TopCoder Statistics - Problem Statement

Problem Statement

Given is a complete directed graph on N vertices. The vertices are numbered from 0 to N-1. For each pair of distinct vertices u and v, the edge from u to v has a non-negative length dist[u,v].

You are given the edge lengths in the int[] G. For each u and v, dist[u,v] = G[u*N+v].

You wanted to compute the shortest paths from 0 to all other vertices, so you implemented Dijkstra's algorithm. Here is the pseudocode that corresponds to your implementation:


1) S = set of all vertices
2) D[0] = 0
3) for i = 1 to N-1: D[i] = infinity

4) while (S is not empty):
5)     find u in S such that D[u] is minimal among all D[i] where i is in S
6)     remove u from S
7)     for each v in S:
8)         if D[v] &gt; D[u] + dist[u,v]:
9)             D[v] = D[u] + dist[u,v]

The above pseudocode is an actual correct version of Dijkstra's algorithm. When it terminates, each value D[i] is the length of the shortest path from vertex 0 to vertex i.

Your friend then decided to prank you and edited line 5) in the above code to the following one:


5')     select u from S uniformly at random

Calculate and return the probability that the modified algorithm will calculate the entire array D correctly.

Definition

Class:: RandomDijkstraDiv2
Method:: solve
Parameters:: int, int[]
Returns:: double
Method signature:: double solve(int N, int[] G)
(be sure your method is public)

Notes

Your return value will be accepted if it has a relative or an absolute error at most 1e-9.
Note that the cycle in lines 7-9 of the pseudocode iterates just over all vertices v that are still in the set S (i.e., those that have not been processed yet).

Constraints

N will be between 1 and 15, inclusive.
G will have exactly N*N elements.
Each element of G will be between 0 and 10^6, inclusive.
For each u, G[u*N+u] will be 0.

Examples

4

{ 0, 1, 1000, 1000, 1000, 0, 1, 1000, 1000, 1000, 0, 1, 1000, 1000, 1000, 0 }

Returns: 0.041666666666666664

A graph on 4 vertices. The edges 0 -> 1, 1 -> 2, and 2 -> 3 each have length 1, all other edges have length 1000. You will only get the correct array of distances if you remove the vertices in order 0, 1, 2, 3. That happens with probability (1/4) * (1/3) * (1/2).
4

{ 0, 1, 1, 1, 1, 0, 1000, 1000, 1, 1000, 0, 1000, 1, 1000, 1000, 0 }

Returns: 0.25

In this case the edges between 0 and each other vertex are short and all other edges are long. We will compute the correct array of distances if and only if we process vertex 0 first. That happens with probability 1/4.
15

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

Returns: 0.016666666666666666
15

{0, 834931, 347194, 175026, 485031, 23692, 616273, 102956, 703528, 481790, 985345, 482900, 290233, 669025, 571391, 719341, 0, 722653, 963344, 24940, 587411, 198481, 864135, 712613, 300999, 42873, 809296, 276050, 568594, 506130, 402343, 71792, 0, 824177, 114332, 921906, 546165, 743505, 618657, 628011, 500505, 563250, 780490, 829200, 379546, 606561, 326839, 432114, 0, 715975, 939649, 941939, 214822, 767939, 663243, 95888, 984827, 107669, 537282, 848428, 319813, 424757, 999594, 348920, 0, 876864, 377616, 892436, 114085, 855847, 978451, 97707, 896357, 652661, 780115, 446827, 378043, 52686, 366773, 611146, 0, 59220, 970680, 410893, 664732, 846309, 280928, 266691, 220842, 303800, 219370, 487590, 892386, 693448, 860854, 857490, 0, 466874, 980466, 813384, 461848, 332873, 906812, 707259, 57432, 162820, 608475, 503002, 646, 28861, 443279, 908248, 0, 545494, 459149, 643888, 854209, 901659, 270242, 308242, 107487, 317798, 129865, 978739, 177994, 443640, 353010, 521697, 0, 245900, 527807, 597970, 538167, 275882, 328194, 581741, 24188, 963102, 638467, 705766, 915826, 397747, 897407, 958457, 0, 617929, 730632, 623737, 723361, 654322, 962061, 484260, 646952, 585435, 188220, 715685, 735995, 395329, 854056, 44876, 0, 642763, 974243, 190277, 654187, 81719, 508512, 430985, 63199, 235322, 484152, 184456, 975848, 626984, 417222, 4682, 0, 145847, 779351, 76322, 587404, 408015, 792, 403041, 523583, 777894, 477232, 660369, 391329, 766116, 128435, 536082, 0, 107068, 90217, 827850, 440707, 431964, 986672, 933353, 577245, 109328, 893298, 647273, 183324, 947471, 697428, 522785, 0, 460585, 625300, 868906, 98278, 414716, 549997, 530200, 343301, 453592, 785312, 957765, 206196, 331755, 416408, 888941, 0}

Returns: 4.822530864197531E-6
15

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

Returns: 0.06666666666666667
15

{0, 0, 277990, 269401, 0, 268513, 0, 0, 408448, 449013, 507685, 0, 0, 497944, 0, 59394, 0, 337384, 328795, 0, 327907, 0, 0, 467842, 508407, 567079, 14317, 0, 557338, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130458, 171023, 229695, 0, 0, 219954, 0, 0, 0, 8589, 0, 0, 0, 0, 0, 139047, 179612, 238284, 0, 0, 228543, 0, 137150, 77756, 415140, 406551, 0, 405663, 0, 0, 545598, 586163, 644835, 92073, 42871, 635094, 0, 0, 0, 9477, 888, 0, 0, 0, 0, 139935, 180500, 239172, 0, 0, 229431, 0, 391621, 332227, 669611, 661022, 254471, 660134, 0, 171209, 800069, 840634, 899306, 346544, 297342, 889565, 8695, 220412, 161018, 498402, 489813, 83262, 488925, 0, 0, 628860, 669425, 728097, 175335, 126133, 718356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40565, 99237, 0, 0, 89496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58672, 0, 0, 48931, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45077, 0, 323067, 314478, 0, 313590, 0, 0, 453525, 494090, 552762, 0, 0, 543021, 0, 94279, 34885, 372269, 363680, 0, 362792, 0, 0, 502727, 543292, 601964, 49202, 0, 592223, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9741, 0, 0, 0, 0, 382926, 323532, 660916, 652327, 245776, 651439, 0, 162514, 791374, 831939, 890611, 337849, 288647, 880870, 0}

