0.46618332389007544, 0.44686256823885273, 0.4440229836688505, 0.46161852461592034, 0.4322397756034696, 0.42963049909869455, 0.40035350079604737, 0.4367358893236134, 0.42295349930925563, 0.4227126227664296, 0.42027799574992797, 0.5057518379368477, 0.48532880973944703, 0.3939923368719226, 0.48414361905960124, 0.416150180191146, 0.4512353701910051, 0.4367956024031089, 0.4591751963363778, 0.42334961728245446, 0.4645798097508965, 0.45877434368612735, 0.483849654458388, 0.4643577811822436, 0.47693184497274543, 0.46193920231302976, 0.4657394399992988, 0.48967224188533265, 0.42342235003916184, 0.4214428511885129, 0.45383396103185314, 0.43439670297040256, 0.42792565480890765, 0.48899277115631234, 0.4707436676865683, 0.45523757855878566, 0.4366017864850107], [0.4437357060884318, 0.4614602206993431, 0.44260437253074336, 0.4540521318279983, 0.5151722169754749, 0.4603530872670395, 0.4914617908650405, 0.4810502313600097, 0.46256436218649377, 0.4721011451784537, 0.45028471506286705, 0.443747413071377, 0.42654168927063085, 0.4552968220781579, 0.4725368324841156, 0.4267178858370998, 0.45409054844502983, 0.44187071856405546, 0.4536239364352175, 0.43311563943964826, 0.4542294170377854, 0.4405158316296951, 0.42935982547122564, 0.4451015520501622, 0.46078202464909657, 0.4480396267521578, 0.44705917924356153, 0.4428110875466985, 0.48987081942204347, 0.47247873381192496, 0.4249202827423635, 0.43116938425895135, 0.47302008122186767, 0.4663726557591157, 0.44219470352804746, 0.4359844881573357, 0.43331626068254503, 0.46597221347296336, 0.44305987070120645, 0.45247232673435345, 0.46682170600166695, 0.4453372983592564, 0.08827756490211536, 0.0953075557200943, 0.180628448497146, 0.13270685284151673, 0.07976165648289835, 0.0925514616476314, 0.32950013204318596, 0.49450235128540476, 0.16558329735301835, 0.2308080482103636, 0.43392211066580366, 0.645684985322772, 0.6601270040091487, 0.6848850055099909, 0.6481546239754156, 0.39314067437751676, 0.181691427731685, 0.26155674491289904, 0.2595951635150685, 0.18194054852314645, 0.2640066864165278, 0.23943174287686986, 0.19883115018978093, 0.06456415492192413, 0.0, 0.15722671904471996, 0.2188055227711272, 0.3344352873228428, 0.13021095114986125, 0.1464613978922874, 0.21278997424161417, 0.4794215939068389, 0.4653155979046757, 0.4604082981702846, 0.47039285679472476, 0.4468875133951137, 0.4467784581522499, 0.4172335338230637, 0.46182349628065245, 0.43815929145860744, 0.4370185425761405, 0.4544666169713467, 0.5193599361092615, 0.49426899422032144, 0.4152578491969162, 0.4985016038665573, 0.43344918299357704, 0.47096718413170946, 0.4553633570510228, 0.4915214279872233, 0.43739087751526273, 0.4859748110887687, 0.4764197626702804, 0.4990725632856038, 0.483490134724589, 0.4933389526083507, 0.4698478265029654, 0.4752992409710698, 0.509460924275844, 0.43829996003661387, 0.43679174034248947, 0.46807157297753554, 0.457966953987178, 0.44525091445235454, 0.4998272353032637, 0.4957078317127227, 0.468584177017348, 0.45155131851516983], [0.4664317371238085, 0.48069877487894497, 0.43829372103463504, 0.4617754427395644, 0.5305618007268107, 0.47699669256764654, 0.4973559006979895, 0.492962025819107, 0.4480476728500068, 0.46367854984166, 0.46976513648664286, 0.45369192012922377, 0.4274352924220328, 0.4737293254488272, 0.4797746760364556, 0.44979826409837653, 0.4579219518685541, 0.4593594280154837, 0.47128719125378415, 0.4468640683100712, 0.4586547452945531, 0.4291962708336089, 0.4260642130203629, 0.4655766639040696, 0.44951423741069774, 0.4544995046513487, 0.43414503046225217, 0.45176560866660576, 0.48671901475619417, 0.44638342000849174, 0.44634651659407976, 0.43527031542908, 0.48974069224733396, 0.4775236939661128, 0.4350834241220769, 0.43354317930877606, 0.4542664313317356, 0.4889741840688736, 0.43223514488294135, 0.4654166511728729, 0.49504180950549626, 0.48152735470236707, 0.25767741879500794, 0.2617132629807879, 0.216820383005784, 0.18482032383051417, 0.2522722814526369, 0.2025462335681163, 0.1796591706895092, 0.2094639964106484, 0.16766935549008732, 0.0813241240373016, 0.4328650836122194, 0.6721006332254831, 0.6432376170158115, 0.6930665367363611, 0.6727549407549096, 0.2354142346641287, 0.12360694057763033, 0.233911243841889, 0.20697754997183393, 0.18710742822836746, 0.23509662143528698, 0.12909557776166325, 0.1252369961765074, 0.17059979583202534, 0.15722671904471996, 2.220446049250313e-16, 0.075881461091026, 0.1651930664972736, 0.12487982992737234, 0.19070459312653476, 0.2702763785766086, 0.46205183700765806, 0.4297213851434145, 0.4308760539296268, 0.46299715602366287, 0.43366125884430384, 0.42614809374047447, 0.40197576110271216, 0.46833427081526, 0.4239610780306253, 0.4397172140344585, 0.4371628206917182, 0.4950382345212657, 0.4774386514226002, 0.40390062322535747, 0.4868225953225793, 0.40001360775423167, 0.45887991034015685, 0.43525110289500757, 0.4705232284550275, 0.4364286010317586, 0.4908556560885088, 0.45349143451013574, 0.4720172803273227, 0.4636058972590156, 0.4619363994669464, 0.4749223446356764, 0.45033387540119896, 0.5031919665845397, 0.39473218379771535, 0.4264202402053665, 0.45592528940786714, 0.43022210277073436, 0.42811230903991315, 0.47867046081544706, 0.47908045734070137, 0.43041362996660537, 0.45329264161252036], [0.46090957717005854, 0.47628870382478206, 0.43337837387092926, 0.4582678424133354, 0.512848465774307, 0.4833518008718585, 0.49339378935300615, 0.48196140388491804, 0.43148005362266495, 0.454451513763104, 0.46845180891719973, 0.45774623724878627, 0.4195585970927954, 0.4869411453853404, 0.4723011963399808, 0.4492406427264569, 0.4500457355159815, 0.4570590030212912, 0.47719168054326977, 0.4430425154358262, 0.4449721131913307, 0.4300894772121362, 0.4234209398282822, 0.4700705677031678, 0.44848740619399285, 0.4543092739038366, 0.43709584421343306, 0.4602808120538995, 0.49370803183463585, 0.4398962845934148, 0.4371789744198281, 0.4374771269984413, 0.4786247010495427, 0.47618804028129236, 0.4383744381552156, 0.4303083402200497, 0.46349620727518415, 0.47286120869633985, 0.4257870546458554, 0.45562911929031724, 0.4859438369995813, 0.47594093575155905, 0.3066033041683699, 0.31381419452452497, 0.2957338057732367, 0.21532389960645193, 0.29365897044148015, 0.2512861992953753, 0.20252187145818146, 0.19822211254570066, 0.20140316787858104, 0.10186506097807557, 0.41246008636096954, 0.649314732247994, 0.6048828714405184, 0.6468151074782701, 0.6484795219578181, 0.21335349232817036, 0.1514167346718791, 0.31621588526667865, 0.2156692052955591, 0.23957617920406016, 0.267893724020425, 0.18640079038376023, 0.1892061366569191, 0.21824702799272855, 0.2188055227711272, 0.075881461091026, 0.0, 0.1121281737957246, 0.14686332008051461, 0.19959396205669344, 0.26211388923651957, 0.43734627834156736, 0.41275904185924195, 0.41713782003828903, 0.4441061166217459, 0.4188047583743124, 0.41554223185445227, 0.3919461128781502, 0.4581446218236409, 0.4021605572697966, 0.42385920119832987, 0.4231226684044961, 0.47639199738543236, 0.4509115467774152, 0.4023453641421031, 0.4747379552151898, 0.3838155303155023, 0.4491058301005121, 0.4310160563479477, 0.4585991535299403, 0.4288348810981639, 0.48021429802652793, 0.44116923736354097, 0.4580213255451372, 0.4472509396167539, 0.44551742578477904, 0.4570154838353474, 0.4356818491784237, 0.4813968868975791, 0.3917187351403427, 0.4207082649439847, 0.44212936284696536, 0.41663673293746106, 0.4264196783170938, 0.4625406074557361, 0.4613922682533004, 0.4253573270564398, 0.4436867693684604], [0.4194549275237923, 0.4296780721709804, 0.404880900306527, 0.3926751009797016, 0.42829015991394215, 0.45415227724722795, 0.4613813062149654, 0.43806856470904054, 0.3732949879957266, 0.4060242060369722, 0.4288468459365289, 0.41914405974204516, 0.4015004914454624, 0.4641158497009429, 0.4209545193709815, 0.44947582325828817, 0.4308063356429299, 0.4484024271227861, 0.44737787958183295, 0.3962513875729945, 0.4037628805125144, 0.411402847104419, 0.3963793208447701, 0.44344547339343465, 0.40081916605827195, 0.43979506625319464, 0.40869575259442703, 0.43376138932244124, 0.4636268598239355, 0.44407303446786184, 0.414818785136402, 0.4144655577906414, 0.4503894143922331, 0.46314552322738345, 0.4134646152169813, 0.39948289712922946, 0.45646086732788393, 0.45188789690786635, 0.42197330894581364, 0.41927160563951826, 0.42769941967873903, 0.4514442136229372, 0.45162106464768403, 0.46895166822746837, 0.41306105708823804, 0.3051880815982294, 0.3974436568067191, 0.34122731375613613, 0.2298992475905688, 0.24427605758909454, 0.27855201561905685, 0.15653159500857827, 0.2319283736985196, 0.4465721079245438, 0.3834199993883115, 0.4262144863220845, 0.43221955700269055, 0.1661306210896859, 0.23638863334409643, 0.3921456008712857, 0.29071065411241814, 0.36091791339219437, 0.3553377640152211, 0.2764533550554721, 0.29918686145248785, 0.3148953002475987, 0.3344352873228428, 0.1651930664972736, 0.1121281737957246, 1.1102230246251565e-16, 0.2444235743574722, 0.3009036556038196, 0.36292749308524475, 0.39894297020411695, 0.37501247215949896, 0.38764566011089263, 0.40499750738911433, 0.4103817660820773, 0.39064771413289945, 0.38389118149430845, 0.46814727032326486, 0.37843236412636994, 0.4013926448248005, 0.4058173893769902, 0.42872098824207683, 0.3845995006296308, 0.3958433003639018, 0.4239444864188726, 0.38489361856508764, 0.4070479485061572, 0.42183470913296506, 0.4399138030511953, 0.42381270582430375, 0.4317770579742083, 0.42906497746254635, 0.4211308937567477, 0.4056073428846142, 0.4264201705150885, 0.4269672662174845, 0.4151462154483324, 0.4641492971810264, 0.3701116588290372, 0.38973634504517385, 0.4094503660499622, 0.40051115188184516, 0.41490840334109313, 0.40236875224280966, 0.4285422591192951, 0.4134073461004881, 0.41147060422852577], [0.442238431310759, 0.4666889556640468, 0.4459236936455828, 0.44757105557918553, 0.5212907983834485, 0.4607608449407907, 0.5092213542572942, 0.48459517000290797, 0.4505486434110232, 0.47412777737671485, 0.4651388481128107, 0.44778235197255956, 0.4131690210770411, 0.470927917505075, 0.4712288846971038, 0.43394263854492765, 0.4480890421038488, 0.4419780404046021, 0.45762882692680296, 0.42419972752885593, 0.4453274530183424, 0.4368706187002366, 0.41455555330018745, 0.45125885468715843, 0.45687736145104907, 0.4487746761922946, 0.42926502020858404, 0.44366252193438105, 0.48860842249485537, 0.4668013252447102, 0.42551344079934916, 0.418810815467883, 0.4782764595822514, 0.4771807494268906, 0.41793493766973255, 0.4262646274333942, 0.4265056518496805, 0.4657728906959768, 0.4248408061367007, 0.4455699311496645, 0.4710470010179041, 0.4463286110160777, 0.19195417416627192, 0.2057483205825793, 0.11352442989057354, 0.07203516351550532, 0.14646234932215663, 0.09875419963232002, 0.21997001360821766, 0.3535941945573168, 0.22496752078403792, 0.17621918316044793, 0.41221541471652023, 0.6652306936959119, 0.66485375133437, 0.6862988275407208, 0.636325951889007, 0.26921538046445037, 0.08178450201413656, 0.1938098261182355, 0.14224451855998332, 0.1264190993528823, 0.1584427281932893, 0.1073323849953528, 0.10963197261508051, 0.1268864931871102, 0.13021095114986125, 0.12487982992737234, 0.14686332008051461, 0.2444235743574722, -2.220446049250313e-16, 0.047161264429531946, 0.08432276099190938, 0.45273718858307843, 0.43766824659526293, 0.4322258400402649, 0.4616000121790699, 0.4286206174907148, 0.41964824272904455, 0.3773666638706068, 0.46486870217232146, 0.4204077624082463, 0.4342535838867537, 0.4340383756338856, 0.5094743188137241, 0.4830983562992478, 0.40469647703439593, 0.49155178540748046, 0.40131002617152567, 0.44822132289691285, 0.4475626499619755, 0.4640657767055453, 0.4295819478164805, 0.4772130240888597, 0.4580023535261093, 0.49340754916684737, 0.46493051448520495, 0.4768929021794608, 0.45212989081177857, 0.45120466283022453, 0.5071800099371143, 0.4176361186450719, 0.4144006996643622, 0.4523680147179364, 0.43424275524465805, 0.44803730847666157, 0.4817987573467034, 0.48463315774911964, 0.442471462575169, 0.43966118628247086], [0.4844590969180861, 0.5036905429629077, 0.4962245207840361, 0.4928565812668326, 0.5548816235560554, 0.5048892116761061, 0.5493571063082792, 0.5226110128856167, 0.4987502601305026, 0.5164936261915993, 0.49519137983260386, 0.4877676576824591, 0.4527299324851586, 0.5094995700233264, 0.5106243455151518, 0.47279274882682254, 0.4809274060384613, 0.4736312290724046, 0.49562839222619637, 0.4637357287544679, 0.486223253550659, 0.4792097543228485, 0.4588653597141735, 0.4838424016257402, 0.4902379019994909, 0.4866503693198613, 0.4667422585185057, 0.47706160669573827, 0.5148221122989532, 0.513532881309678, 0.455183485135747, 