Statistics

Problem Statement for "TeamManagement"

Problem Statement

You are the manager of a newly formed football club and want to buy some players for your club. You identified that there are N potentially interesting players on the market and numbered them 0 to N-1. You don't have enough money to buy all these players, so you want to buy only K of them.

It appears however that buying players is not always easy. Some of the players are loyal to your club. To buy such a player you can just pay money for him. Other players are not loyal, and you can buy such a player A only if you have previously bought some player B, who is a friend of player A.

You are given a String loyalty, where the i-th character is 'Y' if the i-th player is loyal to your club, and is 'N' otherwise. You are also given a String[] friends, which describes which pairs of players are friends of each other. Each element has the format "A B", where A and B are the numbers of two players who are the friends of each other.

Friendship is symmetrical (if A is a friend of B, then B is a friend of A) and not necessarily transitive (if A is a friend of B and B is a friend of C, then C is not necessarily a friend of A). It is known that friends contains exactly N-1 elements and that for any two players A and B there exists a chain of players with numbers I0=A, I1, ..., Ik-1, Ik=B (k >= 1), where every two players consecutive in the chain are friends of each other (we'll call this property a connectedness of friendship relation). It is guaranteed that each player has at most 3 friends and that at least one player is loyal to your club.

A subset of K players is called possible if you can buy all players from this subset and only these players, in some order. You decided to choose some possible subset and to buy all players from it. If there are many such subsets, you choose one at random (all subsets have the same probability of being chosen).

You are now interested in the probability of buying each of the players. Return a double[] containing N elements, where the i-th element is the probability of buying the i-th player.

Definition

Class:
TeamManagement
Method:
getDistribution
Parameters:
int, int, String[], String
Returns:
double[]
Method signature:
double[] getDistribution(int N, int K, String[] friends, String loyalty)
(be sure your method is public)

Notes

  • Each element of your return value must have an absolute or relative error less than 1e-9.

Constraints

  • N will be between 1 and 50, inclusive.
  • K will be between 1 and N, inclusive.
  • loyalty will contain exactly N characters.
  • Each character of loyalty will be 'Y' or 'N'.
  • At least one character of loyalty will be 'Y'.
  • friends will contain exactly N-1 elements.
  • Each element of friends will be formatted "A B" (quotes for clarity), where A and B are distinct integers between 0 and N-1, inclusive, with no extra leading zeros.
  • The friendship relation will be connected (see the statement for precise definition).
  • Each player will have at most 3 friends.

Examples

  1. 5

    3

    {"0 1", "1 2", "2 3", "3 4"}

    "NNYNN"

    Returns: {0.33333333333333337, 0.6666666666666667, 1.0, 0.6666666666666667, 0.33333333333333337 }

    There are three possible subsets: {0, 1, 2}, {1, 2, 3} and {2, 3, 4}.

  2. 4

    3

    {"2 0", "2 1", "2 3"}

    "NNYN"

    Returns: {0.6666666666666667, 0.6666666666666667, 1.0, 0.6666666666666667 }

    All subsets that include player 2 are possible.

  3. 6

    4

    {"4 3", "3 1", "3 0", "0 2", "0 5"}

    "NNNNYY"

    Returns: {0.8571428571428572, 0.4285714285714286, 0.4285714285714286, 0.8571428571428572, 0.7142857142857143, 0.7142857142857143 }

    The following 7 subsets are possible in this case: {1, 3, 4, 5}, {0, 3, 4, 5}, {0, 2, 4, 5}, {0, 2, 3, 5}, {0, 2, 3, 4}, {0, 1, 3, 5}, {0, 1, 3, 4}.

  4. 6

    1

    {"3 0", "0 2", "0 4", "4 1", "2 5"}

    "YYYNNN"

    Returns: {0.33333333333333337, 0.33333333333333337, 0.33333333333333337, 0.0, 0.0, 0.0 }

    When you wish to buy only one player, it must be a loyal player.

  5. 7

    7

    {"3 1", "1 5", "5 4", "4 0", "4 6", "5 2"}

    "NNNNNNY"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

    Here you wish to buy all available players.

  6. 50

    3

    {"43 34","16 17","0 42","20 44","27 12","18 47","49 37","7 27","22 44","17 29","30 29","35 41","14 49","23 31","45 3","22 39","21 0","7 22","41 36","31 49","5 17","28 12","30 11","40 28","38 3","25 36","47 41","32 19","44 1","21 32","4 30","25 29","16 40","31 28","11 6","26 23","20 48","23 15","6 43","24 42","16 21","27 13","2 8","33 18","45 25","2 14","9 33","10 34","33 46"}

    "NNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN"

    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, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.0, 0.5, 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 }

  7. 50

    38

    {"34 2","39 35","11 8","1 10","18 44","6 34","21 27","15 45","5 44","41 12","7 45","27 8","22 0","40 9","20 42","6 8","22 10","4 33","4 30","4 11","38 33","36 26","29 42","45 1","28 5","28 15","43 1","12 43","47 46","25 32","2 42","26 40","19 47","20 17","25 41","14 28","23 13","48 35","19 9","10 49","15 13","31 39","31 14","23 11","37 20","47 21","12 16","24 26","3 13"}

    "NNNNNNNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNN"

    Returns: {0.3852419663273361, 0.9999674503006778, 1.0, 0.5628683880032659, 0.9341139836220763, 0.8453373911958488, 1.0, 0.5628683880032659, 1.0, 0.9288544947066052, 0.9340814339227541, 1.0, 0.9422324211280099, 1.0, 0.942264970827332, 1.0, 0.5254172464581859, 0.5628683880032659, 0.3450593625141388, 0.9728020137413981, 1.0, 0.9988282108244025, 0.6977434920944918, 1.0, 0.40495352174184296, 0.5835347345978892, 0.744305836974831, 0.9997748645796884, 0.9989014476478774, 0.5628683880032659, 0.5223521497720165, 0.8473744598784269, 0.3168496231016066, 0.6977760417938139, 1.0, 0.513699354702211, 0.40495352174184296, 0.5628683880032659, 0.38527180355171464, 0.705606956955735, 0.8551131508922687, 0.7921023579544684, 1.0, 0.9796537254487112, 0.62840720758842, 1.0, 0.5597083546940735, 0.9958607632361997, 0.2751914329191384, 0.5223223125476378 }

  8. 50

    40

    {"38 28","22 12","42 31","39 47","15 14","28 42","1 49","29 24","11 12","42 2","46 45","13 22","32 18","38 40","4 7","6 20","26 18","23 18","45 14","48 46","33 43","45 22","41 32","16 47","11 7","39 10","38 1","0 15","3 46","4 28","27 16","0 5","27 20","44 2","23 37","20 35","32 39","29 4","12 19","15 25","21 35","48 33","35 0","8 14","10 34","23 36","44 9","33 17","5 30"}

    "NNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN"

    Returns: {1.0, 0.7918701829409691, 0.9015516841561325, 0.6153099625134435, 1.0, 0.8175666422599299, 0.6174873964463548, 1.0, 0.6174873964463548, 0.43769891338286504, 0.8175657292897275, 1.0, 1.0, 0.6174873964463548, 1.0, 1.0, 1.0, 0.5471959946171276, 0.990832866196913, 0.6174873964463548, 1.0, 0.6174873964463548, 1.0, 0.9222258943912589, 0.4978234790372912, 0.6174873964463548, 0.6105990362686542, 1.0, 0.9999990870297976, 0.8175666422599299, 0.4978234790372912, 0.609482473711023, 0.9994175250108187, 0.8988082086976845, 0.49782256606708875, 1.0, 0.5638275727956791, 0.5638275727956791, 0.9717563538161241, 0.9999990870297976, 0.5973472737796783, 0.6170053481794462, 0.9893492896178855, 0.5471959946171276, 0.7297681238279745, 1.0, 0.9972410040481099, 1.0, 0.9669221765940004, 0.4796754573524229 }

  9. 50

    31

    {"25 18","37 25","24 36","46 36","43 34","31 22","31 47","37 33","41 27","16 40","19 39","12 14","6 22","40 49","14 27","38 40","3 39","45 8","33 4","12 7","49 37","16 0","17 25","2 47","16 44","9 2","27 48","31 20","9 30","8 33","18 9","23 20","21 24","17 21","41 18","42 3","14 42","26 6","45 10","11 47","5 22","29 1","12 13","45 43","35 49","6 15","48 29","28 30","32 4"}

    "NNNNNNNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNN"

    Returns: {0.3197545309774955, 0.21728227651258858, 1.0, 0.5360687863344133, 0.6246512586262987, 0.4358971900256634, 0.7095845320556733, 0.3587277315959626, 0.8403359143332851, 1.0, 0.33051292024081014, 0.484356249560017, 0.7551722710468591, 0.3587277315959626, 0.9639584604557861, 0.33652919861927766, 0.6786279685845679, 0.8195043984271235, 1.0, 0.15213134215817503, 1.0, 0.6306361973490862, 0.9076759470247557, 0.484356249560017, 0.4452492707098409, 1.0, 0.33652919861927766, 0.995206435949111, 0.30949196313240324, 0.4633402038901868, 0.648121386438302, 1.0, 0.2964822639767263, 0.9687997356242778, 0.20389860639099777, 0.4640233616084073, 0.27386625872101933, 0.9999508856142327, 0.41635083388041305, 0.33305657766750174, 0.8719849906437095, 0.9982896499851605, 0.7506680141159422, 0.44191112962385626, 0.3197545309774955, 0.7040460664873134, 0.12410503649315796, 1.0, 0.7273309629015656, 0.9630514814652833 }

  10. 50

    23

    {"16 28","3 49","23 2","9 42","10 29","40 35","26 40","1 48","26 7","48 18","18 38","2 29","21 14","46 7","27 6","38 6","18 35","20 3","16 42","7 29","42 46","33 24","43 3","37 12","6 39","26 43","8 0","48 45","12 28","36 44","40 33","0 23","49 22","30 38","32 8","34 17","41 45","47 11","13 37","44 41","21 11","16 47","23 25","1 15","31 19","2 17","47 31","4 10","5 15"}

