Statistics

Problem Statement for "RandomApple"

Problem Statement

Taro likes apples very much. He has N boxes numbered from 0 to N-1. There are K different types of apples numbered from 0 to K-1. You are given three String[]s, hundred, ten and one. Concatenate j-th characters in hundred[i], ten[i] and one[i] in this order to get a string that represents the number of j-th type apples in Box i (it may have leading zero(s)). This number will be between 0 and 199, inclusive.

He decided to choose one apple from his boxes, and he does so in the following way:
  • First Step: He chooses a non-empty subset of his N boxes randomly and transfers all apples from those boxes to another box (this is a box other than the original N boxes and it is initially empty). Each non-empty subset of boxes has the same probability of being chosen.
  • Second Step: He chooses one apple from the new box randomly. Each apple in the box has the same probability of being chosen.

Return a double[] that contains exactly K elements and whose i-th element is the probability that Taro chooses an i-th type apple.

Definition

Class:
RandomApple
Method:
theProbability
Parameters:
String[], String[], String[]
Returns:
double[]
Method signature:
double[] theProbability(String[] hundred, String[] ten, String[] one)
(be sure your method is public)

Notes

  • Your return value must have an absolute or relative error less than 1e-9.

Constraints

  • N will be between 1 and 50, where N is the number of elements in hundred.
  • K will be between 1 and 50, where K is the number of characters in hundred[0].
  • ten and one will contain exactly N elements.
  • Each element in hundred, ten and one will contain exactly K characters.
  • Each character in hundred will be '0' or '1'.
  • Each character in ten and one will be a digit ('0'-'9').
  • Each box will contain at least one apple.

Examples

  1. {"00"}

    {"00"}

    {"58"}

    Returns: {0.38461538461538464, 0.6153846153846154 }

    There is only one box which contains 5 type-0 apples and 8 type-1 apples. The probability of choosing a type-0 apple is 5 / 13.

  2. {"00", "00"}

    {"00", "00"}

    {"21", "11"}

    Returns: {0.5888888888888889, 0.4111111111111111 }

    If he chooses only box 0 in the first step, the probability of choosing a type-0 apple is 2 / 3. If he chooses only box 1 in the first step, the probability of choosing a type-0 apple is 1 / 2. If he chooses both boxes in the first step, the probability of choosing a type-0 apple is 3 / 5. So the probability of choosing a type-0 apple is (2 / 3 + 1 / 2 + 3 / 5) / 3 = 53 / 90.

  3. {"0000", "0000", "0000"}

    {"2284", "0966", "9334"}

    {"1090", "3942", "4336"}

    Returns: {0.19685958571981937, 0.24397246802233483, 0.31496640865458775, 0.24420153760325805 }

  4. {"01010110", "00011000", "00001000", "10001010", "10111110"}

    {"22218214", "32244284", "68402430", "18140323", "29043145"}

    {"87688689", "36101317", "69474068", "29337374", "87255881"}

    Returns: {0.11930766223754977, 0.14033271060661345, 0.0652282589028571, 0.14448118133046356, 0.1981894622733832, 0.10743462836879789, 0.16411823601857622, 0.06090786026175882 }

  5. {"10"}

    {"00"}

    {"00"}

    Returns: {1.0, 0.0 }

    One box with 100 type-0 apples and no type-1 apples.

  6. {"01001110010101101101001111011011001101000111100011", "01011010011100001011101100000110001011001111010110", "01011011100001001100110001000011110101000110011111", "01111011101100111100101010101011111100100110001000", "11110110010101111100000001010111001110010111001100", "00100001011011000111011011010100010000111101110111", "00110000000110101010001110111111110001000111110011", "01111110101110000111110001100100111011010101001111", "11100100011110011110100111111111100111000111111100", "10010100001011000100111100110010000110010101101101", "11010100010011010101100111101100011100001110111010", "10000111110011100000001101100010111101111100101000", "11110001111110111100001000100111110101011011001011", "00000000000111100100010100010100101110010010011010", "01001110100001010110101101111110111100001001100101", "00100010100100011111011100111001011110100010100100", "10101001010111111101011100110111000100010101010101", "00011100101011000100101100001111101010011010001001", "11011001101010010010011000011000011001101011000100", "01111111011011001001001011110100011010000000011110", "01000110010000010000110011001011010000111111010001", "01010000110111010010101111100100101101100001011010", "00000110001001011100010000101001101001100010000111", "10010110001110010000000111100110001011100011110101", "11100010001001110011101101101101111101110000011010", "10111111100100011001011000011010000011100110111001", "00110001100110110011101011110010010010110111101110", "11111001000011100110101001101000000010110100001000", "11101100110110100010011001011111001111000011000001", "11010000100001011001100111010000001100111111011001", "11110111010001101110101100110000101011111001001010", "11001010110001101000000001011010011101010111111110", "11011101001100111111100101011110001100001001001011", "10001100001101111011111001100110101110110111001010", "10111000110110111001011110000000101101110101001011", "10011111110110001001110010111000011001100000001110", "11000100011110110111110111110111011110100111011010", "01111001011001001111000100010101110101100001101110", "01101101100010111110110011111110111001011000001011", "01011010110001001000010110010100101011000101111000", "11111100000000100011101000011011111111111111001001", "10000010100011011111000000100011011110100010111100", "01011011110101111110111011100010111101010100000001", "10110110011100111011111111001011110111100110111100", "10111111001111110110011011000001010111110001111110", "11111001000101110111010111000011000100111101001101", "01001011001010101111111100000101010001111010010100", "01000001100010110111101100100111011010111110111011", "11101010000111111100001111010111111111110101000000", "01000010001101001111100001010110111011100000000000"}

    {"96140303596097324281654930898573650209297565759779", "82835942022719719208994032454542477804392321165667", "88898972771455461673685612781545840704595317760768", "57862808159407849727550322312496107842482286847582", "45792790744550343046201297704496310585021702326805", "99949727311948864619667196878052611770964131475457", "12084694869828956023506419926730423238236100266430", "49310961212612003270416029346229709184016781497575", "20453464443183676998624255457380400603712967765414", "56403325457946651692593665759279744837031045481297", "53732389618297610132897437273292899973604709918119", "98166805508018427362364904013144392853963307486340", "15472237226037333841157085917040883148174765003323", "97553298079071965618491691482431945317368732541281", "71158591462386522546594149963870885507829877921576", "20528534942113135438647851551609297128737883933633", "48098963180055041925901628193671220985865399837446", "59971597564105174710857023400497103490897895553487", "83217876511969439814517748215642920047868950582435", "65148719142580225510596887244204153096316222874921", "49801093804589553687180947160898781999665019140836", "05300410793520745594105757830487794607648313370799", "67462269088065059845262416747588978920950625331746", "32044434001917108289359847956875956668183638462883", "10085247706932700492945241126530517629311000798073", "60384038688186978529814146204431318066594685917734", "46591978253764942921160520255242695819951946802758", "08639589263709229130995128793876856135754354445605", "38174868056298851177063192410171034652841401960393", "71357496357113309199355119626353114445803783133276", "90338220991231865280916256001104579528540287746928", "47509882053929025824464027082936729676876060991041", "76348725079962920285698692631056450041242586329149", "47864330091281709567337882160300833325897025912735", "08099991626534705904860009763367523070595054698555", "84398422463166291501334471646716576325332238196116", "29686246941542758750775155834496900236476150694682", "56684024230256353582128189249404296697084892091649", "32559158753048890570017749889380180798936131640791", "50192612282168766071473170392007718984334345677081", "54485772756994990359292925563822063694553626264754", "53230797634443853644896742948914127711996508135007", "32852950057507600213666117775095622017391147252348", "87591607364678124867922730438709693389635783012300", "68711516569679619162773561239701608568573168750876", "45504138429626733214229134589881673176710217424918", "70977507076415262510747904236832090189274524556217", "20657389554133864873380413920592821665574814615036", "93969704157853686958881729813505245965420308510733", "12276142233184388624281648194755092602823157177390"}

    {"23622839876748005310431599655125849465784760864501", "49519104371941474482094884269772160492457035728442", "29097174146798297289108496319158181312558166044166", "82656278212089933193789134952863866479877657753037", "39281336942244672034112260547128204667355751317127", "92965032681292301844466850468354789387015498324210", "81416388917126128133787182910560836333420526095960", "36930164072907893001840358939353490213825236501297", "16178420492583397636728601618298854639846546280403", "20659218245209995959790145239130782983797834929291", "57097407374446796209174329025578147812493596552075", "15017525827372298440789424769181168897017618635679", "35927044836036625552586391721157308020730648135702", "57138003803823602078348303159468235307519691529439", "76538679270838953535277193433759445979405178196115", "85924841151733055175855951773827228766673937410527", "17266912062141912317558115315878112619740425206622", "16351384036604926246280811552136554501126491482570", "43360883764284470475761517118579880668931036622013", "32128906955817636271122124458532314838983233342193", "37844639351136651683746252416896115782551608794224", "13227835216976734707288734773701700360538011731721", "20343740539268041294068759230985317377826396973750", "96076426871798812499345602984890278954466381485219", "00896124096271519237832824758250072706476904162617", "82270155648571808364967434848424751469362248700687", "67629397020001978462151910091976157572209206411383", "58778470607470993073059749724815103775541753216607", "55104394056409546712015563089765791165457600615636", "45485970672536598714570937703138778276623214022616", "50701964979903350349341458094488022504823456228496", "52783398252259757352646646510275375200976653364622", "67568702248674342323461805588872898020360341587775", "06151589997795006507707646732164181355248097619749", "32284249249959389301933709753781240294868939705429", "86399793611757352573131614323676352842152830700702", "84482137575424745730026376852335522211332590369093", "58906188748331954980941482494433961026437613296458", "97668179466058303759557032655237791434270020483937", "90231053510625778191540928988853182996509196809525", "37202094819360936024794613512798886156036154195409", "97927322099377581000948494170826041751265949205521", "41067177046786423000382150384676813214103163089127", "65760020408038009268308980786405059725787804698805", "02829562747454709812534765592092844393813238158252", "13160825861245905944990484584182448605990657869209", "75701188817468441748202893722043082268528400159144", "62623424070898604634396230635327723869637626753100", "95991314496684073855084874578842555601123749931695", "79949206867307423251618018066564697168294897428752"}

    Returns: {0.020837019041923553, 0.022388887983509177, 0.01866564895996851, 0.022292956098833493, 0.020605143103730426, 0.019796530444771473, 0.019988676501940146, 0.018417695656082672, 0.016679876865287845, 0.018585199810910204, 0.017764682148340556, 0.019396156267642847, 0.020129912723115394, 0.02195788779008371, 0.021399262291768854, 0.01977349967273058, 0.02082382708868285, 0.021611478696602106, 0.02048228464639894, 0.018471360027024937, 0.020856362904721867, 0.020031825499311116, 0.02104149251345742, 0.01951625437510054, 0.017289793028203777, 0.021674466591013835, 0.0203332044849254, 0.020062574711164887, 0.017489894915936395, 0.02003996125088495, 0.022229919298642632, 0.017848932377142745, 0.01964110677434484, 0.020916795372728822, 0.021792223552171894, 0.02168093263779022, 0.019352318068077797, 0.02256102207824421, 0.022183869673748767, 0.020797400942161155, 0.015226501657584154, 0.020131795383969132, 0.01955058260012605, 0.021466936500862066, 0.017724835977977874, 0.019179621572362707, 0.021793588243666246, 0.0187864944800802, 0.019387424706253542, 0.019343882007998622 }

  7. {"11011110110111101101110110010000111110111000011110", "00100100010111001011111111110010100010110000111110", "11110011000011010011110100110101101000000011011001", "10011111010001001011001000010111110110110101101111", "10111011011011111001101000101000111110001111001001", "10000111000011110000000001100011111111001110010000", "01101111111010000010100000010101001000100111001010", "10100010010101100100000100010011110000001100111111", "10010010101000000001100101111000001000000111111101", "10110111011000100111101000111111001010001101010010", "11110100001001110100110011111000010000010111110111", "11000110000110101001110000000000100110110101001111", "11111001000101111111101100001101000010111100011111", "01011001111110110101000010100101000010001111010010", "10000011101011101110010011001101110001110000010001", "01001010101111100101000101010101000100010110111100", "00010110011001001000000100100001111100001000100100", "11011110111010110101101101101110100011001110001000", "11000101000101011000111001101011010101001011111000", "11010010011110001101111011101001000101000001110110", "00011111110010001001101011011101001111011100101101", "01110111101001010110010100011001000001110011101100", "11111011100100000010101101101101111000011110010001", "11000101000000111010011111011111010101000100101010", "01000010010011011001111101010100001010110110000000", "11111000001000101100101111100110110000001101001001", "11010010000011001110101010001011000100001011011011", "11111011111111101111011101111110011110110101111000", "00101110001100101111001011010001011101001000110111", "01101101110001011000010100001010010001000100111100", "11110101101001100111100011111000000001100010111101", "11011101000001101101010111101010001111000110001000", "00100101100110001111110011001110000000000000110100", "10010111000011010111111000000111011001111000100001", "00000101010101101011010110110111011000110011000111", "01101011011101011101000000110000100110100010011101", "00110011111111100111100100000110010111000101001011", "10111110010111110110001000111010000101101101010100", "10010100111111011111010011010101100001011100101111", "01011010000011000101110101010110110101000100111011", "00100000000001001000010011001000011100101101110001", "00111010100110010101111001001111001101101101100001", "01000111000100101111000010110001000110110000100000", "01001011101001101111110010010100101100100011100011", "00011010010100000110101000110001110001110101001000", "11101001100110000000111010001011111000010101000100", "01101011100000111110010110111001110110111010010010", "00001101111000100011011100111000111001101001110010", "10011011111011000000001101100000110110010110110000", "01110010101000111100000011001111110001011000111101"}

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    Returns: {0.02095943644745457, 0.021884469064664392, 0.019136250444413826, 0.019797260221161146, 0.020743386415886873, 0.02057612122213531, 0.02373458614629748, 0.022387116627716, 0.01866817586733553, 0.01884133739978823, 0.019595464084685, 0.018301567148659475, 0.019737241866385338, 0.021367837913208315, 0.022447403667182838, 0.017139686594488255, 0.02106904570294306, 0.02274766636546441, 0.020231565516852876, 0.021812467046494182, 0.02078910757634987, 0.0207237472164198, 0.019106245693461966, 0.020148150172553694, 0.018854086585388504, 0.019564730874228307, 0.020703503376079426, 0.021427752270380258, 0.019837051867763834, 0.0200862693780748, 0.019703664984938658, 0.021119397506768115, 0.018305357582209143, 0.021024007439073192, 0.018207416820396973, 0.019244831352516846, 0.01735999091075352, 0.01858368366262646, 0.01849972872788437, 0.017195069774600995, 0.018442477152181832, 0.022766471738005587, 0.017181038030611398, 0.019559824955843835, 0.0208122831889947, 0.021070181955022457, 0.021071881840456004, 0.01862664931471972, 0.018656967469776273, 0.02015034481870268 }

  8. {"10110001011001101110000111001011111100010000100000", "11001000000100110001010111110010100111110010100000", "01000001110011100111100001010010011111000011110101", "01001010111110111111011111110110110101111100010001", "00010110011000110111011010001010011001010010011001", "10111001010000010010111110100010100100011000000101", "01011111100100010100101110100000010000100110010101", "01011101011011111101010101101101101100100000010111", "01111011110000110011000100000000011000001001110010", "10110000101101100010011011000011100011011101010000", "00011011011100110111001001100110011101010010101011", "10010100111101110111110110100111010011010100110000", "00101010101010010010001000101111000100001000011100", "01001000001100111010000100111000100001001111110010", "11110001001100100111001101010000101000001001000001", "01010001101111001110011011111000011011010110010111", "11000011111111101110010110101000000001010101110011", "01110000110011101011000110001011110101011111110000", "01001100000100110100110100111100101000011010001101", "11100000000111110100101011010010011110001001011100", "01000000010101011010010011010001111111110111100011", "01011111100001011100000111110010001011101000011101", "00101010001100011111001010001101100001001010011110", "00110000000101100010001101111100000000101000111001", "00000110101001101001101101110000110001011010001001", "01000110100010100010010101000000111111010000111100", "01000101111101110111101010001000001010000111011000", "10000100111001011010100011110001101011011011101100", "00001100001011110001100000000110011100001000010010", "01010011010001100100100110000010100011100100010111", "11101000111100000110001010100010010010101001110100", "10101000101101100100110110000101001110011100010101", "00101010001110100001111010111100111000101100000110", "10011111000010101001011000001100100111001111001011", "10011010000001011100010100110111011001110101110011", "01001101010111001001111110101100011100111010011010", "11110110100011100101111000100101001000011100110001", "00111110000001010100011011110110010010100000000010", "11000100000001000111111100100111110101111110010110", "11100100010000010010101111110111001001010100001010", "11000100100000111001100001010101110100011011101000", "10101101001000110101010011001011001010101100001100", "10000101001010011100000110111101110101101010001101", "11110111100111011100100110110111000001001111101000", "10011100110011101111001111001110110010011011000011", "11110111100000010000111011111001111001110011101001", "11100001010000111011111010101010100110100101110001", "01111101010001010100001011111000100111101110011100", "11110101111001000000010111000000011101110111000011", "10111100100101010000001001100001001011110001101110"}

    {"02127599029131411481419386825722591736283400613901", "42010518816469245292056978959145742303824593972668", "43971958541948866501580477769267738177656103801731", "77010607718535628297053597855992420200101178687228", "16419861071247532300051872975848473895537633662148", "97585050814394800289980507480868376751944470688995", "38987701442491370430734448728146129940092953911291", "43094568807337337685021179137910235089402935272760", "60331823438851512406652360460514800339831754077309", "43850575477693798030255878170656137588264759742244", "32581775175836191259974158640959139729295959200564", "68537031818357389153621620601107933355887034747985", "01710480578171545468548738512869151937231563124230", "94563692267677207314237758858055818903097089645070", "24143854579750679936708334351816625575164845962780", "51292414233554176091486201032759805803312768531562", "02605766216845448023538668485606684101300523350741", "15729926002304479598286968348593979341789242832902", "95956800265582102720475110552679827660669008201907", "67187055598443544337502560081017045705884053720466", "08037617477883076253132126449077710467036619524279", "42466365973714245748056003541237476793376352463395", "96415115054768558401392597094546725580314250776551", "39663606715688856013080213627581801732877082751172", "68344369501978085001796955160311574806812281397082", "71064444702245683287058939954758962303325569572681", "36816228007275169788242844950390654380620703457638", "84841459233225528061387838877291265306724076891584", "23397954633284842655505077251512867171634986994799", "85310375401470664274125316527674112601615890724752", "32752405575263880128685147076887996060635190566649", "01682972929824856243227412339554085129943869530821", "58232883156301414119442180295747194909288126069943", "97707396276737856091073879099130423573983991799366", "81776938216359760565719844875391187195772241118645", "25513724018812098462024464434612593824929182277364", "24563237998718702949894733221941452585156381373049", "56777018871770696186590472544608245854845417449618", "13836093672223162575750010077854294739950964945001", "96931889771948037384660630911044009689079756775360", "49141248389755409839097767081653599724322482929898", "62284954426724796119856979256797097972602285664008", "87313710291202797575617927796562653733644302558446", "77839716980705706454962375438360511983094952430676", "02932022505767781041502294693618445284710879171505", "79967621555268040023340776239265368707518662588442", "97771284538493629913513470473185909379758726223093", "75358416049994640322186893856277651458111019934663", "15809620392145250215364880661506424909436089022584", "47947851221008660957358653507853841530035749871241"}

