Statistics

Problem Statement for "TripleJump"

Problem Statement

The triple jump works as follows. The athlete runs down a runway until he reaches a designated mark. He then makes three consecutive jumps and lands in a sand-filled box. The length of the triple jump is the sum of the lengths of the three consecutive jumps. The winner of the competition is the athlete with the longest triple jump.


You are taking part in the competition and jumping after all your opponents. Since you are the last to jump, you already know all your opponents' results. They are given in the int[] opponents, where opponents[i] is the length of the i-th opponent's triple jump in centimeters.


You have already made the first of your three jumps, and it was first centimeters long. You ask yourself a question: "What is the probability that I will take first place? Second place? And all the other places?". You know that each of your two remaining jumps will be between lower and upper centimeters, inclusive, in length. The lengths will not necessarily be integers, and all possible lengths between lower and upper will be equally likely. Return a double[] containing exactly N + 1 elements (N is the number of opponents you have) such that the i-th element (0-indexed) is the probability of you taking (i+1)-th place. Note that your place number is equal to one plus the number of opponents who had longer triple jumps than you.

Definition

Class:
TripleJump
Method:
getProbabilities
Parameters:
int, int, int, int[]
Returns:
double[]
Method signature:
double[] getProbabilities(int lower, int upper, int first, int[] opponents)
(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

  • lower will be between 1 and 1000, inclusive.
  • upper will be between lower and 1000, inclusive.
  • first will be between lower and upper, inclusive.
  • opponents will contain between 1 and 50 elements, inclusive.
  • Each element of opponents will be between 1 and 3000, inclusive.

Examples

  1. 1

    2

    1

    {1,2,3,4}

    Returns: {0.5, 0.5, 0.0, 0.0, 0.0 }

    Your first jump has length 1, and the two subsequent jumps - any lengths between 1 and 2. So your triple jump will have a total length between 3 and 5. This guarantees you at least the second place with an equal chance of getting the first one.

  2. 10

    10

    10

    {1000}

    Returns: {0.0, 1.0 }

  3. 1

    1000

    666

    {1000,2000,3000,2000,500,100,700,666,667,668,669}

    Returns: {0.0, 0.22222222222222227, 0.0, 0.7225553882210538, 0.05470936401867332, 5.125245365485975E-4, 5.010015019513148E-7, 0.0, 0.0, 0.0, 0.0, 0.0 }

  4. 3

    7

    5

    {9,9,19,19,19}

    Returns: {0.0, 0.0, 0.0, 1.0, 0.0, 0.0 }

    Now the length of your triple jump will be between 11 and 19, and thus you are inevitably fourth. Note that the probability to have a triple jump with length exactly 19 in this case is zero.

  5. 1

    10

    1

    {5}

    Returns: {0.9753086419753086, 0.024691358024691357 }

  6. 1000

    1000

    1000

    {3000,3000,3000}

    Returns: {1.0, 0.0, 0.0, 0.0 }

  7. 1

    1

    1

    {1,2,3,4}

    Returns: {0.0, 1.0, 0.0, 0.0, 0.0 }

  8. 1

    2

    1

    {1,2,3,4,5}

    Returns: {0.0, 0.5, 0.5, 0.0, 0.0, 0.0 }

  9. 1

    10

    5

    {1,2,3,5,10,11,12,19}

    Returns: {0.22222222222222227, 0.6234567901234567, 0.05555555555555558, 0.043209876543209846, 0.05555555555555558, 0.0, 0.0, 0.0, 0.0 }

  10. 498

    760

    629

    {316,561,509,370,649,444,326,180,830,445,843,927,236,855,257,223,108,973,448,325,227,640,168,782,601,710,182,835,837,385,79,211,597,565,292,207,374,920,935,898,493,896,776,222,969,793,522,84,771,151}

    Returns: {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, 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 }

  11. 278

    831

    683

    {665,180,717,49,301,894,275,551,671,168,167,188,917,417,15,640,255,405,396,873,678,712,212,443,991,632,274,884,863,536,590,152,405,203,803,635,779,270,476,676,634,745,125,954,735,455,600,12,641,177}

    Returns: {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, 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 }

  12. 484

    598

    512

    {612,579,389,623,684,456,315,369,220,258,515,593,451,932,984,587,161,39,690,412,648,911,967,239,74,96,916,765,577,241,811,950,612,62,844,518,998,192,401,654,126,35,392,811,551,379,577,811,806,405}

    Returns: {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, 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 }

  13. 79

    944

    444

    {195,492,553,189,608,335,158,473,401,939,658,588,199,226,375,933,726,683,545,49,758,847,653,374,403,693,112,97,326,234,980,971,498,541,993,825,454,745,304,141,766,768,186,276,601,174,367,689,156,558}

    Returns: {0.8978375488656487, 0.006680477129205831, 0.004492632563734111, 0.01509706304921643, 0.002678338735006225, 0.03310234220989672, 0.006880283337231563, 0.014817067058705558, 4.41043803668717E-4, 0.0017107153596845892, 0.0025974807043335213, 0.0033900230545624854, 0.004741220889438291, 4.757927094123371E-4, 6.735941728758243E-4, 0.0022887500417654305, 3.5751278024664934E-4, 0.0017140566006214053, 2.405693474560877E-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, 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 }

  14. 197

    458

    205

    {348,30,252,398,407,670,306,481,846,30,227,447,778,830,677,762,626,539,49,370,455,888,453,306,331,640,517,450,946,497,210,116,427,234,791,167,203,464,637,599,684,298,269,864,826,963,316,121,489,194}

    Returns: {0.18323277697039092, 0.04155106354868551, 0.1736909323116219, 0.08631699475932542, 0.0674094625739492, 0.056135406115588427, 0.013446661088357459, 0.10763934763142058, 0.03540024368403283, 0.040163826132910585, 0.141982648522482, 0.008374803658196428, 0.007655495368535492, 0.024661998502664373, 0.00173955168009865, 0.0052480145623229335, 0.005350772889417321, 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 }