0.4634634178970739, 0.5078994361802587, 0.5123740918527907, 0.45531491627548204, 0.46775469587135055, 0.4625419472820501, 0.49929148969926973, 0.46508693856960226, 0.4881835703023083, 0.5091108100404452, 0.4852936136101931, 0.2107954532238704, 0.23761008009632, 0.14591831375111586, 0.0772170988140537, 0.141020549193267, 0.12277688241367268, 0.33599340591653215, 0.47269804381829816, 0.22173489500134336, 0.21853104111522081, 0.45837110413941196, 0.7032940636178344, 0.6945428734494893, 0.7114585963736155, 0.6693403538615885, 0.3668335281034476, 0.11576987424900431, 0.23719070864083058, 0.16473184021267784, 0.1532074498066791, 0.17439530723389607, 0.16448228924702757, 0.14535478131606094, 0.13331837024892812, 0.1464613978922874, 0.19070459312653476, 0.19959396205669344, 0.3009036556038196, 0.047161264429531946, 0.0, 0.03189142687042723, 0.47855125354545114, 0.47863925664804796, 0.4643586923892873, 0.49341392453759203, 0.4602029816033648, 0.448483268266732, 0.4086513289174719, 0.5035633481782334, 0.45622503062793474, 0.45900574378825687, 0.4762922524154034, 0.538127032682711, 0.5163510959684391, 0.44373790238582056, 0.5154718524043166, 0.4283925063628887, 0.47722534487618484, 0.462170488477748, 0.4850434640389133, 0.45168832198934594, 0.49272442269436334, 0.48504363846254284, 0.5144754054623247, 0.4953173602608467, 0.5116105823072856, 0.46882088821328105, 0.4789324257016221, 0.5339764018028422, 0.45060864544442936, 0.43889300872904724, 0.48243619940275984, 0.46611287911186017, 0.4747594285837382, 0.5051981885968766, 0.5106882409535621, 0.47535063760596896, 0.46650103998142134], [0.5428743617391576, 0.5679731369270877, 0.5600425710657333, 0.5657708274898932, 0.6119022807019522, 0.5758300071312151, 0.5964387470657256, 0.585617075899731, 0.5533542448365394, 0.5713621330917, 0.5508937423721207, 0.543357613479342, 0.5128012001766398, 0.5751793458797123, 0.5693021721234196, 0.5345231743206798, 0.5360742587925761, 0.5262646173512587, 0.5499816235986454, 0.5281452484219582, 0.5446702819678514, 0.5320263989819647, 0.5230474750826127, 0.5326461592057444, 0.539111647135428, 0.5432162090244526, 0.5206100025946372, 0.5274709766401808, 0.5561785535050008, 0.5634085206261245, 0.5135624490935233, 0.5297260861302315, 0.5519453941247972, 0.5619282550541077, 0.5063709538367331, 0.5293741380470969, 0.5254941013303844, 0.5503486434179032, 0.5273139976143679, 0.5550761610974646, 0.5655487505182641, 0.5588474316426203, 0.26132689909908513, 0.31198391262791514, 0.17934186062248947, 0.09610145031625617, 0.17463050030011606, 0.17207280799237223, 0.40199944364520346, 0.5424413780507511, 0.30105958787242393, 0.30714118312628513, 0.5072192894415408, 0.7344052435235486, 0.7306150061522763, 0.7425631982116665, 0.6951655109967878, 0.4204420635523366, 0.162280080244819, 0.2742276031348516, 0.19780720092413062, 0.21134302236820024, 0.19224309414546814, 0.21049569734107298, 0.1965182776319001, 0.19435298836288695, 0.21278997424161417, 0.2702763785766086, 0.26211388923651957, 0.36292749308524475, 0.08432276099190938, 0.03189142687042723, 1.1102230246251565e-16, 0.4968653345094094, 0.5138367055964143, 0.5001301438704983, 0.5216814739499542, 0.48211406680118807, 0.4695256420867806, 0.4301183900314197, 0.5283341768810259, 0.4810295549817586, 0.48027504585871184, 0.5060958764337475, 0.556738293905645, 0.5403469339612013, 0.47969029482892633, 0.5425223123759262, 0.44890863607525977, 0.5047198449136521, 0.4892756832044439, 0.495017488178498, 0.4786871101812358, 0.5183737806668959, 0.5076043480908752, 0.5447350539461151, 0.520119463464376, 0.5320553812582638, 0.49274013957549523, 0.5145559246170581, 0.5491807093053762, 0.4902240585803136, 0.47263100850085793, 0.5065899241293386, 0.4920212728871286, 0.5109322841711825, 0.5347717304368693, 0.5375650676115986, 0.5179796573466477, 0.5042177257685514], [0.15963433876129374, 0.18488385754539305, 0.1916369600281984, 0.20852691625454345, 0.20959786831417193, 0.2155727531589604, 0.18342335749900873, 0.19259664902921791, 0.171376066999534, 0.17141387651534012, 0.1580788836321959, 0.16584371931488973, 0.15847187574364352, 0.2048119071272575, 0.17061644464627812, 0.17999078060725682, 0.15887919056937183, 0.15717590989356556, 0.1609985459916028, 0.1535507980287234, 0.14731531274999088, 0.16137029177876483, 0.15593471778163648, 0.15595464428039352, 0.14045215963613789, 0.16335194739395786, 0.15204379572307491, 0.16650100126505696, 0.16043360429798914, 0.17258552053165377, 0.16292182896008, 0.16732422176240225, 0.14854437260499564, 0.17764486864712037, 0.16928015054923817, 0.16480303518555073, 0.17989346484590774, 0.16710599728702324, 0.17133695361542434, 0.1782456672767726, 0.1643365945425873, 0.21373729879935777, 0.5128788835719823, 0.5034235666278777, 0.5161095682950503, 0.4545848925977135, 0.5045878341286374, 0.46716301019699424, 0.4498213181359023, 0.5829809336190075, 0.5778317827211066, 0.5069713344131623, 0.4096873928503578, 0.5358525798154714, 0.5313886340804278, 0.5588765610150839, 0.5202668861213484, 0.4696797766337897, 0.47664321608098525, 0.5443659129293834, 0.5543625307668372, 0.5221887915500523, 0.5376360208821309, 0.5489068458956194, 0.5194554993442191, 0.46618332389007544, 0.4794215939068389, 0.46205183700765806, 0.43734627834156736, 0.39894297020411695, 0.45273718858307843, 0.47855125354545114, 0.4968653345094094, 1.1102230246251565e-16, 0.028219998607381558, 0.03028967420155204, 0.03998637747305955, 0.03681983926941723, 0.03069404288256905, 0.04869857189292981, 0.07850606945819893, 0.04345104980540804, 0.03956207385117749, 0.04038853121615982, 0.035264173026586465, 0.030431435337001878, 0.05095701486934534, 0.034778336337717874, 0.046994906893796706, 0.044931149527745906, 0.05398278257703415, 0.05037938863817926, 0.0513595584988048, 0.03151311176700189, 0.037195427924401336, 0.04447617928866021, 0.030580122988904446, 0.03970090323919606, 0.029912993961725087, 0.029877848110098637, 0.08099343219337185, 0.04064926905896382, 0.03352865941990213, 0.03402546521388039, 0.04566511625251379, 0.04879986956823401, 0.028723119018804644, 0.03100949523715968, 0.055674847785205595, 0.04142136531328233], [0.12166277388269553, 0.1464393291198932, 0.1526334510262808, 0.17099042101857498, 0.1837299609065971, 0.16704859110026316, 0.14191448923889538, 0.16101655070845355, 0.13638851575299915, 0.14462258913215564, 0.11781343633042318, 0.12325676865805768, 0.11446749006593093, 0.16568389842430054, 0.1331566779334511, 0.13887841172701443, 0.10877717073570392, 0.11312062997544581, 0.11361298207766668, 0.11110646844649719, 0.10871586918788678, 0.11114027642439062, 0.10993456388104195, 0.11039159930829001, 0.0993685372927986, 0.12331475828505345, 0.10616242631475248, 0.11586490619180545, 0.11714639025273255, 0.13286334406975941, 0.1159676152763488, 0.12032270029139192, 0.11181986027391344, 0.13866233314439136, 0.11498789718496116, 0.11158822233500887, 0.1225424012216959, 0.12671425941692427, 0.1168188294275786, 0.13136871077031864, 0.12740454559516967, 0.17615080111077264, 0.5108129194244682, 0.49600401996310595, 0.5034526115577799, 0.4529301321066782, 0.5136548478346836, 0.4615706191374107, 0.40670344798449953, 0.5295392623307732, 0.5766527395554799, 0.48166579477794413, 0.39373201191622276, 0.5205802903461338, 0.5158819840988431, 0.5498287011220755, 0.5084712076378943, 0.4309474913330863, 0.4567928782778239, 0.5174050914425005, 0.5338662264921943, 0.4894181115946771, 0.5259173767501323, 0.5255220803317632, 0.49617956436874433, 0.44686256823885273, 0.4653155979046757, 0.4297213851434145, 0.41275904185924195, 0.37501247215949896, 0.43766824659526293, 0.47863925664804796, 0.5138367055964143, 0.028219998607381558, 0.0, 0.01715712182820961, 0.026793034140443095, 0.02035989002621541, 0.027953471137820207, 0.037494608055037015, 0.05564103015857391, 0.029848236169618514, 0.034248768912343186, 0.022253188956351533, 0.026507426391736644, 0.026501712427009383, 0.03133763537619205, 0.030127361605845504, 0.03768438291024079, 0.02844629541188093, 0.03686862604729346, 0.0416801762859641, 0.030537486925865776, 0.020380327790052832, 0.02507692935728878, 0.03354251015507259, 0.023141977262482794, 0.02988342855796411, 0.028200592530795876, 0.02857820215804474, 0.058852944691712095, 0.029208019939372387, 0.0243369561871567, 0.027029164435535602, 0.03019202966095713, 0.043836322635888214, 0.02679767506167019, 0.023766083268062843, 0.0389989608392971, 0.024316932290207482], [0.11687521453142036, 0.1403726843477313, 0.14786223039565538, 0.16661941936603153, 0.1747652037702172, 0.15923427333218187, 0.13769441537481464, 0.1518743424318919, 0.13146661849821972, 0.13860465935242072, 0.11189927048204928, 0.11579664898933861, 0.10428831103651082, 0.15270126839923348, 0.12214576774420072, 0.13001461381672486, 0.10246035748977644, 0.10121651799964848, 0.10990790748543866, 0.10156057287062825, 0.1021893770485004, 0.10877007759309842, 0.10125136599232842, 0.1010140264961743, 0.09194902385979287, 0.11445905624398955, 0.09922363373582521, 0.11022540460112795, 0.11073277527438519, 0.12598054635082934, 0.10616402142290415, 0.11008488042669473, 0.10262578710102499, 0.13147483475531374, 0.11148515598772002, 0.10706835819379168, 0.11560073250763725, 0.12119346295694478, 0.11306383700757594, 0.12493123354720881, 0.12334397846191192, 0.16601810732220323, 0.49698736661267306, 0.4823889068339353, 0.49817119570497503, 0.44686764800138223, 0.5060657816481395, 0.45455781993446165, 0.42284565425756715, 0.5521123370132467, 0.5637565594671299, 0.4780403282080822, 0.4080237922986656, 0.5469285544997726, 0.5427423717750086, 0.5731339628732186, 0.5286351721046609, 0.4544703866287021, 0.4519500828387789, 0.5187990310841863, 0.5368367494275986, 0.48363904833753024, 0.5233372899542474, 0.5212429931676166, 0.4904506196503169, 0.4440229836688505, 0.4604082981702846, 0.4308760539296268, 0.41713782003828903, 0.38764566011089263, 0.4322258400402649, 0.4643586923892873, 0.5001301438704983, 0.03028967420155204, 0.01715712182820961, -2.220446049250313e-16, 0.02471246211388034, 0.023515607684227557, 0.028847330455965103, 0.0387934392952628, 0.054449465071461534, 0.034708368308353554, 0.046498397734324515, 0.02498697568036312, 0.03272034209123964, 0.037587113936450645, 0.02949240759637295, 0.027118394620875175, 0.04295312134067697, 0.029375189380466016, 0.03407337254579046, 0.04441048182873397, 0.027261667280533253, 0.020698319059521242, 0.030068061416846037, 0.034498210791095274, 0.02139075734748308, 0.03489411623309868, 0.02695103490909123, 0.030872873329955697, 0.05713575221551259, 0.0369726416591768, 0.02577814507726106, 0.029219572807580807, 0.03568075538868354, 0.03905182727668444, 0.03264338906935238, 0.025892828547338764, 0.04053197810576892, 0.022122149234316657], [0.09798966475204884, 0.11873019393004336, 0.1320266508170126, 0.15352001423239647, 0.15623232562333622, 0.14609421604374562, 0.11713460029044087, 0.13497620926646703, 0.1205077229887559, 0.12780031308420425, 0.09691347653772664, 0.10643197566299523, 0.0996616779336219, 0.1415956419628528, 0.11124591839224962, 0.11952730947221801, 0.10637237746862727, 0.11060101106956188, 0.10157593330154191, 0.10319592632510832, 0.10369197784845052, 0.11976133058613836, 0.1078201983294923, 0.10278874879180833, 0.10429477063710946, 0.1155289477038629, 0.1148633792623458, 0.11017262044424658, 0.12211926364169878, 0.13630180358052002, 0.10303096599150408, 0.10191297642642261, 0.09146082440274594, 0.11801376895622007, 0.11869563205444722, 0.1055487837521697, 0.11747114266604441, 0.10363384424703903, 0.11372858948599973, 0.11871319993714358, 0.10436308756464863, 0.14851002620401277, 0.528245585490016, 0.5077020250839335, 0.5143707860762692, 0.47176871141739307, 0.5243048687521821, 0.4661664878421645, 0.42493619156126394, 0.5606581159283832, 0.6141262559671206, 0.5232676627682501, 0.3958086521385231, 0.5168375016509517, 0.5098081620190662, 0.5434825833080114, 0.5031458686397086, 0.45241246366530263, 0.48157349385804515, 0.5462280685537273, 0.556812630292067, 0.5205410264165264, 0.5451996706019728, 0.5568915365772986, 0.5296667594787681, 0.46161852461592034, 0.47039285679472476, 0.46299715602366287, 0.4441061166217459, 0.40499750738911433, 0.4616000121790699, 0.49341392453759203, 0.5216814739499542, 0.03998637747305955, 0.026793034140443095, 0.02471246211388034, 0.0, 0.03136188541048901, 0.03529548862042775, 0.03664914696561483, 0.05220636125439637, 0.03993049395817805, 0.045703292964877074, 0.030880160050388294, 0.031314028371638325, 0.03357084124674714, 0.029412098602165204, 0.04464993224318614, 0.0536072999516265, 0.028080989518736943, 0.048811249175031435, 0.06311394941053794, 