Returns: 0.06666666666666667
15

{0, 4133, 1, 1, 12975, 13016, 255, 1, 12713, 1, 3, 2, 2, 28081, 2, 3, 0, 2, 2, 8842, 8883, 3, 1, 8583, 2, 2, 1, 1, 23948, 2, 1630, 5760, 0, 3, 14600, 14643, 1881, 3, 14340, 3, 2, 3, 1, 29706, 1, 28773, 32905, 27146, 0, 41746, 41787, 29026, 3, 41485, 2, 2, 5913, 7865, 56852, 1, 1, 2, 1, 1, 0, 42, 3, 3, 3, 2, 3, 3, 1, 15108, 3, 3, 3, 3, 3, 1, 0, 3, 1, 2, 3, 1, 2, 2, 15066, 3, 1, 3879, 1, 1, 12722, 12761, 0, 3, 12461, 3, 3, 1, 2, 27826, 2, 43773, 47904, 42147, 15003, 56745, 56787, 44026, 0, 56485, 5669, 3, 20913, 22865, 71851, 3, 3, 1, 3, 2, 263, 305, 3, 2, 0, 2, 1, 3, 1, 15369, 1, 38108, 42240, 36481, 9336, 51080, 51120, 38361, 3, 50818, 0, 3, 15247, 17199, 66185, 3, 65419, 69550, 63793, 36650, 78392, 78434, 65673, 21649, 78131, 27315, 0, 42560, 44511, 93497, 17192, 22862, 26993, 21234, 2, 35834, 35874, 23114, 3, 35573, 2, 2, 0, 1955, 50941, 1, 20910, 25040, 19284, 1, 33883, 33924, 21163, 3, 33622, 2, 1, 2, 0, 48989, 3, 1, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 1, 0, 2, 48230, 52361, 46605, 19460, 61202, 61243, 48483, 4459, 60943, 10124, 2, 25371, 27324, 76309, 0}

Returns: 0.06666666666666667
15

{0, 7832, 275, 63476, 538, 6513, 479, 54951, 20414, 19804, 139, 64441, 40353, 8455, 10846, 101, 0, 394, 56220, 211, 673, 691, 47307, 13663, 12736, 162, 57116, 32907, 1334, 3600, 17657, 25132, 0, 80984, 564, 23214, 14512, 72133, 38138, 37007, 2526, 80897, 57279, 25837, 28621, 720, 893, 706, 0, 891, 240, 525, 590, 333, 523, 226, 1152, 760, 468, 139, 19975, 26778, 2410, 83218, 0, 26027, 16593, 73371, 40185, 39286, 5076, 83277, 59355, 28431, 30603, 168, 1700, 535, 57773, 445, 0, 484, 48734, 14822, 14431, 704, 57891, 33761, 2955, 5380, 3476, 11328, 988, 66100, 571, 9002, 0, 57738, 24033, 22603, 213, 67314, 42734, 12127, 14457, 915, 33, 809, 9496, 919, 789, 124, 0, 340, 265, 492, 9988, 101, 933, 776, 757, 676, 120, 43108, 495, 10, 286, 34377, 0, 898, 942, 43951, 19406, 127, 979, 959, 265, 378, 44046, 56, 504, 709, 34653, 1265, 0, 84, 45028, 20961, 779, 716, 15213, 22662, 201, 78232, 742, 21481, 12077, 69258, 35764, 34955, 0, 78860, 54769, 24028, 26443, 654, 757, 702, 554, 778, 882, 102, 813, 862, 502, 199, 0, 154, 754, 519, 775, 265, 152, 23813, 382, 151, 870, 14917, 936, 883, 815, 24960, 0, 934, 545, 380, 921, 131, 55684, 147, 980, 439, 46225, 12602, 12018, 326, 56206, 31417, 0, 3420, 796, 385, 20, 53109, 108, 435, 764, 43396, 10133, 9548, 879, 52995, 28753, 133, 0}

Returns: 0.006666666666666667
15

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.06666666666666667
5

{ 0, 1000, 1000, 4, 5, 1000, 0, 1000, 1000, 1000, 1000, 2, 0, 1000, 1000, 1000, 1000, 6, 0, 1000, 1000, 7, 1000, 1000, 0 }

Returns: 0.058333333333333334

The exact answer for this test case is 7/120.
1

{0}

Returns: 1.0
2

{0, 0, 0, 0}

Returns: 0.5
3

{0, 1, 0, 2, 0, 0, 1, 0, 0}

Returns: 0.16666666666666666
4

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

Returns: 0.25
5

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

Returns: 0.1
6

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

Returns: 0.08333333333333333
7

{0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0}

Returns: 0.14285714285714285
8

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

Returns: 0.125
9

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

Returns: 0.006944444444444444
10

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

Returns: 0.003125
11

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

Returns: 0.00946969696969697
12

{0, 2, 68, 1, 95, 31, 87, 54, 12, 56, 4, 45, 10, 0, 66, 79, 42, 79, 12, 26, 26, 24, 71, 92, 19, 29, 0, 97, 3, 97, 79, 39, 36, 43, 50, 94, 1, 85, 97, 0, 15, 24, 63, 77, 31, 83, 37, 9, 76, 96, 60, 48, 0, 40, 18, 51, 73, 5, 25, 91, 12, 93, 25, 94, 5, 0, 10, 25, 91, 39, 91, 82, 57, 43, 13, 41, 69, 27, 0, 94, 56, 30, 87, 80, 61, 48, 45, 76, 62, 57, 11, 0, 52, 85, 19, 19, 30, 31, 27, 54, 36, 53, 48, 89, 0, 86, 97, 17, 76, 55, 9, 21, 57, 19, 86, 26, 50, 0, 58, 59, 93, 98, 13, 66, 90, 16, 3, 25, 14, 56, 0, 20, 43, 99, 66, 81, 6, 7, 14, 28, 36, 81, 68, 0}