  15. 356

    757

    428

    {556,48,679,312,123,784,513,406,806,3,347,914,631,699,127,505,336,660,921,688,472,138,402,167,903,703,166,935,968,695,753,171,319,316,74,754,860,328,486,988,978,989,217,731,506,947,513,962,404,256}

    Returns: {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, 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 }

  16. 220

    613

    431

    {136,976,598,89,785,564,472,240,526,275,395,312,66,912,899,570,954,469,184,652,17,835,441,994,367,99,436,220,390,984,542,161,520,413,735,300,570,386,34,557,138,444,874,80,308,333,241,997,39,77}

    Returns: {0.9486043936833518, 0.002418273993357034, 0.007640062415425142, 0.0056458766324158915, 0.01338953311449087, 0.016859934347260186, 0.0029038711807781725, 0.002508918801675586, 2.9135831245308275E-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, 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 }

  17. 711

    875

    845

    {633,796,295,792,801,147,444,707,12,249,619,649,877,546,229,558,323,105,749,816,145,350,179,423,104,874,597,172,863,911,702,760,442,120,766,228,54,533,881,757,480,918,170,763,526,795,565,590,99,280}

    Returns: {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, 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 }

  18. 813

    902

    885

    {106,365,740,374,476,143,692,35,983,603,4,936,875,535,356,212,172,371,760,600,723,530,902,407,456,887,826,258,110,903,322,354,334,564,366,978,874,241,660,763,222,435,797,969,187,670,730,322,120,602}

    Returns: {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, 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 }

  19. 4

    879

    318

    {787,667,565,622,776,590,78,135,323,297,367,219,321,663,239,791,664,996,525,462,423,928,552,711,728,916,468,375,408,328,356,504,186,726,704,707,917,582,868,990,312,737,485,613,755,11,283,23,792,551}

    Returns: {0.7068408163265306, 0.005227102040816223, 0.051260081632653165, 0.008570122448979589, 7.712653061224817E-4, 0.03548473469387747, 0.050029714285714344, 6.079999999999419E-4, 0.0024189387755102487, 0.00654432653061221, 0.012054857142857145, 0.009874285714285724, 0.004778448979591898, 0.0010475102040815587, 0.007689795918367381, 0.00200097959183676, 0.0014870204081632865, 0.017373387755102, 0.0013302857142857283, 4.408163265305909E-4, 0.01694889795918364, 0.003426612244897931, 0.008276244897959195, 0.002716734693877565, 0.005495510204081677, 0.0039477551020408175, 2.945306122449365E-4, 0.007199346938775442, 0.005170285714285683, 0.004181551020408181, 0.003341714285714281, 0.001089306122449063, 0.0059343673469387515, 0.0017534693877551133, 0.0028231836734693427, 4.702040816326747E-4, 5.100408163265513E-4, 5.851428571428396E-4, 2.6122448979482016E-6, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  20. 151

    390

    306

    {474,666,207,843,819,335,634,434,854,229,152,99,417,642,871,408,410,323,206,497,974,10,856,655,819,483,264,585,271,153,703,733,63,548,147,426,472,511,291,931,334,57,884,703,622,11,436,794,938,892}

    Returns: {0.1098019992647187, 0.08193133873706701, 0.018565851438175046, 0.11914182174681817, 0.02773060695716123, 0.04745190035188446, 0.05842859893909419, 0.008088093695838794, 0.04545613697239187, 0.09369583865828668, 0.0, 0.08687698044502024, 0.16605976786120702, 0.05777209782741899, 0.0, 0.049552703909245266, 0.010110117119798367, 0.009217275607919961, 0.004201607114721395, 0.004201607114721395, 0.0017156562385112206, 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 }

  21. 938

    941

    938

    {2678,234,2517,2755,858,144,2603,2177,1944,1969,1184,1674,7,2434,1219,1580,1178,1401,1321,2604,272,2211,1343,2427,310,895,2634,1416,2246,1589,1740,2989,1682,2163,2727,2446,55,1293,2943,1340,1476,1836,2310,2255,653,559,139,593,2769,2327}

    Returns: {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, 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 }

  22. 453

    975

    868

    {1153,2066,1984,91,2171,271,1215,456,1206,1439,1443,1922,1195,1130,1180,1693,1328,1751,2509,2526,1495,79,2021,1625,1846,2611,1355,314,1692,102,1316,2837,1554,924,724,63,2394,573,2599,1722,1158,1728,2953,773,2922,1801,374,1495,469,2746}

    Returns: {0.0, 0.0, 0.0, 0.009512485136741982, 0.06911414982164091, 0.009380367287620539, 0.06844989063578048, 0.01874788978435435, 0.15467880682902474, 0.38090860380793007, 0.13275091381512305, 0.044507200422777116, 0.031027509872139314, 0.040728996931929884, 0.030680700518195603, 0.008174791914387636, 0.0013376932223543303, 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 }

  23. 920

    947

    929

    {2589,801,1341,1858,2692,2006,502,776,1268,752,676,2832,1664,2485,164,1348,371,557,912,666,849,2784,2530,828,745,637,1820,853,478,2055,351,1553,99,77,2806,1272,1304,1006,2398,564,2330,304,1945,2703,2336,1248,997,1038,1124,2955}

    Returns: {0.0, 0.0, 0.19821673525377223, 0.6474622770919067, 0.154320987654321, 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, 0.0, 0.0 }

  24. 312

    459

    379

    {483,1614,661,514,1746,2806,2821,435,189,221,2582,2302,1372,1523,910,205,1302,2226,672,1329,2476,999,1928,2999,2260,2574,1255,2413,2585,2266,716,1234,2748,2070,2601,2477,9,2313,1872,541,1847,2200,1648,2940,1546,1148,590,2379,2854,2429}

    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, 0.04081632653061227, 0.0510204081632653, 0.4216761534545792, 0.48648711185154325, 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 }