    {"22120773818639731810407396308741335919387666868749", "68772832327059843139557198873878984364222622551097", "06143785782382488672714245407205289970046472463630", "18924362932166126572113264168927502120388778887342", "24031908732343199637503751581091759575567002948106", "45603574872783277526519198973375477713032612735554", "46971390329187861733639807136299520939143171254429", "69246038888589832997849178622332793472441003800888", "44058347698575204807809438700957711045029060005416", "64842878737457172812750673012020685804368641394254", "28533056014432573708473306582953980167155717151713", "12973245686726595437752399809122057699352472571740", "60135567812906749588418819079815215971308388290213", "42708955378046373096629915667000721323579865740094", "94697474299511193503322673705240918172479374585125", "09378079814567113033059522225237068788509044653907", "57525793548139505530836483590292617369262562826021", "51217133807857021058905792375061784644592396750871", "43042316314749217628506979333696837626180486211658", "91875411760679037203968071688814669130639606182903", "18976445884189363651872024695929843065213757541975", "38056856374707076997472228233207564042660527433369", "02330719572501819802797759381836996971272417608542", "82561470840539484269152270009227757197875633062527", "58778913234891963063910468580105261271140626826000", "06633314071665214945576301932050970874448306173135", "15041930838503709759201227733485973199318424465946", "88655020908593484116665225247126230516411740160277", "17354047073749162488435412230281466380765031104448", "75775210188937474699948152293473581640655999430386", "92709339205967962949094644546945775936161947159572", "90072797486117942016586395764858535116526582526590", "89441343465339492824969374722929105178202282784048", "11793344982745641314926452441152735384726221901933", "69964890122710173386927378484731278566333063960038", "02947744091104456865079909771130762551246449073100", "15718955093888197386017875974438799035249403124941", "52805960602384935012887467904115575185812144042518", "29866502359324447743896975350167734980642369304970", "68835532867947094049241055021862350495456551987215", "51577597225487243694151414982311825607209009616663", "97243868962054885711753001481521921808890182732544", "32994109419402791482011445155581246580070979438896", "22689675284956442365077562329643450545920617136886", "09253184845788712445294125460343803086152580259723", "52020925464782274001251544484487583925633336388743", "10075703723633752021547898462807340481303584192662", "12843355477373525486890613746073143306565120427833", "39642593676863564871606762326542349252168042910981", "67532109491862093370120225444375304385216105901693"}

    Returns: {0.020266941279668726, 0.022273811643187036, 0.02039132480357766, 0.019824188099165054, 0.019111822010478903, 0.02178369363755273, 0.01693814479494775, 0.01924580593678897, 0.019300305417821753, 0.018268806804616417, 0.020358470289342692, 0.01993079452387617, 0.017293780296322246, 0.021830874651082282, 0.02214518031974578, 0.02295260962395653, 0.01844249548314262, 0.019105754929772855, 0.020461346990517586, 0.01926259441102731, 0.017317840557864284, 0.02029524001370808, 0.020403514737889726, 0.021859226338073967, 0.023870421436064184, 0.02087802302394202, 0.022172650738277806, 0.02000952878067401, 0.01818408017130459, 0.019576915706196872, 0.019951450379510408, 0.01863875400215843, 0.02067688554319397, 0.020595283642331996, 0.02070976361074203, 0.020433844798583768, 0.017992699158714917, 0.021239461581449622, 0.01872937735430842, 0.020280368258097644, 0.021400841333797695, 0.01913100545218319, 0.020792364412148077, 0.018385809726236674, 0.019969585167957722, 0.022294153404389994, 0.017670463700180866, 0.01889068378245538, 0.019051809150688225, 0.019409208090282022 }

  9. {"11110110100010010101100000010011101000000000101000", "00101010010110010110010000011110001000111011100111", "00100000010101011100010110111000011011110110110101", "01001011001000000100101001100001000100001100011110", "00011000011001010010010101011101000000110010001110", "11110010101101010111001110001101111101101000110001", "11000000101101000111001000101010101011110101110001", "01011001100000001010110010000000000010000010001010", "11101100001111110010110110010001001001101111011111", "10100101101100100010000000011110001010111001110000", "01010010010101111100100010001111111011111110110011", "01110100100010101100101110110100001110000000000001", "10110001111001100010110101110111111011010010000110", "10011101011001111111000001111100110001000010000001", "11011101101111100001100011111001000010010101100110", "11111001110000111000001101011011100110000001111110", "10111001100010100111011000011110001101001110010010", "01010110010010000010100100100111101001111111000100", "10000110010101001110110000110111101010101111101001", "10010011101110100001010001100101001011101111110001", "01000001000010100111111100111001010110010101000110", "10110100111000111111001110111000001010000010000101", "01010000010011001100011100010110111001011111010000", "00111110011010010110101101000110011110100001001111", "00100001100011001000010011001010110001111010010010", "01001100101000100001000100101011010000011000100100", "11011101100000011110100110110010110010100110111000", "10011001000111111001000001000100011110101011001111", "10100010011101101111110000110101011100001110100011", "01001001101110111101001100100000110100010000001000", "11111100100101111111111111100111010011000000001001", "11011101011001010111101111101011100010111000110111", "01111000000011110111011001111110000111100110101001", "11010011101001001110010101011000000101001010111111", "11000101001111010010001101110010010000111001000000", "01011010111000110100101011011000100111011001011111", "10110111010101010010100000111010000001001111011100", "01001100100111100010110101000011011101111101101110", "00011011101011101100101010001001011011000111110110", "00000110001000110000111001101011011000010111000101", "01001101011000000010111001011000111110111001000010", "11100100000100000111100110110110100011111000011110", "10100101100100001010110100000010110001000100111100", "10110011011011000101000100011000110011001010000111", "11000000111111110011011111001010101100110001101100", "01000011101100111101010000000011100001101001011111", "11100010101010111011000111011111011001010000000100", "10111101000110001001110010111100110101001110101000", "11101111010010111000101110011000111010110101010010", "01000100011001111101010001100110000101111000010000"}

    {"52819084141320720178869981663504249376839075226709", "71008289538114918538484685399660845653250442937395", "59678480918316119901110441275938145316296553811596", "97196455648438247545793237695757126259426743598727", "18442231272372873589429987851572603423812957020837", "55569639023105737750743819199681087525685959774178", "76644878265113036554935273415310421052432224946412", "33340016840579854007482546493637684646636075550219", "40506862195499223230822519054668463856780282131767", "29414945871432599045311735042969665391313244260054", "39681027915677650878661576337321915570744822182545", "03006188961751338572151177063545629509231936313071", "96901395304034417811629545201549561160114044946662", "64551412763789155051367074424395677146913950539557", "33047829217316440376466369265924374437200202890955", "89977290302726778970199440476680738253751312620754", "27966651823710539959229768673193459434501033547981", "76486369521274238183685541111432307608647959487930", "56112999719724253756987469069546079562141668899141", "30586489605554010506508904485941498748282101379587", "10792167885861974220922270568672243049174236785404", "22386389774362599482621821419888614309640539206554", "86352296911992293549694115493840438162008570363398", "53496303307669751229377333490972695851048393569318", "86597059447810705477146383627588947365978872898091", "28317418647667781195069090108719268039546425744830", "36511080087270830367211043636729703933098849234419", "48766561370609635878931541479592589888542430057938", "58790172517599612440558174721004240888136168807470", "49143011770680662565613597064121804916159158185548", "55955527898917363737537702248022283261879194905555", "11625839980542654359725854602458901719421446285274", "36172172815723290736232467959359256276198251632815", "00072329340027936510385999364955834976720282930809", "33313826437536829664685361148271350778478257665249", "92707504698354753990373456964778536203491406593272", "96856089382243856671577670085834326486950449111325", "41178954109657462735063331077997266576233928675074", "92669023379143843379190001304859104314378372241640", "77983079721944824491544177344023244961870137270077", "52510610162856043170286749183143031495784489532353", "39218408540890626217859176610162566151575071983526", "92274382045477453451098732751532328943627077234121", "27528783384388322324925163983002650926981821865560", "53360486808055088292464804720693880673347800996995", "35464961681781547051780315612114770713408326764834", "87974567243756240550718837168073398215362038436695", "08396783053940982000137440483770990300838582554666", "11520813317690852862754993924721938923760824548045", "42197848986664762790268139447438634998523837180865"}

    {"25753866338581585623436713030602213301394040476064", "90655113495813123974311822232933028376582426744030", "74870565955418089978922736586493066276086424473866", "46546410232047100194916416163881962797187763119077", "73083785364957749770111616646915543460438349913770", "84797256142484994050118938151648955720155537026426", "88875582068078263130728553936448209036075279002545", "37983306909369628422134593779599880614693816406219", "38774957938340733403754697997387010592144220110800", "01916066206683676306270185037390252918683492364792", "24642249764552909371740070448910034279786275324748", "40515872379099108710077019954859733432883440825157", "14594576328267224306304369076816566801707342940063", "70268992845105484170909658618258071176381154177142", "93242958519628664600350098871624596976109319284901", "30240205390544499691451181870037504342159724207073", "57880347223629255104970574822113068903709927736401", "20790863465320910933020898275302462795949348433423", "91892493918988563285395059030519681804708616331462", "93408802376407844474819117940682137113599310866432", "22559251617798343394965448418699503811045834471945", "71895169122292511670950079918687870275792455219950", "41290346974956462138446129283970061497103019627889", "96493708180256294664232989229486314389097277466034", "27072538583626364918243566622680637471894711028660", "94719369654191141006013908799894163897859964732427", "19481812775901826205944243539430400267479354171985", "50405259867576900760125553017012788230679956476043", "38938951466934842713917325625084621123551462453399", "70486132421405696264064675882048351785786171684124", "05473105450688085430691760557723061801602151158880", "78504827223136552570967379624771618772979697893261", "49655202059898173774403702096556238925559056091792", "76926025384242236525613922394234023100494085735208", "55636411342829209016545695603726884849333754614745", "73698670050941861287305296620585246000614259928722", "44959782975738856225730905608500571205237767505988", "53803961287875761089240768382685773565357058633516", "37423519604775812285440539237954392462105821899154", "25837377867942599939801310216923625531281542905920", "23866090084361172102336068112875663631970773379022", "27354481752573545646749736200819893061149692981134", "16446417796675716844121930903042558956762530234144", "81816279400144214642865964287723273532066236166920", "05925895466201093857705696564211840467284009118517", "25988454841218120950786455827694764152581541402645", "89402278004951182624705776663171513161624946142102", "07014121574389991492302707942277415434988016189352", "50188398989192002170562354566958430618744513396329", "86034207409721841162988788084702269198570472068735"}

    Returns: {0.021351551227345295, 0.022565110685316754, 0.019423894066093746, 0.02166288945135301, 0.0194852520754243, 0.018719123587596653, 0.01871013481386117, 0.021424449399424207, 0.020771164835490626, 0.01797132395732233, 0.020498915813798625, 0.019698306602803313, 0.019654885174681547, 0.019741469489041912, 0.022008639266968114, 0.020296972305152226, 0.018605760994935352, 0.021083555858512047, 0.0225942663718768, 0.018061244504685398, 0.020729040963968624, 0.020304290455307707, 0.019001810064397696, 0.020433358107145513, 0.018323311822725247, 0.0188326357517688, 0.018726468669624366, 0.02242347331269623, 0.021541987612802616, 0.020016275893560434, 0.02167914965526902, 0.018262185475800736, 0.019344947850951987, 0.0199136120643998, 0.020974522604823284, 0.017777328584611122, 0.01972748304905447, 0.02101111794503435, 0.020137326860244057, 0.02024257867423549, 0.02022490876583605, 0.017942264740695917, 0.019738504009591908, 0.01938228140619685, 0.01962085716879055, 0.0201695864883748, 0.018398932981345557, 0.021136899817571234, 0.020434760616601665, 0.019219188104889214 }

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    {"38760380579127123819059191096452183969862345576014", "44374583545279800313558659908760370498397662842996", "75086668373030490677792037936114404801101654284483", "44210368684637994876471140488075404474265292938837", "06553321528922751829577415309289233882128489264901", "35397058237675709041331352777289818423719200412130", "19004881382674183881038812948785637278327571247997", "50386038420907048760543981124773475974438979993688", "53902982971205854440581755496369122866257184089321", "13322524944329652507580980957780767012881210103265", "28717231706294724757899459461842567900473367514671", "05468453188123405477226563658694589946030700443609", "16651530662673296251796277142521340376745373258874", "58184686962732020582717955016772602240482751148207", "06830097338593391885361373893319257731169273849402", "27854187563826324005623885012608793236214538503321", "99511283647524506995567625434273044151309190551985", "32440226692403100320270323428329053548297112591711", "17556642336652863622933201546719910654729130904836", "53885680480949206923624919387939473337377898751635", "68813340279818406886415830902999763182558943279931", "56787959310460013958345442486602920270187633308349", "84576671701069331159167647015549107062400105489485", "66330004274626071868310352784980650196337725236464", "91645297895418214008227181761836861171499380736576", "10554950953990392595803553724434446066587853944611", "17061595932714088266597769703239365580435023536805", "89133282670807248786767591525470512509211607620408", "79581989688074133841509837977952187480985304004366", "44424866245158655399109354494948769148902395819270", "25878677775522994393374477605316967360466048356642", "92786748105969214326173500243540618834595417614449", "69641553795742913989525949372040127547898947822302", "45944803839922505095662416409025830679117963490618", "72475314905955803960696346135960370338609025384527", "49589230722992478880549037963172321276572133899785", "07698006887624661890652458156595131831383021799532", "64500702714184305430906364457827202486864357268103", "65403240279668308731974095470642766813533739914938", "33403869666156038202116553065847567245696899701523", "31003355062693750160658631609692602332364962238464", "19989386203411617724412634657191939951624455161232", "13464511364585395665805931319910930877060288313510", "31022386571129947592727045857629846041924226544833", "25707645833993593434091914834130589536796957343336", "34253283851214582280094803018959824565602858447656", "45205738683413597451519933890625031435026704211673", "37504442409101621724485741387441225692607942980857", "78932634088969008840955023902406861493631299135131", "58721316178159940123397171363746629927038578981843"}

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    Returns: {0.01571537797167092, 0.022550662349724443, 0.022367494904724276, 0.019999675660944995, 0.018087577933220866, 0.019626108732794963, 0.021983583721120026, 0.018528756680953048, 0.02095209697125293, 0.020358417484603788, 0.017314470815614772, 0.020768508557898177, 0.01794110624338662, 0.020399734592320713, 0.018582138348931323, 0.019619448111309782, 0.016128723504068895, 0.02165113472963051, 0.02334820133742496, 0.01903745141224511, 0.020588060493598456, 0.017242307542658236, 0.0209621088255837, 0.020400339542341807, 0.017941894407263594, 0.02038222813765749, 0.02031088047648893, 0.019144553722568496, 0.025233400393972375, 0.02124347032401535, 0.020394564257821924, 0.019723111910762658, 0.021531872326634775, 0.01773599120168793, 0.0170064614296014, 0.02051578777000699, 0.020928552941326888, 0.019931054838324944, 0.01890413351648237, 0.022288133451244873, 0.0205678308406226, 0.01963523799084119, 0.020404548722274877, 0.01864373532252997, 0.02099817347079698, 0.020874673647857177, 0.020936349750442333, 0.02251989984353588, 0.01880537213177098, 0.01924460070544643 }

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    {"18851817973365607409953695777047396386155192284012", "47948256414903202072805818502902643557382703128516", "18777746877261986976570639279583282973810274704592", "66682040626678830510393338540658972458098394184566", "80268088323118285103911771701984184076251171556933", "56432837322685341381746321374232242731845943544893", "22069419525955726897859817379122124345788720626524", "29994424394720250046431124872406150263914858020246", "97091858205105570956831207311693958061770961997803", "62504335302284835268291724138026266498373434992046", "33244640887013236396803159876428546142943753848895", "29543497185599571140553290296174839572741461649583", "95442925238878357072651421658270707331852484953947", "02748519529719773140816851191796492894287050510778", "84136185453272973335011365639527246671037421540888", "32148839519456302711615476414238723548325437691164", "97873547198327204134584649632328658031804864023690", "92218434628957933996866655669342835521453484047015", "79161081950506161164188296028634320385721050035754", "71874540991435919175660183290891407211266955298303", "92685558677941855503215940361624601649535242527344", "15003426920167754684738048890466455204595485181253", "71706851659315282157825377372943732839195664537841", "46684841584255697575193846773497220779547165389441", "59503695980624987131130124602160034582108258924737", "40495317612475205529445403282179992682111564228460", "97131833848292533627970446770715889882527150239689", "43618412485232953013414813876498653293037672594930", "81904659221225558156021814345777524824048663018686", "71768709718321170374970777277008949394065352599104", "28955057099092399671067556260782494996160483778212", "71040961858877937024074362747194752336166028388897", "65344753241614218515657292750278472488736990045985", "48394992174457821752150997866225823904245555667964", "20947139827541014042441767581264165171905214644478", "19168461505829968701227241839108170068792234214572", "87671366961926710723062510391325823729454426131709", "07115358656807459353307645585179514281722232807861", "61568029740007420580845599594372642922791776789501", "48721441438692101231777375013699113175362775235040", "06191968463195110578834647473354472500847904728902", "94691986338709671810731298609149003103360155990927", "51127761269888389435025324386009214306880847115982", "04333710958522848022476678257103063450465129442910", "30407914663173917172434441012500799603278287346601", "34941941689988461404580022826148163769382014365124", "19331768071783142177770677950718410375035755557657", "17934870487436369438082993358390218635700577243131", "29963485842238621318148462415994612793728004709945", "32962768922889386239181747678431696549801988897749"}

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    Returns: {0.017979323560052784, 0.019614197294629494, 0.021289038775597225, 0.021702589457128593, 0.019863304987525247, 0.020483188844937158, 0.021825030586929754, 0.018638332717901003, 0.020930575198792184, 0.02022137072206198, 0.019505272536077, 0.019567458402202788, 0.020302352131014334, 0.019671239434018977, 0.02089988710555688, 0.020200936532898228, 0.01760409136839621, 0.018781461375575948, 0.018961113092464125, 0.01856186868447103, 0.021264178358072434, 0.01838450270146612, 0.01882871473550927, 0.021627243070550806, 0.01892077294778793, 0.019733413164316267, 0.02129542011981317, 0.02152967918661678, 0.01854973562788332, 0.017929421410139482, 0.019854982151068908, 0.02139716642844529, 0.020778520450037377, 0.019220955806406596, 0.0179461654947823, 0.019403256138852215, 0.020672886246026777, 0.021231339524086474, 0.018854713255307007, 0.022900039445927053, 0.01914044995132381, 0.02001708388860017, 0.022911543473426943, 0.015374158508147584, 0.02033043805337226, 0.02133460561420705, 0.023237663141375254, 0.019125657206946325, 0.02132851952548486, 0.020274141565788443 }