Returns: 6.944444444444445E-4
13

{0, 618784, 789871, 411201, 884155, 374343, 747764, 162520, 659404, 645533, 686839, 389838, 350766, 217217, 0, 309326, 894118, 626826, 24531, 51223, 793504, 394684, 434078, 2021, 489795, 533843, 603328, 267207, 0, 497647, 170036, 617584, 960927, 570403, 354304, 403443, 677761, 11495, 3129, 842862, 334838, 313300, 0, 483554, 517216, 275906, 215129, 870513, 59705, 702552, 676729, 806022, 278802, 893134, 17552, 978716, 0, 104654, 145235, 425729, 412711, 572253, 702532, 272833, 593934, 904699, 650658, 552494, 220853, 722564, 0, 500647, 205909, 306556, 702979, 213462, 976111, 664554, 534677, 432934, 78186, 340705, 347055, 789662, 0, 516638, 213878, 480214, 232751, 95258, 484317, 62479, 808931, 567656, 760300, 13652, 126733, 407532, 0, 203361, 695019, 289519, 503964, 841833, 890896, 393626, 374342, 87068, 245094, 795670, 528074, 633701, 0, 887933, 96608, 544643, 230206, 976360, 282593, 950808, 862638, 848926, 961979, 876690, 148555, 258498, 0, 686980, 373937, 727216, 486062, 882354, 78671, 192389, 750870, 890486, 13275, 711039, 385613, 958093, 0, 702656, 340693, 431255, 436736, 112731, 890779, 197345, 40952, 601134, 886575, 702086, 14717, 68510, 0, 620696, 968530, 809890, 622947, 389828, 665208, 829917, 262926, 486920, 462198, 568272, 904192, 231372, 0}

Returns: 9.712509712509713E-6
14

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

Returns: 0.003720238095238095
15

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

Returns: 3.4722222222222224E-4
15

{0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}

Returns: 0.021996753246753247
15

{0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0}

Returns: 0.004183971613948466
15

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

Returns: 0.001923228529627339
15

{0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0}

Returns: 0.06666666666666667
15

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

Returns: 0.007818930041152264
2

{0, 1000000, 1000000, 0}

Returns: 0.5
3

{0, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 0}

Returns: 0.3333333333333333
15

{0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 1000000, 0}

Returns: 0.06666666666666667
15

{0, 15438, 30891, 40907, 49097, 3000, 20120, 51380, 56884, 9605, 24591, 47391, 17364, 6392, 33830, 0, 0, 15454, 25470, 33660, 0, 4683, 35943, 41447, 0, 9154, 31954, 1927, 0, 18393, 0, 0, 0, 10017, 18207, 0, 0, 20490, 25994, 0, 0, 16501, 0, 0, 2939, 0, 0, 0, 0, 8191, 0, 0, 10474, 15978, 0, 0, 6484, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2283, 7787, 0, 0, 0, 0, 0, 0, 0, 12438, 27891, 37907, 46097, 0, 17120, 48380, 53884, 6604, 21591, 44391, 14364, 3391, 30830, 0, 0, 10772, 20788, 28978, 0, 0, 31261, 36765, 0, 4472, 27272, 0, 0, 13711, 0, 0, 0, 0, 0, 0, 0, 0, 5505, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5834, 21287, 31303, 39493, 0, 10516, 41776, 47280, 0, 14987, 37787, 7759, 0, 24226, 0, 0, 6300, 16317, 24507, 0, 0, 26790, 32294, 0, 0, 22801, 0, 0, 9240, 0, 0, 0, 0, 1706, 0, 0, 3990, 9494, 0, 0, 0, 0, 0, 0, 0, 0, 13528, 23544, 31734, 0, 2756, 34017, 39521, 0, 7227, 30028, 0, 0, 16467, 0, 9046, 24500, 34516, 42706, 0, 13729, 44989, 50493, 3214, 18200, 41000, 10973, 0, 27439, 0, 0, 0, 7077, 15268, 0, 0, 17551, 23055, 0, 0, 13562, 0, 0, 0}

Returns: 1.0736617879475022E-9
15

{0, 48392, 53901, 35964, 2432, 18461, 2242, 8791, 1900, 39142, 45982, 24762, 30093, 44623, 41636, 0, 0, 5510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12429, 17938, 0, 0, 0, 0, 0, 0, 3179, 10019, 0, 0, 8660, 5673, 0, 45960, 51469, 33532, 0, 16029, 0, 6359, 0, 36710, 43550, 22330, 27661, 42191, 39204, 0, 29932, 35441, 17504, 0, 0, 0, 0, 0, 20682, 27522, 6301, 11633, 26163, 23176, 0, 46150, 51659, 33722, 191, 16219, 0, 6549, 0, 36900, 43740, 22520, 27851, 42381, 39394, 0, 39602, 45111, 27174, 0, 9670, 0, 0, 0, 30352, 37192, 15972, 21303, 35833, 32846, 0, 46492, 52001, 34064, 533, 16561, 343, 6890, 0, 37242, 44082, 22862, 28193, 42723, 39736, 0, 9251, 14760, 0, 0, 0, 0, 0, 0, 0, 6840, 0, 0, 5482, 2494, 0, 2410, 7919, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23631, 29140, 11203, 0, 0, 0, 0, 0, 14381, 21221, 0, 5331, 19862, 16875, 0, 18300, 23809, 5871, 0, 0, 0, 0, 0, 9049, 15890, 0, 0, 14531, 11544, 0, 3770, 9279, 0, 0, 0, 0, 0, 0, 0, 1360, 0, 0, 0, 0, 0, 6757, 12266, 0, 0, 0, 0, 0, 0, 0, 4347, 0, 0, 2987, 0}

Returns: 1.9484973188676894E-8
15

{0, 12041, 10450, 30543, 17295, 8845, 4887, 28292, 9703, 8591, 21945, 22915, 21702, 2723, 19666, 0, 0, 0, 18503, 5255, 0, 0, 16252, 0, 0, 9905, 10875, 9662, 0, 7626, 0, 1592, 0, 20094, 6845, 0, 0, 17843, 0, 0, 11496, 12466, 11253, 0, 9217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13249, 0, 0, 0, 10998, 0, 0, 4651, 5621, 4408, 0, 2372, 0, 3197, 1606, 21699, 8451, 0, 0, 19448, 860, 0, 13101, 14071, 12858, 0, 10822, 0, 7155, 5563, 25657, 12409, 3959, 0, 23406, 4818, 3706, 17059, 18029, 16816, 0, 14780, 0, 0, 0, 2251, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2338, 747, 20840, 7592, 0, 0, 18589, 0, 0, 12242, 13212, 11999, 0, 9962, 0, 3450, 1859, 21952, 8704, 254, 0, 19701, 1113, 0, 13354, 14324, 13111, 0, 11075, 0, 0, 0, 8599, 0, 0, 0, 6348, 0, 0, 0, 971, 0, 0, 0, 0, 0, 0, 7629, 0, 0, 0, 5378, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8842, 0, 0, 0, 6590, 0, 0, 243, 1213, 0, 0, 0, 0, 9317, 7727, 27820, 14572, 6121, 2163, 25569, 6981, 5869, 19222, 20192, 18979, 0, 16943, 0, 0, 0, 10878, 0, 0, 0, 8627, 0, 0, 2280, 3250, 2036, 0, 0}