    "NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNYNNNNNNNN"

    Returns: {0.29014225157449614, 0.576194802554197, 0.75935367802809, 0.46658876760771817, 0.17941920589287508, 0.11251695462722988, 0.4806826634271639, 0.999979409940366, 0.1407047462661214, 0.32455596249520635, 0.467353173571629, 0.28225368497723513, 0.21736411204080952, 0.0336750425313419, 0.04394948228868811, 0.2939256750322363, 0.7477228680923567, 0.38221327698520347, 1.0, 0.0907764254112221, 0.17831763770245823, 0.1287753804656957, 0.08786035821556248, 0.5316507822935782, 0.20204768143059737, 0.20085345797182763, 1.0, 0.18445604923083259, 0.42018134695022613, 0.9127573435734563, 0.29515335733791115, 0.25698710804891167, 0.05141595266345289, 0.5192478451215714, 0.14449846475367856, 1.0, 0.20204768143059737, 0.09887089260482274, 0.7581285694798694, 0.18445604923083259, 1.0, 1.0, 0.8516769316693134, 0.6830572120544505, 0.5192478451215714, 1.0, 0.9218890350211177, 0.5434077063445695, 1.0, 0.2336431279389093 }

  11. 50

    22

    {"10 44","15 41","18 42","0 26","1 47","6 19","6 9","44 29","16 34","11 13","30 13","27 32","2 30","4 35","37 1","29 40","8 14","15 34","27 15","48 46","47 10","38 34","49 8","0 4","40 24","42 16","17 37","9 29","42 11","31 36","39 17","21 36","41 49","5 44","9 31","20 47","8 48","25 2","19 13","19 3","45 1","14 22","35 2","5 23","7 18","28 25","28 12","43 46","21 33"}

    "NNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNYNNNNNNNNNNNN"

    Returns: {0.207482059058832, 0.763333313432123, 0.9807888640787132, 0.35281413065542644, 0.3838973336358318, 0.37017893178263106, 0.7486193535290817, 0.19364723512484028, 0.1603997755143468, 0.7783637025803909, 0.5979005218097364, 0.9543983665086511, 0.13348985635306343, 0.9878682221452709, 0.07268021541070124, 0.5706726808124469, 0.8049840591304763, 0.4846412408802704, 0.48697416026842755, 0.855329146118667, 0.2737963747955151, 0.15766534920653874, 0.025187469401888984, 0.1501635879494191, 0.16308643891721497, 0.5989871278971187, 0.08442391966279394, 0.2789771573907125, 0.32588779299557, 0.7459237345815373, 0.9331423812196258, 0.49462518060348426, 0.10224694615926544, 0.06342167480626171, 0.7075656441424767, 0.633315223231877, 0.29550610768146923, 0.8872302888461676, 0.27187988823480247, 0.1992205690950124, 0.40169498608905396, 0.36669671749435806, 0.9160596797497224, 0.012212377756815163, 0.6881679343737686, 0.3145321623461139, 0.03562814190359054, 0.6672731560533511, 0.07955956631282313, 0.23745925227172315 }

  12. 50

    28

    {"44 34","35 37","27 20","10 35","34 12","11 16","33 12","36 1","29 44","20 26","1 41","8 25","31 18","29 19","18 2","26 36","16 4","41 46","24 6","41 44","7 32","8 22","27 14","48 15","14 22","15 9","33 42","24 17","45 14","26 16","0 10","28 20","46 32","3 45","30 8","47 9","17 48","3 5","3 38","46 43","48 39","17 29","39 40","21 13","18 45","13 7","11 10","49 1","23 30"}

    "NNNNNNNNNNNNNYNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNN"

    Returns: {0.23761211544586924, 0.8845439963534212, 0.29628070129079853, 0.6765406656672907, 0.3994903828014442, 0.29628070129079853, 0.24324188184667206, 0.5387144593501724, 0.6241103600568697, 0.3058149104506508, 0.5538378973497369, 0.7157161647053119, 0.4717852944592136, 0.7685247458163548, 0.9915725413274805, 0.536074563288479, 0.8999997672843715, 0.9411799237878837, 0.6765406656672907, 0.4395371391246845, 0.9993579300740584, 0.34237813902416636, 0.7977189214096051, 0.15339142866301347, 0.5569535842673425, 0.27081335388337446, 1.0, 0.9962437445476042, 0.44909311845623356, 0.9821554406774458, 0.3599203181688072, 0.29628070129079853, 0.5387092795506997, 0.27197978466897965, 0.71583139647619, 0.31534581654996974, 0.8440350367641898, 0.13297573699350473, 0.29628070129079853, 0.47775617692963857, 0.20557250334228439, 0.9998104493671224, 0.11614912087167162, 0.3423580954522937, 0.998870653575837, 0.9284801815241958, 0.768499447375452, 0.12884668611818995, 0.8192210947859012, 0.3975722805358375 }

  13. 50

    23

    {"26 49","10 47","30 21","10 22","15 18","42 20","26 12","30 12","1 36","15 16","8 5","7 9","7 24","45 6","31 35","30 23","22 39","36 43","31 41","16 7","19 33","20 37","28 34","3 0","38 46","6 39","12 6","24 21","40 11","1 17","33 41","37 2","14 33","28 16","44 23","38 0","36 25","3 10","37 23","14 18","11 15","17 44","1 13","3 4","9 32","22 5","46 48","25 27","41 29"}

    "NNNNYNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN"

    Returns: {0.5180100060046726, 0.3396458179260208, 0.24095788571329224, 0.8444482187252174, 0.8746120031935765, 0.3920823910633352, 0.7873837681260205, 0.7971229727542992, 0.15307301494748915, 0.419475199631963, 0.7841554207216038, 0.4816697002076895, 0.8884882801895283, 0.1221228724535307, 0.7540859189757018, 0.9125297057442919, 0.8553014305564286, 0.4633327136974742, 0.9725443362830675, 0.23050922031531884, 0.31621689573133305, 0.7911363542141703, 0.7517448990372464, 0.8972920129829315, 0.7363473937179623, 0.09625731025434936, 0.46715082962109045, 0.03276959843584293, 0.4502521561321884, 0.15490985635592602, 0.9679371876466899, 0.20288973200971983, 0.16518667310374713, 0.5940326392074367, 0.17738057187486211, 0.07606877155630687, 0.21271051459643653, 0.6237751604477961, 0.29522193885397674, 0.7097556539543244, 0.19020302212902418, 0.4060596374996489, 0.11973036478720855, 0.07438438731609853, 0.6452522296860854, 0.313727430655392, 0.14891187039535891, 0.3112560197177937, 0.056398453495883016, 0.18348955735264816 }

  14. 50

    35

    {"30 27","2 31","28 31","45 27","10 8","21 33","45 49","41 39","37 31","29 25","0 28","3 32","22 26","18 43","0 42","12 11","25 19","11 33","5 40","5 14","34 32","42 10","13 40","35 15","3 37","37 7","49 23","16 3","38 9","6 47","46 18","13 25","21 49","29 46","36 2","47 12","27 40","44 12","26 14","42 18","43 48","1 44","24 13","35 48","9 28","33 4","41 34","20 9","17 29"}

    "NNNNNNNNNNNNYNNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNN"

    Returns: {0.9117934760853318, 0.39479319867116713, 0.7359571682113115, 0.9687775299118654, 0.47369002665631676, 0.8730749837809045, 0.39479319867116713, 0.5468971190753633, 0.3828392336501085, 0.8689989221875729, 0.7063518659771143, 0.8667321419997159, 0.9897153115748389, 0.9453961277614513, 0.717364779062428, 0.2699058638606209, 0.5299985136031269, 0.5003456945850732, 0.9798213888017914, 0.5094119169099156, 0.4736807429149331, 0.8030857060030768, 0.2709912630011062, 0.4658525025123501, 0.5193874966770695, 0.9280305900276845, 0.5145459756328741, 0.9188524137677685, 0.9999999500874119, 0.9118195304563119, 0.5040034387776686, 0.9998326430921527, 0.8591880040485098, 0.8662219355243163, 0.7038393162055292, 0.5126671659921979, 0.3995173752207759, 0.9951485962633639, 0.4736807429149331, 0.2629646200608874, 0.9826292713570723, 0.5025489859608867, 0.9609746451040293, 0.8704034624162704, 0.7279261329633413, 0.827563138675238, 0.8818374380946649, 0.7279261329633413, 0.7149775098869351, 0.8532448123601137 }

  15. 50

    39

    {"40 48","33 38","30 31","1 35","29 36","29 7","0 20","3 38","36 15","3 22","29 25","27 18","11 9","41 23","24 26","32 9","39 33","23 2","11 37","22 30","25 0","12 46","44 1","14 18","35 4","37 6","12 35","43 39","43 15","7 2","26 38","42 15","21 13","46 27","13 11","21 8","13 39","5 46","10 22","27 36","40 18","41 47","20 17","24 19","16 6","45 16","8 34","28 1","49 9"}

    "NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNYNNNNNNY"

    Returns: {0.8497998427989105, 0.9025966904209177, 0.9255762516679766, 0.9827823026042632, 0.5962386636340609, 0.6093330965742174, 0.8392958331266043, 0.9765869606657805, 0.7045037328730457, 0.8814150187100632, 0.5732186270234418, 0.9890024520236376, 0.9940409819584332, 0.9810353336867311, 0.5852019459510274, 1.0, 0.667754714074198, 0.40235775521022377, 0.9635343087460733, 0.43065003433877613, 0.6770862438601485, 0.8808209448255512, 0.9464223695583485, 0.8272054503341176, 0.7196336849032117, 0.9488286952048445, 0.8985622106337919, 1.0, 0.545225343322479, 0.9999804151466645, 0.7590410211281398, 0.45482557729619344, 0.5347200279932838, 0.9999804151466645, 0.42090330566211165, 0.9809465490182766, 1.0, 0.9379447393778284, 0.9998576833990949, 0.999998694343111, 0.7743877122018858, 0.6567571660978355, 0.8103663934362016, 0.8103663934362016, 0.545225343322479, 0.39598614959172107, 0.9995377974612808, 0.38822532504328255, 0.46547582054007186, 0.7667639816267963 }