  25. 109

    505

    401

    {1897,927,2690,2519,2833,562,2090,2753,2793,382,150,2453,2669,2699,1188,2722,1521,41,791,2497,2077,1535,1692,957,2015,2515,1314,416,125,2647,1309,680,2913,1623,164,1807,2661,2285,1637,1996,2853,2588,967,1838,743,2808,881,953,1211,890}

    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, 0.030000127538006346, 0.003172507907356372, 0.09436537088052235, 0.03102043158861345, 0.45530749413325167, 0.02187276808488936, 0.00857055402509943, 0.05322161003979187, 0.06830616773798592, 0.015294995408631773, 0.12454086317722679, 0.04530149984695442, 0.03716138659320478, 0.01186422303846546, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  26. 749

    754

    749

    {1738,1491,2276,2161,2957,1571,1709,2706,297,1013,1912,324,439,2770,484,563,1081,2243,2649,1864,1223,2612,2682,305,328,330,637,44,2227,1593,255,2122,199,2855,675,2569,2558,23,1178,2766,654,766,2126,45,667,1788,2968,388,2282,2697}

    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, 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, 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 }

  27. 789

    942

    942

    {2019,1271,2301,2618,1077,2232,1389,2854,2008,2938,875,1405,2728,1005,667,1211,1504,235,1043,2986,1151,539,161,1414,771,1517,1069,1851,99,1200,2984,382,1528,2773,2911,2023,2473,449,2830,2363,28,1557,513,2669,2697,105,1832,1037,1618,300}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.059998291255500054, 0.14513648596693574, 0.15030543807937113, 0.17036182664787058, 0.2690631808278867, 0.20513477722243578, 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 }

  28. 102

    766

    239

    {1307,1391,1210,1265,313,273,2885,533,913,1144,573,966,785,614,1812,2416,2942,1057,1191,658,627,2329,920,1217,538,229,1797,2676,1236,1422,2904,2460,1474,1564,1065,2688,2809,390,694,2064,643,1155,1038,2979,376,560,2347,979,1206,2258}

    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, 0.04859309224851215, 0.05144070256931337, 0.038095151691101795, 0.025628492887211446, 0.08039991290463061, 0.046201371752068426, 0.034235964944113906, 0.023464717302946636, 0.008851293729133514, 0.005107780519668925, 0.0194773824212513, 0.04882784148642766, 0.015505924299608065, 0.11542291152562062, 0.011213528814051354, 0.02605036108288572, 0.07567430868050518, 0.015612525402816102, 0.05216649731455936, 0.0075176458847437955, 0.11786906662795771, 0.061196971621425456, 0.01902489475976188, 0.0070594879518072196, 0.0069676295543620315, 0.005233660545797658, 0.013995363986064713, 0.003641448323414176, 0.005289229205980517, 0.0010490002177384605, 0.009185839744520252, 0.0, 0.0, 0.0, 0.0, 0.0 }

  29. 189

    587

    575

    {911,545,2823,2038,1461,137,2448,1857,2776,1723,1161,1888,2421,1620,1947,175,2144,2668,136,436,1810,1564,1229,910,873,2780,2306,1971,2329,1086,1635,2578,2538,2738,2655,2732,406,2761,2341,420,2873,1348,1552,2668,2265,421,2193,1613,1679,2981}

    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, 0.002133784500391401, 0.013332996641498953, 0.025554910229539665, 0.011505391277998031, 0.005855281432287036, 0.04964836746546805, 0.014469331582535855, 0.1393115072851695, 0.24569770965379661, 0.25204224640791906, 0.1038862654983459, 0.08072712810282578, 0.05583507992222414, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  30. 264

    948

    322

    {1311,1736,1606,279,2580,1853,2347,2113,601,504,1881,1312,2113,1669,316,1952,2569,424,961,1803,222,221,983,1356,1532,1746,317,1882,2759,1007,1972,1877,440,1984,2673,2578,2588,491,559,601,839,1540,2132,2802,419,2556,579,702,1934,2692}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.007904141445231013, 0.0038783300844704213, 0.0, 0.04673553401046475, 0.006155740227762413, 0.010943538182688659, 0.010580178516466643, 0.0344550459970589, 7.192383981396155E-4, 0.0028983276905714395, 0.018108135836667733, 0.04167949112547442, 0.054032651072124877, 0.010195444752231414, 0.0738229284224205, 0.07816828254847641, 0.0909895352416129, 0.01165315823672236, 0.2234533702677748, 0.04551827912862072, 9.864146233029558E-4, 0.2007797270955165, 0.007438186108546296, 0.005736807906706276, 0.01316751308094799, 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 }

  31. 416

    927

    722

    {610,61,2295,576,1984,237,1644,916,1247,2664,2043,520,1278,2196,2705,197,1014,2730,895,2484,1300,2118,417,2213,1128,390,1217,1463,2490,57,2565,2312,2768,286,1817,1092,1015,2643,2112,2674,354,2235,2722,2524,1923,1396,2935,2493,1751,1071}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.3169335289004064E-4, 0.004945982896817949, 0.00801352629623815, 9.70814296820258E-4, 0.002045028932946776, 0.11724832548894955, 0.01774081747542325, 0.07146112338724192, 0.02965674916992514, 0.024186105292182458, 0.1251603662669798, 0.01059279031560073, 0.12987274098980928, 0.10382351476901519, 0.09332646550832757, 0.12827769501495478, 0.05813396854331898, 0.05880224110661336, 0.015510050895944816, 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 }

  32. 280

    447

    347

    {2317,2918,983,2050,1140,814,1143,2205,2839,2217,1876,2091,2649,1506,1035,1485,538,2766,2544,2849,376,1287,2185,2858,204,444,2377,230,1534,1197,1547,1227,838,265,291,548,2455,1859,870,897,2292,1543,2809,2278,2440,1046,929,2520,840,347}

    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, 0.0035139302233855637, 0.03119509484025962, 0.13747355588224744, 0.010703144608985637, 0.47072322421026214, 0.05265516870450704, 0.19018250923303104, 0.09487611603141022, 0.008677256265911315, 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 }