Returns: 4.409171075837742E-6
15

{0, 26915, 3230, 5052, 12783, 15891, 19158, 11927, 11519, 24598, 2709, 33861, 9340, 6727, 21741, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6947, 0, 0, 0, 0, 23686, 0, 1824, 9554, 12662, 15929, 8698, 8289, 21369, 0, 30632, 6110, 3498, 18512, 0, 21863, 0, 0, 7730, 10839, 14106, 6875, 6467, 19546, 0, 28809, 4288, 1675, 16689, 0, 14133, 0, 0, 0, 3108, 6376, 0, 0, 11816, 0, 21079, 0, 0, 8959, 0, 11025, 0, 0, 0, 0, 3268, 0, 0, 8707, 0, 17971, 0, 0, 5850, 0, 7758, 0, 0, 0, 0, 0, 0, 0, 5441, 0, 14704, 0, 0, 2584, 0, 14989, 0, 0, 857, 3965, 7232, 0, 0, 12672, 0, 21935, 0, 0, 9815, 0, 15397, 0, 0, 1265, 4373, 7640, 409, 0, 13080, 0, 22343, 0, 0, 10223, 0, 2318, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9263, 0, 0, 0, 0, 24206, 520, 2344, 10074, 13182, 16449, 9217, 8810, 21889, 0, 31152, 6631, 4017, 19032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17576, 0, 0, 3444, 6552, 9818, 2588, 2180, 15259, 0, 24522, 0, 0, 12402, 0, 20189, 0, 0, 6057, 9165, 12432, 5201, 4793, 17872, 0, 27135, 2614, 0, 15015, 0, 5174, 0, 0, 0, 0, 0, 0, 0, 2858, 0, 12121, 0, 0, 0}

Returns: 1.417233560090703E-6
15

{0, 10483, 7870, 6101, 20203, 3495, 11504, 2066, 13240, 1429, 10942, 7379, 5823, 9239, 14498, 0, 0, 0, 0, 9721, 0, 1022, 0, 2758, 0, 459, 0, 0, 0, 4016, 0, 2614, 0, 0, 12334, 0, 3635, 0, 5370, 0, 3073, 0, 0, 1370, 6629, 0, 4382, 1770, 0, 14103, 0, 5404, 0, 7140, 0, 4842, 1280, 0, 3139, 8397, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6989, 4376, 2607, 16709, 0, 8010, 0, 9746, 0, 7448, 3886, 2329, 5745, 11004, 0, 0, 0, 0, 8700, 0, 0, 0, 1737, 0, 0, 0, 0, 0, 2995, 0, 8418, 5805, 4036, 18138, 1430, 9439, 0, 11175, 0, 8877, 5315, 3757, 7174, 12433, 0, 0, 0, 0, 6963, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1259, 0, 9054, 6441, 4671, 18774, 2065, 10075, 636, 11811, 0, 9513, 5951, 4394, 7810, 13069, 0, 0, 0, 0, 9262, 0, 563, 0, 2299, 0, 0, 0, 0, 0, 3557, 0, 3104, 490, 0, 12824, 0, 4124, 0, 5861, 0, 3563, 0, 0, 1860, 7119, 0, 4661, 2048, 279, 14381, 0, 5682, 0, 7418, 0, 5120, 1558, 0, 3416, 8676, 0, 1245, 0, 0, 10965, 0, 2266, 0, 4002, 0, 1704, 0, 0, 0, 5260, 0, 0, 0, 0, 5706, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 5.1440329218107E-6
15

{0, 21362, 3793, 10647, 33672, 6036, 26891, 13417, 11414, 16993, 30895, 4290, 2884, 27011, 29845, 0, 0, 0, 0, 12311, 0, 5530, 0, 0, 0, 9534, 0, 0, 5650, 8484, 0, 17569, 0, 6853, 29879, 2243, 23098, 9623, 7621, 13200, 27102, 496, 0, 23218, 26052, 0, 10716, 0, 0, 23026, 0, 16245, 2771, 767, 6346, 20249, 0, 0, 16365, 19199, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15327, 0, 4612, 27637, 0, 20856, 7382, 5379, 10958, 24860, 0, 0, 20976, 23810, 0, 0, 0, 0, 6782, 0, 0, 0, 0, 0, 4005, 0, 0, 120, 2954, 0, 7946, 0, 0, 20256, 0, 13475, 0, 0, 3577, 17479, 0, 0, 13595, 16429, 0, 9949, 0, 0, 22259, 0, 15478, 2004, 0, 5580, 19482, 0, 0, 15598, 18432, 0, 4369, 0, 0, 16680, 0, 9898, 0, 0, 0, 13903, 0, 0, 10019, 12853, 0, 0, 0, 0, 2778, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17073, 0, 6358, 29383, 1747, 22602, 9128, 7125, 12704, 26606, 0, 0, 22722, 25556, 0, 18478, 910, 7763, 30788, 3151, 24007, 10533, 8530, 14109, 28011, 1406, 0, 24127, 26961, 0, 0, 0, 0, 6662, 0, 0, 0, 0, 0, 3884, 0, 0, 0, 2835, 0, 0, 0, 0, 3827, 0, 0, 0, 0, 0, 1051, 0, 0, 0, 0}