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    Returns: {0.020837718331045366, 0.019422622177790436, 0.020881316654017205, 0.022228705351931177, 0.02179135483715185, 0.019760160077173884, 0.0180792799084021, 0.018000799949268904, 0.01891398922214598, 0.020309150387042032, 0.018544254251367458, 0.020444704063562164, 0.024072143074559186, 0.02324675721238197, 0.019992854682707274, 0.024309089542011872, 0.0174526204832173, 0.019235465576332253, 0.020705005356505674, 0.017313038909454456, 0.01736073245230712, 0.0187640623281437, 0.018031426779112254, 0.020384932075213063, 0.019577428595153185, 0.020472644407672245, 0.023841470436633982, 0.0191545536861603, 0.020547761837781946, 0.022562805928230532, 0.020054334543195322, 0.02003848084505045, 0.01927937262170229, 0.019304404079568807, 0.02057478456583115, 0.018073587154270387, 0.01743675988624151, 0.020844516194947506, 0.02004352375455249, 0.020334577776216417, 0.021114208859053737, 0.01937063528407455, 0.01679360302144705, 0.018406805938247672, 0.020627820902476293, 0.024388920394172172, 0.017891913055424973, 0.016298395870836868, 0.023501988122734945, 0.019382518555481582 }

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    Returns: {0.020364946734587594, 0.020991175965304292, 0.020150042583161148, 0.01558322356624144, 0.021179253494408218, 0.01699941512445716, 0.019440618623134467, 0.01793514160042891, 0.021405163693471486, 0.021349908377579326, 0.01976720353817103, 0.021060312818955738, 0.01640823055943768, 0.01821791199008902, 0.02293952975390033, 0.01776862259549177, 0.020507142430100423, 0.02189837144120378, 0.01891471627832529, 0.018426068673153877, 0.021714299988293585, 0.019887843018070686, 0.019778539576532642, 0.018624707338866356, 0.02267682782563388, 0.022046847470506035, 0.020540908544782674, 0.021641042727983402, 0.023641199640992924, 0.02129643231752832, 0.020989752752685543, 0.020494174363120024, 0.017891119033133722, 0.02041888844111598, 0.02210052880440636, 0.018272425777737227, 0.01851428600327768, 0.019565820060379296, 0.01985421177198011, 0.02050851120083489, 0.02059000445715069, 0.020827277680380007, 0.017172718456349344, 0.022881553785087994, 0.019242016318334852, 0.019866291436560653, 0.01746225964031048, 0.019554630994553613, 0.019163090762280535, 0.02147478996952435 }

  14. {"10000111010101001001111101001011100100011100001010", "11010101101000111011010011100000111000011010000100", "11101100000000001001010010110100011011100011111010", "01101000110100011110011100000100011100001010011011", "10000010010111101111001110010110010011111010110111", "11100101101011010010110000111010101110001110111110", "01111010011001101011101110010101011010001011111001", "10000000001011100010000111110110000001111010011100", "00100101100001110101011101011010111110010100101101", "00000001011110011001010101001000010100111001110001", "00100111011101101101101100001010111000100000110010", "01110111000100110100011100111001111110110100111011", "11001101110000010111011010101011010011011110000011", "11011101101010010110010010000110101010011110111101", "00000100000011110100111100000010000000110110000111", "01000000000111110000100111011001110111010110010011", "10101001110111001001011100001001111010001100010000", "00111011100111001010100011100101111111110011011111", "00101111111110000001001001111001110111101101111011", "00111001111110101110100111100010111110010100011000", "00010111010111111000111001011111001111001100000010", "10000100111110111111100001001101110101101110010011", "00101100001100111110010010111110011110101100001010", "00111100000111101000111001110101010001001011010010", "10110001110110111110001101011110101011010000010010", "10011101010110111110010000010001111101001011000011", "10011101111110000111000110000100010011111001101100", "01000010111110100000101111010001100001010100001101", "10100011011101011000011010000101110000011110001100", "00010000001100000010101111001001011110101011010001", "11111000111010111110010110000100110011110000000011", "10100101111100000010100001010011100000101010110100", "01101110010111011000101000101011100010000010011000", "11011111111010100101000100001001101111111101100010", "00110110101001110111001001110011011001000010001010", "00101010011010100110001010001110111000110010111001", "10010110011011000100101000101011011100111101000110", "10000110000000000101001000000111110010001111100001", "00110101011000000011011110010100101000011101010101", "10001011101110010000010011100001001101100110010101", "01110011110111111011000010001100101000100011100101", "10111001010001000101000100010010100111111101001111", "11011010101110101100000101101000100010100011011111", "11100110101101100010010001011000100001001100010010", "01010011100111100110011010111111110111001001001111", "10111100101001100010011111100000001101110100000100", "00011110010010001000101001111010110010101001111101", "10001000010010100011111111110001001110011000011011", "01110101110000010011000010011010101001110111001001", "11001100100011010010101001100010110100110001110000"}

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    Returns: {0.02156337826358471, 0.017526203589723427, 0.019653390544590667, 0.018631920733935856, 0.02079872253939241, 0.02299031528403807, 0.018477790531792, 0.020856611402380487, 0.020206097382206977, 0.02104450300525665, 0.0197773283021686, 0.020879737261166244, 0.0222305112804786, 0.018886509002626336, 0.020944688459594695, 0.02042971213875107, 0.020945598830699214, 0.01876233692971079, 0.02141245899190575, 0.017803243866183413, 0.017269843575520548, 0.01943647316598975, 0.02132451051946423, 0.02004421790261965, 0.018845082237561084, 0.018267835914439864, 0.019057897292760938, 0.02024921877171648, 0.019698614548308308, 0.017756988428927988, 0.019382119125217853, 0.01943738561635924, 0.022450553436279514, 0.021989116304186217, 0.02005776334212521, 0.020453870936885606, 0.020169376939923347, 0.018027112832199984, 0.019591324030299527, 0.022272604811907373, 0.02078362258966002, 0.019936677667590597, 0.019953600660555394, 0.01893464385898329, 0.017113961626175123, 0.0213783735891344, 0.02123156105245921, 0.0180397033130184, 0.021443629173831524, 0.021581258395718072 }

  15. {"00110010101100010011001111100101000000011010111010", "10110101001010001111110111111101100101011110111010", "00000100000101101011101100001001001111111000111010", "11000101001110110110010000100010001111111001110011", "11000101000010010101111111110000100001100010101001", "11100001010100110101001100011001100100111010101000", "01000011101111000001000001100100101000110100100101", "10100101111010011011010110110000100110111101101111", "11110001110101010111111101011111100110000101101000", "11101111110001111010000010101000010110110001011000", "11010100100101111100000111010010010011101011110110", "01100010011111001111110011011011010110000011000001", "11010101100000001010111011110001101000101000000000", "11001000011101100110110011110101010101101101110101", "00101010111011011000001111000000101111011011010110", "01011010111110011000101000010101011011000111011001", "11010101011110111011011110000000001111001010011110", "11001011101001110111001101010101101010101110010001", "11100010110010101110101110001000000110011011100110", "01100010100100010110011001001101001111101111000001", "01101011101100001010001110010101011011010101010011", "11111100011101111000110011000011011101000011100011", "10000011111000101100111101010111001000101110011110", "11110101011101011101000010001011111010100000011010", "11010110110111101010011000110010001110011011000110", "00000000000100100101100101010100100101000000010100", "11110111010010110110100111010011111011000111001101", "11111011001001010001000111001011111001111001110101", "11100001011111101010001110100000110101011011100101", "11011101111110110111110111101010010111110010101110", "01110001110000100110011100011110110110010111001100", "10111001011110011101111001001011011011001011011101", "01001011110000111110000111001111011010111111001011", "00010101010000001110101010010100110111111000110100", "11000011001110000110011101110010110011001101101101", "10111100110000001111001101100000001111000100111000", "00100001101010111001101000010000000011001010001110", "01001001010000100110011101100101101000111110010001", "00001100011100100101000100010011100101100101011001", "10001100010110100011011011001001010111101011001110", "01110001001000100011000000000010011001101100010100", "00011101010000000100000100000111100110000111011001", "00101000101100110101110000100010100011111111000110", "00110010000100001101110001010000010000010110110001", "10110110100000011011001110001010101100110001101101", "11100000001000110010010100001001100110010110101111", "01010000111110000111001101111000100110100011111000", "11001000010001010010011011111010101010101101100110", "10101010001101001101000111001011011000000101110010", "00010111111100010010010111101100111000010010011110"}

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    Returns: {0.021963181917829307, 0.02266721501102489, 0.02271291491841934, 0.019963634563416432, 0.01649950248713337, 0.017795482438446742, 0.018971169833579667, 0.020555541663812602, 0.01983318365177882, 0.022027667682370026, 0.02081272143931885, 0.020842307074666166, 0.01790989001687394, 0.01595873011648342, 0.02061793332463524, 0.02050933132270942, 0.019477825813217022, 0.022423039023383756, 0.023291219225463105, 0.020169208849950226, 0.017557140687180485, 0.018488206861634555, 0.02211546723283823, 0.022043992472636036, 0.019310860135307414, 0.02129813220962839, 0.017500318973800503, 0.018964864881448128, 0.01946607020417191, 0.016400553745232846, 0.019695191717210667, 0.01901246372492398, 0.019331775094898432, 0.019288614390837077, 0.020433742503354252, 0.02099508992518015, 0.022799529101509626, 0.02028085517177362, 0.021847637201861937, 0.019413025196264186, 0.020691250277778673, 0.02010414353473774, 0.021798534109866034, 0.021986273918755718, 0.01936695666230879, 0.018379373865675605, 0.01951222369594389, 0.020182563509994273, 0.018066763177563727, 0.01866668544116578 }

  16. {"01010000100101010001000011101011001010001110101110", "11111000101100110001100110000111011111000111011011", "10101001000000111000010010100111011010001101100100", "11011110100101100100010100101110010111100101111011", "00100101100000110010010111001011111100000001001110", "00010000011100011110001001101111110101010111110011", "11010110001101100100110010100100101100011010100011", "00110001000010000010011010001100100010001011011011", "01111001001101100001011011101101111111111110001010", "10101000111111101010110000110001100010101011011001", "01000000001101000101100101011001000101100000101110", "10000010101001011011011011111100111000101001010001", "00110001011110111110100000000010101110010010000111", "11110101100100111011011110011110110111101111101001", "10100010100001001001010001100010101101001100000111", "10110000010000001100110111101000111111111110001101", "01101011111111010110001110010101000110110010111010", "11011001000011011111110001111001100001000111000011", "01001000011010110000100011000110101100101101101011", "01011000011001101001100010010010011011000101000101", "00000101010011110001110101111100100011100001100101", "10111110011011111101101100010011011010101011111101", "01101110010001000101001110110111101000100100100111", "01011000001101010000010001001001011001011000111010", "11010001010111101111010110110000001100100111101000", "00001010101011100101000111001110010011010111111101", "01110001001011000111111110000110010001011101111101", "00001000101010111110111001110010110001111100011110", "00111111111000110100011101111110111001011111000100", "00000111010100101111001000000101000100010010000010", "10110111000100100010010000010111111011001100001010", "11000000110010101100100011001110000011000101001001", "01010111110101110000010111101011000000011110111000", "00000010001110000100001101100011101101101100101111", "00100101000010111000000100100001110111101110000010", "01000011100110111010111101101110100010011111111100", "10001010011110101001111110011010110001110110000111", "00010010001011011000011000101001111110011010110011", "10101100111010001110100100111001100101100000001000", "10011111010111001111101101010111000000001001110111", "11011110101110000110010101110011010101110001110001", "10010000011011110011000111100011100100111101110000", "01101000001111101110011011100011000100000111100000", "00011110110011010000001011100011011100110001111000", "10100011111101010000110001000010100101110110001010", "10110001111101010000010100110010101100010100110011", "01110011000001001010010111000101001010011000010101", "01100010010100110000001111110001110100111100000011", "10101101000010001000101100010000010000110101011110", "11010000100100111111001100100111011010110010110100"}

    {"50439893622005141408821420051731874977902974235326", "28477512434127863897965435628356625622163343169722", "26651304987923751507124046260184024403351950462070", "44842709582578072208329853862343196130681344271469", "26816058825729764675610120534951919306544754850369", "07469259473564461815530203794697103823143566599548", "40722462218638094748225096636218929075456071987973", "72858225520005410397447624133790104323311306214399", "28349439192357924732809185084024956162077573664138", "45220867334394432207366944502313830184761304156306", "07547543769545083119204317052117941662150589839666", "16964147442622561653970373892269810839256596788866", "07827685539077411114879108111293795565542239063626", "72378988783598613130450393588105092371176866092037", "08777335943043816118248275218347101513426743029127", "62768395824287799863959119234575663331576286723649", "75826050871922114783063104592274807121216267502108", "75552563936421871200614565296000554401929246130296", "33257228271857055736511363125566952926953402219790", "49662985191492040304651277363345015175456525112802", "96096554887369116683977408261696568883310757012103", "97823325567898810881959045116971686505781961608703", "07751203491141786660499485220241047107256048146239", "24793578166001751823098414336731291801696731455389", "47680256654238392817245024504246370115334528643099", "21456628534891389360595360985120019074280547393493", "38744761159311810126728576561137980417354064054606", "51962062801425772089624412986122326901124308461229", "00341895434309912998623838558837779708700971449489", "34272929907510107461508336833071855995471422228109", "84748567634421259287522523689601197796876726929316", "43998487483853311170238638482553874024749612748139", "04131245376023161272841808472951988555079111417464", "39340388788940859123664194376416399495352504068787", "56175537666509434873034443454125672568272227823999", "65340542128107892941152060248687346034393787161742", "82137408357687147558448007008779649937495871137783", "84678149970071675730348360396164007015438303163486", "47348351308076900612818298972272829372527719012301", "67473531679076436577670085529213423102613456109241", "49626802999200724504023823024197013071549175057211", "72946014928336417309582740198260002009420335865444", "07764835953979534910112430981713914217178132408999", "39131620563749753883904450826062846827387514143068", "76376000220832238247036436709605630583766309893545", "60690327130799096823622776464089819792631610581429", "56483922298879158065461715398175130629198039973300", "27172249002756092724037622609427722065855088170954", "84333466094711407620843139436725267511728995533981", "78274369306934354647199037869387704147059450524039"}

    {"57365862020625962602448300131993070701062758171565", "79201359583800352166071677156409701665875288868232", "51588737868950146486789380361866615152077696189864", "99742426468013673328128427446357129164171524564160", "10728392232647158994954826125581256387073576296313", "81807840752482684577555664722421909098473697622531", "70212810953386516345267158229100689275334739932224", "41206558137985933783905125736028711841005659407207", "65370168474089750225984401716932229651761796252764", "69497772261015131290941506951808430933818909369323", "34442891618996326556938691836213260523831989541236", "40475889794035325633146752643372301120719886571796", "72320388104209220995484801068664985614347737166039", "65994818869566386516677909772910512267043334914029", "63493775562241971287284932947498952365270180182126", "99921737280366112408825446447230287298798210824649", "62323270242533481114339035584201269628588985729515", "60269859108736599545442169584165549871969729031872", "37706591842538580153667675285517511192149137961148", "37090294868909552985886174193474086315289411676417", "56507382032472308615483413051179040648767897378893", "10681490578042362712045682255103309377276078237913", "51935095248073887805930092514073348653650988196335", "33003088502330708045587102011296520700563804634091", "42586282505549993964350984821728240142149349314325", "88118423939081423233588352964413103049557432197646", "37638180026661880524777718625687400551087790667160", "30008524285063044032861637330635521107189465158407", "27836465941626183107232877405349973490000528300004", "94770210340886880955146217676964281705670402089369", "26828040073411887767247056354663641121234691157679", "10198481340015535473150209357650174219859129033291", "86064119837063003318788787927919474487257886818895", "96743853728468791933645443448008269819065461856514", "22749490068078423137189104616478866959197253048826", "24390314594359283524705663802775167596334044436879", "27601578733553754779312756440908645193940163750771", "03630244947270673987971889687181299643470517676504", "02455921638469346444481744917218805054109027685826", "34441723765936552296442887381264952488392302349943", "82042514720195561075168345980051184753025040166222", "75536514352417193058143090548515378480745512623038", "61006102650019708630978983161233926985365063935233", "71221413034207568647235709559292593351724665902972", "23196195279407035705947142997765682740817337457029", "92790751908194384746585037003658935993089842504590", "17977300956630984294976514043360774975855275135728", "99862948302112789192023724772418101161014543169736", "74411674366623793479771430348218153261805811141296", "64204045023359738461318407972108599974616556752581"}

    Returns: {0.018752962852017586, 0.02056400484424362, 0.020775799628611043, 0.022314157960492156, 0.018878904220805487, 0.01653465429582146, 0.01852982605619337, 0.020264510280617876, 0.019528534161215975, 0.020091713549406608, 0.020832750898878132, 0.020298337722916084, 0.01953173519770672, 0.021997278219882236, 0.02120936528932169, 0.020583955551611518, 0.01863597706253483, 0.020177409009486773, 0.017952575219835128, 0.018021949540832968, 0.018529851616653638, 0.020432427168378297, 0.01956165338499732, 0.019336073865499414, 0.019108577952516866, 0.021028565678512724, 0.021288208397723676, 0.0193380669855733, 0.019041382593888878, 0.017409693090899375, 0.022699024249234086, 0.021017201161350998, 0.022262354698463552, 0.01929532355651081, 0.02013416081094614, 0.019719899173143256, 0.017564020064084772, 0.01936282682988687, 0.01925833624140863, 0.02106868137925204, 0.02062315455948546, 0.022592411973147642, 0.019356556198003257, 0.021186374813857354, 0.01916373476869238, 0.01901181924724402, 0.02170381429064363, 0.018221742395514426, 0.021222954187325293, 0.02398470710473028 }

  17. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111"}

    {"99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999"}

    {"99999999999999999999999999999999999999999999999990", "99999999999999999999999999999999999999999999999991", "99999999999999999999999999999999999999999999999992", "99999999999999999999999999999999999999999999999993", "99999999999999999999999999999999999999999999999994", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999990", "99999999999999999999999999999999999999999999999991", "99999999999999999999999999999999999999999999999992", "99999999999999999999999999999999999999999999999993", "99999999999999999999999999999999999999999999999994", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999990", "99999999999999999999999999999999999999999999999991", "99999999999999999999999999999999999999999999999992", "99999999999999999999999999999999999999999999999993", "99999999999999999999999999999999999999999999999994", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999990", "99999999999999999999999999999999999999999999999991", "99999999999999999999999999999999999999999999999992", "99999999999999999999999999999999999999999999999993", "99999999999999999999999999999999999999999999999994", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999990", "99999999999999999999999999999999999999999999999991", "99999999999999999999999999999999999999999999999992", "99999999999999999999999999999999999999999999999993", "99999999999999999999999999999999999999999999999994", "99999999999999999999999999999999999999999999999995", "99999999999999999999999999999999999999999999999996", "99999999999999999999999999999999999999999999999997", "99999999999999999999999999999999999999999999999998", "99999999999999999999999999999999999999999999999999"}

    Returns: {0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.02004936869185124, 0.017580934099287893 }