0.03212486471978093, 0.03057124511238718, 0.038046276211290087, 0.05600964176796508, 0.039503835763947115, 0.0519487823614283, 0.031572583176695646, 0.04736612602841839, 0.047109090314723434, 0.05592895337896331, 0.03842867916819315, 0.032116193023884354, 0.05150970305488667, 0.050682396838255483, 0.04287908261758677, 0.02812005182919064, 0.0524423480129651, 0.025833761532876753], [0.1243080482084371, 0.15139824799379342, 0.15646253040468538, 0.18845302415269294, 0.2018763019328228, 0.16901508570546664, 0.14117926546479853, 0.16934099909341627, 0.15509912945313586, 0.16045570738475157, 0.1210086011203576, 0.1290908848838106, 0.11727513612594953, 0.164850945569898, 0.1416155003102504, 0.12891494598810516, 0.10508599671634644, 0.10305913276975986, 0.11275542755715118, 0.11680776979450314, 0.11598031735261738, 0.10775933567169416, 0.11627228305398851, 0.10305627465564582, 0.101216490730209, 0.12041084910364996, 0.10592072901294491, 0.1126664232990191, 0.10958009095359889, 0.13170965090698228, 0.11035933167629575, 0.12142560780643286, 0.10637797855176301, 0.13295850972816337, 0.10662376717651989, 0.10847417622020816, 0.11225672000925946, 0.12075262371386541, 0.11446123799561136, 0.13916520100386465, 0.13678785598454812, 0.1813186545720814, 0.49269421608684916, 0.4804143543172219, 0.4895360440479495, 0.4378125692522451, 0.4970225312906963, 0.4515976994021884, 0.42407349362884206, 0.5557298627952281, 0.5732714224993811, 0.49596917318142475, 0.4423211587772379, 0.5733616331425848, 0.5715421716280474, 0.6076749646759156, 0.5659739920765914, 0.4668953118771392, 0.45599572198639404, 0.515002017688289, 0.5386272352189042, 0.48507585483755467, 0.518423481826524, 0.5267768421283903, 0.49314281369350044, 0.4322397756034696, 0.4468875133951137, 0.43366125884430384, 0.4188047583743124, 0.4103817660820773, 0.4286206174907148, 0.4602029816033648, 0.48211406680118807, 0.03681983926941723, 0.02035989002621541, 0.023515607684227557, 0.03136188541048901, 0.0, 0.02464490043344547, 0.031171952641195766, 0.03293867166248998, 0.02248151745389315, 0.03169121882515746, 0.0222224832425737, 0.034178601093329375, 0.04132755978675373, 0.025147689827441644, 0.03626959878512037, 0.030170571456817674, 0.03000278269506762, 0.02867749433157607, 0.034114559573461545, 0.01860464223066105, 0.023773594118060015, 0.021303783963699363, 0.03744693504762764, 0.028098106324556227, 0.02931869325855818, 0.03247213604908672, 0.03927823900420313, 0.05165839282855167, 0.041161918783749196, 0.029313673615802838, 0.026223510623690216, 0.02334201259160007, 0.0425186197133951, 0.037046942147911266, 0.028780666771657137, 0.048179081513154975, 0.024735599902754535], [0.1334562894836191, 0.1638847392458085, 0.16610521545073054, 0.19067357310431254, 0.19454648080809256, 0.19044743946658782, 0.1569323410368384, 0.17065617400909439, 0.1536510945296815, 0.15547764058742386, 0.13387405181080847, 0.1395785998415755, 0.12828454763032815, 0.17028539085645988, 0.14285928245631774, 0.15230458954156845, 0.13265737231986796, 0.12765806047770545, 0.13311061007068514, 0.13097613607079894, 0.1359887967668807, 0.1335449852792362, 0.13568013688921832, 0.12667800131476326, 0.12201654454406541, 0.1339873034520933, 0.13324139236122579, 0.13976206968725302, 0.139580598449766, 0.15334460089281765, 0.1293157194246185, 0.1392594655429259, 0.12440618112193569, 0.1507816141427013, 0.1401020153788849, 0.1388535871399088, 0.15169913313715777, 0.14446088623733055, 0.14038944497960604, 0.15837661751969556, 0.1517826059664792, 0.202348912492752, 0.48438498241109385, 0.48016630766650903, 0.47686940810881084, 0.4150469767570426, 0.48507956696383847, 0.43377568139751765, 0.41546747779072013, 0.562131320900709, 0.5560703846101356, 0.4850850917371866, 0.41799266210749064, 0.5625552958849507, 0.5578638739608768, 0.5906730388074031, 0.5462097453089977, 0.4608415626703468, 0.4448217455972481, 0.5030174876894955, 0.532302418035226, 0.476427425455878, 0.5098013465287128, 0.5128939675725964, 0.477957779961935, 0.42963049909869455, 0.4467784581522499, 0.42614809374047447, 0.41554223185445227, 0.39064771413289945, 0.41964824272904455, 0.448483268266732, 0.4695256420867806, 0.03069404288256905, 0.027953471137820207, 0.028847330455965103, 0.03529548862042775, 0.02464490043344547, 0.0, 0.02460342302262708, 0.04478429547832852, 0.025520074458901587, 0.03590048834353199, 0.029508383813445338, 0.03440649415148622, 0.03921335720261321, 0.03037016235820067, 0.04201527826589624, 0.030097134799041747, 0.024311633760116247, 0.03842241607718655, 0.04273624644844809, 0.03532017423424283, 0.028690536593880656, 0.031984396265999804, 0.041628368350551614, 0.030189386772755955, 0.03976607733720272, 0.035802261350203035, 0.03676450393382069, 0.06418641830662519, 0.03327761315961075, 0.03518818501948562, 0.03635447196022257, 0.04066762672540514, 0.052667622092611, 0.034132870758291856, 0.03832897327964857, 0.0646941154879278, 0.04148705353662452], [0.1268740564012839, 0.1504973303585373, 0.1475571107245277, 0.176811798502433, 0.19573261763143568, 0.17266739324677705, 0.14803240697012943, 0.1609223981481327, 0.1451762316925963, 0.15045349017873133, 0.1219308640043606, 0.12925749670345987, 0.11444864196266091, 0.15516755338076615, 0.1370588933885577, 0.13498945297112452, 0.1156512697534322, 0.12012976824198884, 0.11158673384486406, 0.11817010631278713, 0.12341200754703752, 0.12405604556428362, 0.11655102243304472, 0.11017135541997569, 0.11612619804305258, 0.11865018853086418, 0.12083793924937991, 0.12023697899083119, 0.13345048795324188, 0.14157324029774576, 0.1227139592384171, 0.12456233298957009, 0.11728306440608494, 0.13552162700894888, 0.12708776164622027, 0.12395406068192183, 0.13197886350537769, 0.12783128542757216, 0.12886882578336645, 0.1390468901967321, 0.13460911525286234, 0.17188370479932258, 0.4664861965132491, 0.4617491792051539, 0.41898629616329586, 0.3785449982021807, 0.46450297087749504, 0.3957547511732732, 0.3848320589332236, 0.5327203552650375, 0.5574162957517723, 0.4736564178343352, 0.4082021617344437, 0.575511901233984, 0.5700983306875285, 0.6049655520113555, 0.5476887507696038, 0.4332394929772305, 0.40894772244341004, 0.45350317291744446, 0.48586673805766645, 0.43279830843609135, 0.4635943650953134, 0.47444433436725575, 0.44018137482744935, 0.40035350079604737, 0.4172335338230637, 0.40197576110271216, 0.3919461128781502, 0.38389118149430845, 0.3773666638706068, 0.4086513289174719, 0.4301183900314197, 0.04869857189292981, 0.037494608055037015, 0.0387934392952628, 0.03664914696561483, 0.031171952641195766, 0.02460342302262708, 0.0, 0.045919893938138445, 0.03568628848785382, 0.04263433211847745, 0.03246625064451025, 0.05175353667352711, 0.057775820911877496, 0.02608697343867561, 0.05908510290241853, 0.03064456090129497, 0.028003718939554667, 0.04369154019346888, 0.05622929353815376, 0.029506349169588386, 0.04296814059153875, 0.04007287833063222, 0.056658733073841505, 0.043312114835790116, 0.05084530199892212, 0.03803237571363993, 0.049955442520845605, 0.06359724780179232, 0.03849959250199664, 0.03431372704992186, 0.039370053783074344, 0.04066706344694837, 0.04972964120674139, 0.04823982293476692, 0.04688309414791336, 0.05610836916217987, 0.04098238650907138], [0.12212334472132869, 0.152415849837632, 0.1530708574337486, 0.20032978872022122, 0.21823324911993858, 0.17569120582508702, 0.14480397085800545, 0.1727028966708023, 0.16912232655345194, 0.1760862862156123, 0.12857767745314153, 0.13485890530025146, 0.1216010853241063, 0.15608925557488795, 0.14229349021274085, 0.12411560191699234, 0.10032111004181954, 0.09501620301257463, 0.10806999817246543, 0.12103633359763177, 0.13036650475806755, 0.1176722275202221, 0.12391625255887784, 0.10731355180486257, 0.11398588718828984, 0.12120202435840144, 0.12654848563669474, 0.1155992894829525, 0.11884656817419559, 0.13596280357809232, 0.11699529853285728, 0.12096032590931416, 0.10240732777326234, 0.1339591407591766, 0.12143630252882909, 0.11660212551097515, 0.11357337182213167, 0.11556308498360335, 0.12656508769211727, 0.1473717044824866, 0.14519325377490266, 0.18748079687696673, 0.5165316010128209, 0.48393820451748226, 0.5106485993245846, 0.47485352304945583, 0.5243585617231312, 0.47537281466228554, 0.45028378826129134, 0.5945865972549035, 0.6034679251243071, 0.5372113758988017, 0.4854425781259356, 0.6145392950773818, 0.6159138314587026, 0.6550880285883414, 0.6121942846416426, 0.5151072055049594, 0.492265766759744, 0.5400469554939564, 0.5842751229471073, 0.50381534551893, 0.5512605603796317, 0.5606560178391962, 0.5185906578869297, 0.4367358893236134, 0.46182349628065245, 0.46833427081526, 0.4581446218236409, 0.46814727032326486, 0.46486870217232146, 0.5035633481782334, 0.5283341768810259, 0.07850606945819893, 0.05564103015857391, 0.054449465071461534, 0.05220636125439637, 0.03293867166248998, 0.04478429547832852, 0.045919893938138445, 1.1102230246251565e-16, 0.030645466549281353, 0.05017658380960577, 0.03152459181891132, 0.0636683054288324, 0.08038651603929736, 0.03261400916624668, 0.07199655425950657, 0.05023258276248055, 0.04402261059275925, 0.057845850477368566, 0.05835137986327876, 0.03645151442659522, 0.05296022755282137, 0.05466150313843665, 0.07275553602379736, 0.0556829602028962, 0.062126864812738436, 0.06601562746975642, 0.07479731081687824, 0.05858828178307207, 0.07344395479410937, 0.06517892134961845, 0.048733003347943615, 0.05474310941788629, 0.06935577397023551, 0.07501142462924082, 0.0560605702668584, 0.08643543687739386, 0.049467005771973716], [0.1251088237774195, 0.15102543514259725, 0.15896413227804185, 0.1875179320135012, 0.19732949451892567, 0.18476956694506874, 0.14956209566213896, 0.16949859862759975, 0.15106616368535886, 0.16093903907302964, 0.1295730180929422, 0.13496454684400738, 0.1228065191587785, 0.1678504743736824, 0.14190268245605686, 0.13671932689617616, 0.11062710143305188, 0.10826010242053863, 0.11564962628116571, 0.11574229398546754, 0.11665005043996546, 0.11252520219936513, 0.12138082582599485, 0.11271611153421124, 0.1039189650348179, 0.125570540305446, 0.11538971779228135, 0.1217673030924552, 0.11734675186290522, 0.13697810347806416, 0.11722728204417554, 0.12514212629240518, 0.11326857784369504, 0.13994133246550067, 0.1188275433693331, 0.11598991039613427, 0.1305065620129321, 0.12782630722176203, 0.12353233050373014, 0.14431182426821887, 0.14130081635361547, 0.18771183589672658, 0.4923561807578988, 0.47756984329373386, 0.4838332007876782, 0.42672888246232643, 0.49209703136288363, 0.4392248133431915, 0.39550877634359116, 0.5369485631219889, 0.5561492105846142, 0.48102703514455214, 0.40902591310629066, 0.5500152363054012, 0.5447882510023705, 0.5843736749988235, 0.5475508390553765, 0.4448405353065181, 0.4480902119202099, 0.5100716626051235, 0.5336637393219172, 0.4801641000548129, 0.5158914448441774, 0.5189230612905319, 0.48568831885725317, 0.42295349930925563, 0.43815929145860744, 0.4239610780306253, 0.4021605572697966, 0.37843236412636994, 0.4204077624082463, 0.45622503062793474, 0.4810295549817586, 0.04345104980540804, 0.029848236169618514, 0.034708368308353554, 0.03993049395817805, 0.02248151745389315, 0.025520074458901587, 0.03568628848785382, 0.030645466549281353, 0.0, 0.024878662579028155, 0.02544135558555294, 0.03949031292823191, 0.04344499099729837, 0.03427069221286272, 0.044710283031280884, 0.03342870040546808, 0.03405305544743065, 0.04627262167777568, 0.04728364353412773, 0.037801734917883634, 0.035962126924266924, 0.043031217880618144, 0.0515668382580704, 0.032073589726528184, 0.04371094357345262, 0.046113871684458574, 0.05135308546813322, 0.06828973033543517, 0.04995235505561468, 0.045602973274213476, 0.03614255557428814, 0.044607778821979305, 0.059728618897365915, 0.04486320086961526, 0.046989308710788213, 0.07291051279338412, 0.040451749210188126], [0.15331577030314103, 0.17360418811321132, 0.1840715404166653, 0.20966324261159375, 0.23072058185392474, 0.21058936739015466, 0.18185957141031162, 0.19886777145202827, 0.178435873581976, 0.18835550184692573, 0.1470244653698145, 0.15728733962658914, 0.15225781413764083, 0.1940755071603817, 0.17484631780613213, 0.15991674703116332, 0.13113531580212712, 0.12650837779353585, 0.13846146280664762, 0.14198619175579774, 0.14148383273304377, 0.14237390214785806, 0.14472063546934932, 0.13715687938353105, 0.12531827753263092, 0.15145396108613252, 0.14137873595594597, 0.14399511857199288, 0.1437994580569386, 0.167286269348915, 0.1403976295146102, 0.1480080171770407, 0.14445534289140427, 0.1641095429117405, 0.15071062469433238, 0.13987233119179632, 0.1577878506705479, 0.1552070117254123, 0.15747655495105284, 0.17588288750546344, 