Returns: 2.204585537918871E-6
15

{0, 54795, 24273, 56222, 50552, 5471, 6138, 28396, 37376, 12976, 42939, 2678, 19125, 40461, 10758, 0, 0, 0, 1428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30523, 0, 31950, 26281, 0, 0, 4123, 13104, 0, 18667, 0, 0, 16188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4242, 0, 5669, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49325, 18803, 50752, 45083, 0, 669, 22926, 31905, 7505, 37469, 0, 13655, 34991, 5287, 0, 48657, 18135, 50083, 44415, 0, 0, 22258, 31238, 6837, 36801, 0, 12987, 34323, 4620, 0, 26400, 0, 27827, 22158, 0, 0, 0, 8980, 0, 14544, 0, 0, 12066, 0, 0, 17420, 0, 18847, 13178, 0, 0, 0, 0, 0, 5563, 0, 0, 3085, 0, 0, 41820, 11298, 43247, 37578, 0, 0, 15421, 24401, 0, 29964, 0, 6150, 27486, 0, 0, 11857, 0, 13284, 7614, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52117, 21595, 53544, 47875, 2792, 3461, 25718, 34698, 10298, 40261, 0, 16447, 37783, 8079, 0, 35671, 5148, 37098, 31429, 0, 0, 9272, 18252, 0, 23815, 0, 0, 21337, 0, 0, 14335, 0, 15762, 10093, 0, 0, 0, 0, 0, 2479, 0, 0, 0, 0, 0, 44038, 13516, 45465, 39796, 0, 0, 17639, 26619, 2219, 32182, 0, 8367, 29704, 0}

Returns: 8.991718647803303E-6
15

{0, 6301, 21437, 28971, 12926, 8527, 5109, 11895, 1028, 18162, 15119, 20178, 8635, 17743, 20560, 0, 0, 15136, 22671, 6626, 2228, 0, 5595, 0, 11862, 8819, 13878, 2335, 11443, 14260, 0, 0, 0, 7535, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8512, 16046, 0, 0, 0, 0, 0, 5237, 2194, 7253, 0, 4818, 7634, 0, 0, 12910, 20444, 4399, 0, 0, 3367, 0, 9635, 6591, 11651, 108, 9216, 12033, 0, 1192, 16328, 23862, 7817, 3419, 0, 6786, 0, 13053, 10010, 15069, 3526, 12634, 15451, 0, 0, 9543, 17077, 1032, 0, 0, 0, 0, 6268, 3224, 8283, 0, 5849, 8665, 0, 5272, 20408, 27942, 11898, 7499, 4082, 10867, 0, 17133, 14091, 19150, 7606, 16715, 19532, 0, 0, 3275, 10810, 0, 0, 0, 0, 0, 0, 0, 2017, 0, 0, 2399, 0, 0, 6319, 13853, 0, 0, 0, 0, 0, 3044, 0, 5060, 0, 2624, 5442, 0, 0, 1260, 8794, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 382, 0, 0, 12803, 20337, 4291, 0, 0, 3261, 0, 9528, 6485, 11544, 0, 9108, 11926, 0, 0, 3695, 11229, 0, 0, 0, 0, 0, 419, 0, 2436, 0, 0, 2818, 0, 0, 878, 8411, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 2.2716269070435736E-4
15

{0, 14054, 33237, 23485, 28794, 31264, 9383, 1801, 22025, 7204, 15580, 22541, 14296, 27967, 18438, 0, 0, 19184, 9431, 14741, 17211, 0, 0, 7972, 0, 1527, 8488, 243, 13915, 4385, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9753, 0, 5309, 7779, 0, 0, 0, 0, 0, 0, 0, 4483, 0, 0, 0, 4443, 0, 0, 2471, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1974, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4670, 23854, 14102, 19411, 21881, 0, 0, 12642, 0, 6197, 13158, 4913, 18585, 9054, 0, 12253, 31436, 21684, 26993, 29462, 7583, 0, 20224, 5402, 13779, 20740, 12495, 26167, 16637, 0, 0, 11213, 1461, 6770, 9240, 0, 0, 0, 0, 0, 517, 0, 5944, 0, 0, 6851, 26034, 16282, 21591, 24061, 2180, 0, 14822, 0, 8377, 15338, 7092, 20765, 11235, 0, 0, 17658, 7906, 13215, 15685, 0, 0, 6446, 0, 0, 6962, 0, 12389, 2859, 0, 0, 10697, 945, 6254, 8724, 0, 0, 0, 0, 0, 0, 0, 5428, 0, 0, 0, 18942, 9190, 14499, 16969, 0, 0, 7729, 0, 1284, 8245, 0, 13673, 4143, 0, 0, 5270, 0, 827, 3297, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14800, 5048, 10356, 12827, 0, 0, 3588, 0, 0, 4104, 0, 9531, 0}

Returns: 7.966056577167689E-6
15

{0, 22182, 18641, 7559, 24631, 22948, 22809, 24732, 17152, 14926, 17394, 22173, 26440, 14325, 26045, 0, 0, 0, 0, 2448, 766, 627, 2549, 0, 0, 0, 0, 4258, 0, 3862, 0, 3543, 0, 0, 5991, 4308, 4169, 6092, 0, 0, 0, 3533, 7800, 0, 7404, 0, 14624, 11082, 0, 17072, 15389, 15250, 17173, 9592, 7366, 9835, 14614, 18881, 6765, 18486, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 1810, 0, 1415, 0, 0, 0, 0, 1684, 0, 0, 1785, 0, 0, 0, 0, 3493, 0, 3098, 0, 0, 0, 0, 1823, 140, 0, 1924, 0, 0, 0, 0, 3631, 0, 3237, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1709, 0, 1314, 0, 5032, 1489, 0, 7480, 5796, 5657, 7581, 0, 0, 242, 5022, 9289, 0, 8894, 0, 7258, 3716, 0, 9706, 8022, 7884, 9807, 2226, 0, 2468, 7248, 11515, 0, 11120, 0, 4790, 1248, 0, 7238, 5555, 5416, 7339, 0, 0, 0, 4780, 9046, 0, 8651, 0, 11, 0, 0, 2459, 776, 637, 2559, 0, 0, 0, 0, 4267, 0, 3873, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7858, 4317, 0, 10306, 8624, 8485, 10408, 2828, 602, 3069, 7848, 12116, 0, 11721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 395, 0, 0}