  18. {"0", "0", "1", "0", "1", "0", "0", "0", "1", "1", "1", "0", "0", "0", "0", "1", "1", "1", "0", "0", "0", "0", "0", "1", "0", "0", "0", "1", "1", "1", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "0", "0", "0", "0", "0", "0", "1", "0", "1", "1"}

    {"5", "3", "3", "1", "4", "9", "8", "2", "8", "0", "3", "8", "7", "1", "5", "3", "5", "9", "4", "5", "5", "3", "1", "4", "5", "4", "8", "5", "1", "9", "5", "8", "1", "6", "9", "1", "1", "4", "1", "8", "9", "1", "4", "4", "9", "5", "6", "2", "1", "6"}

    {"0", "7", "6", "9", "9", "7", "0", "2", "8", "2", "5", "0", "6", "9", "8", "1", "2", "6", "5", "6", "2", "2", "4", "7", "4", "3", "0", "1", "7", "8", "6", "3", "7", "1", "7", "8", "2", "3", "2", "1", "5", "1", "5", "2", "7", "3", "7", "5", "1", "7"}

    Returns: {1.0 }

  19. {"10", "01", "11", "00", "00", "00", "11", "10", "10", "10", "00", "01", "01", "00", "10", "00", "00", "00", "00", "01", "00", "00", "01", "11", "11", "00", "00", "11", "01", "01", "11", "10", "01", "01", "11", "01", "01", "11", "10", "00", "01", "01", "01", "00", "11", "11", "10", "11", "11", "00"}

    {"89", "87", "33", "15", "07", "88", "20", "68", "64", "67", "96", "24", "98", "45", "08", "24", "32", "50", "34", "10", "14", "10", "88", "97", "73", "25", "87", "56", "83", "05", "74", "80", "27", "25", "77", "09", "76", "93", "40", "27", "40", "70", "40", "35", "99", "73", "85", "09", "95", "57"}

    {"58", "24", "96", "26", "52", "69", "92", "25", "75", "31", "16", "75", "52", "46", "62", "10", "02", "74", "03", "09", "52", "24", "71", "66", "74", "35", "39", "88", "10", "05", "55", "19", "85", "48", "57", "53", "98", "55", "59", "19", "38", "71", "47", "26", "98", "07", "88", "66", "10", "08"}

    Returns: {0.4671166576585659, 0.5328833423414348 }

  20. {"100", "101", "000", "001", "011", "111", "011", "010", "001", "010", "100", "000", "110", "101", "010", "110", "110", "110", "000", "000", "111", "100", "010", "111", "011", "111", "111", "000", "000", "010", "011", "100", "100", "010", "000", "001", "110", "111", "101", "100", "111", "100", "110", "001", "101", "110", "010", "101", "010", "111"}

    {"671", "517", "016", "815", "111", "147", "531", "516", "551", "374", "336", "707", "018", "659", "457", "167", "071", "932", "557", "640", "891", "314", "058", "651", "414", "397", "947", "081", "250", "036", "682", "556", "730", "220", "976", "271", "838", "435", "629", "589", "082", "828", "790", "361", "334", "283", "041", "011", "039", "100"}

    {"527", "432", "738", "260", "177", "266", "356", "531", "892", "980", "988", "579", "405", "587", "748", "243", "883", "505", "262", "745", "706", "116", "021", "809", "945", "603", "323", "672", "154", "708", "155", "198", "738", "095", "067", "451", "210", "836", "486", "118", "587", "886", "027", "728", "255", "797", "257", "544", "507", "097"}

    Returns: {0.33827263744878244, 0.3524144613055419, 0.30931290124567506 }

  21. {"0101", "1101", "1001", "0100", "1101", "1101", "0000", "0000", "0111", "1010", "1111", "0011", "0011", "1111", "0000", "0001", "0001", "0111", "0111", "1101", "1111", "0000", "1010", "1100", "0100", "0111", "1101", "0011", "0001", "1010", "0010", "1100", "1111", "0110", "1101", "1101", "0100", "1010", "1010", "1111", "1000", "1011", "0110", "1111", "0101", "1011", "1010", "0010", "1111", "1011"}

    {"1662", "0570", "1447", "4309", "2530", "3616", "8688", "3745", "7360", "5679", "4362", "2890", "5630", "5208", "0276", "3875", "8139", "8219", "8759", "8607", "6015", "5434", "2430", "3449", "5131", "9504", "7582", "0977", "8815", "6371", "5408", "3443", "6823", "1842", "0870", "3940", "0329", "2683", "4388", "3409", "7991", "1348", "1777", "6576", "2570", "4774", "0362", "5635", "4726", "4719"}

    {"5092", "8753", "2240", "8918", "3467", "1773", "1266", "0134", "0500", "9269", "3032", "1239", "6221", "4277", "9405", "8399", "0927", "0217", "1217", "9782", "1882", "2590", "5203", "6209", "8982", "6693", "6221", "6211", "3290", "4734", "2200", "9004", "4657", "7671", "3253", "6761", "3725", "7575", "2976", "6386", "9350", "0971", "5017", "9700", "7635", "2785", "8985", "8654", "6844", "0012"}

    Returns: {0.23357032442678194, 0.260966744530979, 0.24247657536431777, 0.26298635567792067 }

  22. {"00100", "00110", "01100", "00111", "00100", "10010", "10111", "10111", "11111", "11110", "00101", "11011", "11111", "10110", "11110", "00111", "00000", "01110", "01001", "10010", "11100", "11110", "01010", "10101", "10111", "00000", "00100", "00111", "00011", "10001", "00000", "00111", "01010", "11010", "11010", "10111", "10000", "00011", "00110", "10010", "11000", "00000", "10111", "11011", "11110", "01001", "01010", "01010", "11011", "01111"}

    {"89326", "67448", "52707", "61622", "41984", "98627", "28517", "87001", "48686", "84947", "74323", "19233", "51485", "17928", "09475", "27125", "27221", "54658", "62736", "11600", "14320", "91176", "89603", "63067", "23713", "73362", "66983", "16872", "46091", "21389", "73324", "40542", "30313", "18001", "81386", "20474", "32000", "07582", "58494", "05336", "62209", "17702", "95272", "60396", "80493", "39936", "96965", "02102", "55472", "36247"}

    {"76381", "42855", "77691", "86396", "33526", "36133", "40989", "40982", "90542", "22564", "29721", "18115", "89223", "85237", "49514", "21294", "82714", "65027", "00655", "01391", "83172", "85151", "85562", "61648", "65389", "37376", "98209", "17441", "87131", "38067", "78840", "02476", "01432", "08158", "99133", "35117", "85057", "76666", "94824", "30427", "70928", "62083", "10019", "21675", "54213", "62964", "19560", "36825", "86093", "89088"}

    Returns: {0.19863289554557262, 0.18787192542674766, 0.20177374166555542, 0.22921428659624685, 0.18250715076587684 }

  23. {"10001111111100011011000110011010011011110010001000"}

    {"78127108470256421864186755060946504591713383302985"}

    {"46386769711474127429529348733251366105506950024285"}

    Returns: {0.03496081977094635, 0.017279485633916014, 0.0026120152702431183, 0.005625879043600563, 0.03536266827406068, 0.023508137432188065, 0.02129797066505927, 0.0379746835443038, 0.029535864978902954, 0.034358047016274866, 0.020293349407273457, 0.024914607193088207, 0.011452682338758288, 0.01285915209965843, 0.008237894313843681, 0.02451275868997388, 0.023508137432188065, 0.016877637130801686, 0.0325497287522604, 0.029937713482017278, 0.0030138637733574444, 0.016475788627687362, 0.013863773357444244, 0.03475989551938919, 0.030942334739803096, 0.011653606590315451, 0.0014064697609001407, 0.03275065300381756, 0.020695197910387785, 0.01848503114325899, 0.02913401647578863, 0.01225637934498694, 0.010648985332529635, 0.02129797066505927, 0.02933494072734579, 0.010247136829415311, 0.03817560779586096, 0.02310628892907374, 0.035161744022503515, 0.022101667671287923, 0.007233273056057866, 0.007836045810729355, 0.03717098653807514, 0.006027727546714889, 0.006027727546714889, 4.018485031143259E-4, 0.024914607193088207, 0.01848503114325899, 0.01768133413703034, 0.011050833835643962 }

  24. {"10100001010011100011010001100011010011100101101000", "01101110001000010011111110100001101101010011101010"}

    {"53061236515771310308390281338365202003127908889890", "07078615810817353421749239331939582053860783389368"}

    {"96495277301094822015310782081471969778963833333470", "75502598751306705016432754616656989604774489642865"}

    Returns: {0.01841178904769376, 0.021460321416944227, 0.022056176336709553, 0.014666981702278281, 0.019818748479471203, 0.018903492683626823, 0.01598784129715701, 0.024388375866170438, 0.014579569398864322, 0.013750516525975236, 0.015752726187288672, 0.016074648910341636, 0.020939077219720287, 0.020278595879252636, 0.019063598552837593, 0.01629373281607758, 0.0037127449371506943, 0.007330718202078854, 0.023317350118777197, 0.03217702431128615, 0.021026386437077674, 0.03553770127386367, 0.019144757781845066, 0.015671463872224622, 0.023265023674774687, 0.02185060178813209, 0.02804385375142738, 0.007324568213728945, 0.010619409375145475, 0.01336023615478737, 0.02209499342355358, 0.036366149456523424, 0.019085071969033984, 0.020583882707943875, 0.01609370356562069, 0.01134935465815012, 0.01690622363020463, 0.028735689723873904, 0.021932468793425475, 0.019548547510191416, 0.008531601481106078, 0.029437406912102917, 0.01908013136114274, 0.034247591620734485, 0.033948454780393156, 0.01762265955605079, 0.040646418132607234, 0.013147302237401334, 0.027358772457560097, 0.008475543809670994 }

  25. {"01011001110110111000001100110011010000100000100101", "01000111101110010111100011010101110110111101111001", "01010100000000001110010110100001010011101000110100"}

    {"56642125413549313834129846358157721871071951713150", "52562937857140853815593527485471321521893572863538", "47124776391156621323467920101490568125743258611108"}

    {"65460361637593367121882713773600088033323883416744", "56573568956473298034741050344628322556991152585347", "66600473708542035549429290863939405305876620638497"}

    Returns: {0.011111075582604778, 0.033521546613551965, 0.009405569946514954, 0.024091405497232456, 0.013277789705889484, 0.02668824634114999, 0.016464340945841267, 0.027200640320345887, 0.025554841304856843, 0.018627494354567817, 0.015321188243370988, 0.01973956553453019, 0.024386764944987833, 0.011708352205562371, 0.019523096650236483, 0.020380367523790084, 0.021199833719494604, 0.027715136838268185, 0.019018641262354308, 0.015809487435627847, 0.014704594572567576, 0.020412181822762332, 0.022018396172048676, 0.03149055301698403, 0.02082375664850918, 0.015461251527744984, 0.02174830091696977, 0.02367237249087403, 0.01049904216017659, 0.014237202120410707, 0.022642513876908896, 0.028262516029082002, 0.017727935813168692, 0.029345354818321033, 0.008566350377020245, 0.016734981423887903, 0.022471818502328107, 0.013798665363421446, 0.033176715999172005, 0.021557720104793513, 0.01969838904012794, 0.018784675810011746, 0.012993028563458377, 0.014850010512169767, 0.03718578837668243, 0.020162040297998236, 0.012627947768243636, 0.02062289873687306, 0.006799694336088417, 0.026177917830416328 }

  26. {"01011001001010011001100100110111000011110001011101", "10101001100010001000110010000110110110011010000110", "00011000001111100011110100011100001100100011010001", "00001100001100111111001110011011111101100001011110"}

    {"15884742301508639787782962791270315949430237812777", "30447581337787611703488378081738297315969449290540", "98292597770230314854462649362827629712086796047400", "11203630232911397227207008579228948033085576423574"}

    {"19651506986261853530350469202789801909379789974182", "70538978349859854196845855406974276661648016820007", "12233303570014241088860739147212249868304803200821", "15486887592788420333859774260828833970641629571939"}

    Returns: {0.012938255092346354, 0.01298399757620935, 0.014176984103082768, 0.021933221323498484, 0.029548633417813167, 0.01805202600277798, 0.013110604474491576, 0.016574640649606055, 0.014008000580576609, 0.008135911389002479, 0.02126322717889248, 0.022833224110562447, 0.022616753229601636, 0.014467445721926559, 0.02055934828123119, 0.017960207734602142, 0.026288544386315477, 0.017805873492826103, 0.019049587183859604, 0.026810173699793466, 0.025443482272549948, 0.02267696569103064, 0.015484456920099712, 0.025771349041399088, 0.020012893298736456, 0.015246686202609541, 0.013058376584759675, 0.03107548148008515, 0.017627601976807135, 0.02651446319629953, 0.023265713527026506, 0.023048134631061763, 0.021446743595472932, 0.01917824696908408, 0.02608077415733367, 0.02676559839838865, 0.015722710400774963, 0.020628477644668977, 0.02284450027108139, 0.02376118970937685, 0.01661491464121335, 0.010308689442280854, 0.022725790157814875, 0.0309483570595696, 0.008284135446675639, 0.024319539702743986, 0.016464157498123147, 0.026861078703845083, 0.02000032707446909, 0.016702504675601804 }

  27. {"01101101111010110010111001001110010010001100000100", "01000101001001100111100010101111100111111100110101", "10011110011100100001000111100010100000101001001101", "10101101000111111101110001010000111001100101010010", "00111010110000110001110011111000110000111100001100"}

    {"40738221320370183296752270507789193298947339942987", "08388140897671149872948689216356644011477457371972", "09726535094006040170075388673611696458312398077857", "12261887085870029951506552226192631927746110128468", "42531655318012945834213074608985296217126349184490"}

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    Returns: {0.013148629911602297, 0.017439271557748846, 0.022615668952135435, 0.017739196546718183, 0.026786684086079055, 0.02594535190740653, 0.018078197717230286, 0.020537866060709634, 0.014383936234667077, 0.024506449562418035, 0.022827270102715614, 0.01586331670810397, 0.017794852148300764, 0.012262189119030192, 0.025342389218107216, 0.022191484455866755, 0.015929076755881767, 0.020295770441347057, 0.02118957869956754, 0.022081296435474115, 0.02616186357733138, 0.01990879299738638, 0.01478298168242414, 0.011617332147003794, 0.02714181697302504, 0.026017266375148687, 0.02153290480551724, 0.013070949531540723, 0.025339904742779924, 0.01921322385037772, 0.02540765141825522, 0.014164632684199012, 0.025415882001592345, 0.026990679519771656, 0.013106775674763116, 0.011733281597298648, 0.01624271753432831, 0.021494039226770723, 0.026535137332956763, 0.016371671448120392, 0.028941933160029566, 0.022762691946721612, 0.009708404845472484, 0.022778569593488007, 0.010581600445772514, 0.020075662076616395, 0.018103104560177732, 0.030641597136456634, 0.019072581271466008, 0.01812587322209739 }

  28. {"1"}

    {"7"}

    {"5"}

    Returns: {1.0 }

  29. {"01"}

    {"34"}

    {"73"}

    Returns: {0.20555555555555555, 0.7944444444444444 }

  30. {"000"}

    {"655"}

    {"239"}

    Returns: {0.3563218390804598, 0.3045977011494253, 0.3390804597701149 }

  31. {"0", "0"}

    {"4", "3"}

    {"5", "5"}

    Returns: {1.0 }

  32. {"00", "00"}

    {"65", "65"}

    {"69", "42"}

    Returns: {0.5397144083559879, 0.46028559164401206 }

  33. {"011", "000"}

    {"366", "915"}

    {"972", "081"}

    Returns: {0.30559926013327876, 0.30601851275321845, 0.3883822271135028 }

  34. {"0", "1", "1"}

    {"9", "6", "7"}

    {"3", "5", "4"}

    Returns: {1.0 }

  35. {"10", "11", "01"}

    {"03", "24", "36"}

    {"88", "00", "52"}

    Returns: {0.4475337856943099, 0.5524662143056901 }

  36. {"001", "100", "101"}

    {"673", "943", "540"}

    {"715", "910", "261"}

    Returns: {0.49669520932456557, 0.1881609301079595, 0.315143860567475 }

  37. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

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    Returns: {0.019999999999999993, 0.07999999999999997, 0.03999999999999999, 0.03999999999999999, 0.0, 0.0, 0.0, 0.0, 0.019999999999999993, 0.03999999999999999, 0.0, 0.0, 0.059999999999999984, 0.0, 0.019999999999999993, 0.019999999999999993, 0.019999999999999993, 0.03999999999999999, 0.03999999999999999, 0.0, 0.019999999999999993, 0.019999999999999993, 0.0, 0.0, 0.019999999999999993, 0.019999999999999993, 0.0, 0.0, 0.0, 0.0, 0.03999999999999999, 0.0, 0.0, 0.0, 0.019999999999999993, 0.11999999999999995, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.0, 0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.019999999999999993, 0.0, 0.019999999999999993, 0.019999999999999993 }

  38. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

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    {"00000001000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000010000000000000000000000000000000", "00000000000000000000000000000000000000000100000000", "00000000000001000000000000000000000000000000000000", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000010000000000000000000", "00000000000000000000000000000000000000000010000000", "00000000000000000000000000000000010000000000000000", "00000000000010000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000", "00000000100000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000100000000000000", "01000000000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000", "00000000000000000000000000000000000000000000000100", "00000000000000000000000000000000000100000000000000", "00000000000000000000000000000000000010000000000000", "00000000000001000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000", "00000000000001000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000", "00000000000010000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000000001000000000000000", "10000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000", "00000000000000000000000000000000000100000000000000", "00000000000000000000000000010000000000000000000000", "00000000000000000000000000001000000000000000000000", "00000000000000000000000000000000000000001000000000", "00000000000001000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000100", "00000010000000000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000", "00000000000000000000000100000000000000000000000000", "00000000000000000000000100000000000000000000000000", "00000001000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000"}

    Returns: {0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.0, 0.0, 0.0, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.0, 0.0, 0.03999999999999999, 0.09999999999999996, 0.0, 0.059999999999999984, 0.0, 0.019999999999999993, 0.03999999999999999, 0.0, 0.019999999999999993, 0.0, 0.019999999999999993, 0.03999999999999999, 0.0, 0.0, 0.0, 0.019999999999999993, 0.019999999999999993, 0.0, 0.059999999999999984, 0.0, 0.0, 0.019999999999999993, 0.059999999999999984, 0.07999999999999997, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.0, 0.019999999999999993, 0.019999999999999993, 0.019999999999999993, 0.03999999999999999, 0.0, 0.0, 0.0, 0.03999999999999999, 0.0, 0.0 }

  39. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

    {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

    {"00010000000000000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000", "00000000000000000000100000000000000000000000000000", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000100000000000000", "00000000000000000000000000000001000000000000000000", "00000000100000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000001000000000000000000000000000000", "00000000000000100000000000000000000000000000000000", "00000000000000000000000000000000000000000010000000", "00000000000000000000000000000000000000000000100000", "00000000000000000000000010000000000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000001000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000001000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000010", "00000000000000010000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000", "00000000000000000000010000000000000000000000000000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000001000000000", "00001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000010000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000010000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000010000000000000000000000000000000", "00000000000000000000000100000000000000000000000000", "00000000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000000010000000", "00000000000000000000001000000000000000000000000000", "00000000000000000000000000000000000000100000000000", "00000000000000000000000000010000000000000000000000", "00000000000001000000000000000000000000000000000000", "00000000000000000000000000000000000000000010000000", "00000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000100000000000"}