0.16650088302117882, 0.2148061855384168, 0.49349858353535137, 0.47864051961667575, 0.48094534035750514, 0.4270984895750848, 0.4841332169745418, 0.43549957041351905, 0.4215207653122578, 0.566783466861559, 0.5632498043305174, 0.505046642750846, 0.4233248946895455, 0.5380478006416387, 0.5276534327223742, 0.5733539109465854, 0.5428461669715302, 0.4663121919884913, 0.46272171441751964, 0.507915512709252, 0.5384233657907074, 0.4887697544208165, 0.5191999269711196, 0.5358221720246812, 0.4992194537789215, 0.4227126227664296, 0.4370185425761405, 0.4397172140344585, 0.42385920119832987, 0.4013926448248005, 0.4342535838867537, 0.45900574378825687, 0.48027504585871184, 0.03956207385117749, 0.034248768912343186, 0.046498397734324515, 0.045703292964877074, 0.03169121882515746, 0.03590048834353199, 0.04263433211847745, 0.05017658380960577, 0.024878662579028155, 0.0, 0.0320111961802908, 0.045505981660865835, 0.046264836209990445, 0.043784336451095585, 0.05484143742489889, 0.043828033311238634, 0.04408879402727639, 0.055238812417049976, 0.05299638445362265, 0.04796370556196361, 0.04100204554040876, 0.04754363878073342, 0.05672276887282812, 0.04200783388522411, 0.053605761493837556, 0.0495105081644448, 0.05042700920692533, 0.08540142244561522, 0.04819658618278866, 0.03877303653657149, 0.040673522354007785, 0.04568443696402613, 0.05683594254142621, 0.04452093188568884, 0.04509585433651697, 0.06930627334249839, 0.04535877319218229], [0.1213215335714648, 0.14740698020325604, 0.1525154511134188, 0.18110577316061927, 0.20169140055674495, 0.17207979778294125, 0.1475842269094435, 0.16862248395088109, 0.14553750859931713, 0.16332957876583243, 0.12788480216432596, 0.13135179068985847, 0.11585647490915651, 0.16528159086165894, 0.13797317878417126, 0.13590222199285173, 0.10577838120281191, 0.10803494525872848, 0.11217150950455734, 0.11190509246218272, 0.11314055148587354, 0.11412152513262475, 0.11686091136018362, 0.10986731816970863, 0.10465709743968066, 0.12843052724294823, 0.117739041658393, 0.11918496573500792, 0.12041441668761055, 0.13412966710352237, 0.11735276073585976, 0.12026184128346273, 0.11149137797672082, 0.1423991035451182, 0.12039112488588655, 0.11531926693381578, 0.12088439527610728, 0.12614611016957944, 0.12764245880885838, 0.1401973710830362, 0.1371124856934629, 0.18272254912634134, 0.5092961289378611, 0.4859658109272488, 0.4878588204228165, 0.4474154026770314, 0.5033494845615922, 0.45134482919552465, 0.4189958181484045, 0.552784930575461, 0.5865277079094195, 0.49843990067714417, 0.42046099369612455, 0.5487295961487302, 0.5466070293234861, 0.5838536938551326, 0.5412989665485172, 0.4517356819404865, 0.4560663182759459, 0.5147667643065789, 0.5368004143578187, 0.48502763706621455, 0.5202527381879662, 0.520714396175245, 0.48877659357374537, 0.42027799574992797, 0.4544666169713467, 0.4371628206917182, 0.4231226684044961, 0.4058173893769902, 0.4340383756338856, 0.4762922524154034, 0.5060958764337475, 0.04038853121615982, 0.022253188956351533, 0.02498697568036312, 0.030880160050388294, 0.0222224832425737, 0.029508383813445338, 0.03246625064451025, 0.03152459181891132, 0.02544135558555294, 0.0320111961802908, 0.0, 0.034035229106290976, 0.040257011225114936, 0.02465759796022593, 0.03989526392676013, 0.03782011129539231, 0.027286068771929406, 0.04526335460742015, 0.039474945807847606, 0.030743122368270925, 0.028908602827436125, 0.031004512926965155, 0.047273097017018095, 0.028741475110654946, 0.03625033802011379, 0.04163935154332121, 0.044572555583808904, 0.056955888024696866, 0.047611078419823816, 0.03529657040629497, 0.03034914982616921, 0.03676797681190147, 0.05195869951050902, 0.04635949732226974, 0.031173878739752636, 0.0568022495813757, 0.03049231578349343], [0.13822138780482496, 0.1665216104543351, 0.17586495378007472, 0.19844654689863228, 0.19302917703300437, 0.20424673820760786, 0.15469715330830391, 0.17708313771412376, 0.15151724187770266, 0.16134550354197297, 0.13826580727640325, 0.14854711748605132, 0.14131852146276547, 0.18229355352702914, 0.1493642814506867, 0.16773506084361178, 0.13464767984478687, 0.1313717782050855, 0.13740875036531075, 0.13719728623883654, 0.1299842628910871, 0.13949190385634314, 0.14296133005434664, 0.13179665209725755, 0.11806908349789469, 0.14484742086817703, 0.13220220647109127, 0.14122103599466795, 0.13044012800410854, 0.15092109705603196, 0.13772183716187347, 0.15158936711802218, 0.11842240228643697, 0.15192083125128208, 0.14490915063866405, 0.14115019848481436, 0.16150530799669094, 0.14233155680493448, 0.142024229210456, 0.15707043582340396, 0.14766185393708386, 0.2097607072704506, 0.553234234968057, 0.5494492977167152, 0.5585443699214092, 0.502908840034243, 0.5579130103028124, 0.5082980230243488, 0.47631528986712635, 0.6004461904596348, 0.6245583621773513, 0.5483691468934745, 0.4282316464988527, 0.5188598715465766, 0.5153061978982079, 0.549018059193787, 0.512841759439657, 0.4882398551047875, 0.5141463046559708, 0.5714469331946045, 0.5880796869080028, 0.556330512561813, 0.5691037065252719, 0.5811652728737429, 0.5553089497581474, 0.5057518379368477, 0.5193599361092615, 0.4950382345212657, 0.47639199738543236, 0.42872098824207683, 0.5094743188137241, 0.538127032682711, 0.556738293905645, 0.035264173026586465, 0.026507426391736644, 0.03272034209123964, 0.031314028371638325, 0.034178601093329375, 0.03440649415148622, 0.05175353667352711, 0.0636683054288324, 0.03949031292823191, 0.045505981660865835, 0.034035229106290976, 0.0, 0.029321672421421585, 0.048313735733663155, 0.0345749231148087, 0.04371368782870355, 0.03620909864557942, 0.0429314561643358, 0.04226764166221919, 0.04447467778227232, 0.028797820125508466, 0.03484264436744877, 0.034686733783585666, 0.029168349558080897, 0.03866090637195985, 0.0413873167805443, 0.043189830844474475, 0.05908906243901402, 0.048241513539805436, 0.04717569132969757, 0.04008992534062639, 0.05247997961728523, 0.060671149201086516, 0.036460728536668485, 0.029991787272165116, 0.06273950078546009, 0.04446089176888057], [0.14628887791729195, 0.1655386022363764, 0.17676809222373469, 0.18806606006405757, 0.18380474961644022, 0.20061043970768, 0.15870613075869766, 0.18123348929851546, 0.15299808789293068, 0.15939316925824043, 0.14284910292410757, 0.1481291752155247, 0.1500533952008989, 0.19689445369611658, 0.15648885973431614, 0.1779427835995312, 0.15015035801775356, 0.15181056195316456, 0.14578207246465236, 0.1420098106837181, 0.13387722588172168, 0.14634676069700248, 0.1438796646087357, 0.14401457839574539, 0.12103266991719652, 0.1591962250531077, 0.14318952044982092, 0.15066259400095738, 0.14792520363908612, 0.1680112589148941, 0.1526634478930311, 0.15642449915179424, 0.13623459588225484, 0.16969627307646384, 0.1499633601285869, 0.14657922083511765, 0.1700345064550547, 0.1565882520802071, 0.1557864244963787, 0.16331512150997085, 0.14553437522618307, 0.2056055508045923, 0.5398599355368439, 0.5288995375658307, 0.5310952079747486, 0.47644527649383994, 0.5323653967027637, 0.47868525351781843, 0.4418997073693709, 0.5762448460396509, 0.6027352441722782, 0.533255494863109, 0.36471220089454204, 0.4735843677262943, 0.4720978704865775, 0.5014720977071356, 0.460742455866483, 0.44630203289763826, 0.49682516125641674, 0.5536563406395317, 0.5667145142981954, 0.5432541083113699, 0.5538489532184114, 0.5702593178030656, 0.5435144629318966, 0.48532880973944703, 0.49426899422032144, 0.4774386514226002, 0.4509115467774152, 0.3845995006296308, 0.4830983562992478, 0.5163510959684391, 0.5403469339612013, 0.030431435337001878, 0.026501712427009383, 0.037587113936450645, 0.03357084124674714, 0.04132755978675373, 0.03921335720261321, 0.057775820911877496, 0.08038651603929736, 0.04344499099729837, 0.046264836209990445, 0.040257011225114936, 0.029321672421421585, -2.220446049250313e-16, 0.05320518598321822, 0.03448346495260246, 0.06166366350025465, 0.04435616077171878, 0.06152962312688637, 0.05742929735570079, 0.05661112204465668, 0.032069500151538644, 0.042769971045396704, 0.04448611423332394, 0.03418019610783252, 0.039033095215789015, 0.04614126774075655, 0.048284886837384744, 0.08864955665387353, 0.05352828855924341, 0.0470726737868995, 0.03692228161234057, 0.05287114146115168, 0.06387015235159144, 0.035138440748889055, 0.04117352020035625, 0.06573503706418293, 0.04607638634981659], [0.09387276809506162, 0.12383626055465491, 0.11955821147240797, 0.15196729562990308, 0.1806782948857435, 0.135329054157734, 0.11427371216437299, 0.13690752669953576, 0.12597562851947142, 0.13045841620842136, 0.09527123390851877, 0.10480986194594766, 0.09202200339006383, 0.12164738874391468, 0.11368392775961511, 0.10403473474988889, 0.09366326431585525, 0.09432068494026069, 0.08584073620061483, 0.09444051296483791, 0.10053499764336393, 0.09750108935219515, 0.0919994193981637, 0.08404062828612435, 0.08779446461009599, 0.09593966033657697, 0.0992011146875671, 0.09447162461142022, 0.10727335914874714, 0.1149936145347592, 0.09824256800523012, 0.09391788272551305, 0.08880341821798832, 0.10943513982629371, 0.10179325341413603, 0.09733446472063034, 0.0955415636248731, 0.10033160949674003, 0.10423349024114748, 0.11655394876816683, 0.11097099242904807, 0.15297339657866715, 0.4769773094139371, 0.4522791900644766, 0.44945979815655157, 0.4173908141506478, 0.4789849698236164, 0.4178756783838683, 0.3933780972270995, 0.5364434407518326, 0.5556363349936932, 0.47100669377310445, 0.4242532418901328, 0.5613417335971279, 0.5571238178648534, 0.5956063287359705, 0.5496214745188575, 0.44174557192704567, 0.42884162137214266, 0.476255051260672, 0.5110947125112253, 0.44621726959400876, 0.49228713667595236, 0.49468827143775496, 0.45669395009608027, 0.3939923368719226, 0.4152578491969162, 0.40390062322535747, 0.4023453641421031, 0.3958433003639018, 0.40469647703439593, 0.44373790238582056, 0.47969029482892633, 0.05095701486934534, 0.03133763537619205, 0.02949240759637295, 0.029412098602165204, 0.025147689827441644, 0.03037016235820067, 0.02608697343867561, 0.03261400916624668, 0.03427069221286272, 0.043784336451095585, 0.02465759796022593, 0.048313735733663155, 0.05320518598321822, 2.220446049250313e-16, 0.05269100437911589, 0.0379840750059004, 0.027405580441705824, 0.03960863777314916, 0.058631759475745615, 0.023500221161329993, 0.03542673906109428, 0.03780245529174686, 0.05553045722359373, 0.04029491040658839, 0.05039397219081343, 0.0380156548778956, 0.04934888700454165, 0.053316537699898414, 0.044434932267561456, 0.030884745593715346, 0.02968354875669621, 0.04091236270186405, 0.0405439512111484, 0.05023178547721718, 0.03827263351078369, 0.05310273163335488, 0.027195246447700105], [0.14967229837483165, 0.16801700365235173, 0.17741869258778198, 0.19273850155470884, 0.18491317001234342, 0.1933579064040416, 0.1560489243282973, 0.17736513954377842, 0.15586800794214206, 0.15549978086157257, 0.13296650431198453, 0.13484432282497638, 0.14161154437446022, 0.18239329978555174, 0.14479854178445672, 0.16713082158419312, 0.13344821437445054, 0.1303745647062894, 0.13585502949929418, 0.1330514487717923, 0.13001805456234639, 0.13275998793085753, 0.13769101738415157, 0.12353497023588211, 0.11045782576901175, 0.14469970263621068, 0.12799602204745686, 0.13545001235423804, 0.12649054495189527, 0.14975208238193682, 0.1417042934497229, 0.15069976912848893, 0.12452650927691045, 0.158102307908205, 0.1401210778745683, 0.1400618473817289, 0.14849274700320558, 0.14753731114514945, 0.14730050632089686, 0.14996235203445718, 0.14576414596597675, 0.20084989407211384, 0.538417941964286, 0.528599062265505, 0.5363912854682427, 0.4932265926264623, 0.5445876786892865, 0.49926459534069323, 0.4953717948676979, 0.6223623715039951, 0.5889093748831168, 0.5255671290342142, 0.4175617492382143, 0.5350772726482429, 0.5424698374051157, 0.5666819428967564, 0.5138316958362463, 0.4963470154296973, 0.495296161491931, 0.5432810079225114, 0.5803412261522801, 0.5311277264716537, 0.5530306824380216, 0.5683467349941282, 0.5327017135668206, 0.48414361905960124, 0.4985016038665573, 0.4868225953225793, 0.4747379552151898, 0.4239444864188726, 0.49155178540748046, 0.5154718524043166, 0.5425223123759262, 0.034778336337717874, 0.030127361605845504, 0.027118394620875175, 0.04464993224318614, 0.03626959878512037, 0.04201527826589624, 0.05908510290241853, 0.07199655425950657, 0.044710283031280884, 0.05484143742489889, 0.03989526392676013, 0.0345749231148087, 0.03448346495260246, 0.05269100437911589, 1.1102230246251565e-16, 0.062335028608403786, 0.04725933631481194, 0.04299014756242181, 0.042958082679734666, 0.04156399987692072, 0.023810220570891216, 0.04078406618856956, 0.028557615430827243, 0.02174905850837916, 0.03035493261913047, 