Returns: 1.751075937583874E-4
15

{0, 9765, 6926, 17388, 7809, 40358, 20242, 4171, 33060, 16511, 13322, 14034, 31967, 25806, 13698, 0, 0, 0, 7623, 0, 30593, 10477, 0, 23295, 6745, 3557, 4269, 22202, 16042, 3933, 0, 2840, 0, 10462, 884, 33432, 13316, 0, 26133, 9585, 6396, 7108, 25041, 18881, 6772, 0, 0, 0, 0, 0, 22971, 2855, 0, 15673, 0, 0, 0, 14580, 8419, 0, 0, 1957, 0, 9579, 0, 32549, 12433, 0, 25251, 8701, 5512, 6225, 24158, 17998, 5888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20117, 0, 0, 12819, 0, 0, 0, 11726, 5566, 0, 0, 5595, 2756, 13217, 3639, 36186, 16071, 0, 28889, 12340, 9151, 9863, 27796, 21636, 9526, 0, 0, 0, 0, 0, 7298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 878, 0, 23848, 3731, 0, 16550, 0, 0, 0, 15457, 9296, 0, 0, 0, 0, 4066, 0, 27037, 6921, 0, 19739, 3190, 0, 713, 18646, 12486, 377, 0, 0, 0, 3355, 0, 26325, 6209, 0, 19027, 2478, 0, 0, 17934, 11774, 0, 0, 0, 0, 0, 0, 8392, 0, 0, 1093, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14552, 0, 0, 7253, 0, 0, 0, 6160, 0, 0, 0, 0, 0, 3691, 0, 26661, 6545, 0, 19363, 2813, 0, 336, 18270, 12110, 0}

Returns: 3.238611311527978E-4
15

{0, 2539, 19476, 9977, 22265, 15378, 16544, 8004, 8088, 10506, 16573, 9031, 2028, 17655, 8492, 0, 0, 16938, 7440, 19727, 12839, 14006, 5467, 5550, 7968, 14035, 6493, 0, 15117, 5954, 0, 0, 0, 0, 2790, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9498, 0, 12288, 5400, 6566, 0, 0, 529, 6596, 0, 0, 7678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4099, 0, 6888, 0, 1167, 0, 0, 0, 1196, 0, 0, 2278, 0, 0, 0, 2933, 0, 5722, 0, 0, 0, 0, 0, 29, 0, 0, 1112, 0, 0, 0, 11472, 1974, 14261, 7374, 8540, 0, 83, 2501, 8569, 1027, 0, 9651, 488, 0, 0, 11388, 1891, 14178, 7291, 8457, 0, 0, 2419, 8486, 943, 0, 9568, 404, 0, 0, 8970, 0, 11759, 4873, 6039, 0, 0, 0, 6068, 0, 0, 7150, 0, 0, 0, 2904, 0, 5692, 0, 0, 0, 0, 0, 0, 0, 0, 1082, 0, 0, 0, 10445, 948, 13235, 6348, 7514, 0, 0, 1476, 7543, 0, 0, 8624, 0, 0, 510, 17448, 7950, 20237, 13350, 14516, 5977, 6060, 8478, 14545, 7002, 0, 15627, 6464, 0, 0, 1821, 0, 4611, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10985, 1487, 13774, 6886, 8053, 0, 0, 2015, 8081, 540, 0, 9164, 0}

Returns: 1.0362490794038413E-4
14

{0, 28661, 13611, 7745, 23333, 46663, 37984, 41154, 40333, 12131, 17815, 26797, 47987, 36093, 0, 0, 0, 0, 0, 18003, 9323, 12493, 11673, 0, 0, 0, 19327, 7434, 0, 15051, 0, 0, 9722, 33053, 24374, 27544, 26723, 0, 4205, 13188, 34377, 22484, 0, 20915, 5865, 0, 15587, 38918, 30239, 33409, 32587, 4386, 10070, 19053, 40242, 28349, 0, 5328, 0, 0, 0, 23330, 14652, 17822, 17000, 0, 0, 3466, 24655, 12762, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1324, 0, 0, 0, 0, 0, 0, 8680, 0, 3171, 2349, 0, 0, 0, 10004, 0, 0, 0, 0, 0, 0, 5509, 0, 0, 0, 0, 0, 0, 6834, 0, 0, 0, 0, 0, 0, 6331, 0, 821, 0, 0, 0, 0, 7655, 0, 0, 16529, 1480, 0, 11202, 34532, 25853, 29023, 28202, 0, 5683, 14667, 35856, 23962, 0, 10847, 0, 0, 5519, 28849, 20169, 23340, 22519, 0, 0, 8983, 30173, 18279, 0, 1864, 0, 0, 0, 19866, 11187, 14357, 13536, 0, 0, 0, 21190, 9296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10570, 1890, 5061, 4240, 0, 0, 0, 11894, 0}

Returns: 4.796918065767272E-4
14

{0, 26707, 22312, 18826, 6863, 13901, 26292, 23976, 12593, 22095, 11457, 33801, 15780, 22390, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7094, 0, 0, 0, 4394, 0, 0, 0, 0, 3980, 1664, 0, 0, 0, 11489, 0, 77, 0, 7882, 3487, 0, 0, 0, 7468, 5152, 0, 3270, 0, 14976, 0, 3565, 0, 19844, 15450, 11962, 0, 7037, 19430, 17114, 5729, 15232, 4594, 26938, 8918, 15526, 0, 12807, 8413, 4926, 0, 0, 12392, 10077, 0, 8194, 0, 19901, 1881, 8490, 0, 415, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7509, 0, 0, 0, 2730, 0, 0, 0, 0, 2316, 0, 0, 0, 0, 9824, 0, 0, 0, 14115, 9721, 6234, 0, 1309, 13701, 11384, 0, 9503, 0, 21208, 3188, 9798, 0, 4612, 219, 0, 0, 0, 4198, 1883, 0, 0, 0, 11707, 0, 296, 0, 15250, 10856, 7369, 0, 2444, 14836, 12520, 1136, 10638, 0, 22343, 4324, 10932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10927, 6533, 3045, 0, 0, 10512, 8196, 0, 6314, 0, 18021, 0, 6610, 0, 4318, 0, 0, 0, 0, 3904, 1588, 0, 0, 0, 11412, 0, 0}