    Returns: {0.0, 0.019999999999999993, 0.0, 0.03999999999999999, 0.019999999999999993, 0.03999999999999999, 0.0, 0.0, 0.019999999999999993, 0.0, 0.03999999999999999, 0.0, 0.0, 0.019999999999999993, 0.019999999999999993, 0.07999999999999997, 0.019999999999999993, 0.0, 0.019999999999999993, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.0, 0.019999999999999993, 0.019999999999999993, 0.0, 0.019999999999999993, 0.0, 0.019999999999999993, 0.019999999999999993, 0.0, 0.059999999999999984, 0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.03999999999999999, 0.019999999999999993, 0.019999999999999993, 0.0, 0.059999999999999984, 0.03999999999999999, 0.019999999999999993, 0.0, 0.019999999999999993, 0.0, 0.019999999999999993, 0.019999999999999993 }

  40. {"10100000000000100000000000000000000000001010010000", "00000000000000000000000000100110010000101010000010", "00000000000000000000100000100010010001001000000000", "10000000000000000001100000000000010000001000110000", "10000000000001100000000000000010010000101000000000", "10000000000001000001000000000010000000100010100010", "00000000000000000001100010000010000000001010010000", "10000000000001100000000000100000010000000010000010", "10000000000001000000010010100110000000000001110000", "00100000000000000000000100000110010000101011000010", "00000000000001000000000100100010000000000000000000", "00000000000000100001100100100010000001001010010010", "00000000000001000000000100100100000000000001000010", "00000000000000000001000010000010010000000000000000", "00000000000001000001100010000010000001101000000010", "10000000000000100000010010100100010000000000100000", "10000000000000100001000000000010010001100010110000", "10000000000000100001000000000010000000001010100010", "00100000000001100000100000000110000000000010010010", "10100000000001000000100000100010000000001011010000", "10000000000000000000100110100010000001001010100000", "10100000000001000001100000000100000001000010000000", "00000000000001000001100010000010010000000010010000", "10000000000000000001100000100000010000100010010010", "10000000000001100000000010100010000000001010000010", "00100000000000000001100000000110010001000011000010", "10000000000000100000000010000000000001000001010010", "00000000000001000001000000000000000000100000000000", "00100000000001000001000100100000000000000011110000", "00000000000001100000100000100000000000000010100000", "10100000000000000000000000000000010001101010110010", "10100000000000000000000000100000010000000000100000", "10000000000000000000110000100010000000001000010010", "00000000000000000000100000000010000001100010000010", "00000000000001100001000110000000010001001010111010", "10100000000000000000000000000010000001001000110000", "00000000000000100000010010100110000000101001010010", "00100000000000100000000000000100010001001001000000", "00100000000001000001000000100000000000000011000010", "00100000000000000001010000000010000000000010000000", "10000000000001000001000000100000010001000001010010", "10000000000000000001100100100110000000000010000000", "00000000000000100000100100100010000001000001110000", "10000000000001100001000000000000000000000001000010", "10100000000000100000100110000000010001101010011010", "00000000000000000000000000000000000001000001000010", "00000000000001100001100000000000000000000000000010", "10100000000000000001000000100010000000100000000000", "10000000000000100001000000000000000000100001000010", "10000000000001000001000010000000000000100010000010"}

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    Returns: {0.038436188539244846, 0.007291440562524415, 0.028692286771298738, 0.011963171776819787, 0.010415208659040939, 0.011346129566089146, 0.009412831285745155, 0.00697972084683198, 0.012942650795204425, 0.010390430318048831, 0.012436371259440313, 0.009443118866010548, 0.007754037961210686, 0.03429472950779552, 0.03322365017762938, 0.018209928986318166, 0.003522288170996493, 0.009798379616837678, 0.0175944029488812, 0.03699990087301085, 0.036739359146472673, 0.021597518699254428, 0.007399563412125433, 0.024203352981075895, 0.026154427474303087, 0.007260905185878392, 0.03285581455927114, 0.013831838520478517, 0.014397939532368858, 0.02583249677657136, 0.039640532736288085, 0.008243712322604499, 0.0058598282780938735, 0.031155314690612265, 0.00917266705298419, 0.022042057921583195, 0.006825332637377276, 0.0319023081006056, 0.030019861413161302, 0.003908705497106941, 0.031953973622416296, 0.01845614257856674, 0.041609663575634705, 0.027162452516010505, 0.028901974646357423, 0.03593485078021582, 0.022660671760053385, 0.010022058498692813, 0.04189585604368266, 0.011211951551171318 }

  41. {"00000100000000000010000000101000000110100000010000", "00000000100000000000000100001010000100100001000000", "00010000000000000000000100001000000000100000000110", "10001000000001001000000100000000000000000000000000", "00001000000000000010010000101010010000000000000110", "10011000100000000000010110000100000000000000000001", "00010000100000000000000100101000000000100000010000", "10010000000000000000000110000010000000000000000010", "10011000100000000010000000000100000110100000000100", "10010000000000000000000100000100100010000000010100", "00000000100000000000000000100000000010000000000010", "00010000000000001000010000000000000000100000000010", "00010100000010000000000000000010010110000000000010", "00001100000000001000010010001010000010100000010000", "00011100100001000010010110000000000100000000000100", "00010000101000001010100000001000000100000000010100", "10000000000000000000000000001010010100000000000010", "00001100000000000000000110001010000110100001000000", "00001000100000000100110100000010000100100000000000", "10000100100001000000110010001110100010000001000000", "10010000000000000010010110000100000100000000000100", "00001000100000000000010100100000010010000000000010", "10000000000000000000100000000010010000000000000000", "00010000000001001000110010101100000100000000010000", "10010000100011000000100110100000000010000000010110", "10000000100010000100010100001000000000000001000010", "00011000100000000010000010101000000110000001010010", "10000000000000000000000000000010000110000000010100", "10000100000000000010000110000000000100000000000000", "10000000000000000000000000000010000110000001000110", "00000100000000000010000000000000010000000000000000", "00001000000010001000010100000100000110000000000010", "00001000000000000000000000100000000000000000010000", "00010000000000000000000010000010010000000000010010", "10010100000010000000100100001010000000000000010010", "00011100000000000100100100001010010100100000000000", "10000000100000000000100000001010000110100000010000", "10000000100000000100000010101100000100000000000010", "10000000000000000000100010001010000000000001000100", "00000000000000001100000000001010000100000001010000", "00000100000000001000110010000010010110100000010010", "00000100000000000000010100001100000110100000000010", "00010000000000000010000000000010010110000000010111", "00010100000000000000000000000100000100100000000000", "00000100000000000000100100000110000010100000000010", "00010100000001000000010010000100000100000000010000", "00010000000001001000000110000100000110100000010000", "10001100000001000000100100000000000010000001010001", "00001000100000001010000010000010000000100000010110", "00011100000001000000100110001000000010100000000010"}

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    Returns: {0.033750781127871915, 0.01011940483370742, 0.013157810216786478, 0.03406659400222105, 0.02873266766851992, 0.03126376884704028, 0.004380510482972709, 0.012162654310469423, 0.030216237686354463, 0.007117608723724501, 0.021161631928971417, 0.014344552793575539, 0.023277737325662934, 0.025294739694916985, 0.001457546765827513, 0.004259449642718235, 0.025886947063101417, 0.021503647384376743, 0.024825958593150184, 0.00591834805092379, 0.028965572210429634, 0.0257631095565417, 0.002834468552049628, 0.03914741578087658, 0.033269692001551124, 0.005299526993906701, 0.024543361293167212, 0.008287186084953126, 0.030581967697454485, 0.025581771486697623, 0.03321922947050367, 0.005384647482293949, 0.018075083024872405, 0.023807252610679168, 0.01659603880743515, 0.04169255723666879, 0.03434385835306371, 0.0018283064919636975, 0.02989714457490757, 0.019527077730220697, 0.010685263582547153, 0.0013128049418066085, 0.00661950505510761, 0.023392172384662967, 9.184404116309614E-4, 0.03390777961059339, 0.018721230910828533, 0.026955429735045784, 0.03574201128836709, 0.020201497496281 }

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    Returns: {0.021807921992363706, 0.02901166124955426, 0.005239598395731096, 0.03373753532274259, 0.027864551966436193, 0.01336274670358, 0.0201969938243725, 0.03074121859624122, 0.016280922790323896, 5.896734044758956E-4, 0.01082431381411727, 0.029647504406596935, 0.016246191037488592, 0.040763825132660525, 0.028894255535567532, 0.027414637503421973, 0.02668799288808319, 0.024716849520721847, 0.03906146216196719, 0.043215912870769015, 0.006762995087131889, 0.015685427822988287, 2.1679151602457724E-4, 0.030827610904433925, 0.0275148669794138, 0.005516315872029338, 0.018606544292629527, 0.01076555316104034, 0.0017602904472606938, 0.0182459076805604, 0.023011504969317538, 0.020703949677790344, 0.02249041637086461, 0.004058022108311095, 5.203120274169002E-4, 0.03173834047944543, 0.017869766379555445, 0.02678653790348353, 0.03445412250534164, 0.0378421333721069, 0.025554161577733072, 0.0046247418492370955, 0.005107902426169956, 0.03960493554815899, 0.0010145759694234432, 0.0021076341302478964, 0.04739728508675024, 0.015423326067647875, 0.009564858499290552, 0.007917400170978275 }

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    Returns: {0.032930241474956295, 0.036749657114699394, 0.01653734944063497, 0.011170469029780873, 0.014457708109120932, 0.027527346727465783, 0.017258358953929787, 0.015164653427064566, 0.04093453772877448, 0.014174364589603562, 0.006211231215001699, 0.02271226984402469, 0.013421304353514765, 0.03656894085993651, 0.00904088760788712, 0.008183622274397846, 0.028206473360121206, 0.026352359463690692, 0.026975762530885315, 0.03456036351635858, 0.012201036441325428, 0.03109968433596394, 0.03311832272024902, 0.0032452480285117104, 0.02646598864316826, 0.027381248627946924, 0.00921191603562078, 0.003416936676160116, 0.03810882607913159, 4.6034128252480733E-4, 0.013518091381890683, 0.018739010609652565, 0.019787332660931762, 0.03926687959744967, 0.026272348591562134, 0.028552827785972894, 0.00676406943030553, 0.03101712193612528, 0.0019038129207405298, 0.005756978851323315, 0.01939784419136524, 0.001856928436163321, 0.030157193155870475, 0.015845871023936402, 0.032366652086853014, 0.024729818011075915, 0.018526341202585367, 0.0, 0.021490413700912148, 0.020203013932830794 }

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    Returns: {0.042236449270457874, 0.028237546900812305, 0.013428674945920547, 0.01070533412212206, 0.013532559833623704, 0.033871513473788736, 0.029682012832988394, 0.015880708355934962, 0.001423267871849279, 0.026216584580052563, 0.02667908173581177, 0.021932641391523948, 0.0379190870241134, 0.02133871182960757, 0.04344786650310642, 0.009586707828037512, 0.005182120478682041, 0.04066318667013089, 0.012016056634878008, 0.025368161001876572, 0.02478176640722448, 0.028810169007458582, 0.009977333788519678, 0.026710543223194674, 0.03708451078894272, 0.006807653677070771, 0.009256494623634492, 0.0401692167750224, 0.03323040729469754, 0.023094987404581994, 0.02929238326354443, 0.009491500110087455, 0.005313630140127991, 0.02224660762147857, 0.008901898938341363, 5.819243234691553E-4, 0.030405405487225482, 0.0166887846975816, 0.014564486549083083, 0.02571765040345968, 0.03369288780309518, 0.0035979611071393835, 0.009968591465370059, 0.006154113839099334, 0.018352670719421323, 0.01588258486261928, 0.0044152152843174395, 0.006226562828064231, 0.02913894047051495, 0.010094843810291961 }

  45. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000001000000000000000000000000"}

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    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0000000000000002, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  46. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000"}

    {"00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000007000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000005000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000004000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000004000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000006000000000000", "00000000000000000000000000000000000007000000000000", "00000000000000000000000000000000000006000000000000", "00000000000000000000000000000000000009000000000000", "00000000000000000000000000000000000004000000000000", "00000000000000000000000000000000000006000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000008000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000009000000000000", "00000000000000000000000000000000000003000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000005000000000000", "00000000000000000000000000000000000007000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000004000000000000", "00000000000000000000000000000000000009000000000000", "00000000000000000000000000000000000004000000000000", "00000000000000000000000000000000000009000000000000", "00000000000000000000000000000000000007000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000002000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000007000000000000", "00000000000000000000000000000000000005000000000000"}

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    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.999999999999999, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  47. {"00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

    {"00000000000000000000000000000000000000000000000000", "00000600000000000000000000000000000000000000000000", "00000900000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000900000000000000000000000000000000000000000000", "00000800000000000000000000000000000000000000000000", "00000900000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000800000000000000000000000000000000000000000000", "00000600000000000000000000000000000000000000000000", "00000300000000000000000000000000000000000000000000", "00000500000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000800000000000000000000000000000000000000000000", "00000800000000000000000000000000000000000000000000", "00000500000000000000000000000000000000000000000000", "00000300000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000400000000000000000000000000000000000000000000", "00000700000000000000000000000000000000000000000000", "00000800000000000000000000000000000000000000000000", "00000300000000000000000000000000000000000000000000", "00000600000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000300000000000000000000000000000000000000000000", "00000900000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000500000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000400000000000000000000000000000000000000000000", "00000400000000000000000000000000000000000000000000", "00000700000000000000000000000000000000000000000000", "00000800000000000000000000000000000000000000000000", "00000700000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000500000000000000000000000000000000000000000000", "00000300000000000000000000000000000000000000000000", "00000400000000000000000000000000000000000000000000", "00000900000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000400000000000000000000000000000000000000000000", "00000500000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000200000000000000000000000000000000000000000000", "00000600000000000000000000000000000000000000000000"}

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    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.9999999999999994, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  48. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111"}

    {"99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999"}

    {"57323955694297208135488005271591026165185745041803", "77813302327824512756303020483408578030595757653373", "39560351803549424446065850151593704659483322873228", "06629974810564237745399489969434088038585059782310", "12202449978021007018816457147595733416761307849238", "54622697318665108984599472953209855969157984085398", "00084947661405087192232470472986844783570210475942", "97225151050561855579511646053498534323784522115700", "51884436031832701557033725593741954163648637497834", "10811667149561472609117359648634298279918533815037", "38434665492137733536684548823867063287545523556346", "71956228120679731653993066155755094229291331638108", "82383626644547275951016103921371240958202254269593", "40145774961560781847798521086738951652371334420341", "54137923809182556652182449638257676083993182432652", "93655741304954013989404392530091580898939561441923", "80274031848746113132499748362419724495009212936595", "00748652667420795848101736612518505532018237010413", "24199570317278695271082087451449632555396492300364", "93212722315399673297171042519098419187414785622450", "52231760882868729739420390913335286198891000557674", "47732883852439174098527308259915853293652620262846", "56366366765661726226657451196388628064343959661030", "81866583301250215478664349336004238577654939288939", "22614339251852977355772607145244425940087543871816", "49171184105689691961154616535875100660307824420062", "34377817471264202201631214827151600933190598044797", "81351053807456895973928792060588080377036832951083", "09508251540607091172383191378874277289942691587172", "70219815988247056338126329202155770151548167280904", "76758403837273529659646341425835305950624624886017", "79499302683720278577852951118676263630957841110892", "46853773000593272926459140315842426280870354540050", "34125774225314364271055153473378377445896349896557", "38102992680257209500313265525984928861799426175619", "06165687468923430761020447472222274688413056304035", "34194300747176833107905297920682397289055549337522", "92641829893487805138613435818552578778158837320343", "57785825513797242692411096563315892012273545773160", "60204662086433262466381159293813688405657284827070", "94761195848534110754990576568816242767823827590859", "59171734929199987146245246584888896182167157361185", "86156603185590282539169564976980950305251314245596", "97899437768929035659628719050084188351806341866276", "97539053832746420122528973081952472119857444507478", "04246107984399464676177788335046248862792029018782", "36862234916577644236461750363216766070519417293318", "10163428342332264428424123344609548857568032424233", "95894989371786947374664380187902798811188615378614", "17465320949037482660049117611170370800299449465930"}

    Returns: {0.020025620943853947, 0.01998038093298306, 0.019961872327927357, 0.020007116055177496, 0.019994778468360654, 0.02005441402598304, 0.019978324138374862, 0.01996598628163482, 0.0200749768070915, 0.019968044520487158, 0.019980382422236573, 0.020005059485503546, 0.020064695533518105, 0.020042074113062375, 0.019951592318611936, 0.019984498778506908, 0.01997009761674807, 0.020005061006260927, 0.02002356630436897, 0.020068808897805487, 0.019933081625900444, 0.01999271771440911, 0.019998888354747748, 0.019914575148970323, 0.020013281629344314, 0.0200132856741608, 0.019951592008173587, 0.020009171009599203, 0.0199659850263174, 0.02003179305994089, 0.020029738780354057, 0.020035906167784584, 0.02000094787591646, 0.02005646651032063, 0.02001122655794864, 0.01996393178162217, 0.020074978021884595, 0.01999888924108405, 0.020000946445126528, 0.02007909225003822, 0.020042074823961288, 0.01997832376041444, 0.019931029200039436, 0.020009173322219954, 0.019978326099991266, 0.02001945125736295, 0.01993719650642649, 0.01997010041075539, 0.01998860668522773, 0.019961872071458376 }

  49. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111"}

    {"99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999"}

    {"44977441692963614624667929513574772534408742256599", "66960606373429998462302731185476688949809301692560", "53793419637112881020424897693639406879387667570666", "53124386067059451406548190549139195586034427692151", "73300313589609875772460399016956573230052717696333", "14855666856076230079948527542640125200791593559757", "30796871582885229733200071023521534119781377873819", "11844127260854374642125267028535761668313071192457", "28564904531350913627624890576582801409435983383471", "99989348993185478715792591378876878278019668581905", "05996777392291168434062740136748286801020573668286", "54166669887020980041575408287440917116246294196605", "49810190366933814581840831611547632576706633770715", "66523987084926624309779325481344810155651021549896", "22354760621123039636336824411744742625053446322414", "17288958800357179503498253534345845537403616287096", "10156042299754661056698753868509193708312699199851", "88864848456782513995195263695374888685913580087803", "09583872920633966093592687976663716488278957055177", "34169901717124506802199934018556572817200679986281", "20965089252094459682426441084287312729219153803480", "16623694803691826447251244580513184742230995318580", "88357591543886751426509188102999811123713162140169", "91670538127115342121309136565199811092593885472338", "43082422932831112259127120677462832340675766402890", "62765865884094578416710413554003099124205843888826", "07496153058197966059838273027943075974743261053525", "39221323602108751132081485849995937654568460540461", "53902870460580703540595695604115208831174337710219", "92535466342422140241942886836014882852145945503188", "22297666360311484607021233978306264225180128734037", "84671922633964077119066167151422982370933820097212", "82904234464616441781810016254082913994553407466775", "67241938247173926964351623315299814757871914723706", "98699263214358417584524391524836680394157859020434", "76652166497542109216400372681268885429634094290512", "17915322959446168347110429723776905713292209460806", "84587238192665330917393920943102385342290246358639", "43195855399081247841161911652634034028356333711549", "01163685947067625112519169323020148690200675889505", "41764767559901519695464232632710747927177994063692", "59684795152632811202776441958846986053790318935802", "72147977777855424669566225093748528353652936944598", "64767638194587171093170606229647245631436253585618", "86692889077971627709022343148444758119508818865122", "17450811085035582367867173208326889034578571202697", "87181585312016254495653998004488637724329840163613", "33936689722784103553732065960001612340123639609589", "65700246445599255970920473249810465106665973455174", "24064759966957748115279308743778608058641099316068"}