  33. 333

    428

    343

    {1127,924,1244,2233,1192,603,1370,1239,1444,2875,2779,485,902,517,1277,15,1343,1295,2054,1487,1097,2989,581,1709,2095,696,2159,1328,1965,776,2955,1721,734,19,2639,2680,1203,196,1875,1579,2872,967,687,1629,1412,2953,962,2661,744,1715}

    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, 0.0027146814404432136, 0.2844875346260387, 0.28376731301939057, 0.4290304709141275, 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 }

  34. 179

    753

    335

    {2213,2885,34,2609,1591,794,684,773,2459,2759,1460,352,1463,78,2420,1990,3000,787,2018,1347,2821,430,197,1055,2228,326,2804,1183,136,2546,658,758,2096,464,357,1073,2975,2881,1806,1784,138,2311,74,1183,294,2498,1569,1597,2288,612}

    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, 0.0018590124925639533, 0.0030715439060811645, 0.0854189683011813, 0.004498051451395507, 0.017427673032330185, 0.10455996794910696, 0.0034554868943413586, 0.15004886547123317, 0.2652939819592322, 0.0, 0.14523060860275105, 0.02026854763321151, 0.1833866503174738, 0.002071471063142649, 0.0036967791280700935, 0.003300695650062524, 0.006411696147822554, 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 }

  35. 309

    821

    501

    {2498,2160,132,1520,1288,107,789,848,1565,2160,2279,1750,2413,309,731,800,251,2993,1771,78,2072,1525,2080,816,1072,325,368,1923,138,2876,2902,775,1549,1663,1239,815,707,1561,1156,2617,316,459,413,1787,2160,2868,1347,985,2093,1469}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.00476837158203125, 0.0028018951416015625, 0.002044677734375, 0.08270072937011719, 0.1494140625, 0.022216796875, 0.030641555786132812, 0.1448650360107422, 0.18114471435546875, 0.00677490234375, 0.01995849609375, 0.03826904296875, 0.0076961517333984375, 0.07305335998535156, 0.13449859619140625, 0.04467582702636719, 0.027009963989257812, 0.024854660034179688, 0.0026111602783203125, 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 }

  36. 870

    877

    876

    {2914,397,810,1759,1670,853,2012,944,2496,1661,218,1858,469,530,2999,2794,323,2647,444,2356,563,1547,3000,2140,1804,1015,1938,2171,1107,1621,449,1142,990,2836,2018,648,2075,11,73,2038,1965,2592,1741,154,1437,349,2034,2053,315,2468}

    Returns: {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, 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 }

  37. 474

    894

    610

    {1296,2193,699,261,2852,2612,901,2116,1027,36,21,1213,2945,2638,517,1278,1295,474,682,1204,1479,2655,1209,2829,332,1438,159,679,632,703,769,2689,2779,2393,91,813,1984,2038,2621,1880,1497,284,1523,2317,309,1,2212,2895,44,2442}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.086167800453465E-5, 0.018526077097505665, 0.07946428571428571, 0.021057256235827687, 0.10628968253968256, 0.14193877551020412, 0.11846938775510202, 0.22029478458049884, 0.29388888888888887, 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 }

  38. 743

    848

    767

    {569,2412,1677,431,2879,118,1226,2995,1289,1223,667,949,1654,2332,182,1977,1884,444,1200,1221,1949,1579,2220,1047,1192,1625,1026,499,1810,1143,2073,2860,342,724,341,478,1493,2406,2516,1190,1822,2400,1680,2161,524,209,2929,1254,2960,2406}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.11795918367346941, 0.029387755102040836, 0.0, 0.0326530612244898, 0.5369614512471655, 0.2830385487528344, 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 }

  39. 613

    704

    645

    {1375,2433,123,63,2023,479,1868,229,2306,2856,292,2058,2632,853,2523,465,2579,583,2752,1124,1003,2945,1637,2915,2043,348,732,1637,1230,1578,542,776,2572,136,2242,1980,15,2206,2472,55,1884,1024,2624,2187,940,1153,702,1278,27,2462}

    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, 0.006037918125830219, 0.048303345006641685, 0.2674193937930202, 0.6680352614418548, 0.010204081632653073, 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 }

  40. 260

    528

    381

    {670,1340,890,2704,294,294,2431,2841,1920,223,48,1823,2158,641,1139,1345,2542,1822,79,1145,530,1347,695,474,342,945,1838,2136,2276,1859,1800,2971,2236,2204,290,2926,2633,1371,2579,2064,2578,2892,671,1081,2438,779,2747,2769,1698,1040}

    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, 0.03032412564045443, 0.026063711294274896, 0.0025339719313878864, 0.006578580975718382, 0.5200420472265539, 0.02013254622410332, 0.1687736689685898, 0.09104895299621296, 0.12102500556916906, 0.013477389173535359, 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 }

  41. 262

    906

    903

    {160,765,1630,1851,39,764,884,586,2606,1928,2251,7,1342,988,378,1981,524,2054,941,312,1419,2927,2901,1792,509,929,2182,2190,1338,875,1959,1628,2813,1821,404,1752,2861,666,1363,2391,778,326,2950,704,455,1961,586,262,322,340}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.014323569692527287, 0.11223404768334552, 0.1330002700513098, 0.07273181011535051, 0.010204081632653073, 0.18355532193974, 0.10393720342579371, 0.02623355580417419, 0.002570309787431002, 0.03860648701824787, 0.08586787739670532, 0.029585085451950155, 0.026536157941437377, 0.033274179236912116, 0.07765904093206288, 9.741136530226902E-4, 0.04870688823733649, 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 }

  42. 261

    447

    331

    {43,2828,1041,802,687,2440,1179,1870,960,2835,516,1068,172,106,721,549,1095,1737,1871,1235,1209,1204,1372,285,1503,132,1842,852,1686,1093,1192,1036,1975,437,1044,1429,2206,44,20,2484,1356,921,1997,1910,1755,995,2655,2879,1107,83}