Returns: 0.005448948097757622
14

{0, 18793, 14358, 5214, 16921, 14682, 28243, 10528, 7945, 18875, 10384, 10131, 2000, 4857, 0, 0, 0, 0, 0, 0, 9451, 0, 0, 83, 0, 0, 0, 0, 0, 4434, 0, 0, 2563, 324, 13885, 0, 0, 4516, 0, 0, 0, 0, 0, 13580, 9146, 0, 11708, 9469, 23030, 5314, 2733, 13662, 5171, 4918, 0, 0, 0, 1873, 0, 0, 0, 0, 11322, 0, 0, 1954, 0, 0, 0, 0, 0, 4110, 0, 0, 2239, 0, 13561, 0, 0, 4193, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8266, 3832, 0, 6394, 4156, 17715, 0, 0, 8348, 0, 0, 0, 0, 0, 10848, 6414, 0, 8975, 6737, 20298, 2583, 0, 10930, 2438, 2185, 0, 0, 0, 0, 0, 0, 0, 0, 9368, 0, 0, 0, 0, 0, 0, 0, 0, 8410, 3975, 0, 6538, 4299, 17860, 145, 0, 8492, 0, 0, 0, 0, 0, 8663, 4228, 0, 6790, 4552, 18113, 397, 0, 8745, 254, 0, 0, 0, 0, 16792, 12359, 3213, 14920, 12683, 26243, 8528, 5945, 16875, 8383, 8131, 0, 2857, 0, 13936, 9501, 357, 12064, 9826, 23385, 5671, 3089, 14018, 5527, 5273, 0, 0}

Returns: 0.0030823734246353293
14

{0, 31841, 30890, 6728, 8754, 6111, 24022, 5403, 15019, 21971, 9643, 18653, 25977, 1425, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 950, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25113, 24163, 0, 2025, 0, 17294, 0, 8290, 15244, 2915, 11926, 19249, 0, 0, 23088, 22138, 0, 0, 0, 15268, 0, 6266, 13219, 889, 9900, 17223, 0, 0, 25729, 24780, 618, 2642, 0, 17911, 0, 8908, 15861, 3531, 12543, 19866, 0, 0, 7820, 6870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1956, 0, 0, 26438, 25487, 1325, 3351, 709, 18619, 0, 9616, 16569, 4240, 13251, 20574, 0, 0, 16823, 15873, 0, 0, 0, 9003, 0, 0, 6954, 0, 3636, 10959, 0, 0, 9870, 8919, 0, 0, 0, 2051, 0, 0, 0, 0, 0, 4005, 0, 0, 22199, 21249, 0, 0, 0, 14380, 0, 5377, 12330, 0, 9012, 16334, 0, 0, 13188, 12238, 0, 0, 0, 5369, 0, 0, 3318, 0, 0, 7324, 0, 0, 5865, 4915, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30416, 29466, 5304, 7329, 4687, 22597, 3979, 13594, 20547, 8218, 17229, 24552, 0}

Returns: 0.004664666792642983
14

{0, 16688, 4347, 12929, 12074, 7051, 10150, 19237, 2779, 8803, 5849, 15046, 13900, 8990, 0, 0, 0, 0, 0, 0, 0, 2550, 0, 0, 0, 0, 0, 0, 0, 12340, 0, 8583, 7727, 2704, 5803, 14889, 0, 4457, 1501, 10699, 9552, 4642, 0, 3758, 0, 0, 0, 0, 0, 6307, 0, 0, 0, 2117, 970, 0, 0, 4615, 0, 857, 0, 0, 0, 7164, 0, 0, 0, 2973, 1827, 0, 0, 9638, 0, 5880, 5023, 0, 3100, 12187, 0, 1754, 0, 7996, 6850, 1940, 0, 6539, 0, 2781, 1925, 0, 0, 9088, 0, 0, 0, 4896, 3750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13909, 1568, 10150, 9295, 4271, 7370, 16458, 0, 6025, 3069, 12267, 11121, 6211, 0, 7885, 0, 4127, 3271, 0, 1347, 10434, 0, 0, 0, 6242, 5096, 186, 0, 10839, 0, 7081, 6226, 1203, 4301, 13389, 0, 2956, 0, 9197, 8052, 3141, 0, 1643, 0, 0, 0, 0, 0, 4191, 0, 0, 0, 0, 0, 0, 0, 2788, 0, 0, 0, 0, 0, 5338, 0, 0, 0, 1146, 0, 0, 0, 7698, 0, 3941, 3084, 0, 1161, 10248, 0, 0, 0, 6057, 4910, 0}

Returns: 0.003087507799189347
14

{0, 5346, 8893, 6774, 12517, 10536, 737, 3875, 9497, 6751, 14774, 5963, 12314, 86, 0, 0, 3549, 1428, 7171, 5191, 0, 0, 4153, 1407, 9429, 618, 6969, 0, 0, 0, 0, 0, 3624, 1643, 0, 0, 605, 0, 5880, 0, 3422, 0, 0, 0, 2121, 0, 5744, 3763, 0, 0, 2725, 0, 8001, 0, 5541, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2258, 0, 0, 0, 0, 0, 0, 0, 1982, 0, 0, 0, 0, 0, 4239, 0, 1780, 0, 0, 4609, 8158, 6038, 11781, 9800, 0, 3138, 8762, 6016, 14038, 5226, 11579, 0, 0, 1471, 5020, 2900, 8642, 6662, 0, 0, 5624, 2878, 10900, 2088, 8441, 0, 0, 0, 0, 0, 3019, 1039, 0, 0, 0, 0, 5277, 0, 2818, 0, 0, 0, 2142, 23, 5766, 3785, 0, 0, 2746, 0, 8023, 0, 5564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2932, 811, 6555, 4573, 0, 0, 3536, 790, 8812, 0, 6353, 0, 0, 0, 0, 0, 202, 0, 0, 0, 0, 0, 2460, 0, 0, 0, 0, 5259, 8807, 6687, 12431, 10450, 650, 3788, 9412, 6666, 14688, 5877, 12228, 0}