    Returns: {0.019991856841305045, 0.020002135341800755, 0.02005765393921004, 0.020094663512797605, 0.01995690257202327, 0.020084384423055667, 0.020045319994983445, 0.020049427535968955, 0.019995970162152342, 0.02006999033479226, 0.0199774640528968, 0.019973351928558716, 0.02003298088715657, 0.019971297123526677, 0.020010360458608326, 0.019946623626209747, 0.02000419526096668, 0.019965129434045457, 0.019942510350365265, 0.019983633914961788, 0.019965127472918124, 0.019995966262439286, 0.01995690482545584, 0.019963072011217595, 0.020022700713441866, 0.019956905608085232, 0.019961017602035926, 0.019971294321379392, 0.02001858785590749, 0.020004192553209448, 0.019973351487778443, 0.020028868097094265, 0.020098776991035988, 0.019993914471004178, 0.020006247682081854, 0.01998363575009697, 0.019938397821229102, 0.02002269720056229, 0.01992811701773006, 0.01995279508048557, 0.019946621044419188, 0.020053540564418857, 0.02003503739238342, 0.02002064491889388, 0.019975412346979936, 0.020072045634565525, 0.019958959742894012, 0.020010362379249393, 0.01998980271543592, 0.020039150740185214 }

  50. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111"}

    {"99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999"}

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    Returns: {0.020045553764059882, 0.019887118310755857, 0.02001468895373584, 0.019961193487937682, 0.02003938253084155, 0.019967367072537417, 0.019957080374488276, 0.01997353828772877, 0.020010575173645715, 0.019965309623904765, 0.020096996074038167, 0.02003321085164908, 0.01993444505231285, 0.01996530941217309, 0.020014693638445033, 0.01989740827004906, 0.020041441583044634, 0.019967367599546395, 0.019971482969756926, 0.019967366054504013, 0.019967364464425607, 0.020031151574196025, 0.020018805887016974, 0.020066130533996356, 0.019979708516476184, 0.020033209761547273, 0.02002291997343379, 0.019996176654954873, 0.020006461519640355, 0.020004404471923923, 0.019955018610566734, 0.019985884042498434, 0.020031151830944567, 0.019983825616410003, 0.02003526904351667, 0.0200620147764048, 0.020031154623733977, 0.01992415328222791, 0.02000851687366125, 0.020002345081883335, 0.01996325081042103, 0.02001057497994418, 0.019983827670452536, 0.02007642132213289, 0.01998588386681574, 0.01999000008386694, 0.020004403940391255, 0.020057904356669657, 0.020086710812963173, 0.01998382593172891 }

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    Returns: {0.020348695876119385, 0.01999877269178687, 0.020001079695341005, 0.01980904373945063, 0.019820471454591135, 0.020485824223355674, 0.02005367368240332, 0.019930202552692216, 0.020019447948350866, 0.0199325100471023, 0.019973777123705214, 0.01980452718293095, 0.020225154065310735, 0.020195513995469466, 0.019827242303797225, 0.020090250825637777, 0.01988222529088817, 0.02054067889189632, 0.02003314414808305, 0.019904962637252974, 0.019662672049557094, 0.020247967922683355, 0.020229829201783726, 0.019843376435637453, 0.01986389461884084, 0.020097151262375653, 0.02014516532381337, 0.019575793798513295, 0.01984550926700948, 0.020325762025140137, 0.020042242059183677, 0.02006274365102957, 0.019969046422559072, 0.020113054387336984, 0.02009703862195399, 0.0197952180073882, 0.019703949324704723, 0.019786116973634308, 0.01948667236484502, 0.02014056727622561, 0.0202869971653665, 0.020014896647404228, 0.01977925819962953, 0.019898258979458124, 0.020389827678409553, 0.0200400073356722, 0.020081124336420206, 0.01953234165310719, 0.020106409307080794, 0.019959909327070563 }

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    Returns: {0.020253250444765575, 0.019994096045472434, 0.020191254372324857, 0.020067380519541413, 0.019682278864817472, 0.019751107411882574, 0.02003071893350658, 0.019893148842243535, 0.01999401782515386, 0.01960891880215262, 0.020372279610608706, 0.019799286039394345, 0.01976243853290996, 0.020356331541095583, 0.019508095544460053, 0.020211877723390545, 0.020159081177787964, 0.020033117592350234, 0.019806027060124166, 0.01991377751826872, 0.019638761459281423, 0.020120081293936262, 0.0201661224815986, 0.02002855041321669, 0.019673063800422247, 0.01974653627217662, 0.019874765794443507, 0.020207206885873113, 0.019670798788528693, 0.0192788262024822, 0.020287518136765284, 0.02025099461345778, 0.01986339249426858, 0.020445671584924392, 0.020282972777304627, 0.020157004035680458, 0.020065191668106094, 0.019620338354693425, 0.020014654252539062, 0.019918454226697434, 0.01979467075775234, 0.020227826105888424, 0.020145447988871832, 0.02059935980492403, 0.020565083040074206, 0.020292176680872628, 0.020143125156269637, 0.01971444925611163, 0.01977858711137282, 0.0200398841592152 }

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    Returns: {0.020437244416517578, 0.019824340939104027, 0.020007304005576074, 0.020430425370441797, 0.020162843859873113, 0.019613981354451873, 0.02001197113232927, 0.02011719218472397, 0.02006672302802734, 0.020455550935491583, 0.01984270258303848, 0.019892925013015574, 0.019867860904817264, 0.01984268448764058, 0.019924988123970956, 0.01994554239828717, 0.020190263832586652, 0.020434996207512206, 0.01997084459558611, 0.020064567776886307, 0.019739772548068503, 0.020206198730126884, 0.020075883810879023, 0.019815232660377484, 0.019988992189626787, 0.02009874186718936, 0.019977666893037864, 0.020240617574217936, 0.0195340436479858, 0.019657444992788292, 0.020142234231056114, 0.019897564243830136, 0.02019026823217826, 0.02045541692739543, 0.02006218367439738, 0.020181073921055722, 0.02006220022938324, 0.020146703053705153, 0.02022457203752834, 0.01999592056533852, 0.01983125098265022, 0.01984039908187506, 0.019963888367919846, 0.02018563503387681, 0.01996375776111207, 0.01971012885578422, 0.019735097481533518, 0.019751150288779384, 0.019680238246607966, 0.019540768719817237 }

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    Returns: {0.020195699576965768, 0.02047854833028737, 0.01991883319631069, 0.020067637494370086, 0.02000364465399506, 0.01996938714275185, 0.020941558398635002, 0.019306158850028836, 0.020086224410211472, 0.020488642126025285, 0.02095708705964839, 0.020470356708207495, 0.020433026082668008, 0.01936969637685668, 0.020020360390547064, 0.019362004071548627, 0.021140954184969425, 0.020424553594365704, 0.020531598256781317, 0.019721755859460937, 0.018621347865994516, 0.020632876841766425, 0.020608760901964226, 0.019300546772801623, 0.019482250078604497, 0.020622497688469705, 0.01994765645290989, 0.02004385540711067, 0.020377007798528624, 0.020320802891261504, 0.019607435351791033, 0.01947163912355221, 0.01948415428791753, 0.020321216361018433, 0.019481983340981522, 0.018892817181546877, 0.020472286482494394, 0.019447277127205145, 0.020328530789810284, 0.020307181115775407, 0.02070747697129529, 0.019268773430369084, 0.019698141085047898, 0.01971074368114967, 0.020147857586240974, 0.019455602942347848, 0.0196049118205096, 0.02019590438600154, 0.019788578764291184, 0.01976215870660435 }

  55. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000010000000000000000100","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111"}

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    Returns: {0.020003625391669874, 0.020052517965620957, 0.020036170452833502, 0.020014348915077553, 0.019992655908848418, 0.020033422851273765, 0.020027598121725426, 0.019955165553997945, 0.019931176193782853, 0.02000105730719677, 0.019970528556537748, 0.019965036321124178, 0.019995560870800934, 0.019963156531516205, 0.020087642640327693, 0.01995785679725902, 0.02002201373072474, 0.019926179886091352, 0.020033716765224665, 0.020024498332401608, 0.01997173609833511, 0.019970637322043322, 0.019952024391674063, 0.020090127803180497, 0.020011241294840373, 0.019949780932668186, 0.02000076325007809, 0.019963219253160858, 0.019946572983887998, 0.020011130741262914, 0.02010954663588355, 0.019997609455575147, 0.020044040415689125, 0.020001469028674522, 0.020022901838598728, 0.02000119735094777, 0.019998410948697264, 0.020009300097869068, 0.02006568529668737, 0.020066294907137912, 0.019951790173494934, 0.02003906666486642, 0.019970568655263574, 0.019955415071463447, 0.019922229802159432, 0.01992535010816782, 0.020063275617059406, 0.02001212541495651, 0.020006482444109817, 0.019976076907523843 }

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    Returns: {0.019941424157702434, 0.02008169882820487, 0.02000871346061941, 0.020033732964087888, 0.02003591041568312, 0.020062855576473186, 0.01995501008137983, 0.020044128100483647, 0.019992982530490037, 0.020052612027129525, 0.019977036937527202, 0.020055123445468944, 0.020036750337682516, 0.020013899039782568, 0.01996832324656796, 0.01998952899779524, 0.01994382420833731, 0.020001002867669985, 0.019958034090586264, 0.02001927309553875, 0.02006335296359208, 0.019887264131931384, 0.019976648552905374, 0.02002334827935138, 0.019830194913065178, 0.019987623764630515, 0.01999537694965667, 0.019990019023726786, 0.019987532288878018, 0.020027686768102952, 0.019987274195615794, 0.02000940818427795, 0.019992351041815043, 0.02002824586126919, 0.020017568019881096, 0.020003734334248475, 0.02002746865076668, 0.019954327352985416, 0.019968797370997105, 0.020028362554530107, 0.020030213489474487, 0.020012249785109248, 0.020075929889338595, 0.02001469250879171, 0.01998551350277473, 0.01998174560391534, 0.02001697013229055, 0.01997918313594514, 0.020023016974223987, 0.019922035366690603 }

  57. {"11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000001000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111"}

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    Returns: {0.019971260570823744, 0.020036310805568985, 0.02002963966474483, 0.020011781253952497, 0.020038292744186947, 0.019954970132532304, 0.02000288295167285, 0.0199501554122091, 0.019968782639739627, 0.02007668292285743, 0.020033693012776542, 0.01993388067478702, 0.020095244690651895, 0.020003803542846983, 0.019896190998578204, 0.019970976802175182, 0.020040671935273292, 0.019960628574231115, 0.0199869696155034, 0.020047390542353265, 0.019992797681770317, 0.01994397342690667, 0.019941289675470916, 0.020068423358635956, 0.01994991558607032, 0.02003607689557787, 0.020035723421153635, 0.019984374096809653, 0.02002320470374367, 0.020000610671126403, 0.020044138271963094, 0.02007713358725772, 0.019979153241274104, 0.019977299184938308, 0.020022516575889188, 0.020087776516367735, 0.019965356920403608, 0.02004146205541867, 0.01995798011321814, 0.019958046838369152, 0.020084732769409742, 0.020008540753868032, 0.01997052629556109, 0.019984689496808553, 0.019919544132241885, 0.019995643079754, 0.02001739187991238, 0.020001305746529783, 0.01994391843377683, 0.01997624510229958 }

  58. {"11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111"}

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    Returns: {0.02029636668452696, 0.019584177734497447, 0.020404835398553672, 0.01990713019355472, 0.01980944338968446, 0.020128295080524515, 0.01963027417698378, 0.019853305293289443, 0.020309086397148516, 0.020749024407705076, 0.019884769885614627, 0.019741939242849994, 0.0204365778764087, 0.0196021239745305, 0.019855718064657576, 0.01889037149600847, 0.019985359738365748, 0.019488322973432583, 0.020094258680692433, 0.02004985008840862, 0.020575473253078645, 0.019472527894887886, 0.019288465166798427, 0.01985346465800645, 0.020293698079582347, 0.019861204621768505, 0.019677493987875924, 0.020112306372734465, 0.02043579991455706, 0.019791277189310504, 0.020379181536621518, 0.020897158836162347, 0.019877061984884013, 0.02028025764376376, 0.01960221185242543, 0.019899856970394886, 0.02095385838279257, 0.020847785620996158, 0.020156531416965853, 0.019674533821677352, 0.019698001010435513, 0.01902454609055811, 0.020560577746961548, 0.01976525530490337, 0.01979430651194897, 0.019325181025783643, 0.02065864165796838, 0.020133273839551404, 0.01977332121609863, 0.02063551561307218 }

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    Returns: {0.020473935256087636, 0.01924234675885393, 0.019736781810554025, 0.019696746990317465, 0.020271125210506908, 0.019776871221842032, 0.020120604625205374, 0.02002286659149596, 0.019967415366478353, 0.019265345609677614, 0.019688985484791973, 0.01890658231672798, 0.0195661083385693, 0.02040365540557778, 0.020210676239225105, 0.020215715854427642, 0.020341073073235242, 0.02026827923306643, 0.020110465309529348, 0.019761806439573888, 0.019678839163790197, 0.02038616840549119, 0.019094630522241245, 0.01974673302951816, 0.01986466458690596, 0.02042401799588024, 0.019535982498647506, 0.019834860550132845, 0.019616326722335962, 0.020180682916134212, 0.0203635497450204, 0.01982716798944531, 0.019942551655286113, 0.020551677683424675, 0.021195992463600495, 0.020636863387523796, 0.02020334305531844, 0.02004776329210983, 0.020027834146990553, 0.02029342646385709, 0.020042674825392844, 0.019859751045068375, 0.019483537668637956, 0.02038621216198335, 0.019526193050963345, 0.020285947626515755, 0.0202330928455517, 0.020534366949742974, 0.02021295189534416, 0.019934808521405094 }

  60. {"11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111"}

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    Returns: {0.020168640688652234, 0.019961627704697543, 0.020098067326189323, 0.019964155432156818, 0.01958474588365019, 0.01959950839914205, 0.019966266206619513, 0.020090658708586787, 0.019940104046555635, 0.01996671753811818, 0.02088385098176345, 0.02003947038390192, 0.019275799733151522, 0.020081042954419773, 0.020898392540440014, 0.02010294019671342, 0.019968894343861152, 0.020416787154280053, 0.019789134787374433, 0.019711141132339568, 0.019927608422168803, 0.0200030639650483, 0.020299740556810997, 0.020078452016066593, 0.020083225961416446, 0.019830399213109133, 0.01984738397259448, 0.019876728080464107, 0.020285536313403022, 0.020292514431441297, 0.019827785631766133, 0.01972105649328079, 0.020287540818950338, 0.019825658164703313, 0.01998865213292242, 0.02016841117219391, 0.019932500662528718, 0.01954815561523092, 0.01954582676822888, 0.020224614665460813, 0.02010505929561932, 0.02004203443511207, 0.020015374211976692, 0.0198377525822708, 0.02051155822735302, 0.02006854625379345, 0.01958480371280589, 0.019404661494348146, 0.020120043984654973, 0.02020736460166632 }

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    Returns: {0.02005761431274019, 0.019972967051833237, 0.020433315708734006, 0.02014404040659137, 0.020161046486487255, 0.019792041001494495, 0.019960893540919847, 0.020141530259801046, 0.019739280020286517, 0.01989571649410142, 0.019794399961787258, 0.02031531388336834, 0.01981137298124643, 0.020042870167076572, 0.019946437761213208, 0.0199101533373785, 0.01987393921917324, 0.019866690123930112, 0.019907878808719793, 0.020435609686834947, 0.01995117687535582, 0.020221445139265996, 0.019912857756206402, 0.019772843128926982, 0.020322527002881993, 0.02005722325260889, 0.020134225027005518, 0.020172901178170524, 0.0198139675134314, 0.020199642947541792, 0.020199560167543977, 0.019437662756892734, 0.019907731962747335, 0.020426174264095192, 0.019806516437152102, 0.020001738560255763, 0.020105388625272985, 0.020664698925743193, 0.020028348893127258, 0.01957523763275533, 0.02008630641423927, 0.020153782708889817, 0.020013747703173938, 0.019531769969160756, 0.020086209661172617, 0.019893255036794018, 0.019878969514234672, 0.020001543212183764, 0.019972720273537005, 0.019466716245918024 }

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    Returns: {0.0197504462980159, 0.019865988054959767, 0.02099694986185837, 0.01996816178863861, 0.019739317959540197, 0.020781163402045184, 0.020601823985534905, 0.02098052452019005, 0.020317778342026322, 0.02034996638595162, 0.019590245105354828, 0.019236133716779708, 0.02020386939557406, 0.019811109335133276, 0.019769974354997662, 0.01910716032808591, 0.0202644125680934, 0.020449791708183698, 0.01955709536739717, 0.019960141242340385, 0.018921157569870364, 0.020599522834516822, 0.020137848559743654, 0.020292024352727003, 0.02006507734349051, 0.02039705626362955, 0.019600731214100033, 0.019463082068632707, 0.0191646766511772, 0.020728498526001598, 0.01937116790153364, 0.019517771709608778, 0.020701192539818152, 0.02029260445456224, 0.02073217621799307, 0.02050799868353548, 0.020342294715961964, 0.018869174607432475, 0.02021701969164427, 0.019349926857052127, 0.02081705498911436, 0.020128488366476467, 0.019526419382181356, 0.01980307412943388, 0.01997438745957173, 0.02020884908038207, 0.02032582388132289, 0.018796735571891196, 0.019945991457588033, 0.0199001191983033 }

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    Returns: {0.020971734656429125, 0.019823569932521396, 0.019148671821157905, 0.019470164971887704, 0.019608251955477836, 0.0205872692620933, 0.020699445253831966, 0.020069939959117756, 0.02022543339509166, 0.020558842967126484, 0.018199775294697924, 0.02013936983672471, 0.02057582673082997, 0.020915493180927336, 0.019093671343262876, 0.020513218816816173, 0.019863072997588847, 0.018476027892430587, 0.021224950115007513, 0.020833629350801405, 0.02006425041297147, 0.02066522890911356, 0.019262716052029186, 0.019808838028362585, 0.020040793720757948, 0.019679902599850422, 0.01957029257068917, 0.020415083283757723, 0.020877411591472068, 0.01886687237711628, 0.020509784474527098, 0.020308521687831368, 0.019691340686141003, 0.02029713030415414, 0.019909834914867194, 0.018755376277399857, 0.01912206377457693, 0.018966356031238574, 0.020805047657984382, 0.020485899716718183, 0.01967474933870468, 0.020220333035777895, 0.0211732466896867, 0.019764948811075458, 0.019139995487652956, 0.020381017144305506, 0.020188209507495294, 0.021052138756851916, 0.01897027712059109, 0.020333979302479484 }