    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, 0.0036998496936061906, 0.002673719505145099, 0.009365244536940709, 0.014842756388021728, 0.1706555671175859, 0.043010752688172005, 0.007573129841600218, 0.1044195860793154, 0.1172389871661465, 0.01582552896288586, 0.026693837437853973, 0.19258006705977582, 0.12595386749913284, 0.09863857093305584, 0.06682853509076192, 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 }

  43. 167

    749

    508

    {1693,2669,436,1247,2985,2756,1546,2028,671,989,1921,2074,781,2130,695,792,2769,2286,1811,1535,992,831,995,1064,1442,956,48,73,594,1375,2478,2256,2139,1311,517,1789,1446,2913,2061,926,1280,781,1705,808,910,2405,1515,351,2717,2186}

    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, 0.010665025212267204, 0.04546474415748513, 0.0133796247092028, 0.06422928401884719, 0.010876111524427023, 0.16773390725192194, 0.015117027432363761, 0.028400703817857476, 0.10704733057002164, 0.006636671744547407, 0.11109782595859746, 0.0946611400432209, 0.04150429258039001, 0.04106440641938569, 0.16937240939525988, 0.0381948134764587, 0.0013418004038686648, 0.0013152300988414911, 0.012713890955468155, 0.00876820065894357, 0.003589943434772924, 0.006825616135850976, 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 }

  44. 700

    788

    704

    {1492,789,2647,2156,1451,1817,2814,504,844,2502,952,1955,1991,835,2611,846,278,1798,687,457,4,2654,527,589,2825,28,535,2768,148,1359,1793,437,2793,1458,1155,1373,654,2062,876,2430,2821,584,2271,667,1572,2479,1299,1918,2847,1641}

    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, 0.005229855371900828, 0.820183367768595, 0.1745867768595042, 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 }

  45. 977

    987

    979

    {2403,2944,2,905,978,1861,1573,1399,2412,2373,212,1466,165,1305,2331,2980,1272,1817,473,591,2366,2646,2124,921,966,74,105,2963,677,2473,2727,2476,2387,127,1146,617,1647,2352,125,474,1626,2097,1015,129,2456,777,1845,2092,147,925}

    Returns: {0.0, 0.0, 0.4049999999999999, 0.5950000000000001, 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, 0.0, 0.0, 0.0 }

  46. 673

    956

    680

    {910,208,2679,2095,144,1637,2667,2377,1475,82,1268,1207,2349,2584,1201,715,357,163,7,1318,159,239,212,442,1022,1899,2311,2420,1844,1060,1297,114,2285,2914,1296,1439,494,522,2494,1951,1169,739,2224,904,1007,568,787,877,2689,1056}

    Returns: {0.0, 0.0, 0.0, 0.0, 3.995554945123544E-4, 0.05955874090074792, 0.12473623094307588, 0.10389067162781404, 0.08006093221291316, 0.12431170323015633, 0.08825181985041652, 0.17403763313313936, 0.21502952964826627, 0.02972318295895815, 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 }

  47. 844

    940

    935

    {1373,1715,395,578,1256,1226,1225,249,766,620,123,1121,1186,1994,2877,320,330,2417,1066,813,1933,397,2388,1971,2072,532,2556,1263,469,2152,2478,2330,2957,2818,1073,2000,2280,1052,319,2170,357,2080,1121,953,1921,2758,1817,1782,2215,1005}

    Returns: {0.0, 0.0, 0.0, 0.17626953125, 0.82373046875, 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, 0.0, 0.0 }

  48. 361

    461

    404

    {1189,23,1583,122,238,982,397,868,1893,991,2663,414,2166,308,851,1463,1439,2716,1867,2356,2849,2822,2416,1530,2155,1670,2952,1145,2271,2024,1990,2390,2321,2456,491,2750,2394,2382,2012,1858,2289,497,1208,1673,1783,2450,367,1371,2268,724}

    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, 0.6638000000000001, 0.13774999999999993, 0.1804, 0.01805000000000001, 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 }

  49. 304

    432

    401

    {1695,2573,2538,954,2122,1211,2294,1244,1964,783,1994,2234,1290,727,510,2375,2458,1004,631,218,2745,2618,2547,1773,1964,1132,1162,915,273,2580,1993,2818,423,917,2767,662,2394,561,662,1107,2960,868,2263,2574,331,2519,902,1538,1433,1468}

    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, 0.013458251953125, 0.075531005859375, 0.234771728515625, 0.21453857421875, 0.168609619140625, 0.2930908203125, 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 }

  50. 453

    621

    498

    {68,469,2185,148,1108,1866,2731,1328,1084,1861,1452,2472,1473,884,22,819,1356,1856,2082,2878,2758,1894,1773,2902,307,601,2240,244,659,1291,1900,2754,2154,411,2814,1849,2642,2150,1940,2639,1196,1937,2907,2210,2523,2060,697,94,198,300}

    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, 0.915656887755102, 0.0435267857142857, 0.04081632653061229, 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 }

  51. 3

    10

    3

    {23,20,15,10,14,24,22,23,18,19,21,10,25,14,19,23,16,15,13,17,20,12,21,12,21,22,21,10,22,17,15,17,17,18,14,24,21,10,17,10,13,10,18,12,20,13,13,23,13,18}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.010204081632653052, 0.0, 0.0, 0.030612244897959218, 0.0, 0.0, 0.0, 0.0, 0.0510204081632653, 0.0, 0.0, 0.0714285714285714, 0.0, 0.09183673469387751, 0.0, 0.0, 0.0, 0.1122448979591838, 0.0, 0.0, 0.0, 0.0, 0.13265306122448972, 0.13265306122448983, 0.0, 0.0, 0.11224489795918369, 0.0, 0.0, 0.09183673469387754, 0.0, 0.0, 0.0, 0.0, 0.0714285714285714, 0.0, 0.0, 0.08163265306122447, 0.0, 0.0, 0.0, 0.0, 0.0, 0.010204081632653073 }