  16. 50

    31

    {"4 39","49 9","8 23","8 39","14 23","9 18","42 36","49 19","21 41","16 27","21 5","1 29","24 38","44 6","42 20","13 15","43 28","1 12","39 20","12 44","3 26","25 38","31 37","8 3","10 49","15 20","5 3","31 40","12 7","19 34","25 45","2 38","33 47","25 43","15 0","2 11","24 41","9 23","24 31","2 33","32 19","1 41","14 17","46 30","46 32","35 36","22 43","34 48","28 16"}

    "NNNNNNNNYNNNYNNNNNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNYN"

    Returns: {0.4028183246368734, 0.6985182734342511, 0.8854335050484736, 0.7947063480652444, 0.5089704591792081, 0.5212881943146415, 0.31439345518976447, 0.4674013358578084, 0.9995944874793151, 0.8516272941707242, 0.4265813448896859, 0.4495520552871225, 0.9173972021638147, 0.4028183246368734, 0.6305606840242334, 0.7991681769426957, 0.458895186243524, 0.31763042864471935, 0.4340812722934727, 0.8629920286161318, 0.971204620342667, 0.4814204065717692, 0.4534265193916347, 0.9205807084656875, 0.9998259238705132, 0.9750186924733895, 0.4035114325660589, 0.2243938350791026, 0.6879278705560561, 0.3534573244128093, 0.21585753658554718, 0.9083081091635735, 0.661883337229246, 0.6025364528046718, 0.6200866739901076, 0.24997579509341117, 0.5059498106626827, 0.4643775782381082, 0.9993806558801199, 0.9939221878287965, 0.4643775782381082, 0.6778155663172548, 0.7514244588368704, 0.8962967889323733, 0.6263970665948029, 0.49781053522302654, 0.4413696730068033, 0.3012523393561889, 0.6660514298829433, 0.8397307112870978 }

  17. 50

    45

    {"45 49","49 19","23 40","2 4","45 23","28 30","35 42","9 13","19 30","31 6","31 34","33 3","2 17","6 42","11 29","13 16","42 26","39 40","7 21","46 1","8 28","36 21","35 15","15 37","27 14","6 11","4 15","41 44","48 45","24 41","41 4","39 20","1 29","28 37","38 33","9 24","48 14","18 2","32 9","21 29","1 5","34 38","5 0","26 47","10 17","25 33","25 12","22 7","0 43"}

    "NNNNNNNNNNNNNNNNNNNNNNNYNNNYNNNNNNNNNNNNNNNYNNNNNN"

    Returns: {0.8917493620640771, 0.9814573291749362, 0.999319535015594, 0.777658066345336, 1.0, 0.9067195917210094, 1.0, 0.9514601644457046, 0.7597958605046782, 0.9992911823079104, 0.7366600510348738, 0.9319251488517153, 0.7366316983271902, 0.9514601644457046, 0.783243549759002, 1.0, 0.7366316983271902, 0.9514885171533881, 0.7776864190530195, 0.8885455060958322, 0.7298554011908137, 0.9992911823079104, 0.7366316983271902, 0.9992911823079104, 0.9999716472923165, 0.9514601644457046, 0.9486815990927133, 0.819960306209243, 0.9778848880068046, 0.9999716472923165, 0.9058690104905018, 1.0, 0.777658066345336, 0.9992911823079104, 1.0, 0.9314998582364615, 0.777658066345336, 0.9283527076835838, 0.9999716472923165, 0.9440034023249221, 0.9918060674794443, 1.0, 0.9964842642472356, 0.9102636801814573, 0.778338531329742, 0.9385313297419904, 0.762943011057556, 0.7342500708817692, 0.804224553444854, 0.8941309895094982 }

  18. 50

    11

    {"19 24","16 22","1 36","13 29","45 1","42 43","22 43","31 11","5 18","43 29","3 48","44 33","25 5","39 8","20 36","8 45","46 35","27 33","3 42","41 2","44 3","32 28","12 32","11 8","45 7","48 40","37 34","32 7","14 18","25 1","46 44","16 37","19 17","20 10","39 23","31 15","47 46","13 18","49 33","9 42","2 15","38 48","47 24","26 36","19 21","6 22","29 4","9 30","41 0"}

    "NNNNNNNNNNNNNYNNNNNNNYNNNNYNNNNNNNNNNNNNNNNNNYNNNN"

    Returns: {0.0020444091089784067, 0.4661536714180249, 0.021210744505650525, 0.24388096995854391, 0.23249474700437278, 0.2316713044465898, 0.08455903231302175, 0.4197001533306832, 0.5183996819808052, 0.13620875688568346, 0.04690783122267017, 0.25009938099835316, 0.07075927082741784, 0.9006757907888012, 0.15466522800840476, 0.05182009199840987, 0.11264126299051624, 0.11011414617525128, 0.48131637230961444, 0.3459594525526719, 0.14469873360213525, 0.5660173774774263, 0.2983985461979669, 0.0707308762564598, 0.18141291385087166, 0.22939973876994724, 0.4243568629678005, 0.010449202112556066, 0.07075927082741784, 0.7489068090181157, 0.03577715940712134, 0.11684365949230502, 0.21824067238344025, 0.04829916519961386, 0.009682548696689164, 0.023709466749957442, 0.3443409620080641, 0.037764779374183655, 0.021608268499062944, 0.21807030495769208, 0.021608268499062944, 0.0076097450167528224, 0.3978647282639559, 0.6006587540462264, 0.1406383099551366, 0.8256857288886366, 0.09608722812198311, 0.10707592708274183, 0.09157249133965584, 0.010449202112556066 }

  19. 50

    34

    {"3 49","21 24","18 0","36 20","44 33","8 38","21 7","41 34","46 39","40 48","29 15","11 3","18 8","15 22","33 22","24 16","30 19","18 9","4 13","26 2","0 29","12 48","14 37","9 37","25 31","2 38","31 46","35 36","13 11","29 36","5 4","16 0","24 47","12 49","9 48","6 26","25 47","19 33","42 16","27 26","22 43","19 45","44 41","17 25","5 10","1 14","6 32","28 30","23 44"}

    "NNNNNNNNNNNNNNYNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNYN"

    Returns: {0.9998355354323952, 0.4075463875881643, 0.8544693587931975, 0.8701325207801665, 0.5197680183993786, 0.3565184840406348, 0.5452490924456397, 0.3854754855918864, 0.9604501439254792, 0.7391327721087532, 0.18044815455720986, 0.7803439784783762, 0.9735219639165043, 0.662800256036252, 0.7580235702174866, 0.6641290325519874, 0.9991079733424651, 0.48034526928984866, 0.9883462503065678, 0.9075094096359836, 0.42253103832115546, 0.7186507831049482, 0.9995863328881299, 0.48874875569570564, 0.9943668987343214, 0.896064923261258, 0.7713904545250915, 0.40769019917221017, 0.3485818158072773, 0.923966041028063, 0.6529203850262832, 0.7237847199812301, 0.28525673101235305, 0.9963641637326016, 0.3485818158072773, 0.42253103832115546, 0.7882653088342377, 0.5209627023821546, 0.9168933053201934, 0.27069318853972013, 0.5394216101582308, 0.6529203850262832, 0.5411642056460093, 0.5415191028708406, 0.9075094096359836, 0.48874875569570564, 0.5141326392311016, 0.953769966765401, 0.9966063807088985, 0.9332232853278015 }

  20. 50

    23

    {"47 38","41 23","36 42","41 44","5 8","9 19","31 12","29 11","29 3","13 40","31 48","7 46","49 0","4 35","36 46","6 0","43 5","4 33","0 26","23 24","48 24","35 7","18 17","47 49","46 5","9 44","22 14","45 43","25 34","27 33","48 17","36 31","25 30","33 26","28 24","20 39","15 30","25 14","12 21","49 29","41 30","21 2","26 32","20 37","16 28","13 11","39 40","42 10","1 12"}

    "NNNNNNNNNNNNNNNNNYNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNY"

    Returns: {0.8502931093002055, 0.258314897508198, 0.2687243184060336, 0.324684588178321, 0.40854381793446803, 0.5726400660592919, 0.35123546863793764, 0.5207032524386165, 0.23057622966344926, 0.2497747627948982, 0.19407725690148714, 0.5305172878364296, 0.6247752386300351, 0.3425391571164411, 0.23377579656602387, 0.26086033256194885, 0.2124587939631799, 0.8023434340358238, 0.3344780469215627, 0.09641407554286618, 0.0616568137070973, 0.6485257392857617, 0.08849412119834732, 0.8858412348544248, 0.9588944286958733, 0.46111994821267577, 0.7083190282716032, 0.2270169828389672, 0.5226525818094349, 0.7904779061772454, 0.6614853278678996, 0.9269164555930588, 0.28982969011661097, 0.5603673262067461, 0.17818220277819818, 0.3957301178332412, 0.8756219422448286, 0.023563870398764286, 0.22328561229899568, 0.12106099815499427, 0.2108026819200035, 0.8197184640391582, 0.47696489818208343, 0.30385926473645986, 0.4826778005572775, 0.12081881093068925, 0.7943094850249796, 0.54309559100936, 0.9840733607119441, 0.9869073833460583 }

  21. 50

    16

    {"17 26","23 42","16 17","21 4","34 17","25 32","2 15","28 7","14 15","29 27","20 30","33 27","18 9","40 41","45 11","16 43","46 9","12 15","40 9","12 36","6 46","8 47","8 31","45 23","33 46","37 30","11 40","25 28","42 2","31 32","7 41","39 13","19 5","7 13","36 48","14 4","2 10","26 14","34 0","4 38","49 43","36 1","24 31","18 20","6 5","38 22","35 45","3 0","39 44"}

    "YNNNYNNNNNNNNNYNNNNNNNNNNNNNNNNNNNNNNNYNYNNNNNNNNN"