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    Returns: {0.021472752897519123, 0.01868038707256579, 0.019713582959715845, 0.019632388408202084, 0.020518678831614585, 0.019599079351458375, 0.02042141798463782, 0.01983919323436006, 0.018210403251464356, 0.02183952569267862, 0.021452350247076906, 0.020654217763159524, 0.017770049435613833, 0.02061640462924542, 0.02006490681189317, 0.019503815853541516, 0.01948943491017459, 0.0203809732151488, 0.020985262349068043, 0.02055109154437686, 0.020541566500347542, 0.018747782350065287, 0.01987433622354036, 0.018146093878955973, 0.020460572087559668, 0.020650404484452364, 0.018927168043409652, 0.021524539347767362, 0.019973340313655573, 0.019613077834024186, 0.020121619479751843, 0.017919491955043384, 0.02023929057606214, 0.020538691081867615, 0.020123731241233393, 0.020335297028994264, 0.020069433585029127, 0.02044119576759199, 0.019287875792511174, 0.020432180126848838, 0.021374886397393565, 0.01870105205821953, 0.01859963269840094, 0.02100876868115803, 0.019351050337141813, 0.020859767945194573, 0.020338796242038475, 0.020782067094937153, 0.020123101712648264, 0.01949727269064174 }

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    Returns: {0.01978271810656757, 0.02027982522938178, 0.019304662391944793, 0.020529157865414305, 0.019136449276612174, 0.019887939204785553, 0.018625435759751105, 0.018622791474330845, 0.020884201934315335, 0.02042546702683357, 0.01838050814804038, 0.021731055170814556, 0.020288554148002416, 0.019558769873634453, 0.0196161186052438, 0.020478562020221934, 0.01975720403325463, 0.01995315054070535, 0.01916816474764499, 0.01987844767337102, 0.020871235709942867, 0.020781077479107516, 0.02027889516186493, 0.020378000716950485, 0.01913080749361867, 0.019044154517432663, 0.02077172317611934, 0.019602117557015835, 0.020403106287203803, 0.017432699887419557, 0.020491425820614417, 0.019749068214353977, 0.01965004924663219, 0.021828116739457216, 0.020019909429171177, 0.020071991169891324, 0.020570968473587317, 0.021218234218906326, 0.0194025049006817, 0.019744354315574034, 0.02197583561856312, 0.02144480152837149, 0.01897417171697646, 0.02063833532796322, 0.01940731626726596, 0.021233691657749378, 0.01922259941985057, 0.020277636594448607, 0.01909226958989011, 0.020003718532500197 }

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    Returns: {0.021490042627805826, 0.019780290767348475, 0.020387172828521646, 0.018444897066944285, 0.01976463333210674, 0.021560809959250936, 0.019328934648707684, 0.017434931931721496, 0.02160050103998978, 0.01995256535353926, 0.018816067116604714, 0.019323091287365663, 0.01961114792867529, 0.019649996939405234, 0.020164299677502103, 0.019599363160665507, 0.018890058436712633, 0.020212441399047775, 0.02078453601741291, 0.020341162421654495, 0.021482538565120682, 0.019616854083823358, 0.01995708879140911, 0.01913347107893323, 0.020126315098037327, 0.018777789799804705, 0.020082957070393176, 0.02062631819065275, 0.020026902711636065, 0.020209626371523088, 0.020214976367342784, 0.018828821221641232, 0.020061912905412448, 0.01807533087953039, 0.020804178688937892, 0.019490348650784958, 0.018858480394832126, 0.019181160356927254, 0.019702079822479877, 0.020178158222750386, 0.021042680533209044, 0.019956092800690578, 0.022235125106056543, 0.021747219156965484, 0.020232013901126295, 0.01901973781116178, 0.021255271134556157, 0.020714177186029786, 0.021758496010099323, 0.01946693314715346 }

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    Returns: {0.020488345921153395, 0.020463070526433397, 0.020660447414328778, 0.020076435424758465, 0.019781572609745623, 0.01755518149875646, 0.01951578313305311, 0.0192979794598834, 0.018884353191677913, 0.018235199211026152, 0.020561228182066897, 0.02068434507449125, 0.018656647644013882, 0.019796969397109305, 0.019916244684587546, 0.020714443411601533, 0.02205110623252586, 0.01794272868939719, 0.019985766593184497, 0.021336104942099563, 0.018972594457987713, 0.021128315517120622, 0.019036019129400554, 0.02103346090705358, 0.02012983749616821, 0.01956177827779889, 0.02198543559177764, 0.020359900549502364, 0.019221688557149307, 0.021912325951771755, 0.020342456804235392, 0.02148808151623649, 0.019009758974434684, 0.020474994327480286, 0.01926046586370774, 0.02014594968272724, 0.02063667565441713, 0.020528687146178545, 0.02044352662600639, 0.02020925582672716, 0.019536445906075974, 0.019247676285004536, 0.019279961168938466, 0.01862825797703992, 0.020516228438626553, 0.01945460541199798, 0.022477885092609506, 0.019220515866792843, 0.020674763682024498, 0.01847849807111577 }

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    Returns: {0.019033976276551852, 0.01943849915705974, 0.018685129964547745, 0.021762591622855515, 0.02041912490656473, 0.02214059775731427, 0.021375301600652635, 0.01887161418721805, 0.018542916021747017, 0.01889478811077716, 0.01983234825998679, 0.020179423107415037, 0.020794912635953098, 0.019691259586368096, 0.017841870223738916, 0.021453043892769665, 0.018656411766544742, 0.018615250756871277, 0.021103913057326923, 0.02020213209927791, 0.019057309818231068, 0.01932632573141043, 0.019376362770313977, 0.019385118497021587, 0.020857213007023652, 0.0212386278291714, 0.020082117985817684, 0.020373017140660154, 0.0202882938964331, 0.019902763132384815, 0.020817358692435985, 0.01971939591621127, 0.02078507137147744, 0.01944808047600659, 0.02133518819381986, 0.020221195131528397, 0.0209588156719133, 0.019158825155605987, 0.020056205583015352, 0.01772843277818136, 0.02074638396947433, 0.01878495394371471, 0.018560397132480835, 0.019635470675532632, 0.020748731063912434, 0.01999985153678312, 0.01956821511979445, 0.022094236902336285, 0.020291727394857347, 0.021919208490908275 }

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    Returns: {0.02169845114635387, 0.020394021733770775, 0.02110767690393907, 0.02017832238670756, 0.02171022922945096, 0.02170861863032497, 0.0212234718765887, 0.021247990530538108, 0.021445310758249046, 0.021347999493331743, 0.022108971159563492, 0.021270833677905176, 0.019255480234529193, 0.02029965038247932, 0.021015346342310733, 0.01946310613970944, 0.019555004233754142, 0.021763957602925377, 0.020043938964703002, 0.019228738795586838, 0.0193893917480384, 0.019053486786784417, 0.0167325324706136, 0.01835104128946353, 0.020456784192415648, 0.01954489182903712, 0.018912836021836767, 0.02010614682506814, 0.016176441236129387, 0.01822048772831091, 0.01959308072305748, 0.02175934774271893, 0.019088168783425726, 0.018871401640424765, 0.018730393785960003, 0.01947784131550292, 0.019940934777759385, 0.019866494745532003, 0.01929264892615281, 0.019616757747124004, 0.019761199999264227, 0.021550763853154582, 0.01934987060789832, 0.01954485321097842, 0.017981605795761208, 0.021826189519514514, 0.020963298731327087, 0.018606396809977336, 0.02150624633660854, 0.019661344597438655 }

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    Returns: {0.01937508428706302, 0.021168685539810567, 0.021895895573083336, 0.023187212746951492, 0.019794952208657585, 0.02182338932300864, 0.02220049596584335, 0.02074318550854751, 0.018845847665087193, 0.019097778530388, 0.02085665383652962, 0.021629327744203716, 0.019541621022600007, 0.01920985515719669, 0.01752895033813984, 0.02104113527784017, 0.020250721781473337, 0.018455766618783568, 0.019118572348197842, 0.018763561050542856, 0.02160910353741412, 0.018161022952774903, 0.02211882494731268, 0.019476870442636563, 0.02152101484471944, 0.022423549195221645, 0.019022517447974157, 0.019488996510491796, 0.018884530609535873, 0.02178171174566624, 0.019154952420879126, 0.018370887105397055, 0.019349930043188177, 0.017355314203509935, 0.01895950647862866, 0.01988175126724003, 0.017403256767794813, 0.019227134910970733, 0.0206388612943138, 0.017036223585290642, 0.019796556513929087, 0.02059524300692907, 0.019893795581999375, 0.019834425924221837, 0.019745382963917292, 0.02037675128991539, 0.019827871238232687, 0.022052865869888985, 0.01980198570589984, 0.02168046907016116 }

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    {"17548841170256880534375606109879537117316914270864", "97013119995935614395455037224305803065408848177809", "00020454216846662885276921607600558443963684115542", "92405760447559184465104995875486026273159598974084", "72088602391379331256206177056122610553312572171228", "09493141430487328239850835158371609053142015904260", "52423850532973749888097307612428639835109625485317", "08046968522217859929695062523161022103550080164490", "92514021516308256424521150517237309844950512406019", "93705608579102690959911475139843440174175095812709", "67884851351472464814866609799341407622862389373764", "13032023437520760868943933007072373159181838884721", "26708341922113511081244505530890728059891153790744", "72146271125858468585972197235279652835735979103828", "61569189298842861731497598155226737947249374219679", "94627731297126637422564153232929795942902531904759", "08828544147591490607311860316841526043069563528506", "56422556136030143709252284285827220391015445992690", "35688956914207878183351725158240815335857992441692", "68520128297688785459100618717107793603449659803864", "31431207484939715732859793750198462139072809209420", "66461364589744167540233223989397552958970410382732", "35607296642759607615025784192529302260925165474921", "97164317555290839924425536284126691434684384746466", "38061169058111583490819387470763926989517007126943", "02223331023099265663488883513737406194624301358374", "71239082860781651405790539484388074332086469777925", "56764506253668634915444396747634219596118360690946", "93613630752795331695838711435701786516991129530463", "28950081857047434254024946388919320608803124955298", "29006742634361141292609895207409253582468317872508", "53061951740390830814342646548209821406242066627119", "72513089841667102833126315453447343214078970313610", "83313214962492219009525171316530342436259376391058", "19054884838750250152462455494929691306233905709901", "79341553497548136371511025010734311879059212034700", "18311883359283459062459851876759431054608117445429", "07947056492551214332194935506173162046829681963987", "53005413573784280416583721971211213560153085322679", "29612100800598124302004196539748940877560380949354", "78614739705446584787521776949311495502396988136009", "54874998385215316730522150262836745377884035893170", "93357364940097865223537910509365596199175947503203", "88594037795906876909179859040525807493401147106438", "01045359427082301257518531608487575502480495412479", "02247701717851574372922525040884433522050432688156", "23891156818719920412800460039854544809897098492080", "73025070279006415129706363676633248171906713381791", "30183034673254827936546419876013556868246533948920" }

    Returns: {0.0189960781733235, 0.01912850004308247, 0.01880692918559412, 0.018142103951710842, 0.02047938626916448, 0.019605606091977305, 0.020369573513778397, 0.01753871178517848, 0.02101342560643079, 0.02015315823622755, 0.020985347990677278, 0.02110816064806403, 0.01815504765746871, 0.019771597186463506, 0.019639990794978638, 0.020905413654076412, 0.020901457878029717, 0.01874455695084058, 0.02296325490906815, 0.02039162329573383, 0.020156022015646417, 0.020251847753972332, 0.017139117451685098, 0.02200009763299976, 0.019621100798118192, 0.020610428384727594, 0.020179331082361106, 0.014448620890396242, 0.01962530391595661, 0.02222399012781849, 0.01911665515078436, 0.01807891830027538, 0.021093739252830906, 0.01796002296178817, 0.021403772346043046, 0.02065740244342932, 0.019887282208537773, 0.01723192073200704, 0.019997042295181414, 0.020248746773138, 0.0208100331470016, 0.02223880419859411, 0.022231744496248183, 0.02272827462090815, 0.022792736748605845, 0.017959660800800886, 0.01914623946520331, 0.01861150087452713, 0.021274948186238676, 0.0224747711223064 }

  72. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111" }

    {"17409488245517115276142322168576189279543123341138", "74277931986502860248650900613893446066184963788291", "35984076361542097372601657541200146071777733599818", "26603801250947835120164061898414398808778383710734", "96510996834849925533374380880681989722828907815861", "24258626539246182119762952003918195325258677229419", "69825549125083939679976935766582544161633553282536", "18621462915036492934405963428875812574444429307787", "30382520372975343211325351222640703400531067500454", "95648216831484920706070567384926577457983022367155", "40260611173004830129038857708930747837100834501456", "20356667677191627276513995926532444279237315785832", "41159510645308913474636528103155221748236303528072", "25910850790534104859254139582796177190341753324129", "08745680774313630190429314820559328748143552689295", "94505880132227031337095583783793918280184860930087", "63565839483976458615519645425326826639456253566144", "62682551015176002433628234343684739800880514363921", "98234023198989135142538928701481935979801475550928", "24504405115908387269381033848015413735856908936069", "78941566666714061214952341523168827712604946036245", "88121498245299838698662382627578278020892820552767", "87816095890007255214864689835515584054721499030350", "76783644195574734088152324666290493119955560594634", "90539128818602490221544425042127795540341229822785", "83944698566072726471321638328601260546793478816387", "61723785858733108109249157334220127702410373959720", "28670818303620284183758170488136789555663008823065", "09722829448272584739519028314310407908140795382321", "04075905120989173307660289899942087873076421916033", "62214326054960827407601293851566889870791586394538", "23948513281646779641926315970261762534075531888017", "50590935427267220117591817866992665840378311257621", "61157485649843253832706801195363153403179035291261", "70152290518368861667049894987564868780956900135580", "17746707412183571476823027885971347137127534455141", "26633008138169801393936554050655189622505252067280", "06830643705207561818565926523212288874005995309951", "11233972330484392490574766309080151039589625763859", "30251577941785788423841304177213131515051221553892", "84275840944358410334067556098357904874023541664529", "12499376587897716501326057449061190421970933313569", "59883951362881981334392721761730602560720954325608", "81575792372793638106876512956154138509213352904857", "33030321108187289230282558124988271795034015342329", "49249044985323017198832933283402012107668058895732", "22002316877287959291308192024758100716930373043231", "02771307036319561510973081517179498001850892808514", "73616808657102835561493832337301487898979195896933", "14145763463834278901407349456898997084569362006516" }

    {"19735006518272452258698355058150734156417040610552", "58327852729763159895495252230872837541829689816375", "41012285467734491838797114352915567902319878444358", "02949835043525777440411540286814764987386280980496", "82847940748182214669381364522010387331456121918047", "74119810325032263361582193972132092745032978011474", "39967620962303519679275682463091876840379622730730", "73646740124463450201693791524413468870344671812123", "11108910977451678393139637520717067175481752175310", "00500786491480899799960638036942044369189118635091", "08226897789305639774358333610474271572270360989640", "29032247745313343521698841457302777020086450157327", "91140331583051025104064895622217478600213924154066", "81331058938984399697725232833857881351208655395354", "85035084358126022165017738351321942301486613879443", "54427756690709867320153565468158533287696463210587", "00373462011653495343770915400712377333915888024433", "67661481659687191676371279471824881620485944499453", "21743190738426987748783219374443513280903494439853", "81238985106181877282366965138076160310431589545744", "67752688919805029602292673605217115326681586946628", "81687897905826971751644996155607507956853707523049", "85800977447592322319730437808812749193620720053577", "44338644592442425323402372077617567908574256588285", "27673356944596929561783726910045636467639147500558", "86981560604786403410043610568676789451028670774622", "96564069629126470824100361798029897477539129611498", "69748258256193713206899391134824914394952167251807", "57429184481284673158542664614046675811511907634457", "26562965321634905650653326606200520561049402664072", "66851002138435087053563029937939302511833746719461", "28257784206505607244405066263175554899812779218297", "99006425351978491987969564744865149887345775133796", "53402498042615610504870817280119103232281875626474", "37054373805682681266243020510580138284572389162213", "85668935769577002593037615259535536685210268962588", "66167125249270049081001735695066236752566678645580", "04422865099938715199852310738859693119124680895046", "86733173134277336553609563329963551471799652237097", "69569935818961845346415217548385231320008528871086", "32227084743444605537219088809167865980546764018849", "46409291243997766793945469868267586824356626492429", "66225652957443492133733054512856018927384267630293", "99222949484634283378375914917625228615596268906406", "63541884473243251249506854191923222917509989801806", "84550860546293256357285489286888599429987831306634", "08376605207368794808572429201501400574775283597896", "09019160143479690755494209733770531264246035271149", "65987840290582629698395701207656328558801945677183", "63383596119439192607093873086830685398605638960599" }

    Returns: {0.019822077219581135, 0.019685357334949947, 0.020241510397750174, 0.019487588953693933, 0.019433489887318144, 0.02115703554914824, 0.01979009484304401, 0.019892288842269873, 0.019911513352435115, 0.020123572179120235, 0.020177489173925225, 0.01993306156100335, 0.020343525363755936, 0.020765582021766715, 0.02030569370294306, 0.020013806352440707, 0.019540678839282326, 0.018888158285886573, 0.01935020354888287, 0.02013129189606133, 0.02028749063375042, 0.019841299356846122, 0.01985553404479815, 0.020182144755134985, 0.019785147434485003, 0.020083575308508968, 0.020348195247569117, 0.019801160057446338, 0.0203650431137524, 0.020228395616162718, 0.020314024790093983, 0.01906873847929253, 0.019744555067732945, 0.020681514911670827, 0.02121864352124606, 0.020387187811144104, 0.01938186635845485, 0.01973420180801301, 0.020160487322600014, 0.020184902688463017, 0.01945440956312974, 0.020311044490485885, 0.01978535507560374, 0.019401708415520302, 0.020534246975936612, 0.019674837523074588, 0.020115291725409507, 0.019841284818164998, 0.019933086662012076, 0.020300607118238816 }