0.04007946493994585, 0.04078843259967935, 0.08106737450137547, 0.046011430678508436, 0.04549240756119455, 0.04400012522455532, 0.043974137039868966, 0.04933103796651994, 0.030720976185824145, 0.04108220443374189, 0.05690458849273261, 0.04021631448703056], [0.15555393722153454, 0.1885111187865045, 0.18309581096718575, 0.21681074341904782, 0.2383378054608657, 0.21574712109368255, 0.17906833756519058, 0.19665630899846864, 0.18085844708425303, 0.18712733700389983, 0.1591025145919418, 0.1635967896779026, 0.14462641941956844, 0.19476814673527532, 0.1708859624245731, 0.16303591706111453, 0.13121046867416197, 0.12650421370906673, 0.14148030892960772, 0.14521606393107078, 0.1442882314704813, 0.1399265216980824, 0.14379000402090703, 0.14062811079894577, 0.13349085798533122, 0.14428369479108494, 0.13605752375097313, 0.14553542165523825, 0.14335947526458293, 0.15446940954103516, 0.14115239254479184, 0.15931085392188715, 0.13355768786132272, 0.16025206439511575, 0.13853571333280112, 0.1463555916581386, 0.15902996900917632, 0.15392979953636, 0.14479835274666875, 0.1694974213859125, 0.1693569582320622, 0.22227162400925848, 0.47446968946589785, 0.4751635571696985, 0.4685111003559663, 0.40516295862242335, 0.4720167440872638, 0.4316563610522237, 0.41817570106021196, 0.5384581510732107, 0.5253721137325404, 0.4519220229562396, 0.45241780286470556, 0.584072765452454, 0.5697614353144655, 0.6090692757447582, 0.5770603958144277, 0.44876008236274134, 0.42476392560788045, 0.4908677094076407, 0.5004307146506569, 0.4676166662834599, 0.4799584664434463, 0.49159177336493054, 0.4586248982140312, 0.416150180191146, 0.43344918299357704, 0.40001360775423167, 0.3838155303155023, 0.38489361856508764, 0.40131002617152567, 0.4283925063628887, 0.44890863607525977, 0.046994906893796706, 0.03768438291024079, 0.04295312134067697, 0.0536072999516265, 0.030170571456817674, 0.030097134799041747, 0.03064456090129497, 0.05023258276248055, 0.03342870040546808, 0.043828033311238634, 0.03782011129539231, 0.04371368782870355, 0.06166366350025465, 0.0379840750059004, 0.062335028608403786, 0.0, 0.04005030705885104, 0.03016876635716803, 0.040158239900779935, 0.035549388517581826, 0.04377682960885443, 0.03571264535357199, 0.04850141523497875, 0.04464878172986708, 0.049115182827305204, 0.046235680090581766, 0.04660012342847064, 0.0628515105893992, 0.03995789895770718, 0.04704328549453085, 0.04873123536530566, 0.044327632487377255, 0.06196164343018784, 0.05020568107939716, 0.046060341679624583, 0.06890163344480671, 0.05274245114010023], [0.12208576774291169, 0.15157695283061057, 0.16206454232658218, 0.18276052612750948, 0.1921243419629204, 0.1780409999137551, 0.1515767611966975, 0.1637058411307214, 0.14741658741660946, 0.1645919327953811, 0.12017287399714494, 0.12994486708347996, 0.11963769778827449, 0.16520610073855524, 0.1290199081186857, 0.14733075327756906, 0.10547259742966208, 0.1138828435061886, 0.11766301941976387, 0.11141614728182458, 0.123832709555741, 0.12932425329906794, 0.12099276454078078, 0.11282264906958561, 0.11370541511655308, 0.1332561386912331, 0.1296038730882414, 0.12871302851975508, 0.13623095614934655, 0.16159278052374282, 0.11655764863625795, 0.12600544234134192, 0.11320625446234045, 0.14684579789742147, 0.1298024771107611, 0.1186981024772602, 0.1300513706869565, 0.1332577700576576, 0.13250232228251657, 0.1385951156376588, 0.1325423035406721, 0.1865698620971834, 0.513141014521205, 0.5036575022104972, 0.4962197703696062, 0.4492190226382998, 0.512323091722519, 0.4503885201040543, 0.4256284053417383, 0.5778900228067004, 0.60467138493427, 0.5248577300382604, 0.39542696058520044, 0.5384774062900431, 0.5351879020456266, 0.5642436042479438, 0.5147974605319255, 0.46743902457604947, 0.47513041466939465, 0.5215667871693649, 0.5547726469426464, 0.4975741598850856, 0.5332665947360637, 0.5439705773973078, 0.5096398755024361, 0.4512353701910051, 0.47096718413170946, 0.45887991034015685, 0.4491058301005121, 0.4070479485061572, 0.44822132289691285, 0.47722534487618484, 0.5047198449136521, 0.044931149527745906, 0.02844629541188093, 0.029375189380466016, 0.028080989518736943, 0.03000278269506762, 0.024311633760116247, 0.028003718939554667, 0.04402261059275925, 0.03405305544743065, 0.04408879402727639, 0.027286068771929406, 0.03620909864557942, 0.04435616077171878, 0.027405580441705824, 0.04725933631481194, 0.04005030705885104, 0.0, 0.04425848272096833, 0.039381798694215986, 0.032253714703198266, 0.02306876083595366, 0.03564306912443227, 0.04712384368422984, 0.03216134102498136, 0.04738418075711004, 0.038146994441915494, 0.04537511694337493, 0.03980409772798621, 0.04785560111209575, 0.03808789954508851, 0.04011064442643042, 0.05015644394654262, 0.0668814307935357, 0.04304317621213305, 0.03526118657578259, 0.0658843095847278, 0.035730782432443875], [0.14562447612698637, 0.16481006536715526, 0.16416509741259255, 0.20060466659804554, 0.21284281120238657, 0.1849975428899726, 0.14692935341141122, 0.17452893194913877, 0.17119307038642395, 0.16637528320200534, 0.12777795326899943, 0.13747215374947774, 0.12914725026357865, 0.16716343971833425, 0.15371177042788942, 0.14205860953731542, 0.11208142822037337, 0.10533804305928463, 0.11655914847466287, 0.13251179837221239, 0.12857422822580078, 0.12031185699904734, 0.12488602132818694, 0.1092765925358462, 0.10333014117926609, 0.12132764817918551, 0.107485483429823, 0.10763703804850488, 0.10557776431580845, 0.13199675644363384, 0.12476866299037925, 0.14169960043363694, 0.1094348534861973, 0.13707498258303863, 0.11778347110097342, 0.12462888593250221, 0.12433925707906468, 0.12977059701141536, 0.12335686826989023, 0.15030142662159462, 0.15042897804327182, 0.19948341081964915, 0.49792579564604666, 0.49758648363670377, 0.4992477413933617, 0.4444777469395067, 0.509213329278924, 0.467889895865114, 0.47439723972974457, 0.5879298429968381, 0.5451496095904964, 0.4810685864185573, 0.4768552036676269, 0.5865171823796238, 0.5732139161730261, 0.6144343430810608, 0.5802153187363719, 0.4973309460490133, 0.45739629714400787, 0.508029213258864, 0.5404016501562958, 0.48960838665985307, 0.5105460152412191, 0.5288401868000141, 0.4863879598755637, 0.4367956024031089, 0.4553633570510228, 0.43525110289500757, 0.4310160563479477, 0.42183470913296506, 0.4475626499619755, 0.462170488477748, 0.4892756832044439, 0.05398278257703415, 0.03686862604729346, 0.03407337254579046, 0.048811249175031435, 0.02867749433157607, 0.03842241607718655, 0.04369154019346888, 0.057845850477368566, 0.04627262167777568, 0.055238812417049976, 0.04526335460742015, 0.0429314561643358, 0.06152962312688637, 0.03960863777314916, 0.04299014756242181, 0.03016876635716803, 0.04425848272096833, -2.220446049250313e-16, 0.040272563384202376, 0.027419320265413605, 0.03112937756385359, 0.030462696778958298, 0.029178916721302683, 0.04248869001007671, 0.043560577853998805, 0.03853784229908208, 0.04066971214213777, 0.055910344154329605, 0.03386523082916992, 0.03653109096375862, 0.04430926806056312, 0.033145147691050814, 0.037080695942361186, 0.036641936546008225, 0.03283679798387629, 0.04186018707314776, 0.03637408224770988], [0.1945962361677238, 0.22980601803675482, 0.23290122284140347, 0.26417454695183296, 0.26954082448917915, 0.25792511191071366, 0.21406570431395056, 0.24722811003735978, 0.2149712914596742, 0.23116392952879117, 0.19026353519692474, 0.19525830168438385, 0.1884947686612567, 0.24356679001998682, 0.2027867053505149, 0.21156816032198889, 0.1476212204206997, 0.14184067852633642, 0.17407312004342046, 0.17389324475530332, 0.17829988680762432, 0.16736702024561556, 0.17628922804316838, 0.16420455233922782, 0.1453531065138114, 0.19127227317821327, 0.16041392216119932, 0.16779695543710593, 0.15156379789805097, 0.18634333946583592, 0.17017546530313465, 0.19237189105087982, 0.16171169101570482, 0.2064492277128115, 0.15638738321286483, 0.1687344474141621, 0.1748963286282812, 0.18494444625906337, 0.17871507344172144, 0.20255163917064367, 0.2050194212618487, 0.2630003541850222, 0.5152251615756165, 0.5198085743764366, 0.5145009591615539, 0.4518859353596264, 0.510397292114704, 0.4761643060122698, 0.49075395757334206, 0.6147970232567066, 0.582685665643563, 0.5255624047525311, 0.47283051192173364, 0.5818161104699904, 0.5823131954035452, 0.6134812433953456, 0.5681183009808165, 0.5110487613953236, 0.4817869247823847, 0.5296502353608188, 0.5607984419514751, 0.5194501372815616, 0.5245762550388893, 0.542468246232899, 0.5081473230672511, 0.4591751963363778, 0.4915214279872233, 0.4705232284550275, 0.4585991535299403, 0.4399138030511953, 0.4640657767055453, 0.4850434640389133, 0.495017488178498, 0.05037938863817926, 0.0416801762859641, 0.04441048182873397, 0.06311394941053794, 0.034114559573461545, 0.04273624644844809, 0.05622929353815376, 0.05835137986327876, 0.04728364353412773, 0.05299638445362265, 0.039474945807847606, 0.04226764166221919, 0.05742929735570079, 0.058631759475745615, 0.042958082679734666, 0.040158239900779935, 0.039381798694215986, 0.040272563384202376, 2.220446049250313e-16, 0.04617116768148344, 0.03138836107790344, 0.03894796886637375, 0.04271391793483048, 0.03531116906771736, 0.036822266391305924, 0.06335290767274471, 0.056209842192693205, 0.06359389208861843, 0.05523689954716682, 0.05734024798683701, 0.053613213847472196, 0.04471411752451926, 0.07838094461343925, 0.052960149005110035, 0.04603128940030543, 0.07963646300661997, 0.06266617851711831], [0.11307473258612244, 0.13706038930218511, 0.1371255532387251, 0.1687265884111312, 0.18674942337037548, 0.14592663109070092, 0.11786453903559335, 0.15072717216924714, 0.1409975027691862, 0.14536189696359147, 0.102858587549287, 0.10585204044465757, 0.10096742696501071, 0.14168292978605546, 0.1232708758798794, 0.11571916837674212, 0.08986194680882009, 0.08841837478404424, 0.09070328501550917, 0.10357974503278056, 0.10279673850787174, 0.09045109653520911, 0.09897228116491874, 0.08597562479757903, 0.08913374087457515, 0.10380849326013719, 0.09098644892546248, 0.08711103368826989, 0.09327664726855833, 0.11486737587805684, 0.10095374615996133, 0.10932164667835931, 0.0908418586958043, 0.1131003160506856, 0.0941717299399003, 0.09452458702681743, 0.09222697406610281, 0.10261387245999509, 0.09952368619671359, 0.12314786796340704, 0.1184706100469044, 0.16104587842588758, 0.48953403266686935, 0.475953553138289, 0.48502868738304716, 0.43768779386928214, 0.49229326019422903, 0.447083104186614, 0.44055005231193434, 0.5736628554469506, 0.5727200670834207, 0.4973894214680845, 0.44396809896870204, 0.5785931349165236, 0.5781494226527624, 0.6133469323098271, 0.5658118592846207, 0.4804887422111088, 0.4557658254949458, 0.509711303800233, 0.5348109207909376, 0.473595216821009, 0.5166202694886243, 0.5297085910469476, 0.49036447938953, 0.42334961728245446, 0.43739087751526273, 0.4364286010317586, 0.4288348810981639, 0.42381270582430375, 0.4295819478164805, 0.45168832198934594, 0.4786871101812358, 0.0513595584988048, 0.030537486925865776, 0.027261667280533253, 0.03212486471978093, 0.01860464223066105, 0.03532017423424283, 0.029506349169588386, 0.03645151442659522, 0.037801734917883634, 0.04796370556196361, 0.030743122368270925, 0.04447467778227232, 0.05661112204465668, 0.023500221161329993, 0.04156399987692072, 0.035549388517581826, 0.032253714703198266, 0.027419320265413605, 0.04617116768148344, 0.0, 0.027450700043005205, 0.02879543639802229, 0.04215973292152375, 0.034353969987730215, 0.04045032090788747, 0.03372340415405528, 0.048715167360467104, 0.048459966112334496, 0.04520806547364575, 0.03292701308660351, 0.03170378423035347, 0.03199238838014817, 0.04011870725602562, 0.04803973928463068, 0.0334950274379584, 0.04251542128721808, 0.025189104240227134], [0.13072585141306825, 0.15574318173746515, 0.17156288886511395, 0.18730908503672872, 0.18990886894867542, 0.1788065772320091, 0.14959905546702124, 0.17140014187970665, 0.15564505689507335, 0.16223642677865535, 0.12328856588411341, 0.13217773396743782, 0.12847412337947717, 0.17318839020193566, 0.1364624798405809, 0.151146179326215, 0.10876764398220817, 0.11006290371324423, 0.11907928738177131, 0.11544983579249068, 0.11833170781901603, 0.1224235007596417, 0.1196662374426054, 0.10683039283076501, 0.10134743131188306, 0.1311717478514871, 0.1165330081118795, 0.11949229406371831, 0.11595202305625274, 0.15208868983119395, 0.1201430539608821, 0.13355848406535098, 0.10913000725488942, 0.14765980483118069, 0.1225122683629063, 0.12288987019665842, 0.1251711689608378, 0.13047936336010713, 0.13258880029100528, 0.1401370483554515, 0.13250121124464442, 0.18629481615005972, 0.5241271167131213, 0.5118570521969438, 0.5252448623570458, 0.4754604591277495, 