  52. 4

    7

    5

    {10,21,11,23,16,14,11,23,14,10,19,12,15,25,18,25,13,20,12,23,13,19,19,16,23,14,17,24,17,20,15,19,20,15,13,23,11,11,13,24,13,24,21,12,17,11,21,13,22,24}

    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, 0.05555555555555553, 0.16666666666666674, 0.0, 0.0, 0.27777777777777773, 0.0, 0.2777777777777778, 0.0, 0.0, 0.16666666666666663, 0.0, 0.0, 0.05555555555555558, 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 }

  53. 3

    8

    8

    {22,21,15,17,20,25,21,20,24,21,14,21,16,12,15,23,11,10,24,21,14,23,21,20,11,14,11,24,17,16,11,24,17,13,19,11,14,21,20,20,11,22,13,15,19,11,17,15,19,12}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.01999999999999999, 0.0, 0.05999999999999997, 0.0, 0.10000000000000009, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.14, 0.0, 0.0, 0.0, 0.0, 0.17999999999999994, 0.0, 0.0, 0.32000000000000006, 0.0, 0.0, 0.0, 0.09999999999999987, 0.0, 0.06000000000000005, 0.0, 0.0, 0.0, 0.020000000000000018, 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 }

  54. 5

    6

    6

    {15,16,17,25,18,13,21,11,21,15,23,19,21,13,15,22,19,17,23,23,11,18,18,23,11,17,20,23,16,15,22,15,23,22,25,13,13,17,16,20,15,24,25,11,14,25,25,18,10,20}

    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, 0.5, 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, 0.0 }

  55. 4

    8

    6

    {17,15,13,15,15,20,16,10,24,16,18,23,15,21,19,25,23,15,15,13,18,12,15,17,13,10,23,18,15,25,18,25,20,25,25,15,12,10,21,11,15,11,24,18,20,23,25,18,21,10}

    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, 0.03125, 0.0, 0.0, 0.09375, 0.0, 0.0, 0.15625, 0.21875, 0.0, 0.0, 0.0, 0.0, 0.0, 0.21875, 0.0, 0.15625, 0.0, 0.09375, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.03125, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  56. 7

    7

    7

    {21,15,18,19,25,20,18,17,15,24,11,17,11,18,25,13,14,19,14,19,11,23,14,20,18,21,22,21,13,21,19,22,23,11,21,25,10,23,12,12,10,25,10,20,20,15,22,18,19,14}

    Returns: {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, 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 }

  57. 4

    7

    6

    {16,10,19,22,16,12,14,19,14,25,22,22,19,20,13,14,17,20,24,16,15,23,21,18,12,24,18,14,22,13,13,24,12,19,24,18,24,13,17,11,20,16,18,15,14,19,23,23,19,15}

    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, 0.05555555555555553, 0.0, 0.0, 0.0, 0.0, 0.0, 0.16666666666666674, 0.0, 0.0, 0.0, 0.27777777777777773, 0.0, 0.2777777777777778, 0.0, 0.0, 0.0, 0.16666666666666663, 0.0, 0.0, 0.05555555555555558, 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 }

  58. 7

    9

    7

    {13,10,24,17,22,15,16,24,15,11,22,19,15,21,22,21,22,13,15,25,15,14,22,22,23,22,15,22,11,14,13,11,18,19,10,23,22,19,18,13,18,16,11,11,23,24,13,11,20,20}

    Returns: {0.0, 0.125, 0.0, 0.0, 0.375, 0.0, 0.0, 0.375, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.125, 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 }

  59. 4

    5

    4

    {12,20,17,16,25,11,22,13,24,20,21,16,24,21,21,20,24,10,25,21,25,15,10,12,16,23,12,23,24,21,12,16,10,11,17,15,18,14,21,10,15,12,23,24,19,10,18,24,22,23}

    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, 0.5, 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 }

  60. 6

    9

    6

    {15,13,21,16,21,25,21,23,14,17,22,12,11,24,17,22,13,15,16,20,17,12,12,20,11,16,15,20,14,10,18,18,13,13,20,20,17,20,15,24,15,22,18,17,18,20,18,13,14,24}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.05555555555555553, 0.16666666666666674, 0.0, 0.0, 0.27777777777777773, 0.0, 0.0, 0.2777777777777778, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2222222222222222, 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 }

  61. 6

    10

    10

    {11,14,18,19,17,16,19,13,10,14,23,20,18,12,11,17,20,22,12,17,22,17,15,17,19,16,21,15,25,24,24,17,22,24,12,10,11,18,21,18,13,17,24,19,20,20,15,17,17,25}

    Returns: {0.71875, 0.0, 0.15625, 0.0, 0.0, 0.0, 0.09375, 0.03125, 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 }

  62. 4

    8

    7

    {12,16,16,15,16,13,10,23,12,21,16,15,14,13,17,18,24,22,16,10,10,22,13,25,14,23,16,19,12,10,25,24,24,13,18,11,25,18,21,14,18,11,12,19,21,24,14,10,15,21}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.03125, 0.0, 0.09375, 0.0, 0.0, 0.0, 0.375, 0.0, 0.21875, 0.0, 0.0, 0.0, 0.15625, 0.09375, 0.0, 0.0, 0.0, 0.0, 0.0, 0.03125, 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 }

  63. 3

    6

    6

    {10,15,13,10,17,13,25,12,24,20,14,19,10,22,13,18,20,24,25,20,18,24,24,19,20,11,21,13,12,15,10,19,18,11,20,24,10,22,18,13,10,16,13,16,19,13,11,18,18,16}

    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, 0.05555555555555553, 0.16666666666666674, 0.0, 0.0, 0.27777777777777773, 0.0, 0.2777777777777778, 0.16666666666666663, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.05555555555555558, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  64. 4