    Returns: {0.6422598058817115, 0.09020138863644622, 0.4966856301574031, 0.24152277436475333, 0.4984459631393362, 0.16064742447926128, 0.34575229924751905, 0.5692455196481152, 0.022188192955032937, 0.8780417317968665, 0.18097622596241225, 0.6243847468101349, 0.4359091570031626, 0.2932821985532008, 0.8748182413028464, 0.7313760950961503, 0.2312097858882548, 0.44176633101893925, 0.4956377912683122, 0.05612072412664948, 0.2596359373296012, 0.18661801592206184, 0.18661801592206184, 0.2873477770911338, 0.017398851285033934, 0.1794585408411793, 0.507573884910393, 0.16064742447926128, 0.32410392962303247, 0.05612072412664948, 0.12039877858155512, 0.054778436148169685, 0.09819513613726416, 0.34575229924751905, 0.3903640626703988, 0.15987495001635832, 0.2549538332909229, 0.04201715802101136, 0.4984459631393362, 0.13399251154167724, 0.996556581482424, 0.7425996946453888, 0.30578083536297207, 0.10730033807117667, 0.04617125304445813, 0.43419335490203204, 0.6580700861536224, 0.006826856665091419, 0.09020138863644622, 0.037531353375259036 }

  22. 50

    20

    {"14 1","6 36","1 27","37 32","29 13","44 24","26 36","32 28","45 17","33 17","39 33","29 10","38 23","13 34","38 11","39 25","28 2","19 11","28 20","42 33","1 41","36 12","42 26","6 22","37 46","17 23","43 18","23 4","13 11","40 6","31 44","19 14","43 2","24 3","10 18","15 19","43 21","21 0","12 48","16 37","9 18","31 45","8 2","46 30","5 25","35 30","49 21","7 9","47 38"}

    "YNNNNYNNYNNNNNNNNNNNNNNYYNNNNNNNYYNNNNNNNNNNNNNNNN"

    Returns: {0.5959861149818234, 0.22980041978371657, 0.5815246134294478, 0.2690471613506087, 0.36554827831803505, 0.49051079916374996, 0.18931549909642875, 0.10471478575760551, 0.5003682759980068, 0.2779416266912297, 0.4133778778162489, 0.8246674080243023, 0.15252915187974592, 0.6207613426504299, 0.3813774104588493, 0.23491369905711423, 0.22612752174951178, 0.5503020365949525, 0.552119470749114, 0.6172109991678796, 0.22096504017539742, 0.5543901461843326, 0.06794936563301801, 0.9225190099749393, 0.6858642585012391, 0.29856624280854127, 0.42767462686124624, 0.08333670838198148, 0.5654795712799424, 0.4351280663910493, 0.16299658684284501, 0.2599303832564871, 0.8134692222098154, 0.821419583491137, 0.23838033417128357, 0.06075648343980544, 0.32092033053890767, 0.5853224079588782, 0.8610449249448983, 0.40230809066948414, 0.06794936563301801, 0.08333670838198148, 0.5891341682068527, 0.6619945250515877, 0.37800724623123805, 0.3152033454814315, 0.32836762515255136, 0.3384667948605038, 0.054756789267555894, 0.21621755529925002 }

  23. 50

    2

    {"38 0","7 25","29 7","20 48","20 32","17 5","27 38","43 20","21 22","33 6","10 3","15 1","19 34","41 33","25 49","5 9","37 27","13 45","0 16","10 13","49 5","41 24","22 24","27 24","8 44","31 42","30 23","10 15","28 6","28 46","11 30","42 19","3 4","30 41","25 43","16 12","44 18","23 36","49 6","14 1","15 8","40 47","2 12","46 42","39 34","8 28","7 40","26 32","40 35"}

    "YNNNNNNNNNYNYNNNNNNNNNNYNYNNNNNNNNNNYNNNNNNNNNNNNN"

    Returns: {0.2692307692307693, 0.0, 0.038461538461538436, 0.038461538461538436, 0.0, 0.0, 0.0, 0.038461538461538436, 0.0, 0.0, 0.3076923076923077, 0.0, 0.2692307692307693, 0.038461538461538436, 0.0, 0.038461538461538436, 0.07692307692307687, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.23076923076923073, 0.0, 0.3076923076923077, 0.0, 0.0, 0.0, 0.0, 0.038461538461538436, 0.0, 0.0, 0.0, 0.0, 0.0, 0.1923076923076923, 0.0, 0.038461538461538436, 0.0, 0.0, 0.0, 0.0, 0.038461538461538436, 0.0, 0.0, 0.0, 0.0, 0.0, 0.038461538461538436 }

  24. 50

    27

    {"15 38","6 39","44 18","10 4","28 41","34 21","8 37","42 6","33 28","49 47","12 33","20 5","11 15","42 47","45 31","12 46","8 22","22 18","23 30","41 34","25 21","35 39","44 15","45 12","6 48","22 32","20 27","18 42","0 9","40 39","49 5","8 45","23 35","10 29","17 31","44 4","24 29","43 13","13 25","17 1","10 0","16 5","2 30","40 3","40 7","36 49","16 19","14 35","26 14"}

    "NNNNNNNNNNNNNYNNYNNNNYNNNNNNNYNNNNNNNNNNNNNNNNNYNY"

    Returns: {0.4141065592325297, 0.14453961865230047, 0.13384633865714002, 0.31025553174182097, 0.5886175712638656, 0.6366676634205428, 0.9890835859932184, 0.31025553174182097, 0.9169666293045424, 0.17959368716804247, 0.7058032442293494, 0.2716253180651307, 0.7452016526738999, 0.6329575754209535, 0.49451553940369364, 0.6194867535607849, 0.6754494461180796, 0.3395695465641754, 0.9772859436067658, 0.2999733858103797, 0.3719300222805707, 0.7543435918251974, 0.9418382272764605, 0.5550059972075823, 0.352919756899695, 0.4205626072842472, 0.21319632165527447, 0.1607074778176515, 0.4346358355407772, 0.7918582646127509, 0.31725538115233143, 0.588708081036736, 0.42251679384966256, 0.5374513638467036, 0.5456318445425626, 0.8454395011838874, 0.2999733858103797, 0.4093542606438191, 0.2716253180651307, 0.9675164101101844, 0.7072248348440182, 0.4378599199130865, 0.9965299617649088, 0.28061759881991233, 0.8498489315089077, 0.8890613151101752, 0.32612162528577293, 0.8058798575739894, 0.44313494379050855, 0.6754494461180796 }

  25. 50

    32

    {"4 11","9 20","27 2","33 29","24 11","33 16","39 12","7 35","16 17","33 34","48 28","15 32","0 16","2 14","44 12","6 44","24 22","49 18","15 9","39 20","9 5","29 3","22 31","30 25","4 47","3 14","2 26","35 20","7 27","21 30","24 23","29 45","4 5","8 32","49 45","14 36","25 28","34 37","6 1","5 40","19 49","18 41","32 21","13 31","1 43","46 38","25 38","10 8","27 42"}

    "NYNNNNNNYNYNNNNNNNNNNNNYNNNNNNYNNNNNNNNNNYNNNNYNNN"

    Returns: {0.34599914815065813, 0.8481057684392337, 0.8819836046702744, 0.8989947903553552, 0.7831751612551028, 0.8387672846874121, 0.6222738708505292, 0.7741422732782159, 0.6078139045517978, 0.9127838343595687, 0.4859254840563093, 0.7203764942409512, 0.5251982402052855, 0.17764867812535168, 0.8954272417300746, 0.669995056341423, 0.7338470265046471, 0.34599914815065813, 0.8032477441689704, 0.4085983619891863, 0.9076636753073991, 0.5282067116348954, 0.6196765893702834, 0.8314935422690364, 0.8554663186817523, 0.7282107940425613, 0.42413806775476026, 0.8454601640114975, 0.4614646067007335, 0.986365757312924, 0.7940765663812077, 0.38800257334385335, 0.6635314130217445, 0.9346587960607649, 0.601317414499022, 0.7954289681492177, 0.43210333197775386, 0.28253824689942675, 0.49586832363358124, 0.6606694689685813, 0.40419985453309815, 0.8558618393487801, 0.40571056362016833, 0.40813564808179725, 0.5119122277315294, 0.8731623163609077, 0.5890048645846631, 0.37521833046370945, 0.2138238242148277, 0.8463260849285176 }

  26. 50

    19

    {"5 37","20 38","28 16","12 7","38 12","27 45","18 12","22 18","41 37","0 26","48 42","10 17","25 15","35 41","27 15","40 21","16 3","19 0","4 20","8 26","30 37","38 11","3 48","30 6","7 13","2 46","45 31","30 24","31 5","11 32","28 46","5 16","43 18","34 43","15 20","49 46","39 17","7 26","45 9","33 11","28 17","21 9","25 44","14 0","6 1","41 47","21 36","23 14","39 29"}

    "NNYNYNNNNYNNNYYNYNNYNYNYNNNYNYNNNNYNNYNNNNNNYNYNNN"

    Returns: {0.41814360111245985, 0.08964034213760663, 0.374379327376711, 0.3457720138290594, 0.5292640559726123, 0.45470469353649356, 0.25693061147213603, 0.5783166885816594, 0.15264269022665677, 0.42980072905100364, 0.12239658271284992, 0.3346404169191912, 0.6006414463821488, 0.5706120713429925, 0.45368744262508554, 0.44422028764141697, 0.6557939675036524, 0.34514931570070606, 0.4272836799724806, 0.45368744262508554, 0.5531496929759292, 0.6082254555172919, 0.1509946423566828, 0.374379327376711, 0.19783946938313013, 0.29102020505099113, 0.4256355843905325, 0.5495544301206401, 0.4866824233778352, 0.5097405156076094, 0.5524295900202131, 0.26385606859474176, 0.1152507093073587, 0.1152507093073587, 0.5404319078801214, 0.18347848084709328, 0.22255256433529258, 0.8584801520907498, 0.5831031210932952, 0.30341227298222806, 0.22255256433529258, 0.5116771116273344, 0.056211781871338684, 0.35889238424068204, 0.46535765806909, 0.36407234206355765, 0.5511341444574391, 0.18347848084709328, 0.16085035256182134, 0.20259845058853654 }