0.5239833582345899, 0.480104310899109, 0.4892064544426695, 0.6340348235983049, 0.5990995954836921, 0.5352820781410856, 0.4157348729822681, 0.5226552355714129, 0.5245083784786146, 0.5500435827365174, 0.5055142172799947, 0.5021672065590366, 0.492922382602792, 0.5431505809150492, 0.5728647239653437, 0.5175522930641943, 0.549126096948228, 0.5718371746986364, 0.5314629736197283, 0.4645798097508965, 0.4859748110887687, 0.4908556560885088, 0.48021429802652793, 0.4317770579742083, 0.4772130240888597, 0.49272442269436334, 0.5183737806668959, 0.03151311176700189, 0.020380327790052832, 0.020698319059521242, 0.03057124511238718, 0.023773594118060015, 0.028690536593880656, 0.04296814059153875, 0.05296022755282137, 0.035962126924266924, 0.04100204554040876, 0.028908602827436125, 0.028797820125508466, 0.032069500151538644, 0.03542673906109428, 0.023810220570891216, 0.04377682960885443, 0.02306876083595366, 0.03112937756385359, 0.03138836107790344, 0.027450700043005205, 0.0, 0.025072521150552363, 0.02730450134170559, 0.02252680131069651, 0.03388262934175845, 0.027446556444765235, 0.03310803870572243, 0.05095294365381664, 0.04125028360498206, 0.027414824924302805, 0.03223605346623937, 0.03736145183933959, 0.049164038057118886, 0.02640179969569012, 0.02443069936872788, 0.0535768585808134, 0.025578722360119044], [0.1519763852135554, 0.17508352550594275, 0.17465058366833397, 0.21074329134754954, 0.22331103197029234, 0.18845124200730523, 0.15839003562478715, 0.19182659789634238, 0.17079736405283696, 0.17849438139640217, 0.14639983885465913, 0.15179365190972327, 0.13752077112478456, 0.1863235500837288, 0.1638493522229022, 0.1580298992180521, 0.12186180968383342, 0.12603717406514847, 0.12783335215557623, 0.14002143078746387, 0.1321643503413118, 0.12515288195032281, 0.13173977835761397, 0.12034498402120619, 0.11561473359311136, 0.13539489203781063, 0.12242140299893212, 0.12669883405172444, 0.12072621821562002, 0.14042321618491072, 0.14207388004511623, 0.14858680544956793, 0.12916032791432608, 0.15114453484937662, 0.13314335494481333, 0.13739087151048102, 0.14242915081295726, 0.14632777104126993, 0.14153514544155554, 0.16523677923657665, 0.15772514921853253, 0.20996916225243656, 0.5187406895903639, 0.511273459898296, 0.5120521299340646, 0.4606688124309194, 0.5209194266827135, 0.47459628952301425, 0.44713698690699, 0.5698616756624899, 0.5887336164303759, 0.5102686799095828, 0.46117069445098036, 0.579684503390351, 0.5775445438674183, 0.6147099737382449, 0.5723971440767978, 0.48434167659117544, 0.47944028163086605, 0.5279328490718248, 0.5521176847682072, 0.5047967040831107, 0.5325002727827409, 0.5451705073449631, 0.5092743041324073, 0.45877434368612735, 0.4764197626702804, 0.45349143451013574, 0.44116923736354097, 0.42906497746254635, 0.4580023535261093, 0.48504363846254284, 0.5076043480908752, 0.037195427924401336, 0.02507692935728878, 0.030068061416846037, 0.038046276211290087, 0.021303783963699363, 0.031984396265999804, 0.04007287833063222, 0.05466150313843665, 0.043031217880618144, 0.04754363878073342, 0.031004512926965155, 0.03484264436744877, 0.042769971045396704, 0.03780245529174686, 0.04078406618856956, 0.03571264535357199, 0.03564306912443227, 0.030462696778958298, 0.03894796886637375, 0.02879543639802229, 0.025072521150552363, 0.0, 0.029452538177068832, 0.02663959752404943, 0.01925728319507336, 0.030273628254582463, 0.042110348015087506, 0.058760177240190004, 0.03373530929983759, 0.02958318235229096, 0.02953274148242946, 0.021681256699598306, 0.040247699429988404, 0.03359044724096827, 0.02057351567234189, 0.03682308105694865, 0.03105198895253214], [0.1648719299493958, 0.18475364052279453, 0.18274019542586484, 0.21024251310237008, 0.2108138779208677, 0.20806235137527385, 0.16751471472793045, 0.19495517978064003, 0.16821434603135765, 0.17338472868223687, 0.14500812878217328, 0.15232920994992394, 0.1506114786884608, 0.1917075249487037, 0.16054781886463787, 0.17569407646294954, 0.13353699728912116, 0.13161168412675084, 0.13938733707394924, 0.14329263601071152, 0.1374185903346682, 0.1307350072563419, 0.1386692946017717, 0.12440150295146923, 0.10899425470554092, 0.14423430754920985, 0.1224814533443106, 0.13107351439967618, 0.12295864248457522, 0.144620998300795, 0.14998423526779592, 0.16497444705585396, 0.13628959313696154, 0.16233318599682367, 0.14803755729176016, 0.14863222514424856, 0.16045997631310494, 0.1584329895633182, 0.15346848350346087, 0.1686546240242982, 0.16826887770826415, 0.2251198059552172, 0.5343649585352768, 0.5305804618524881, 0.5375444896083108, 0.4914009105145666, 0.5495328512247547, 0.4996730554058957, 0.49796256757557855, 0.6071732306252882, 0.5702672099851562, 0.5135165382230629, 0.44341439649404735, 0.5495121152353801, 0.543153279235206, 0.5763490883703943, 0.535306430973916, 0.5007596412454536, 0.49482866429238104, 0.5339029068984853, 0.5708819652921684, 0.5236326695111331, 0.5439607931331133, 0.5638675853111892, 0.5220660514925786, 0.483849654458388, 0.4990725632856038, 0.4720172803273227, 0.4580213255451372, 0.4211308937567477, 0.49340754916684737, 0.5144754054623247, 0.5447350539461151, 0.04447617928866021, 0.03354251015507259, 0.034498210791095274, 0.05600964176796508, 0.03744693504762764, 0.041628368350551614, 0.056658733073841505, 0.07275553602379736, 0.0515668382580704, 0.05672276887282812, 0.047273097017018095, 0.034686733783585666, 0.04448611423332394, 0.05553045722359373, 0.028557615430827243, 0.04850141523497875, 0.04712384368422984, 0.029178916721302683, 0.04271391793483048, 0.04215973292152375, 0.02730450134170559, 0.029452538177068832, -2.220446049250313e-16, 0.028157880536099245, 0.024363473065730612, 0.04644272744213973, 0.03983451178829778, 0.07516427716790597, 0.03212151992039469, 0.03825136499604642, 0.044263806787368076, 0.03458475732299382, 0.04100376252330418, 0.030465754790742205, 0.03541166604383372, 0.04800128819121874, 0.043246749878823376], [0.15088271076277204, 0.17467952915609364, 0.18062466275537925, 0.20288341404166976, 0.2014545002624586, 0.2028827506027504, 0.16604753462548383, 0.19223650616981758, 0.15671626632195068, 0.17092530790582605, 0.1434554282294006, 0.14510859754247019, 0.14236968177476395, 0.1892273626788351, 0.15299312766938544, 0.17165263579117507, 0.12233239357857062, 0.12422598473800872, 0.13377517821956952, 0.13253356366271762, 0.12913539782132333, 0.12663642032314293, 0.13194557487029845, 0.12264773766692894, 0.1070098177653157, 0.1443818916423405, 0.12444869077688003, 0.1345615574737613, 0.1220522310151827, 0.1429599030778217, 0.143644443786915, 0.15201166331987048, 0.13411543556337058, 0.16295683716628295, 0.13958527917386676, 0.13734653894673787, 0.15051038686079954, 0.15506889448266425, 0.14823584471019702, 0.16198593369300784, 0.1560167135212368, 0.21434806736937118, 0.5211064695151579, 0.5141550039378617, 0.5121885768284143, 0.46130540709070356, 0.5250844790370799, 0.47003370567456704, 0.4534815205107643, 0.5886756365027361, 0.5837284001357077, 0.5152469756562098, 0.40791933828005156, 0.5310612213766996, 0.5374113952244544, 0.5677095088612487, 0.5137243559027711, 0.4722027924040173, 0.47947603474108025, 0.5210147528110614, 0.5585619832059943, 0.5080612250684684, 0.5342672293427502, 0.546007107755053, 0.5114183651927133, 0.4643577811822436, 0.483490134724589, 0.4636058972590156, 0.4472509396167539, 0.4056073428846142, 0.46493051448520495, 0.4953173602608467, 0.520119463464376, 0.030580122988904446, 0.023141977262482794, 0.02139075734748308, 0.039503835763947115, 0.028098106324556227, 0.030189386772755955, 0.043312114835790116, 0.0556829602028962, 0.032073589726528184, 0.04200783388522411, 0.028741475110654946, 0.029168349558080897, 0.03418019610783252, 0.04029491040658839, 0.02174905850837916, 0.04464878172986708, 0.03216134102498136, 0.04248869001007671, 0.03531116906771736, 0.034353969987730215, 0.02252680131069651, 0.02663959752404943, 0.028157880536099245, 0.0, 0.022084340344939446, 0.03433366855361453, 0.046504094817064745, 0.06974165305571733, 0.040977858857527694, 0.03533459818437945, 0.03182547686197479, 0.03575344101228539, 0.04639250184581856, 0.03355325486625216, 0.031329921707363595, 0.05378256875171583, 0.036108019384389234], [0.1742588386210593, 0.19869895228290013, 0.193514802626089, 0.22367377037604297, 0.2269457545737873, 0.21303585799017066, 0.16923373867089175, 0.21047922484024628, 0.17385519316878484, 0.18298373191056183, 0.15718394817854509, 0.1601676054959441, 0.15748864418831854, 0.2069668746688561, 0.17553164050251568, 0.18177289105054728, 0.14029816247913052, 0.14150762439485853, 0.14524015701132942, 0.15475566549302544, 0.1458394192147805, 0.1312964347143566, 0.14688524582252105, 0.13521833159438834, 0.11784383405756149, 0.15547157528461264, 0.132800257894506, 0.14220295817656003, 0.12851187614937176, 0.1414210778232491, 0.1610569011147409, 0.17044654603635712, 0.14733674785110262, 0.17080388060194251, 0.14434656895865206, 0.1525647024041128, 0.16352438656466672, 0.16859199625824184, 0.15557224014242865, 0.18005030387293453, 0.17710814947956055, 0.2358142520908999, 0.5277299697612832, 0.522220368990981, 0.5207563989262463, 0.47309051559139015, 0.5351775384184627, 0.4876732898761291, 0.45952092484347784, 0.5792931186387149, 0.5899028016403237, 0.5240857262692233, 0.4494853960878967, 0.5771697518694101, 0.5827290742769169, 0.6157110287621164, 0.5626478500070979, 0.48890470340395986, 0.49066556104965986, 0.5304001697183467, 0.5695290884367414, 0.519213495542848, 0.5409089410313419, 0.5500063643528446, 0.5141626369850553, 0.47693184497274543, 0.4933389526083507, 0.4619363994669464, 0.44551742578477904, 0.4264201705150885, 0.4768929021794608, 0.5116105823072856, 0.5320553812582638, 0.03970090323919606, 0.02988342855796411, 0.03489411623309868, 0.0519487823614283, 0.02931869325855818, 0.03976607733720272, 0.05084530199892212, 0.062126864812738436, 0.04371094357345262, 0.053605761493837556, 0.03625033802011379, 0.03866090637195985, 0.039033095215789015, 0.05039397219081343, 0.03035493261913047, 0.049115182827305204, 0.04738418075711004, 0.043560577853998805, 0.036822266391305924, 0.04045032090788747, 0.03388262934175845, 0.01925728319507336, 0.024363473065730612, 0.022084340344939446, 0.0, 0.04880127964150471, 0.05175755615912414, 0.08198571543241628, 0.03866574551755442, 0.04419187539393121, 0.03533777232272617, 0.027978302899763774, 0.04519003627408402, 0.03859724266312736, 0.033903171815954924, 0.0494870284388238, 0.04511537377705244], [0.12308139356405634, 0.14170492052352934, 0.14944142820882111, 0.17269280601128922, 0.17976887092680294, 0.16191095026948954, 0.13992545243957843, 0.14926091585297074, 0.1427743705036555, 0.13932293794523654, 0.11469864374871352, 0.12691325401022646, 0.11252787756502969, 0.1531845037483488, 0.13249009523241229, 0.13152658118305305, 0.1136328828408506, 0.12065865999729208, 0.11040991516818888, 0.11580772389059268, 0.10837169439461591, 0.1254086143546228, 0.11251206723616136, 0.10698447093121444, 0.11099747315880082, 0.10871002783217854, 0.11326961824586601, 0.11862020103177817, 0.11939001232114199, 0.13583467746115474, 0.12142609752815137, 0.12500932980302937, 0.10561837673763752, 0.1265237712162488, 0.12804791650971992, 0.1248372814962152, 0.12982694283848084, 0.12076312686385648, 0.1259601126639247, 0.13500392462596056, 0.12000045780587476, 0.16657847631951206, 0.5036440551060565, 0.4911756612163136, 0.5091990835602971, 0.45446801419668215, 0.5021458741280744, 0.46674193869573044, 0.46079636609144814, 0.608900025137781, 0.5891854270570133, 0.5206720206649738, 0.4267868312749552, 0.5687908255652832, 0.5687720559452364, 0.5960192100507593, 0.5479514169412831, 0.49677440765894465, 0.48389136931560994, 0.5448560434646206, 0.5659594250647664, 0.512257868485985, 0.5484256028512793, 0.5661621626478329, 0.5279652232420472, 0.46193920231302976, 0.4698478265029654, 0.4749223446356764, 0.4570154838353474, 0.4269672662174845, 0.45212989081177857, 0.46882088821328105, 0.49274013957549523, 0.029912993961725087, 0.028200592530795876, 0.02695103490909123, 0.031572583176695646, 0.03247213604908672, 0.035802261350203035, 0.03803237571363993, 0.06601562746975642, 0.046113871684458574, 0.0495105081644448, 0.04163935154332121, 0.0413873167805443, 0.04614126774075655, 0.0380156548778956, 0.04007946493994585, 0.046235680090581766, 0.038146994441915494, 0.03853784229908208, 0.06335290767274471, 0.03372340415405528, 0.027446556444765235, 0.030273628254582463, 0.04644272744213973, 0.03433366855361453, 0.04880127964150471, -2.220446049250313e-16, 0.030214798448352176, 0.05853028646624825, 0.041921315807956105, 0.02647258738909042, 0.028853989513473288, 0.03984255275757853, 