  73. {"10101001100010010101101001010000111000111111101101", "11010010000010010011110101000101110100100000010101", "01100000100111011111011010010010011010101101110001", "00100101100010000101100100100111110101001001000011", "10111011111011101110000111010101001101111110010001", "11110001100001110100011110111101100100110000100001", "01100111001101001111100000011011001011010001111000", "01010111101101110100000101000111100101101000101101", "11111000010101111011101110000110000011000001111001", "01001001001110000001110101011010101001000111100101", "11100010110111011001101111110010101010110110011010", "01110111011010001000100000111111000010010010100001", "11100001100001100110100011101100101001110101011101", "01110111100010011010010011110101010101011111110101", "10000010000001000101011100111001111000000100011101", "10110111011110101010101101100101000111000000011011", "00101110100101111110000101001001111110100111100100", "10011011000000110100100100000001001000000001000010", "10000000100011111010110000001100101110010100011000", "00001101100000110010001101000000111010010101111101", "10111110001001110101111101110110110001111100100000", "00100100000100110001011100110111010100100110110101", "00000101101101010101010111010100110100111100111011", "10100010000001101111111110101010001110011011111100", "11011101000111101100010110001011101110101111000010", "01000101101101100010111111110111010110100010001010", "01111010101111101010110010100111101010101001010101", "00000010011100100111110100011101001000000101111000", "11000001010110100010111111101001111110000010101110", "10011001110010000110000111111111100011001010101001", "11001010010001001100100110000111100001011111000111", "01111010011001011010000000110010111111110010001110", "01101011100011101100101100100000111101011100100011", "01010110000101111101010001001111011101001110101000", "11000101111010011101110100000111110011111100001100", "11011001011101101001111101101101110101001100011110", "00000101100011111100000110001010101000101100000110", "10000001011000110010010011110000001001001110100110", "01001000001111111111111011101101101000100110100100", "10111110101100011011001111010010011001101010101111", "00000101100111110001101111101010110000100111011111", "11001101100100000100000010100110100000011111101100", "01100010001011100110000111101101011010111010111000", "01101000101011111101000011011011010010010101110001", "10101010111100001001101011000000001100011000110011", "11101010110101001010000101101111010111011001100001", "10110100000011010000010100011100001001111100000011", "10110100101110001111110100111101110110100011110000", "10001001100001010001110010000100111101001101100101", "11001000100010110011001100001110100100100010000111" }

    {"80061205666551604868287435453895882156571522899684", "41150827997777680303186317429528901229910297859727", "99634889948597786115792718878122723368661407850066", "95446513652306028229106944745336643211405213159048", "21426072134124391353681582979239185536078514539272", "98197713858204768964703642708131243628595552509873", "39467090055643635188677327759624615716421455462158", "83923134692164356853268136557046971194723433349039", "76897427521529726397130844955072045363562177415879", "97155593874424690875711394300700640624028851517434", "45593737838936822834787510161377095979788388245350", "86598706941425194758525376204926764026939498366024", "72857733680671401129724043888636365537656812399211", "78153128779215167782113933172653176380640250184994", "87844483223628127613249862607459388577517414155187", "58749960152733411839446059674496892503981375392246", "89988562601562285397339020163627763674653116594276", "58370744709893091794468477804486495780897079779773", "84620015054354130576689561108727315451611792682995", "81692766850589031056570290566542862320216576095219", "95620636566372282109166529352415433733681768718385", "54317526435310519783984104392036062222409223824359", "73928951567884341606690602586020763333245351766495", "62554203861599258059651931565692616954430752830108", "20733954617539685711565954890307433228884761500889", "23894317585259161030530600693938634638250545255062", "57726166793488621347107365537976384868440837973273", "51261821305300107063342889573834955942229927169094", "07860075448644807919267142341287589458894677847377", "48513169657858327226679146685997886295923685308964", "20070536278845086215891422687610299190946545318006", "17049616910503796763898033014309632783376829823412", "87838304792744585209967766604566640724402944890745", "01505272657947451109741301910354895737487400680370", "57665661025355348762878505606980913576136384145070", "60404297066323204070580637781122975463104062058341", "35154788668771247358060517696687585827471254756227", "21300509220644984122135724920189888035435626907450", "65107644887005403381761360568551237549005868261259", "73689748385597045743591779492332538660509204642690", "30290212287712786699157821682613343534604843792803", "22463479906775428736419259177195859140225855274818", "80140883814649552751878350962958298825870908808011", "00367348629018908121229598536164275056316361079142", "14358887139378524823170406515046494129231092212486", "39611089982405316466456796425913151749134178011846", "53920742700922573212547551277559249560029399906440", "20686749959831145411491523798035147419212004753156", "75954838170748964450458290199085191099630364145993", "59163727373568897237870785374935996048453669352274" }

    {"44007990215036638232935614440620622471696603721582", "19963544065542672572607818231277124268085229854778", "58485439023186625896595837817038021487300689244263", "32575147435037622581282105858461017431253837472472", "47973278259791452837238900702348313231657622921777", "48927330019645438935887412642683957016713956978368", "14928100778687685980486624308474256867725427965361", "47882211606042489940457891684647092733339258615976", "89365944418204501637391032799577147622091012204313", "25331724396793945889152154830993401219381838088723", "93607208100745772735157287307920859965054629471717", "18027520466044312328013552498291101191875396286527", "06739935247778716332503274902549950208799988379964", "39533466602472087408417271002700379513003956328990", "22002240455863023096595450445639326706330945409941", "89477821832643929235713219898971139246324701661762", "10724282688718856814552227343077292703839562031875", "04408199723854454878245378120121291342293063011831", "86099132543971167984297592016249652007039898733254", "01882092092458069106464516221492983202601782382810", "23803229818394246298592682222538787603042843004527", "64829352482498983405639782659846410512471218710336", "52449513905908253627663960204122340798395683498506", "40649180581263382770408490651145463874933399558038", "15375736954345773273477466686196442090132945587555", "63476483024089766537618764351868538123707228883572", "72680181017549026794853134574904857799200165987261", "57858754828959954421635221934995208033354145507456", "69243676809536312819695414055379112936104848201981", "65529092827188818618924032570720704655620168574968", "31779397163133316340750076225066872407733284141447", "92367778608575995400448059001867033228554453552884", "47263725624515937534829615324262055147060726418414", "40149393994235854570450544464694381229739667199233", "60547490157930207256396129720519838635606426531227", "57083215885626105013497442900651760374625499971662", "22023912038835657107209715431075516063778462252560", "96304633511638017458891115856913540784124304917338", "14369001320781386897564725550226881976529172623153", "89521174830074980112700294379322752839518195170878", "99511509333739433712435741218848081953000173553584", "03601868516343032178274606458828700320268709555846", "69863186616168569659508346196273368598341985106963", "47577387215990128343752730076362372998127189943996", "09380385524692790443265489445070126681698068530082", "91784582718761761766902110241004209279572758733055", "56370486486380630254250761434812447465752193675489", "14878553243185221775989423280727582064961628939689", "76884176564258499379240482288122628138373109602711", "48141161597645907709583541515468528527887685843873" }

    Returns: {0.02217452151230649, 0.020258207263969114, 0.02055965150503883, 0.017781240646814255, 0.01842499604731691, 0.018677799274509126, 0.018433608740541094, 0.021210401385534313, 0.02244481297480222, 0.016086344647853797, 0.018664580961016954, 0.020372074911781078, 0.019183225731956816, 0.022722903240796465, 0.020100416363913066, 0.020521214414552326, 0.020132029603549366, 0.02007929058320577, 0.019002125349908455, 0.020586207682562696, 0.020688935460567392, 0.021131171769537105, 0.017960604021059, 0.023430358988867986, 0.01888561522799553, 0.019227704775576927, 0.020766115129742753, 0.019490532160433, 0.019746328684667448, 0.02150845678330772, 0.019908186606455415, 0.021846656911857106, 0.02237372986863473, 0.021868046873216827, 0.020786610023254954, 0.018954817321722498, 0.017833855272007353, 0.019486369762714974, 0.019748470757987743, 0.01755204981148654, 0.019188754151950857, 0.021375015112213427, 0.01963438757093355, 0.019260499385390754, 0.021975195048860204, 0.019111408685819006, 0.020320001528535463, 0.018227144347701785, 0.018771328095711994, 0.02152599701985801 }

  74. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111" }

    {"03329082669113583069277280392491704504024310661975", "10445907634409062230995597974696435769425381007563", "17268210081147475818717395003243710078637838853801", "67097833045320720500625074186905524162850839690523", "45035055548334016430795990775736522533375767694821", "50641004697492532623773076698176038407804409581191", "27245135862782743597627530861777809006139380439812", "14435957818395998431164725122231447243135696693874", "76854490334727692843824786102888859936966020451196", "06335815977677246790162300626457758302441250197101", "50628868684332138719222038922862732460558465544384", "19746417859958708675482692617124127358580798176840", "97816680042681867287784039941416853731493345684123", "95576590382920660328567951722815465240775287795773", "38355993579088834102352959049207075380340966056878", "65246654355993927963857389450640092514436353718121", "63940225263748193773039719559892100510447836436784", "63095269393494233197962348950276238055799698634886", "32190683771886275447387084517725055416308495370088", "06136831241281981438638479517755284148857351657946", "90338325967732470201618751806534450223138002720259", "22212465446937662714467288730401509837550534199144", "65655764092910537183310059157377066677193287654729", "57213076367107167578895919401239900227447776657875", "10000455701932238885668415784329029378789461608400", "55957651600183902197921277811020798908687387262834", "85852385116682033642800066319949348001913377507024", "51601910011071112226041154417114497570641229706524", "31044872036650767344985040621739226508880812421755", "83641763043075030321438223174662079612987803937863", "09311764133230202804338546186849061431034375674201", "06173394128309979259729354605987136594825657646685", "79916239025615111839210642024933735432190666187024", "21928479674763377757679116321994152622269010366167", "61445742093332772526071187910006643507944020135210", "95509881195503002096449774271479410544568585582753", "65048260441973620760446735515924692575019487438136", "29174801360994317237241571839082127595956634376864", "75512515735366029660925185118341672143635526013363", "85968069985801320792449691720112959931213534168192", "16330048948809087389975032696671597612528883166579", "78704027185677152474713152551843452245027505068639", "06350371422193796538787019919050099558027004748346", "22598878257906658127154679436125436247886625801622", "53432673682092111884484785533860465543444218486734", "82185159177890866802908492416455407894337474311531", "85803355392226503197317576238191745845356547047074", "39639389328704409046471281055719217548905404747067", "93182923621886207486371560351293098009723045254158", "00573997429181705279963612573330500962085731581015" }

    {"54648446673388035939784935327217141227830139986118", "35383133609430135527049891405213356842380005595642", "62828685237732670135061002678716257762631721906754", "39527577863939560953906345548877372251375542623896", "53702821996023775110910055872362967723390849107063", "07074919203737158313030991991305585382927681531432", "77319317098466923848668380838398734530552028841325", "83295798242651867687979579654153138763860728765441", "23043974990730758577666532193897594374340941049102", "61888281681673991917692372793454810506903779946340", "74046187854726080294242906590696994973931795299655", "66273425859397635535134895626412612417784122833945", "51132696821297091758736417649929556732264118197429", "26417239450855456755030878779641461108015764035947", "65127128033105380036825949351682032999739063317638", "07858149346657101120575557414555828102375956401488", "03502349770852194664797374181471523223412993667928", "08999837080307548952931814182503990279823324887243", "51112101747700614861287231916935188362807576986838", "33493801106912512236532877744386388001456781400522", "75333701394300664984895564674858007633337512107915", "77418406700637360056474204867152129532187434053690", "10313305517152964113069309218781784243615592552944", "95203973331864696614364395576479953906352850792908", "36742961447876928551411274284775210315871994899009", "21048298717040330416601847532110636704054991347971", "51969509697672112933688557609284354586750537973315", "46428757224866694864643203318697769648770023647275", "73113856789648511364114687111727147588937944083305", "06925202516162068338448826631998110010668994623975", "90410903064215647689061805733123815042925693407567", "42391117851634196619390450094643004099354759478316", "52202770339278539978728418303909095734542364885623", "41556042730495673584522925168711162280698486523484", "48162387611802752091790050169261902412750647942202", "27634313165339407611728256405596657487509656814742", "69776501752605612679059792526213401183931506890711", "47772185839727141653163940649676739844614648939101", "82953938126948691498002335785148044473613074075538", "40439845715382989582541628542726352541159645892853", "30261093726838434503336530096022290644415955263292", "17586463162525313004229662435229927106949358421718", "19983270526922324931570565361548855973995848058620", "09358814965339251981138111107232170469123510657216", "85769863835367565104376257158610496769986290226347", "07687106292524029513286918756011125358371918852795", "71295925310086444853503434874516375392164040843970", "99493001443710552033933203455315520577544258872571", "27925987528075784922496642036254184715111636246184", "42139875673167280881606621380004333672662153578403" }

    Returns: {0.019793557891246077, 0.019935048536895365, 0.01948763982204579, 0.019312492501428153, 0.020114963080998312, 0.020386666316620287, 0.02067784125920998, 0.019900224508331597, 0.019186592192710385, 0.020688902026637736, 0.019962146212165178, 0.02074759544956835, 0.020423846859492348, 0.019291064918463406, 0.019575587205263877, 0.019457632612614982, 0.01966924348789334, 0.019978740013429152, 0.020315674589512885, 0.020517142174638278, 0.020828129280789594, 0.02027312199536478, 0.020487810925819108, 0.019100650157678076, 0.021209631059534, 0.020219358959363845, 0.02030532353556084, 0.018787559872791158, 0.019697059822594884, 0.020308269152812072, 0.01987059667363323, 0.019930102554759067, 0.0190611858776716, 0.01959766108429742, 0.020737134107731273, 0.019771753538672655, 0.01885142444994463, 0.01987887472503683, 0.020316240932619693, 0.019972723141442463, 0.020761017637536204, 0.019892143181694123, 0.02008738751718028, 0.020251865760312425, 0.019761219316488835, 0.02064598607141051, 0.020514752404134837, 0.019988391283035752, 0.019926437607843565, 0.01954358571308324 }

  75. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111" }

    {"69557980194047938393354778965461317728316647647289", "63531439852511881642178474301674334719223165815264", "61727983158815963961781768034622107535565066433203", "60849333791222888282931780051925022259624646974488", "05870863796199027513414658165275979447053409041411", "08899784667709729808324267845688971470933617871626", "04776397614451930149579035503257953843568511014610", "50419296132466475973400054062753621475803136182879", "51591126014964740131603120792444535122472598126751", "60431247139074784341495505873836726724656962002174", "02466693868001481639812864982657657177248328977974", "06261944360306886100753637170015156713220109485163", "72114817485386936000119144649720847743146869592046", "49318244381217076541327209320429615452485314212616", "50357123939057205474207468498985006062806996083389", "64498947029550471220870430784859340961670649482180", "90941980509855732951939738899938798067366034218926", "07073415002716170491533302618296446067677233344450", "64268422451134974835667019798217646326725186510278", "12192741164090904658705067901285620585624044852003", "78840693803087665877802187058468059995782832648770", "35611584090218863755584371330246384506166267573082", "90155156500642553206148243817285967071242138252201", "72516278014013262286319221887648795569829543780018", "44442552116441791947937654814448982644269127507478", "19645280536691183529432691253434036815343510306400", "87352089572704800733388929891524667628442094423092", "72298007501431987363482801241338071297300703103121", "37743938673339398250127293982947439393160421942824", "06619435293513782312471182424229548616466031255949", "37381497231583130932792601171780468373484139236914", "37035491145966173281432477208001021138228671183635", "87510209622928220761260752019310850096002317242770", "78808093502158194826928807476365771137018776949491", "80893396754858297074354272646459067647243697255354", "06834131264958650199662805733967376809031616206340", "94033937404054274734970205031703142545851483672581", "84896307196448380153240544925113127879706487840296", "79171874795334499797050837282844195879347159680843", "73236320129052083343182474366477037646192473971880", "55913782236373908720169613355041660601516381203518", "21270216357213663971681273763967481681699672063485", "98739507829770413805414208933235982680212832875757", "46289403242650400484792377439387416693036337170687", "48905235743630067768210378586083251747355922161872", "05742073898765370108552384342126279100670967631592", "41051131223529497091072319354845484928295968275338", "73365830451153305694451866076847999531445401381947", "42060286957395221382177562991309354516278270103220", "13108329733452974464437510103765799584615427908955" }

    {"69557980194047938393354778965461317728316647647289", "63531439852511881642178474301674334719223165815264", "61727983158815963961781768034622107535565066433203", "60849333791222888282931780051925022259624646974488", "05870863796199027513414658165275979447053409041411", "08899784667709729808324267845688971470933617871626", "04776397614451930149579035503257953843568511014610", "50419296132466475973400054062753621475803136182879", "51591126014964740131603120792444535122472598126751", "60431247139074784341495505873836726724656962002174", "02466693868001481639812864982657657177248328977974", "06261944360306886100753637170015156713220109485163", "72114817485386936000119144649720847743146869592046", "49318244381217076541327209320429615452485314212616", "50357123939057205474207468498985006062806996083389", "64498947029550471220870430784859340961670649482180", "90941980509855732951939738899938798067366034218926", "07073415002716170491533302618296446067677233344450", "64268422451134974835667019798217646326725186510278", "12192741164090904658705067901285620585624044852003", "78840693803087665877802187058468059995782832648770", "35611584090218863755584371330246384506166267573082", "90155156500642553206148243817285967071242138252201", "72516278014013262286319221887648795569829543780018", "44442552116441791947937654814448982644269127507478", "19645280536691183529432691253434036815343510306400", "87352089572704800733388929891524667628442094423092", "72298007501431987363482801241338071297300703103121", "37743938673339398250127293982947439393160421942824", "06619435293513782312471182424229548616466031255949", "37381497231583130932792601171780468373484139236914", "37035491145966173281432477208001021138228671183635", "87510209622928220761260752019310850096002317242770", "78808093502158194826928807476365771137018776949491", "80893396754858297074354272646459067647243697255354", "06834131264958650199662805733967376809031616206340", "94033937404054274734970205031703142545851483672581", "84896307196448380153240544925113127879706487840296", "79171874795334499797050837282844195879347159680843", "73236320129052083343182474366477037646192473971880", "55913782236373908720169613355041660601516381203518", "21270216357213663971681273763967481681699672063485", "98739507829770413805414208933235982680212832875757", "46289403242650400484792377439387416693036337170687", "48905235743630067768210378586083251747355922161872", "05742073898765370108552384342126279100670967631592", "41051131223529497091072319354845484928295968275338", "73365830451153305694451866076847999531445401381947", "42060286957395221382177562991309354516278270103220", "13108329733452974464437510103765799584615427908955" }

    Returns: {0.020180055487440157, 0.019795452861300824, 0.020001703253786147, 0.020209923004882425, 0.019913712705646274, 0.01973540635530573, 0.020594033163248687, 0.020062706746414333, 0.0193801907146442, 0.0197950189254447, 0.019794635589221513, 0.019322538757175253, 0.01967752852398272, 0.01991353000468818, 0.020654055341063626, 0.02148339764875073, 0.018847315090911396, 0.02038701212939359, 0.020446661183906638, 0.018995348262653096, 0.020002513878289614, 0.02000359304440139, 0.019262439021848016, 0.01961756517297519, 0.019735836290788806, 0.02035724259076261, 0.020298027211150992, 0.0205643157875573, 0.01955811193160034, 0.020297666155758343, 0.019854325769147668, 0.021364377415088943, 0.01988424171484077, 0.020742440413803145, 0.020653509563351526, 0.020476164742849523, 0.020179944549117423, 0.020831648211210474, 0.019114324620532874, 0.019617961498354222, 0.020031823458652474, 0.019617489503781515, 0.019765825861177137, 0.020860998905507893, 0.019468625175311477, 0.01991349259408762, 0.018581069392981316, 0.02012071329476446, 0.02065348900428328, 0.019379997476163188 }


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