  27. 50

    34

    {"22 34","1 13","17 39","11 4","17 27","47 43","30 47","16 20","45 8","36 22","20 45","34 25","3 9","11 38","10 32","11 29","4 20","37 30","12 2","26 27","15 24","29 21","3 24","45 42","29 7","6 26","16 43","34 37","10 46","26 23","15 43","49 19","12 15","47 49","48 1","17 19","25 48","42 32","3 44","14 23","41 32","5 36","25 31","40 42","0 31","33 27","23 35","18 21","37 28"}

    "YNNNNYNNNNYNYNYNNNNNNNNNNYNNNNNYNYNYNYYYYYNNNNNNNN"

    Returns: {0.5881308433893467, 0.6301329271380851, 0.5134089512494586, 0.8328386977598435, 0.7241002594664936, 0.7194838549302919, 0.4536763370883976, 0.5431840759350106, 0.46789298274063895, 0.4810608166500808, 0.8021554104040161, 0.9786579010831209, 0.8762374424942664, 0.3590175297495882, 0.6317763897515649, 0.9767110068473969, 0.6424309236556918, 0.7379673704093026, 0.41650952470329217, 0.6158895427109266, 0.7842701936228522, 0.7236514573354385, 0.5851451161350831, 0.6834961212901484, 0.9242580422060971, 0.9364004546351345, 0.7815580887184942, 0.7400228165378779, 0.4918918220966493, 0.9314968045606865, 0.6258451305093382, 0.5881308433893467, 0.6280479034537894, 0.6493008567165588, 0.7179041908409476, 0.6317763897515649, 0.5855742210083639, 0.842116865444321, 0.8111359073202834, 0.6639383240736261, 0.6424270269601688, 0.6032550247205501, 0.7116535431428339, 0.7873479424180765, 0.4810608166500808, 0.804404737873885, 0.46715442576084887, 0.7484213233687257, 0.8179142339570921, 0.6191365873443226 }

  28. 50

    17

    {"13 24","13 2","2 3","25 31","8 39","20 15","42 31","29 5","12 35","29 8","28 24","37 24","41 30","20 41","11 7","23 20","5 31","47 27","14 36","46 34","41 47","7 38","23 2","44 21","46 12","36 19","36 39","45 46","40 8","14 27","29 17","43 37","4 49","27 45","44 33","13 49","38 44","6 23","3 21","48 43","25 16","22 12","32 38","18 32","9 45","26 11","10 5","7 0","14 1"}

    "NYYNNYYNNNNYNNNNYNYNNYNNNNYNNYNNNYNYNYYNNNNNYNNYNN"

    Returns: {0.11472711030336857, 0.4841346899945358, 0.6449291899625571, 0.28288384132068234, 0.06292846992032175, 0.6144260198098734, 0.401503750157427, 0.33986251076280527, 0.41539798710583575, 0.12975109171261157, 0.2112259919363868, 0.4282695003112087, 0.4025414808149024, 0.4437282525602019, 0.47441291731686586, 0.11269761622742103, 0.45336108769572603, 0.2301885720540089, 0.40576985740600213, 0.10350870379373256, 0.338162829267978, 0.39100701325478504, 0.13403325393180032, 0.4083012844535975, 0.41483650843804243, 0.2585121952119911, 0.3522992903873058, 0.5633674056415601, 0.13941343527836636, 0.6692035266996514, 0.14842900979755425, 0.36062654920648407, 0.2552897019178785, 0.3522992903873058, 0.11039459331184642, 0.5746796089721404, 0.31649015196209374, 0.6339011258384685, 0.5042397102351116, 0.2606197123827013, 0.13886225869027158, 0.4390944482641772, 0.12083471114309541, 0.2818219801313152, 0.3522992903873058, 0.3955836942826678, 0.34009578258691964, 0.702280280517259, 0.09444006782502745, 0.1923326484288238 }

  29. 50

    39

    {"29 26","31 9","3 6","43 27","45 23","1 38","33 6","47 10","1 36","37 26","13 40","32 48","45 41","2 37","45 25","9 18","44 37","20 27","10 23","39 40","34 41","21 47","22 6","41 20","35 34","40 19","28 7","7 32","27 24","19 18","44 7","28 14","18 22","36 42","42 33","47 0","30 9","1 43","4 11","39 11","17 0","44 11","12 4","49 29","34 8","39 5","15 42","25 46","16 15"}

    "NYNNYYYYYNNNNNNYNNNNNNNNNYNNNNNNNYNNNNYNNNNYNYNNYN"

    Returns: {0.8627393796779246, 0.7376312236019522, 0.6776650113582271, 0.631869415346656, 0.8785686884922982, 0.7129186037413362, 0.9304210723478279, 0.9726915470686193, 0.7323157454283438, 0.9538031134086091, 0.9955365643461878, 0.7200710923770614, 0.5939466703268285, 0.6100681707779572, 0.5752342067977405, 0.8898561182834005, 0.6023453377730641, 0.5816802450764393, 0.9902258847811257, 0.8152275791658377, 0.7299881823358619, 0.6685022467997346, 0.8230098831903672, 0.998986502148686, 0.597510021854291, 0.8780970447590807, 0.9504307385697045, 0.8841037129213798, 0.8529553737733359, 0.8319802988962051, 0.6466739793230734, 0.6466739793230734, 0.6793962065532099, 0.6905544625611966, 0.8709977215334148, 0.5882193842925203, 0.6636854590620592, 0.9957270175501771, 0.6810920506766376, 0.8007900571879131, 0.9008521495961852, 0.8097526364883894, 0.7304443515479657, 0.7929920803526604, 0.9991560714910185, 0.999835213403045, 0.5935648835129843, 0.9837908476099538, 0.6862072008237109, 0.5592145716847277 }

  30. 50

    3

    {"13 27","15 42","18 3","26 0","31 42","37 35","19 30","1 10","14 47","35 49","49 39","30 37","42 16","38 40","29 47","39 4","32 12","2 46","5 3","17 25","6 29","4 20","23 3","27 24","0 32","27 33","49 1","43 44","5 46","25 36","41 2","2 45","14 11","17 0","13 10","13 22","40 30","35 18","29 41","20 17","43 32","31 19","28 20","48 34","9 21","33 48","16 21","31 7","14 8"}

    "NYYNNNYNNNNNYYYNNNYNNYYYNNNNYNNNYNYNNYYNNNNNNNYNNN"

    Returns: {0.019251336898395754, 0.1689839572192513, 0.1689839572192513, 0.03529411764705881, 0.0010695187165775666, 0.019251336898395754, 0.1540106951871658, 0.0, 0.018181818181818188, 0.01711229946524062, 0.03315508021390379, 0.018181818181818188, 0.13689839572192508, 0.1689839572192513, 0.18609625668449203, 0.0, 0.018181818181818188, 0.002139037433155133, 0.16791443850267385, 0.0010695187165775666, 0.018181818181818188, 0.1689839572192513, 0.13689839572192508, 0.15187165775401068, 0.0010695187165775666, 0.0, 0.0010695187165775666, 0.019251336898395754, 0.1540106951871658, 0.02032085561497321, 0.02032085561497321, 0.0, 0.17112299465240643, 0.002139037433155133, 0.15294117647058825, 0.036363636363636376, 0.0, 0.17005347593582887, 0.15294117647058825, 0.0010695187165775666, 0.018181818181818188, 0.019251336898395754, 0.0010695187165775666, 0.018181818181818188, 0.0010695187165775666, 0.01711229946524062, 0.15294117647058825, 0.02032085561497321, 0.01711229946524062, 0.021390374331550777 }

  31. 50

    2

    {"40 27","24 36","22 1","26 3","46 31","12 7","34 39","44 46","20 0","12 16","0 11","42 34","7 17","26 24","5 41","38 28","24 25","44 22","43 15","2 36","28 26","32 33","21 12","46 37","25 41","10 18","2 35","13 16","49 27","42 15","32 28","20 7","30 17","25 16","0 10","45 6","40 20","19 49","43 27","23 3","14 48","44 13","29 33","31 14","13 45","47 42","6 4","9 40","32 8"}

    "NYNNNYYYNYYNYYYYYYNYYNYYNYYNYYYNYNNNNNYYYYNYNYYYYY"

    Returns: {0.0038461538461538325, 0.059615384615384626, 0.0, 0.0038461538461538325, 0.0019230769230769162, 0.059615384615384626, 0.06153846153846154, 0.059615384615384626, 0.0019230769230769162, 0.059615384615384626, 0.06346153846153846, 0.0, 0.06153846153846154, 0.06153846153846154, 0.06153846153846154, 0.06153846153846154, 0.059615384615384626, 0.059615384615384626, 0.0019230769230769162, 0.059615384615384626, 0.06153846153846154, 0.0019230769230769162, 0.06153846153846154, 0.06153846153846154, 0.0038461538461538325, 0.06153846153846154, 0.06346153846153846, 0.005769230769230749, 0.059615384615384626, 0.06153846153846154, 0.059615384615384626, 0.0038461538461538325, 0.06346153846153846, 0.0038461538461538325, 0.0019230769230769162, 0.0, 0.0, 0.0019230769230769162, 0.059615384615384626, 0.06153846153846154, 0.06153846153846154, 0.059615384615384626, 0.0038461538461538325, 0.06153846153846154, 0.005769230769230749, 0.059615384615384626, 0.06538461538461537, 0.06153846153846154, 0.059615384615384626, 0.06153846153846154 }

  32. 50

    30

    {"48 23","28 1","35 38","10 1","40 37","47 40","12 35","46 12","32 16","7 27","28 42","28 25","33 46","44 35","44 32","8 40","23 24","0 26","38 49","27 29","32 45","29 43","34 38","4 1","16 41","36 26","46 36","14 24","37 15","2 0","47 20","15 29","5 19","39 22","39 7","25 17","33 48","45 17","7 0","19 21","30 12","9 33","16 11","18 48","13 5","21 37","24 3","43 6","39 31"}