0.038781089665046786, 0.028849066598307882, 0.02456542332481293, 0.04116816975581272, 0.024676343078941065], [0.14673129104937943, 0.16799508191965395, 0.17658456379549559, 0.1920476626649953, 0.20579530589287365, 0.19446924877418614, 0.1751523273066964, 0.17377265135331843, 0.1683136064281967, 0.1610844124039298, 0.141328101284251, 0.15409247099265055, 0.13904780583355847, 0.18391554436440993, 0.15373136312279312, 0.15616924229840057, 0.13848059093875498, 0.1332205861082899, 0.14277125009965508, 0.13632365652578882, 0.13590220346605852, 0.15239398642775537, 0.13638799838628146, 0.1362498913416782, 0.13477725657994866, 0.1407057268050329, 0.137335534710895, 0.14841289359870535, 0.15266686237177785, 0.16599206720358184, 0.14176173060990394, 0.14815798857699525, 0.12984815294854501, 0.15970995623878703, 0.1539963570394427, 0.14946953785676087, 0.1575797074734403, 0.1495891950661189, 0.14547822160268964, 0.1513388177451468, 0.15265225617950584, 0.19221939812538325, 0.4950228363926191, 0.4810235151294493, 0.5154366015822587, 0.46212435702597765, 0.5130969111021093, 0.4734956830879159, 0.44839264880586227, 0.5745034469009545, 0.5705028312281162, 0.4976097749784213, 0.4413185062950141, 0.5741992684639875, 0.5648342368956341, 0.592658341593975, 0.5563587124942998, 0.4820956274354392, 0.4718829431875676, 0.5394407053874589, 0.5535219557464746, 0.49723216228582323, 0.5400760959381053, 0.5457835678489391, 0.508931381986145, 0.4657394399992988, 0.4752992409710698, 0.45033387540119896, 0.4356818491784237, 0.4151462154483324, 0.45120466283022453, 0.4789324257016221, 0.5145559246170581, 0.029877848110098637, 0.02857820215804474, 0.030872873329955697, 0.04736612602841839, 0.03927823900420313, 0.03676450393382069, 0.049955442520845605, 0.07479731081687824, 0.05135308546813322, 0.05042700920692533, 0.044572555583808904, 0.043189830844474475, 0.048284886837384744, 0.04934888700454165, 0.04078843259967935, 0.04660012342847064, 0.04537511694337493, 0.04066971214213777, 0.056209842192693205, 0.048715167360467104, 0.03310803870572243, 0.042110348015087506, 0.03983451178829778, 0.046504094817064745, 0.05175755615912414, 0.030214798448352176, -2.220446049250313e-16, 0.07150640960090782, 0.033319883018451124, 0.031879900678708495, 0.04400306545181876, 0.04801136341249601, 0.046246881238144466, 0.029021050693872064, 0.03572221775361861, 0.0503518033290693, 0.038955147135045], [0.137457170291706, 0.17348858240368104, 0.17870418390266862, 0.21953841577102884, 0.2194727687982212, 0.1928938868461263, 0.15595979179509234, 0.17998672099946178, 0.16786236133125587, 0.1804461269302613, 0.1373099657035216, 0.14866293499790317, 0.1323698958048849, 0.18672033772534513, 0.14170096184304803, 0.15388863166978617, 0.10919943610483851, 0.11748164994352284, 0.12855977015156006, 0.12758524492783918, 0.13321280297496163, 0.13472539856998478, 0.136081397768121, 0.11442093574808532, 0.12962107416735724, 0.13825349710618728, 0.13695677466438438, 0.13305337164543884, 0.13747165187044186, 0.16059166249319234, 0.12531696403788195, 0.1404664162744913, 0.10489182200864455, 0.14887333310346917, 0.13908827846345118, 0.13361353085506866, 0.13664020557366352, 0.1266135342891207, 0.13990200341174908, 0.14790164201046263, 0.14541257016671694, 0.19705861586745188, 0.5452323649405673, 0.5334447638007247, 0.5628636899373307, 0.5139620755616092, 0.5464762269711949, 0.5110814948951093, 0.4906605723827093, 0.6092609587385683, 0.6358484666353532, 0.5554650768248048, 0.4641476938274649, 0.5844805155876196, 0.5765016508576222, 0.6037137066102569, 0.5664940927036197, 0.518846091785399, 0.5260483587540676, 0.5892581210321646, 0.603581650933571, 0.5604591483292202, 0.5804464970077922, 0.5963813664295767, 0.5658700194774551, 0.48967224188533265, 0.509460924275844, 0.5031919665845397, 0.4813968868975791, 0.4641492971810264, 0.5071800099371143, 0.5339764018028422, 0.5491807093053762, 0.08099343219337185, 0.058852944691712095, 0.05713575221551259, 0.047109090314723434, 0.05165839282855167, 0.06418641830662519, 0.06359724780179232, 0.05858828178307207, 0.06828973033543517, 0.08540142244561522, 0.056955888024696866, 0.05908906243901402, 0.08864955665387353, 0.053316537699898414, 0.08106737450137547, 0.0628515105893992, 0.03980409772798621, 0.055910344154329605, 0.06359389208861843, 0.048459966112334496, 0.05095294365381664, 0.058760177240190004, 0.07516427716790597, 0.06974165305571733, 0.08198571543241628, 0.05853028646624825, 0.07150640960090782, 0.0, 0.09008146488851576, 0.07292025912728695, 0.061032916797424175, 0.07536838053382633, 0.08809992063187178, 0.07745798571357387, 0.04969067176316855, 0.08999038868794218, 0.05949440983607068], [0.16405869216904057, 0.18145720741692506, 0.17227290436837528, 0.20233150312478299, 0.21994824442151284, 0.2017618385552642, 0.1766063582924151, 0.18978452315080185, 0.17238282057505416, 0.1660249672533698, 0.14581193234772216, 0.15655121917154535, 0.14958844775086722, 0.18155879712196354, 0.1692088968479627, 0.16793300793374655, 0.14277865314475913, 0.14017944725352527, 0.14310789400241242, 0.15012526300464202, 0.14823146928083275, 0.148029397380246, 0.1403658820653637, 0.14082857473548938, 0.1305977739713683, 0.14362707096098493, 0.13695778299581973, 0.1418393742040447, 0.1472694119389285, 0.15607971509130247, 0.15151556433572433, 0.15450475128093866, 0.14538236283392325, 0.16296128171936197, 0.1557431293796011, 0.15254120767652968, 0.1633826285417339, 0.1634197052783518, 0.15581990867969497, 0.17042906404958824, 0.1686997565579509, 0.20896478427450982, 0.4894328394453469, 0.47942611378759636, 0.4735452096608812, 0.4238567149796434, 0.49732520823659854, 0.44131561614331727, 0.4078817872785554, 0.525842351449907, 0.5169462694604516, 0.4380396648104742, 0.43489165195324153, 0.5722859176100652, 0.5616434468004676, 0.6017161952849255, 0.5592332030680769, 0.4436674456002384, 0.42853804367663884, 0.47402805899473366, 0.5128886611645105, 0.454667204346932, 0.4943170115759248, 0.4908938024610706, 0.45342726768750385, 0.42342235003916184, 0.43829996003661387, 0.39473218379771535, 0.3917187351403427, 0.3701116588290372, 0.4176361186450719, 0.45060864544442936, 0.4902240585803136, 0.04064926905896382, 0.029208019939372387, 0.0369726416591768, 0.05592895337896331, 0.041161918783749196, 0.03327761315961075, 0.03849959250199664, 0.07344395479410937, 0.04995235505561468, 0.04819658618278866, 0.047611078419823816, 0.048241513539805436, 0.05352828855924341, 0.044434932267561456, 0.046011430678508436, 0.03995789895770718, 0.04785560111209575, 0.03386523082916992, 0.05523689954716682, 0.04520806547364575, 0.04125028360498206, 0.03373530929983759, 0.03212151992039469, 0.040977858857527694, 0.03866574551755442, 0.041921315807956105, 0.033319883018451124, 0.09008146488851576, 0.0, 0.030179047651648583, 0.04278409071053424, 0.029300837809010827, 0.032355900527146875, 0.02563709238996903, 0.037104706917988395, 0.035874582773263275, 0.04333587865645061], [0.12785677069585766, 0.146439598269546, 0.15427611353299375, 0.16916841149616535, 0.19496295110063266, 0.159974001768302, 0.15045592657635354, 0.163622229676623, 0.14823691822434093, 0.15080272760852165, 0.12261880379866341, 0.1294975265647611, 0.11931333988323478, 0.15879697492465383, 0.14365979813427565, 0.13719291347719131, 0.1135673076682987, 0.11404512397935296, 0.1115178675417755, 0.11241018880781584, 0.11143856521662587, 0.11485274120263322, 0.1033715867692262, 0.10188096112441447, 0.09485789129019473, 0.11409789934796288, 0.10078136752092581, 0.1063589779298465, 0.11550820245127835, 0.13684201486180547, 0.12301747245928663, 0.12110332497215281, 0.11626671123767107, 0.13762526479927983, 0.12377144585764988, 0.12146927807707109, 0.12068657349089229, 0.12483984746411059, 0.13030332495093055, 0.13732831538287027, 0.1298631757668044, 0.17103411918997125, 0.4840065992270356, 0.4738920708127329, 0.4696724457930558, 0.4238869135855313, 0.4865578632590234, 0.430466599849032, 0.4273794803241273, 0.5601611635165491, 0.5543117265767135, 0.47834486223263406, 0.41774823941508255, 0.5325407810134821, 0.5201374496221498, 0.5567824028002291, 0.5186377114347656, 0.45219628157208513, 0.4417019618283643, 0.48662610871509715, 0.506853679684746, 0.460087121512717, 0.4996057053934263, 0.5111812639553358, 0.4757323728776013, 0.4214428511885129, 0.43679174034248947, 0.4264202402053665, 0.4207082649439847, 0.38973634504517385, 0.4144006996643622, 0.43889300872904724, 0.47263100850085793, 0.03352865941990213, 0.0243369561871567, 0.02577814507726106, 0.03842867916819315, 0.029313673615802838, 0.03518818501948562, 0.03431372704992186, 0.06517892134961845, 0.045602973274213476, 0.03877303653657149, 0.03529657040629497, 0.04717569132969757, 0.0470726737868995, 0.030884745593715346, 0.04549240756119455, 0.04704328549453085, 0.03808789954508851, 0.03653109096375862, 0.05734024798683701, 0.03292701308660351, 0.027414824924302805, 0.02958318235229096, 0.03825136499604642, 0.03533459818437945, 0.04419187539393121, 0.02647258738909042, 0.031879900678708495, 0.07292025912728695, 0.030179047651648583, -2.220446049250313e-16, 0.024634893815867365, 0.026670691415170977, 0.026611113160154187, 0.02702250333309797, 0.026550873608209402, 0.032711164043245256, 0.019643976188644885], [0.13156347201511664, 0.15480988855628708, 0.15822468011130375, 0.18847856830729692, 0.19910478280721355, 0.16750261331990546, 0.14042052992502518, 0.17076718757228893, 0.14888043552427999, 0.15208632992344973, 0.12593949763352008, 0.13334825789760218, 0.12526374346488212, 0.16730284133846818, 0.14771350953461992, 0.14078929798593054, 0.11748683260001735, 0.12020845875215525, 0.10692769130098279, 0.11979467454303339, 0.11217424348156535, 0.1077292787025037, 0.11410839758089963, 0.10391975341896664, 0.09212842335148907, 0.11921511309833133, 0.10417432745750221, 0.10849392636874311, 0.10241483398113005, 0.11951709236663788, 0.13082323132709317, 0.12341037982606817, 0.11298267270542828, 0.1382306604884176, 0.1158771347891322, 0.12051043252336524, 0.12635559724389223, 0.1286088955015665, 0.12858801938868802, 0.15100948301047123, 0.13790252312965978, 0.1880371055303467, 0.5124700896002525, 0.49900829964697535, 0.49171209709218144, 0.4459888681194294, 0.5082421003831864, 0.4544107702049457, 0.42612976372960454, 0.5742323225876812, 0.5864140648596119, 0.5180112663205294, 0.42458910076440415, 0.5552296095156426, 0.5517316909820871, 0.5900823639019737, 0.5419224925815994, 0.4764210011539578, 0.4793696907535465, 0.5226730769703458, 0.5607014169792273, 0.5081585429712839, 0.5381783750505017, 0.5486504180535647, 0.5123326500404307, 0.45383396103185314, 0.46807157297753554, 0.45592528940786714, 0.44212936284696536, 0.4094503660499622, 0.4523680147179364, 0.48243619940275984, 0.5065899241293386, 0.03402546521388039, 0.027029164435535602, 0.029219572807580807, 0.032116193023884354, 0.026223510623690216, 0.03635447196022257, 0.039370053783074344, 0.048733003347943615, 0.03614255557428814, 0.040673522354007785, 0.03034914982616921, 0.04008992534062639, 0.03692228161234057, 0.02968354875669621, 0.04400012522455532, 0.04873123536530566, 0.04011064442643042, 0.04430926806056312, 0.053613213847472196, 0.03170378423035347, 0.03223605346623937, 0.02953274148242946, 0.044263806787368076, 0.03182547686197479, 0.03533777232272617, 0.028853989513473288, 0.04400306545181876, 0.061032916797424175, 0.04278409071053424, 0.024634893815867365, 2.220446049250313e-16, 0.026772012892622432, 0.03239165185521786, 0.032171197128095574, 0.02461708236481719, 0.04193996542603928, 0.022962516188270943], [0.16223420402960997, 0.18134154427031313, 0.1740835410130812, 0.21054395808799165, 0.23102373894956652, 0.1869759803809795, 0.16424949714095027, 0.19802216093481773, 0.17614020881378512, 0.1793320826918462, 0.14636428233828402, 0.15062312812630574, 0.1426805093638236, 0.18784753631103612, 0.1756644179170398, 0.15860142400258126, 0.12156433564165703, 0.12220305387667263, 0.12721751444065965, 0.14113243591114188, 0.13513028958243645, 0.12271077250917206, 0.12695284072124324, 0.12039127454025522, 0.10869393245852854, 0.13482520120007302, 0.11472017877227347, 0.11978894332247247, 0.11708351047151289, 0.13597691547606117, 0.14340369916565265, 0.14564167794721405, 0.13627315221342884, 0.1567497235754205, 0.1254798316203527, 0.13197886560467476, 0.13563003690786246, 0.14761368886279924, 0.14751001082601156, 0.16768568511199633, 0.16426436931979405, 0.21126126329220318, 0.5121658494280508, 0.5021926181264409, 0.4829620596265153, 0.43872825308036123, 0.5114376439525595, 0.45815052321105, 0.43233851958263647, 0.5483353577847622, 0.557445670709452, 