    10

    9

    {20,15,10,14,10,13,23,17,19,13,23,20,24,13,15,18,11,11,14,15,20,23,22,21,20,23,25,15,20,19,16,11,19,12,10,13,23,11,14,15,14,25,17,19,18,13,15,17,20,22}

    Returns: {0.22222222222222227, 0.0, 0.12499999999999989, 0.15277777777777785, 0.0, 0.0, 0.0, 0.0, 0.15277777777777768, 0.0, 0.1250000000000001, 0.09722222222222221, 0.0, 0.0, 0.0, 0.0, 0.0, 0.06944444444444442, 0.0, 0.0, 0.0, 0.04166666666666674, 0.0, 0.01388888888888884, 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 }

  65. 7

    9

    7

    {20,24,12,20,19,22,10,16,11,15,16,21,12,10,17,14,17,15,25,17,19,11,22,23,19,11,20,23,16,20,10,13,21,25,15,13,14,19,20,22,21,25,17,11,14,15,24,24,20,19}

    Returns: {0.0, 0.0, 0.0, 0.125, 0.0, 0.0, 0.375, 0.0, 0.375, 0.0, 0.0, 0.125, 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 }

  66. 7

    8

    8

    {17,22,16,14,25,22,11,20,13,25,16,16,23,17,14,22,19,14,12,12,12,22,20,24,12,21,15,24,15,11,25,24,24,15,16,11,18,12,18,15,22,18,18,17,25,12,21,22,18,11}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 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, 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 }

  67. 7

    8

    7

    {10,21,16,12,10,12,25,16,21,19,23,23,25,24,16,24,20,10,25,13,23,11,10,11,10,13,13,13,14,17,23,13,15,13,19,24,18,12,15,19,23,10,12,25,25,24,18,15,14,18}

    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, 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, 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 }

  68. 4

    9

    7

    {16,18,16,24,24,17,25,24,11,19,19,15,14,18,15,13,17,20,11,17,17,25,12,21,18,11,12,25,18,19,23,14,21,11,24,25,15,19,21,14,25,23,18,18,14,23,21,12,16,23}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.01999999999999999, 0.0, 0.0, 0.0, 0.05999999999999997, 0.0, 0.0, 0.0, 0.2400000000000001, 0.0, 0.0, 0.0, 0.17999999999999994, 0.17999999999999994, 0.0, 0.0, 0.0, 0.14000000000000012, 0.0, 0.0, 0.0, 0.0, 0.0, 0.09999999999999987, 0.0, 0.0, 0.0, 0.06000000000000005, 0.0, 0.0, 0.020000000000000018, 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 }

  69. 5

    10

    9

    {15,15,17,22,12,24,10,25,11,25,13,18,13,19,22,12,17,19,20,10,16,11,24,19,20,17,20,20,19,18,14,11,11,11,19,19,25,23,22,25,10,11,20,14,17,13,22,12,20,18}

    Returns: {0.32000000000000006, 0.0, 0.0, 0.0, 0.17999999999999994, 0.0, 0.17999999999999994, 0.14000000000000012, 0.0, 0.0, 0.0, 0.15999999999999992, 0.0, 0.0, 0.0, 0.0, 0.0, 0.020000000000000018, 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 }

  70. 7

    8

    8

    {21,11,24,21,16,25,20,17,16,23,23,15,15,11,10,11,20,19,16,24,19,16,20,24,23,19,20,13,22,10,18,11,23,10,21,16,14,23,21,14,19,11,25,11,16,15,22,22,12,25}

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

  71. 7

    8

    7

    {10,10,14,17,11,13,23,22,24,16,16,13,10,12,13,12,15,22,12,17,24,23,20,24,12,15,20,21,24,16,16,22,20,14,19,15,16,21,12,10,18,15,23,24,11,16,25,23,12,18}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 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, 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 }

  72. 4

    6

    5

    {19,10,25,25,24,22,21,20,23,14,22,25,17,13,18,16,11,23,12,25,24,10,13,15,17,21,17,11,20,19,20,23,17,13,11,18,10,12,15,20,23,21,13,15,25,21,15,25,13,16}

    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, 0.125, 0.0, 0.375, 0.0, 0.0, 0.0, 0.375, 0.125, 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 }

  73. 6

    10

    9

    {15,13,23,13,17,16,20,22,19,17,10,24,10,22,23,21,22,18,10,23,25,18,22,21,22,18,21,15,25,19,17,12,15,23,24,11,25,18,11,15,19,23,15,15,20,20,25,10,17,21}

    Returns: {0.5, 0.0, 0.0, 0.0, 0.21875, 0.0, 0.15625, 0.0, 0.0, 0.0, 0.0, 0.09375, 0.0, 0.0, 0.0, 0.0, 0.03125, 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 }

  74. 3

    3

    3

    {10,16,12,11,14,24,19,25,21,21,14,19,10,21,24,10,13,16,14,24,21,20,24,24,13,16,16,20,21,16,10,11,17,10,25,21,23,23,13,13,19,12,22,22,21,17,12,10,21,19}

    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, 0.0, 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 }

  75. 4

    10

    4

    {22,10,25,18,18,21,16,18,12,11,10,23,17,21,25,22,18,23,19,14,14,23,17,20,24,20,21,19,12,12,22,17,13,22,17,12,24,18,23,12,16,20,25,14,10,18,19,19,25,10}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.013888888888888902, 0.0, 0.0, 0.0, 0.04166666666666663, 0.0, 0.0, 0.0, 0.06944444444444448, 0.0, 0.0, 0.09722222222222227, 0.0, 0.0, 0.12499999999999989, 0.0, 0.0, 0.0, 0.15277777777777785, 0.0, 0.0, 0.0, 0.0, 0.0, 0.15277777777777768, 0.0, 0.0, 0.0, 0.1250000000000001, 0.0, 0.16666666666666663, 0.0, 0.0, 0.04166666666666674, 0.01388888888888884, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }

  76. 7

    7

    7

    {12,21,10,22,25,17,11,17,18,16,17,13,14,11,20,14,19,12,13,10,25,12,20,23,17,13,20,22,25,13,18,14,22,22,13,20,22,17,21,14,19,13,16,15,17,19,11,25,20,12}

    Returns: {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, 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 }

  77. 3

    4

    3

    {16,13,18,13,20,13,15,13,20,19,16,25,17,20,10,21,12,16,24,21,21,20,20,11,18,22,10,17,14,13,14,12,21,20,20,17,19,20,12,14,15,18,24,20,25,17,13,16,25,20}

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

  78. 4

    10

    9

    {10,17,14,16,14,23,18,22,24,22,10,22,25,10,14,16,19,21,14,19,11,16,20,17,12,25,14,14,21,24,12,20,25,11,12,20,16,10,12,24,13,25,19,21,21,12,21,12,13,13}

    Returns: {0.22222222222222227, 0.0, 0.0, 0.0, 0.12499999999999989, 0.0, 0.0, 0.15277777777777785, 0.15277777777777768, 0.0, 0.0, 0.1250000000000001, 0.0, 0.0, 0.0, 0.0, 0.09722222222222221, 0.0, 0.0, 0.06944444444444442, 0.0, 0.0, 0.04166666666666674, 0.01388888888888884, 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 }

  79. 5

    8

    8

    {18,17,12,23,11,18,13,11,19,25,17,17,12,10,25,23,14,23,12,15,12,18,21,23,21,17,10,18,15,13,20,10,19,23,11,15,22,13,20,18,24,14,19,20,17,19,24,16,22,12}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.05555555555555553, 0.0, 0.0, 0.0, 0.0, 0.16666666666666674, 0.0, 0.27777777777777773, 0.0, 0.2777777777777778, 0.0, 0.0, 0.16666666666666663, 0.0, 0.0, 0.0, 0.05555555555555558, 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 }

  80. 7

    8

    8

    {21,11,12,18,24,17,24,18,24,10,21,25,13,14,25,24,17,11,15,17,18,16,19,22,19,20,23,21,16,12,15,24,23,11,18,11,13,12,15,21,18,13,15,15,16,21,24,14,25,13}

    Returns: {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 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, 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 }

  81. 1

    10

    5

    {1, 2, 3, 5, 10, 11, 12, 19 }

    Returns: {0.22222222222222227, 0.6234567901234567, 0.05555555555555558, 0.043209876543209846, 0.05555555555555558, 0.0, 0.0, 0.0, 0.0 }

  82. 1

    1000

    1

    {2006, 2634, 2888, 2755, 1928, 757, 2694, 303, 2837, 930, 302, 616, 1179, 1869, 662, 2172, 328, 1212, 191, 330, 400, 1355, 1853, 832, 2649, 2084, 1155, 2274, 1194, 2273, 1603, 1448, 1242, 39, 931, 1498, 2989, 2297, 83, 1595, 2752, 1030, 595, 1903, 1398, 984, 658, 2105, 1939, 554 }

    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, 0.0019258497736976174, 7.439872304737226E-4, 0.0021417814210607, 0.003917831745659561, 0.002244486728971224, 0.06838670502334163, 0.003222441660880107, 0.04417480543606678, 0.026452879305732147, 0.028957886815744655, 0.026907287668048452, 0.0795415034654274, 0.02326650975299621, 0.014392771149527805, 0.01224197170143132, 0.020056092128164116, 0.11378996614231845, 0.045490936381827274, 0.05068982896810725, 9.29357786214724E-4, 0.0862163464766067, 0.059481403325247095, 0.06725193662130602, 0.0026332638945252285, 0.02668133599064526, 0.012677843008173317, 0.023478433388343323, 0.07314221128034948, 0.02539075612148678, 6.533059586112389E-4, 0.007828148468789098, 3.000998996994797E-4, 0.027082638193749342, 0.014500987473960447, 0.002557111666220746, 6.492979465952953E-4 }

  83. 1

    10

    1

    {5 }

    Returns: {0.9753086419753086, 0.024691358024691357 }

  84. 499

    899

    599

    {7 }

    Returns: {1.0, 0.0 }

  85. 500

    500

    500

    {123, 345, 345 }

    Returns: {1.0, 0.0, 0.0, 0.0 }

  86. 1

    1000

    1

    {1, 11, 21, 51, 71, 91, 111, 211, 310, 487, 567, 689, 798, 812, 911, 1000 }

    Returns: {0.5019999979959939, 0.08494229965701439, 0.08516173831489149, 0.01125048972896825, 0.08087617146676207, 0.0764027290553817, 0.0420039659278898, 0.07014371729086444, 0.025543561579597696, 0.01583164746327903, 0.001963925887849882, 0.0015631246862477521, 0.0011623234846458441, 9.919829739649666E-4, 1.302603905205535E-4, 3.2064096128214814E-5, 0.0 }

  87. 1

    10

    5

    {134, 2, 42, 12, 2, 4 }

    Returns: {0.0, 0.0, 0.845679012345679, 0.154320987654321, 0.0, 0.0, 0.0 }

  88. 100

    100

    100

    {300 }

    Returns: {1.0, 0.0 }

  89. 3

    3

    3

    {1, 1, 1, 1, 4, 4, 4, 5, 5, 6, 7, 8, 9, 6, 6, 6, 3, 6, 74, 3000, 353, 2, 5, 43 }

    Returns: {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, 0.0, 0.0 }

  90. 1

    1000

    5

    {7, 12, 45, 160, 39, 178, 190, 890, 1425 }

    Returns: {0.168536905273642, 0.4408377346315285, 0.37384732079426763, 0.002128254380506678, 0.0029218407596786067, 0.011004497991484952, 2.1042063084109053E-4, 5.005005005004337E-4, 1.2525037550115137E-5, 0.0 }

  91. 1

    1

    1

    {5, 6, 7, 8 }

    Returns: {0.0, 0.0, 0.0, 0.0, 1.0 }

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