    "NYYNNYYYNNNNNNYNNYYNNNYYYNNNYYNNYNYYNNNNNNYYNNNNNN"

    Returns: {0.6482994165724826, 0.8451338808723838, 0.5810731856726016, 0.36825324499507206, 0.44134991363932363, 0.8484189075474149, 0.5281599566769964, 0.7268572993837695, 0.43860436245824796, 0.3847748065483596, 0.44134991363932363, 0.40084849955368984, 0.7790700081702717, 0.44525685384862934, 0.5281599566769964, 0.7571964982833528, 0.7743626187579394, 0.6146484888605139, 0.5899083890630699, 0.6650807524339528, 0.2994257699370101, 0.6970250351360499, 0.6037392989100663, 0.5899083890630699, 0.7079113174281217, 0.46790338538612164, 0.5302773737758958, 0.5098844391403479, 0.5984946371626767, 0.7966518126060799, 0.4076067487140146, 0.34655007220451683, 0.9211444632313814, 0.7395073262406093, 0.5821867578046684, 0.8026851581732787, 0.5778187332317282, 0.9403877578262746, 0.678952738476357, 0.6693152399957616, 0.8468229479271572, 0.40084849955368984, 0.5281599566769964, 0.5281599566769964, 0.5238239669203568, 0.519486672848396, 0.7876773044591392, 0.5886025286476502, 0.6500266771358414, 0.3522080810553544 }

  33. 50

    40

    {"30 25","27 5","5 0","10 2","42 18","23 5","10 46","22 38","1 3","21 13","20 6","28 46","10 48","2 39","24 8","24 22","41 2","43 0","4 24","17 6","47 18","35 48","27 30","4 25","34 37","13 35","38 13","15 31","31 37","44 11","19 4","37 18","35 34","38 3","7 43","48 45","36 42","19 44","11 12","40 22","11 17","16 23","36 14","12 32","9 6","14 33","41 26","34 29","49 36"}

    "YYYYYYYNYYYYNYYYNNYYYYYNYYYYYNYNYYYYYYYNNNYYYYYYYY"

    Returns: {0.7804390681759132, 0.7804390681759132, 0.9552487901859044, 0.7804390681759132, 0.7804390681759132, 0.9885954886226093, 0.8065523537307098, 0.7374647284152532, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132, 0.8375966031943896, 0.7742939730029463, 0.7804390681759132, 0.7804390681759132, 0.8107124816113205, 0.7281485496617228, 0.7742939730029463, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132, 0.947419331323384, 0.9363049701084188, 0.7804390681759132, 0.7804390681759132, 0.787142040901594, 0.7804390681759132, 0.7804390681759132, 0.7374647284152532, 0.7804390681759132, 0.7734026845236441, 0.8065523537307098, 0.7804390681759132, 0.947419331323384, 0.7804390681759132, 0.7804390681759132, 0.8107124816113205, 0.7804390681759132, 0.7439706142212265, 0.7374647284152532, 0.7790874855731434, 0.7804390681759132, 0.947419331323384, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132, 0.7804390681759132 }

  34. 50

    34

    {"17 20","8 49","20 12","6 30","28 42","2 43","22 19","16 7","12 21","27 10","1 13","22 41","38 1","38 5","28 34","18 30","33 17","41 1","32 17","22 47","8 43","47 37","13 6","49 47","49 40","29 3","29 18","5 44","7 26","23 19","15 45","10 43","7 13","38 36","37 45","4 9","24 14","15 33","30 35","41 25","29 48","31 42","42 25","39 48","9 28","23 0","46 9","11 23","5 24"}

    "YYYYYYNYYNYYYYYYYYYYYYYYYYYYYYYYYYYYNNYYYNNYNYNYNY"

    Returns: {0.664851358956221, 0.6809506120466848, 0.664851358956221, 0.664851358956221, 0.7332401637864067, 0.8624411929228659, 0.6398801247100567, 0.664851358956221, 0.664851358956221, 0.8510422335443079, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.7198633318586891, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.6809506120466848, 0.664851358956221, 0.664851358956221, 0.6943430449837482, 0.664851358956221, 0.664851358956221, 0.7505010191466486, 0.7198633318586891, 0.7198633318586891, 0.6773785884017238, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.664851358956221, 0.5692380635843102, 0.6398801247100567, 0.8624411929228659, 0.7198633318586891, 0.664851358956221, 0.6579910193660841, 0.6594490204140798, 0.664851358956221, 0.5692380635843102, 0.7198633318586891, 0.5609881161490055, 0.7198633318586891, 0.6398801247100567, 0.664851358956221 }

  35. 50

    40

    {"7 44","23 5","3 7","22 14","31 39","28 26","20 34","7 29","21 24","30 28","46 16","30 46","39 16","37 45","36 9","17 46","20 12","39 1","2 44","47 12","20 9","43 37","3 1","2 41","3 8","14 11","43 41","19 43","6 19","6 4","4 35","11 17","23 27","44 38","48 16","37 13","0 23","14 12","15 27","32 48","5 48","42 18","47 18","21 36","0 33","49 2","41 25","15 10","35 40"}

    "YNYYYYYYYYYYYNYYYYYYYYYYNYNYYYYYNYYYYYYYNYYYYYNYYY"

    Returns: {0.7863340346049288, 0.7798394202587287, 0.7863340346049288, 0.8153136290464302, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7455884925906274, 0.7863340346049288, 0.7863340346049288, 0.7916554894132062, 0.7916554894132062, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.9504643090885836, 0.7863340346049288, 0.7863340346049288, 0.7455884925906274, 0.7863340346049288, 0.7455884925906274, 0.7863340346049288, 0.9504643090885836, 0.7863340346049288, 0.7916554894132062, 0.7863340346049288, 0.7455884925906274, 0.7863340346049288, 0.7863340346049288, 0.9504643090885836, 0.7863340346049288, 0.9504643090885836, 0.7863340346049288, 0.8153136290464302, 0.7455884925906274, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7863340346049288, 0.7852797030500871, 0.7863340346049288, 0.9504643090885836, 0.7863340346049288 }

  36. 50

    1

    {"15 35","2 11","21 32","48 37","24 27","29 46","28 7","13 12","21 30","0 38","22 5","42 31","41 15","27 37","37 40","40 16","22 40","9 28","9 30","17 45","25 44","19 20","43 14","38 47","44 43","42 16","23 42","11 3","15 3","6 14","3 27","10 35","6 10","32 33","10 13","5 8","29 13","4 7","5 26","45 31","43 19","49 41","35 36","31 9","22 38","30 39","2 34","1 17","19 18"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY"

    Returns: {0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018 }

  37. 50

    50

    {"44 3","4 31","20 22","47 20","37 26","19 49","15 42","10 12","37 11","2 9","24 38","32 35","45 3","33 3","22 36","17 7","27 19","37 2","35 19","49 2","12 24","5 7","6 10","28 1","24 14","15 13","25 34","32 41","21 40","29 48","43 33","33 26","23 15","31 18","4 45","1 34","42 26","1 40","39 30","22 34","14 40","10 48","6 39","46 6","4 28","48 0","35 5","16 46","45 8"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

  38. 50

    14

    {"7 23","22 46","14 49","45 26","27 33","42 8","6 41","3 40","17 12","49 19","34 4","27 4","1 24","20 49","4 37","20 48","45 1","36 26","34 17","30 6","43 23","35 2","26 42","8 32","35 9","25 5","14 44","12 45","29 32","15 7","13 48","25 13","47 7","14 32","24 18","6 20","18 16","48 3","35 30","23 9","0 41","42 28","10 11","39 19","40 31","13 11","21 11","38 24","34 46"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY"

    Returns: {0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28 }

  39. 50

    50

    {"39 9","24 6","37 25","23 35","9 19","18 28","42 10","23 24","8 44","15 44","13 38","5 22","12 16","36 18","3 5","47 38","21 37","36 45","46 18","25 41","20 25","36 14","45 2","37 0","20 49","8 19","4 8","10 9","49 28","16 6","24 4","38 35","47 17","20 39","33 2","5 33","11 46","34 13","31 14","10 32","4 26","40 22","16 7","27 19","43 23","35 1","29 26","48 14","30 47"}

    "NNYYNYNNYNNNYYNNYNYYNYNYYNYYNYNNNNNYNYYNNNYNYYYYYY"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

  40. 50

    1

    {"14 28","23 10","25 14","13 37","34 20","42 15","13 21","22 27","32 47","43 45","49 36","0 21","4 47","2 39","17 13","18 34","0 27","4 39","17 34","6 32","14 39","22 44","38 26","20 23","33 21","25 18","9 20","22 5","38 33","36 44","47 15","1 25","8 45","40 6","12 1","36 7","31 48","49 31","28 16","41 32","11 24","46 16","49 11","41 30","42 35","16 43","31 19","10 3","29 38"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYNYYYYYYY"

    Returns: {0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.0, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145, 0.020408163265306145 }

  41. 50

    1

    {"4 47","24 4","27 31","7 14","23 40","31 40","30 21","2 48","6 5","21 35","47 44","32 0","36 17","43 19","0 13","30 3","44 33","23 4","13 14","7 33","28 1","8 25","39 3","24 10","32 49","23 30","26 38","45 16","5 11","27 37","45 46","7 42","39 16","47 15","26 49","33 34","34 19","0 11","28 19","2 10","36 46","41 1","29 49","21 12","40 22","9 20","11 25","34 18","31 20"}

    "NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNYNNNNNNNNNNNNNNNNNN"

    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, 1.0, 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 }

  42. 50

    1

    {"39 5","40 3","37 26","34 3","36 6","33 6","47 40","45 33","49 32","2 3","35 42","26 38","44 26","7 27","33 41","12 4","43 28","48 38","7 37","46 48","10 48","11 22","17 37","39 46","14 44","22 21","47 39","20 28","43 23","9 43","6 9","4 40","42 25","25 24","21 47","31 19","20 24","14 15","35 15","12 49","11 16","21 18","19 4","19 0","29 35","1 14","30 13","7 8","41 30"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY"