0.47909031006147706, 0.45255348143558394, 0.582010594804562, 0.5719708160975172, 0.615205365675253, 0.5754312764753104, 0.4643832040582909, 0.45504684797803896, 0.4976523729974808, 0.530608514893237, 0.4890603381318216, 0.5100512344656098, 0.5185643339294758, 0.4872110802096098, 0.43439670297040256, 0.457966953987178, 0.43022210277073436, 0.41663673293746106, 0.40051115188184516, 0.43424275524465805, 0.46611287911186017, 0.4920212728871286, 0.04566511625251379, 0.03019202966095713, 0.03568075538868354, 0.05150970305488667, 0.02334201259160007, 0.04066762672540514, 0.04066706344694837, 0.05474310941788629, 0.044607778821979305, 0.04568443696402613, 0.03676797681190147, 0.05247997961728523, 0.05287114146115168, 0.04091236270186405, 0.043974137039868966, 0.044327632487377255, 0.05015644394654262, 0.033145147691050814, 0.04471411752451926, 0.03199238838014817, 0.03736145183933959, 0.021681256699598306, 0.03458475732299382, 0.03575344101228539, 0.027978302899763774, 0.03984255275757853, 0.04801136341249601, 0.07536838053382633, 0.029300837809010827, 0.026670691415170977, 0.026772012892622432, -2.220446049250313e-16, 0.027921718974295406, 0.0319109557767141, 0.026933043413606472, 0.030983471150150543, 0.028167502167749547], [0.14334795541081669, 0.1539595701864459, 0.15097950983962083, 0.1829992659711447, 0.2043597948190916, 0.1657135387718779, 0.14412100110047166, 0.1710628947722057, 0.15540236693259346, 0.14538804841699382, 0.11968624813717599, 0.12977422249629067, 0.1279310075747898, 0.15427016212607803, 0.1568195337013365, 0.1355636467674275, 0.1261857893159649, 0.12213855142806451, 0.112804316580843, 0.13234186263278713, 0.12253302425626234, 0.12015184530253087, 0.11440449873412128, 0.10634920228596556, 0.09858866091955121, 0.11352743399181586, 0.10541110632117145, 0.10651943044056444, 0.11009435451413385, 0.11934756450287065, 0.14087801149481183, 0.13088325702776205, 0.12544463012909746, 0.13254299069850617, 0.13463226746694712, 0.13237357046608644, 0.13086794175641436, 0.1314222912423746, 0.13899819751412668, 0.1518925420084557, 0.14443239007198239, 0.18252987951094557, 0.5026480705291706, 0.4802908007468809, 0.48690173659041036, 0.45187651423243114, 0.5104637255089672, 0.4609209628567398, 0.45368402988770795, 0.5702447678671538, 0.5399065026425016, 0.47415493854560453, 0.4648613324907396, 0.5729406134938502, 0.5640367059349247, 0.6066134229107918, 0.5677845521983578, 0.4812612551448473, 0.4561827333972075, 0.4981924622748999, 0.5370854549433344, 0.4766349548946073, 0.5167539299034456, 0.5237120061463383, 0.48055150340491015, 0.42792565480890765, 0.44525091445235454, 0.42811230903991315, 0.4264196783170938, 0.41490840334109313, 0.44803730847666157, 0.4747594285837382, 0.5109322841711825, 0.04879986956823401, 0.043836322635888214, 0.03905182727668444, 0.050682396838255483, 0.0425186197133951, 0.052667622092611, 0.04972964120674139, 0.06935577397023551, 0.059728618897365915, 0.05683594254142621, 0.05195869951050902, 0.060671149201086516, 0.06387015235159144, 0.0405439512111484, 0.04933103796651994, 0.06196164343018784, 0.0668814307935357, 0.037080695942361186, 0.07838094461343925, 0.04011870725602562, 0.049164038057118886, 0.040247699429988404, 0.04100376252330418, 0.04639250184581856, 0.04519003627408402, 0.038781089665046786, 0.046246881238144466, 0.08809992063187178, 0.032355900527146875, 0.026611113160154187, 0.03239165185521786, 0.027921718974295406, 0.0, 0.03655818226377605, 0.03259594247359898, 0.02594130127261618, 0.028791585025605748], [0.15224876503264362, 0.17215202539128316, 0.17914833235284733, 0.1941935639464598, 0.19624945348033074, 0.1946593645030963, 0.16929431678418438, 0.1800880125283827, 0.1650494278614265, 0.16012581155675276, 0.1420701616636204, 0.15393741033818042, 0.1468610588270941, 0.18494881581404454, 0.16072230352882932, 0.16936809215307647, 0.1388980643072819, 0.13602155933557936, 0.13589151362524032, 0.13716519760281431, 0.13393204763480648, 0.14477910709005892, 0.13539523534152131, 0.12941313634914686, 0.11893453561166323, 0.13742877520629015, 0.13153789056656828, 0.13825916271616923, 0.1356305283439344, 0.15832426149970724, 0.14822553500718916, 0.15247731719648594, 0.13008371336372682, 0.16150573223084796, 0.15046319291544274, 0.15044162961143936, 0.16022872642701147, 0.1497767039609289, 0.15722853854240915, 0.15897571278835076, 0.1511012490257636, 0.2022050757279581, 0.5421545632958968, 0.5299047189278061, 0.5342627807620249, 0.482307897301097, 0.5457251947748134, 0.4942010913096365, 0.46560628639106116, 0.6012519401594209, 0.5806322852101768, 0.5119666778494781, 0.412361735635432, 0.5327909288367365, 0.5266963818797585, 0.5569222225328979, 0.514815511361334, 0.4838971237834726, 0.4935443402578269, 0.5446917224780765, 0.57716119006774, 0.534991624036735, 0.5576311175992568, 0.5691699372425063, 0.5372424679489538, 0.48899277115631234, 0.4998272353032637, 0.47867046081544706, 0.4625406074557361, 0.40236875224280966, 0.4817987573467034, 0.5051981885968766, 0.5347717304368693, 0.028723119018804644, 0.02679767506167019, 0.03264338906935238, 0.04287908261758677, 0.037046942147911266, 0.034132870758291856, 0.04823982293476692, 0.07501142462924082, 0.04486320086961526, 0.04452093188568884, 0.04635949732226974, 0.036460728536668485, 0.035138440748889055, 0.05023178547721718, 0.030720976185824145, 0.05020568107939716, 0.04304317621213305, 0.036641936546008225, 0.052960149005110035, 0.04803973928463068, 0.02640179969569012, 0.03359044724096827, 0.030465754790742205, 0.03355325486625216, 0.03859724266312736, 0.028849066598307882, 0.029021050693872064, 0.07745798571357387, 0.02563709238996903, 0.02702250333309797, 0.032171197128095574, 0.0319109557767141, 0.03655818226377605, 2.220446049250313e-16, 0.024643707254540015, 0.040505264381779815, 0.03122676429716531], [0.12956482204309372, 0.15005869605930577, 0.15922302591506998, 0.18585545876199083, 0.19799761483282918, 0.1699301179032442, 0.1426700755579079, 0.16588762270032675, 0.14799028448059115, 0.1550539011905453, 0.12306157855266375, 0.13354873885256324, 0.1213507772240845, 0.16529546370267434, 0.14670236353354338, 0.14081456445705398, 0.11121557878841981, 0.11320683145830635, 0.11384861373789557, 0.121794590630528, 0.11527551679505499, 0.12580840002490534, 0.11845449862473223, 0.1117527886857711, 0.10563402314891279, 0.12263212231688092, 0.1138211812028791, 0.11340129783937847, 0.11352251930194546, 0.13263921650682398, 0.12496027553950573, 0.12588781998691245, 0.10696324241765942, 0.13365923462473228, 0.13002152504657616, 0.12353063589565505, 0.13159689995417967, 0.122135942096394, 0.1324931630566034, 0.14300465427201203, 0.13212226759356305, 0.18520040303900065, 0.5460838840922668, 0.5260408803661141, 0.5418034087373422, 0.48997444537866697, 0.5376159770149711, 0.49719339703741017, 0.4672910827013117, 0.5907821375345927, 0.6047212636072898, 0.5213779433106369, 0.4469203682344993, 0.5525114696639835, 0.5439995496837295, 0.580410765182288, 0.5459963833220389, 0.49266527883974087, 0.5013316718927654, 0.5616400817335158, 0.5795983212511713, 0.5362277517926521, 0.5630337927678977, 0.5712205866281943, 0.5397396284732026, 0.4707436676865683, 0.4957078317127227, 0.47908045734070137, 0.4613922682533004, 0.4285422591192951, 0.48463315774911964, 0.5106882409535621, 0.5375650676115986, 0.03100949523715968, 0.023766083268062843, 0.025892828547338764, 0.02812005182919064, 0.028780666771657137, 0.03832897327964857, 0.04688309414791336, 0.0560605702668584, 0.046989308710788213, 0.04509585433651697, 0.031173878739752636, 0.029991787272165116, 0.04117352020035625, 0.03827263351078369, 0.04108220443374189, 0.046060341679624583, 0.03526118657578259, 0.03283679798387629, 0.04603128940030543, 0.0334950274379584, 0.02443069936872788, 0.02057351567234189, 0.03541166604383372, 0.031329921707363595, 0.033903171815954924, 0.02456542332481293, 0.03572221775361861, 0.04969067176316855, 0.037104706917988395, 0.026550873608209402, 0.02461708236481719, 0.026933043413606472, 0.03259594247359898, 0.024643707254540015, 0.0, 0.03199135683155896, 0.020879327135043257], [0.1436324139160159, 0.15086747492922725, 0.1503062636901844, 0.177418239014976, 0.20013296369306366, 0.15646170533243986, 0.14259095150433254, 0.1659828435004611, 0.1533461678067597, 0.1520579191783542, 0.12272886285567597, 0.12495828519494923, 0.1224871068720591, 0.15863865636221453, 0.15500530848846727, 0.13766340243768005, 0.11877977812528917, 0.12144289219461568, 0.10976265888104086, 0.1282829967618334, 0.11446341494810963, 0.11645914672616231, 0.10948183632928143, 0.1126716136775604, 0.10454741418029512, 0.11668153589968, 0.09981100963408207, 0.1045553197637824, 0.10963292307723138, 0.1194480131326835, 0.13624657936647777, 0.125734199594719, 0.12690259223915235, 0.13426506863267695, 0.1247158593497677, 0.11992689755742492, 0.12314518026518917, 0.13022419458886914, 0.12643504084992718, 0.14541275694993017, 0.14075843722346637, 0.17290799519031796, 0.5209627467483214, 0.4994289176251827, 0.4926890206666039, 0.4630106416594342, 0.5316742848486042, 0.47254761625066877, 0.4298229904310875, 0.5380552278948472, 0.5732730087697113, 0.4772514787594011, 0.44978555716966173, 0.5756917990866401, 0.5699081705848164, 0.6107710859875758, 0.567656582398445, 0.4626122293359298, 0.45726752864204046, 0.5059698304891498, 0.5338839225707259, 0.4820131996540514, 0.5222503566014978, 0.5200709307549904, 0.48889988324829636, 0.45523757855878566, 0.468584177017348, 0.43041362996660537, 0.4253573270564398, 0.4134073461004881, 0.442471462575169, 0.47535063760596896, 0.5179796573466477, 0.055674847785205595, 0.0389989608392971, 0.04053197810576892, 0.0524423480129651, 0.048179081513154975, 0.0646941154879278, 0.05610836916217987, 0.08643543687739386, 0.07291051279338412, 0.06930627334249839, 0.0568022495813757, 0.06273950078546009, 0.06573503706418293, 0.05310273163335488, 0.05690458849273261, 0.06890163344480671, 0.0658843095847278, 0.04186018707314776, 0.07963646300661997, 0.04251542128721808, 0.0535768585808134, 0.03682308105694865, 0.04800128819121874, 0.05378256875171583, 0.0494870284388238, 0.04116816975581272, 0.0503518033290693, 0.08999038868794218, 0.035874582773263275, 0.032711164043245256, 0.04193996542603928, 0.030983471150150543, 0.02594130127261618, 0.040505264381779815, 0.03199135683155896, 0.0, 0.029286742595729165], [0.10031061351961612, 0.11494194544500136, 0.12836453164972061, 0.14847397309126353, 0.1704076273352324, 0.12933456319432912, 0.1208860037086118, 0.13589126832208342, 0.12993809676929247, 0.13406137732515777, 0.0936755531498481, 0.10193128001222318, 0.09184980056167569, 0.1295102066763142, 0.11752686234250476, 0.10569233629342756, 0.08802389300591507, 0.09147163361967381, 0.08554186107352324, 0.08962022399864689, 0.08961143904654856, 0.09882988631182155, 0.08646998488208424, 0.08093679069174564, 0.08317759308460793, 0.09637707423124697, 0.0857835896612088, 0.0871034257879233, 0.09560677841848098, 0.1171416283953075, 0.09591048401174651, 0.09340695454461945, 0.08951323736028338, 0.11208287910164028, 0.09709963699054291, 0.09056695722309549, 0.0893747651646688, 0.09680806226229788, 0.10383009931369147, 0.11124005419116256, 0.10266464938028563, 0.14171442442676274, 0.5119007090877586, 0.48395439232106297, 0.497935347560545, 0.4617805430362236, 0.511678542224896, 0.45811279255204884, 0.43373981183155563, 0.5718521290914267, 0.585495384273301, 0.49942275591297125, 0.41421043013585634, 0.5422598270593967, 0.5375094091216486, 0.5726139555082163, 0.53563081815423, 0.4687737797505417, 0.4677489545369239, 0.52476631734524, 0.5483910330279869, 0.49384557845499977, 0.5370413073313748, 0.5433620409362343, 0.5110010225734993, 0.4366017864850107, 0.45155131851516983, 0.45329264161252036, 0.4436867693684604, 0.41147060422852577, 0.43966118628247086, 0.46650103998142134, 0.5042177257685514, 0.04142136531328233, 0.024316932290207482, 0.022122149234316657, 0.025833761532876753, 0.024735599902754535, 0.04148705353662452, 0.04098238650907138, 0.049467005771973716, 0.040451749210188126, 0.04535877319218229, 0.03049231578349343, 0.04446089176888057, 0.04607638634981659, 0.027195246447700105, 0.04021631448703056, 0.05274245114010023, 0.035730782432443875, 0.03637408224770988, 0.06266617851711831, 0.025189104240227134, 0.025578722360119044, 0.03105198895253214, 0.043246749878823376, 0.036108019384389234, 0.04511537377705244, 0.024676343078941065, 0.038955147135045, 0.05949440983607068, 0.04333587865645061, 0.019643976188644885, 0.022962516188270943, 0.028167502167749547, 0.028791585025605748, 0.03122676429716531, 0.020879327135043257, 0.029286742595729165, 0.0]]}