    Returns: {0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018, 0.020000000000000018 }

  43. 15

    11

    {"10 5","8 5","14 7","2 4","8 12","11 7","4 7","11 0","1 14","12 9","13 8","0 3","6 11","1 12"}

    "NNNYNNYYNYYYYNY"

    Returns: {0.6531049250535332, 0.657387580299786, 0.5588865096359743, 0.728051391862955, 0.8650963597430407, 0.7152034261241971, 0.6702355460385439, 0.9764453961456103, 0.9036402569593147, 0.6702355460385439, 0.734475374732334, 0.728051391862955, 0.841541755888651, 0.5931477516059958, 0.7044967880085653 }

  44. 22

    19

    {"14 6","11 6","3 14","17 5","10 8","19 17","20 18","21 8","14 20","4 9","10 4","7 1","17 6","13 15","8 1","13 10","21 18","16 3","15 2","7 0","12 5"}

    "NNYYNYNNNYYYYNNYYNYNNY"

    Returns: {0.8062015503875969, 0.9987080103359173, 0.8281653746770026, 0.8307493540051679, 0.82687338501292, 0.8488372093023255, 0.8501291989664083, 0.9767441860465116, 1.0, 0.8436692506459949, 0.8798449612403101, 0.8294573643410853, 0.8281653746770026, 0.82687338501292, 0.8475452196382429, 0.8436692506459949, 0.8281653746770026, 0.9780361757105943, 0.8475452196382429, 0.8074935400516796, 0.8281653746770026, 0.8449612403100775 }

  45. 47

    2

    {"14 26","28 43","46 20","35 10","22 3","27 1","35 11","36 2","15 6","24 13","16 25","27 15","8 2","45 46","18 3","30 44","35 9","26 43","17 37","42 40","33 9","11 29","3 4","45 42","11 15","34 9","46 44","38 42","17 23","36 7","21 23","30 17","0 1","1 16","13 21","20 19","43 41","23 18","12 33","24 27","31 37","39 24","12 2","26 34","31 32","41 5"}

    "NNNNNNNNNNNNNNNNNNNNNNNYNNNYNNNNNNNNNNNNNNNNNNN"

    Returns: {0.0, 0.1428571428571429, 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, 0.1428571428571429, 0.0, 0.1428571428571429, 0.1428571428571429, 0.0, 0.0, 0.1428571428571429, 0.0, 0.5714285714285714, 0.1428571428571429, 0.0, 0.0, 0.5714285714285714, 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. 26

    10

    {"23 11","1 5","10 3","5 2","12 3","19 11","16 6","8 21","11 18","16 22","8 5","15 21","22 25","24 20","15 7","13 8","19 17","6 20","21 12","15 16","12 14","23 1","9 3","6 0","4 7"}

    "NYNNNNYNNNNNNNNNNYNNNNNNNN"

    Returns: {0.3218416874574733, 0.7820367430256294, 0.22454071217963256, 0.2236334769789068, 0.10705375368564296, 0.6346110229076889, 0.8895441143116353, 0.33114084826491264, 0.6241778180993423, 0.06055794964844641, 0.06055794964844641, 0.29417101383533684, 0.4699478339759583, 0.2129734633703788, 0.1431163529144931, 0.7434792469947834, 0.7820367430256294, 0.5023814924019052, 0.0975277840780222, 0.27942844182354276, 0.41846223633476975, 0.7457473349965978, 0.36244046268995234, 0.41936947153549553, 0.14561124971648898, 0.12361079609888859 }

  47. 31

    3

    {"7 4","19 27","13 22","13 23","29 10","28 24","14 13","6 12","12 30","1 3","6 5","14 15","24 7","21 7","26 30","29 17","25 17","2 17","20 11","30 15","8 1","16 14","26 10","3 2","9 19","12 11","15 4","9 25","0 28","3 18"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY"

    Returns: {0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712, 0.09677419354838712 }

  48. 21

    6

    {"16 1","18 16","5 4","19 11","3 0","11 6","19 3","19 20","16 6","5 3","14 6","12 20","9 14","20 2","12 13","1 15","8 5","10 18","4 17","0 7"}

    "YYYYYYYYYYYYNYNYYYYYY"

    Returns: {0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.34094510690255375, 0.2885719481464162, 0.2885719481464162, 0.34094510690255375, 0.2885719481464162, 0.2885719481464162, 0.15382017509677082, 0.34094510690255375, 0.15382017509677082, 0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.2885719481464162, 0.34094510690255375 }

  49. 20

    12

    {"5 0","11 5","9 7","2 18","1 4","19 7","10 5","3 0","9 4","13 4","0 6","2 6","10 13","16 18","15 12","12 17","17 3","14 6","12 8"}

    "NNNNNNNNNNNNNYNNNNNN"

    Returns: {1.0, 0.4183006535947712, 0.6405228758169934, 0.869281045751634, 0.8954248366013072, 1.0, 0.8954248366013072, 0.3856209150326797, 0.21568627450980393, 0.6405228758169934, 1.0, 0.4771241830065359, 0.5163398692810457, 1.0, 0.4183006535947712, 0.21568627450980393, 0.1633986928104575, 0.6993464052287581, 0.3856209150326797, 0.1633986928104575 }

  50. 7

    5

    {"6 4","0 2","3 2","1 3","3 6","2 5"}

    "NYNYNNN"

    Returns: {0.5714285714285714, 0.5714285714285714, 1.0, 1.0, 0.4285714285714286, 0.5714285714285714, 0.8571428571428572 }

  51. 39

    39

    {"6 1","36 32","12 23","11 35","23 9","11 24","30 5","27 31","0 24","14 7","9 10","28 4","18 33","25 24","37 26","0 26","27 14","1 10","17 28","5 15","30 11","33 34","26 19","13 9","33 2","8 25","6 37","21 32","17 38","19 16","20 19","4 8","31 8","32 4","7 2","22 29","36 29","10 3"}

    "NYYNNNYYNYNYYNYNNNNYYNNYYYNYNYNNYNNNYYN"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

  52. 50

    42

    {"14 28","24 37","41 12","11 24","27 33","45 26","12 9","36 0","29 41","33 20","24 43","25 37","23 42","25 46","45 9","6 26","25 42","42 3","12 44","0 41","9 28","7 33","8 27","32 35","28 49","13 34","29 23","40 6","46 30","40 13","4 45","32 18","11 17","15 17","10 3","2 37","20 0","15 48","35 39","38 21","17 19","19 22","14 39","23 16","47 15","13 38","35 1","2 31","5 14"}

    "YNNYNYYNNYYYYYNYYYYNNYYYNNYNYYYNYYYNNYYYNYYNYYNYYY"

    Returns: {0.9646860877394745, 0.784104784929249, 0.9597601509750864, 0.8148834235293549, 0.7846677942650331, 0.8179297284270561, 0.837643242252075, 0.8142565276866289, 0.7840462298925726, 0.8148834235293549, 0.8148834235293549, 0.8155004462789968, 0.8148834235293549, 0.837643242252075, 0.814420443815888, 0.8148834235293549, 0.8148834235293549, 0.837643242252075, 0.8148834235293549, 0.8108694719678433, 0.8148831425259364, 0.8148834235293549, 0.837643242252075, 0.8148834235293549, 0.964675151390212, 0.8376344020364211, 0.8148834235293549, 0.9639900118929761, 0.8179297284270561, 0.8148834235293549, 0.8376939975452149, 0.7803645003186579, 0.8407234270484291, 0.9993036355553959, 0.8148834235293549, 0.9640536098018124, 0.78467284473188, 0.9950104729214625, 0.8148834235293549, 0.8442279118174211, 0.8108694719678433, 0.8148834235293549, 0.8149884808344581, 0.7846624779841416, 0.8148834235293549, 0.964680756269209, 0.810919718416955, 0.8148834235293549, 0.8148834235293549, 0.8148834235293549 }

  53. 42

    24

    {"25 12","3 8","2 32","27 4","26 12","19 13","3 38","28 14","34 40","32 37","30 18","21 12","21 39","32 13","30 41","15 1","19 1","8 5","19 27","38 1","29 34","4 30","25 22","28 17","38 16","24 25","28 39","13 17","2 20","10 5","3 35","40 39","33 14","31 11","23 8","0 4","5 7","36 23","31 14","29 9","2 6"}

    "YNYYYYYNYYYYNYYNYYYYYYYYYYYYYYYYNYYNYYYYYY"

    Returns: {0.5618437807865608, 0.7149843678855163, 0.5904091683311168, 0.7523654269650448, 0.5618437807865608, 0.7523654269650448, 0.5618437807865608, 0.4156761504614017, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.542376844160542, 0.5904091683311168, 0.5618437807865608, 0.39263250378012216, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.6605764873615517, 0.5618437807865608, 0.5904091683311168, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.5904091683311168, 0.5904091683311168, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608, 0.542376844160542, 0.5618437807865608, 0.5618437807865608, 0.4156761504614017, 0.5618437807865608, 0.5904091683311168, 0.6605764873615517, 0.5618437807865608, 0.5618437807865608, 0.5618437807865608 }

  54. 13

    13

    {"3 2","9 10","4 5","8 7","1 7","8 5","6 12","12 10","9 5","0 10","4 11","3 1"}

    "YNYNYNYNYNNNY"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

  55. 7

    5

    {"4 6","1 6","5 4","6 2","3 2","1 0"}

    "NNNNYNN"

    Returns: {0.4, 0.8, 0.8, 0.4, 1.0, 0.6, 1.0 }

  56. 19

    19

    {"0 14","15 4","6 0","7 11","8 7","4 3","1 17","0 9","8 2","2 18","15 18","14 8","7 10","13 9","12 6","16 15","1 3","13 5"}

    "YYNNNNYNYYNNYYNYYNY"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

  57. 34

    29

    {"1 28","14 11","20 4","13 27","13 15","30 1","19 12","22 19","0 19","31 22","9 22","11 25","13 18","30 32","30 11","27 2","8 26","16 31","3 18","18 29","16 14","14 20","33 21","0 5","6 9","9 24","29 8","8 21","21 20","17 16","12 23","10 0","7 32"}

    "YYYYYYYYYYYYYNYYNYYYNYNYYYYYYYYNYN"

    Returns: {0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.8482057796125755, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.8512840055043929, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.847968667301789, 0.8514025616597862, 0.849687731554991, 0.86492643167143, 0.8512840055043929, 0.849687731554991, 0.8512840055043929, 0.8480829893087752, 0.9792653752514026, 0.86492643167143, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.849687731554991, 0.8480872234571821, 0.8480872234571821, 0.8480872234571821, 0.8493362972372182, 0.8480872234571821, 0.8293130094209802 }

  58. 1

    1

    {}

    "Y"

    Returns: {1.0 }

  59. 2

    1

    {"0 1"}

    "YN"

    Returns: {1.0, 0.0 }

  60. 2

    1

    {"1 0"}

    "NY"

    Returns: {0.0, 1.0 }

  61. 2

    1

    {"0 1"}

    "YY"

    Returns: {0.5, 0.5 }

  62. 2

    2

    {"1 0"}

    "YN"

    Returns: {1.0, 1.0 }

  63. 2

    2

    {"0 1"}

    "NY"

    Returns: {1.0, 1.0 }

  64. 2

    2

    {"1 0"}

    "YY"

    Returns: {1.0, 1.0 }

  65. 50

    20

    {"0 1","1 2","2 3","3 4","4 5","5 6","6 7","7 8","8 9","9 10","10 11","11 12","12 13","13 14","14 15","15 16","16 17","17 18","18 19","19 20","20 21","21 22","22 23","23 24","24 25","25 26","26 27","27 28","28 29","29 30","30 31","31 32","32 33","33 34","34 35","35 36","36 37","37 38","38 39","39 40","40 41","41 42","42 43","43 44","44 45","45 46","46 47","47 48","48 49"}

    "NYNNNNYNNNNNNNNNNNNNNNNNNNNNNNNNNNNNYNNNNNNNNNYYNN"

    Returns: {0.37145911277391774, 0.7899518973810796, 0.5189738107963655, 0.39978621058257613, 0.4323890967397114, 0.6167824692677712, 0.9529663281667557, 0.8375200427578835, 0.7222646407574254, 0.6083263342750248, 0.49824387264258996, 0.39543406887073373, 0.3035046193784836, 0.22505153852027182, 0.1609528899748034, 0.11069328853936011, 0.07286019699167745, 0.04562113461097961, 0.0269909139497595, 0.015175230968924147, 0.0087233717645262, 0.00668091929449488, 0.008818813468733255, 0.015652439489959535, 0.028346186149499908, 0.04856073910055736, 0.07820493242727344, 0.11909215850958232, 0.1728449263190044, 0.24047491792013442, 0.3220775750171795, 0.41654577384133773, 0.5210735282889212, 0.6321294953042682, 0.7465068336260212, 0.8618767656715278, 0.9773230510804001, 0.7724669771703443, 0.6089944262044743, 0.48690539818279, 0.40619989310529125, 0.3668779109719783, 0.36893945178285104, 0.41238451553790945, 0.49721310223715354, 0.6234252118805834, 0.7910208444681988, 0.7067076429716729, 0.4422768572955639, 0.20670764297167288 }

  66. 50

    40

    {"0 1","1 2","2 3","3 4","4 5","5 6","6 7","7 8","8 9","9 10","10 11","11 12","12 13","13 14","14 15","15 16","16 17","17 18","18 19","19 20","20 21","21 22","22 23","23 24","24 25","25 26","26 27","27 28","28 29","29 30","30 31","31 32","32 33","33 34","34 35","35 36","36 37","37 38","38 39","39 40","40 41","41 42","42 43","43 44","44 45","45 46","46 47","47 48","48 49"}

    "NNNYYNNNNNYNNYNNYYNYNNYNNNNNNNYNNNNNNNNNNNNNNYNNNN"

    Returns: {0.46861992527138674, 0.7509884078341623, 0.9022943919090246, 0.9726088652128486, 0.8471602631317952, 0.7693926070995373, 0.7360651119135551, 0.7297539748434901, 0.7465719123410273, 0.7961345935552644, 0.9013708228436024, 0.6635725467181425, 0.6385233612672898, 0.8173038565289928, 0.6644376688783087, 0.641889530049095, 0.7421785796852396, 0.686709473095015, 0.6173672010002813, 0.7692039183080097, 0.6299703854291228, 0.6748013700818292, 0.9193158384880871, 0.8265477915829488, 0.7816411841922075, 0.7633425917615185, 0.7599024687511486, 0.7687711363957909, 0.7965512301846711, 0.8593605515974531, 0.9831100221524076, 0.9194983930536221, 0.8867349031422892, 0.8718496394228351, 0.8660541699265989, 0.864199229060292, 0.8637399472917858, 0.863661134756235, 0.8636704587797435, 0.8638006515922071, 0.8644494564069758, 0.8668508341246894, 0.8739273263033795, 0.8913388605817533, 0.9283727041861773, 0.9982461021042407, 0.9708562923099037, 0.9005568355913092, 0.7493472324752402, 0.46738424678746904 }

  67. 50

    45

    {"0 1","1 2","2 3","3 4","4 5","5 6","6 7","7 8","8 9","9 10","10 11","11 12","12 13","13 14","14 15","15 16","16 17","17 18","18 19","19 20","20 21","21 22","22 23","23 24","24 25","25 26","26 27","27 28","28 29","29 30","30 31","31 32","32 33","33 34","34 35","35 36","36 37","37 38","38 39","39 40","40 41","41 42","42 43","43 44","44 45","45 46","46 47","47 48","48 49"}

    "NNNNYNYNNYNNNYNNYNNNNNNNNYYNYNYYYYYYNYNNYYNYNNNYNY"

    Returns: {0.8547657550269042, 0.9841520606671548, 0.998789341732534, 0.9999428231208384, 0.999998757024366, 0.8694589699958112, 0.8897120149753704, 0.8770249626796566, 0.8794748676541694, 0.9183004545561894, 0.8884031616328225, 0.8858625194370315, 0.8881060904563087, 0.9141128696454164, 0.8747428594157269, 0.8776290488377556, 0.9441381890590799, 0.9241014218398277, 0.92210644594734, 0.9219809054083112, 0.9219771764814094, 0.9219771764814094, 0.9219784194570434, 0.9220244095554995, 0.9228248858637624, 0.9315978078881719, 0.880210709229467, 0.8685118225627423, 0.8918586338951997, 0.8685118225627423, 0.880210709229467, 0.8694589699958112, 0.8694589699958112, 0.8694589699958112, 0.8694589699958112, 0.8794040180430343, 0.8685590556368323, 0.9019404092621572, 0.8793033370166845, 0.8784046656333396, 0.8910966898315892, 0.8787216244199965, 0.8686025597840206, 0.9099302566371792, 0.8887400080296226, 0.8869799545319513, 0.8887400080296226, 0.9099302566371792, 0.8686025597840206, 0.8787216244199965 }

  68. 50

    50

    {"0 1","1 2","2 3","3 4","4 5","5 6","6 7","7 8","8 9","9 10","10 11","11 12","12 13","13 14","14 15","15 16","16 17","17 18","18 19","19 20","20 21","21 22","22 23","23 24","24 25","25 26","26 27","27 28","28 29","29 30","30 31","31 32","32 33","33 34","34 35","35 36","36 37","37 38","38 39","39 40","40 41","41 42","42 43","43 44","44 45","45 46","46 47","47 48","48 49"}

    "YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY"

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

  69. 6

    1

    {"3 0", "0 2", "0 4", "4 1", "2 5" }

    "YYYNNN"

    Returns: {0.33333333333333337, 0.33333333333333337, 0.33333333333333337, 0.0, 0.0, 0.0 }

  70. 1

    1

    { }

    "Y"

    Returns: {1.0 }

  71. 50

    39

    {"2 31", "17 36", "39 42", "23 32", "29 45", "20 46", "28 38", "29 37", "32 37", "28 44", "5 22", "1 31", "39 49", "5 17", "2 35", "24 44", "3 14", "22 40", "5 6", "20 42", "11 36", "9 21", "26 42", "38 41", "40 44", "19 48", "4 18", "0 31", "19 23", "22 35", "13 21", "35 39", "17 18", "10 14", "33 37", "10 19", "3 47", "9 14", "12 21", "23 24", "2 7", "16 46", "6 15", "43 47", "13 27", "8 40", "15 25", "15 34", "12 30" }

    "YNNYYYYNYYNNYYYYYYNNNYNYYNYYNNYYNNNNNYYNNYYYNYNYNY"

    Returns: {0.7462137117320802, 0.7028145289069521, 0.9298119347767253, 0.7462137117320802, 0.7487416218408114, 0.7562141537645071, 0.7462137117320802, 0.6912421420433965, 0.7578732407025572, 0.7462137117320802, 0.7800799659790643, 0.6767052884564533, 0.7462137117320802, 0.7462137117320802, 0.7935979429692165, 0.9837778235792866, 0.817384454706068, 0.9837778235792866, 0.7456709443973356, 0.9346534767298722, 0.7667600744845977, 0.7462137117320802, 0.7582888118766762, 0.8389452601958968, 0.764655300440159, 0.7331590550393495, 0.7462137117320802, 0.7462137117320802, 0.7437363076192637, 0.7439430315112134, 0.7462137117320802, 0.9442689888935717, 0.7446708289833612, 0.7044283253023851, 0.7331590550393495, 0.7724914967769639, 0.9117414901949285, 0.9464943658125133, 0.7914455001506301, 0.7493349872453949, 0.7674544127409717, 0.7462137117320802, 0.8252352699336367, 0.7462137117320802, 0.7888614849513357, 0.7551735391004382, 0.7651863436952152, 0.7462137117320802, 0.6949516788933064, 0.7524907961702665 }

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