Returns: 9.917091836734694E-4
14

{0, 16204, 11769, 38984, 32925, 1369, 8932, 11317, 44352, 26433, 9723, 26244, 16607, 41927, 0, 0, 0, 22780, 16721, 0, 0, 0, 28148, 10230, 0, 10040, 403, 25723, 0, 4436, 0, 27216, 21157, 0, 0, 0, 32584, 14666, 0, 14476, 4839, 30159, 0, 0, 0, 0, 0, 0, 0, 0, 5368, 0, 0, 0, 0, 2943, 0, 0, 0, 6059, 0, 0, 0, 0, 11428, 0, 0, 0, 0, 9002, 0, 14836, 10400, 37614, 31555, 0, 7563, 9948, 42982, 25064, 8354, 24875, 15239, 40558, 0, 7272, 2837, 30052, 23993, 0, 0, 2385, 35420, 17502, 791, 17312, 7675, 32995, 0, 4887, 451, 27667, 21607, 0, 0, 0, 33034, 15117, 0, 14927, 5290, 30610, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12551, 6491, 0, 0, 0, 17918, 0, 0, 0, 0, 15493, 0, 6481, 2045, 29260, 23202, 0, 0, 1595, 34629, 16710, 0, 16520, 6885, 32203, 0, 0, 0, 12740, 6682, 0, 0, 0, 18109, 191, 0, 0, 0, 15684, 0, 0, 0, 22376, 16318, 0, 0, 0, 27745, 9826, 0, 9636, 0, 25319, 0, 0, 0, 0, 0, 0, 0, 0, 2426, 0, 0, 0, 0, 0}

Returns: 0.015142281660138803
14

{0, 42446, 8993, 21611, 15285, 30013, 11851, 33275, 39820, 15260, 47035, 37969, 51062, 23994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4590, 0, 8617, 0, 0, 33453, 0, 12619, 6291, 21021, 2858, 24282, 30827, 6267, 38042, 28977, 42069, 15001, 0, 20835, 0, 0, 0, 8403, 0, 11665, 18209, 0, 25423, 16359, 29452, 2383, 0, 27162, 0, 6327, 0, 14730, 0, 17992, 24536, 0, 31751, 22685, 35779, 8711, 0, 12432, 0, 0, 0, 0, 0, 3262, 9807, 0, 17022, 7956, 21049, 0, 0, 30594, 0, 9760, 3434, 18163, 0, 21424, 27968, 3408, 35184, 26119, 39211, 12144, 0, 9171, 0, 0, 0, 0, 0, 0, 6545, 0, 13760, 4695, 17788, 0, 0, 2626, 0, 0, 0, 0, 0, 0, 0, 0, 7215, 0, 11243, 0, 0, 27187, 0, 6353, 25, 14755, 0, 18017, 24561, 0, 31776, 22710, 35803, 8735, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4028, 0, 0, 4476, 0, 0, 0, 0, 0, 0, 1850, 0, 9066, 0, 13094, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18452, 0, 0, 0, 6019, 0, 9282, 15825, 0, 23040, 13976, 27069, 0}

Returns: 0.010201290112004397
14

{0, 18818, 7011, 23093, 20565, 28778, 16424, 16054, 14594, 17482, 26082, 14420, 10948, 11343, 0, 0, 0, 4274, 1746, 9960, 0, 0, 0, 0, 7263, 0, 0, 0, 0, 11808, 0, 16082, 13554, 21768, 9413, 9043, 7582, 10471, 19071, 7410, 3937, 4331, 0, 0, 0, 0, 0, 5686, 0, 0, 0, 0, 2989, 0, 0, 0, 0, 0, 0, 2529, 0, 8215, 0, 0, 0, 0, 5517, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2395, 0, 6668, 4141, 12355, 0, 0, 0, 1058, 9657, 0, 0, 0, 0, 2765, 0, 7040, 4512, 12725, 371, 0, 0, 1429, 10029, 0, 0, 0, 0, 4226, 0, 8499, 5971, 14185, 1832, 1460, 0, 2889, 11488, 0, 0, 0, 0, 1337, 0, 5611, 3083, 11297, 0, 0, 0, 0, 8600, 0, 0, 0, 0, 0, 0, 0, 0, 2698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4399, 0, 8672, 6144, 14359, 2005, 1633, 174, 3061, 11662, 0, 0, 0, 0, 7871, 0, 12144, 9616, 17830, 5476, 5106, 3646, 6534, 15134, 3472, 0, 394, 0, 7476, 0, 11751, 9223, 17437, 5082, 4711, 3252, 6140, 14740, 3079, 0, 0}

Returns: 0.005803281539888683
14

{0, 15773, 21714, 2820, 12965, 18067, 19091, 10695, 19619, 18286, 8321, 33529, 31063, 21834, 0, 0, 5941, 0, 0, 2295, 3318, 0, 3845, 2512, 0, 17755, 15290, 6061, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11815, 9349, 122, 0, 12954, 18893, 0, 10144, 15247, 16271, 7875, 16799, 15466, 5502, 30709, 28243, 19014, 0, 2809, 8750, 0, 0, 5104, 6128, 0, 6654, 5321, 0, 20564, 18098, 8870, 0, 0, 3647, 0, 0, 0, 1024, 0, 1552, 218, 0, 15462, 12996, 3767, 0, 0, 2623, 0, 0, 0, 0, 0, 527, 0, 0, 14437, 11972, 2743, 0, 5079, 11019, 0, 2270, 7373, 8398, 0, 8924, 7592, 0, 22835, 20369, 11141, 0, 0, 2095, 0, 0, 0, 0, 0, 0, 0, 0, 13910, 11444, 2217, 0, 0, 3428, 0, 0, 0, 807, 0, 1334, 0, 0, 15244, 12778, 3550, 0, 7452, 13393, 0, 4643, 9746, 10770, 2373, 11298, 9964, 0, 25207, 22742, 13514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2466, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11694, 9229, 0}

Returns: 0.006722065274892656
14

{0, 17750, 27490, 16178, 18157, 20686, 8770, 8926, 20691, 12352, 30228, 13861, 22095, 13754, 0, 0, 9740, 0, 409, 2937, 0, 0, 2943, 0, 12479, 0, 4346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2740, 0, 0, 0, 0, 1571, 11312, 0, 1980, 4508, 0, 0, 4513, 0, 14051, 0, 5918, 0, 0, 0, 9332, 0, 0, 2530, 0, 0, 2534, 0, 12071, 0, 3938, 0, 0, 0, 6803, 0, 0, 0, 0, 0, 6, 0, 9542, 0, 1409, 0, 0, 8980, 18720, 7408, 9388, 11917, 0, 157, 11921, 3581, 21458, 5090, 13326, 4984, 0, 8823, 18563, 7253, 9231, 11760, 0, 0, 11765, 3425, 21303, 4935, 13169, 4829, 0, 0, 6799, 0, 0, 0, 0, 0, 0, 0, 9538, 0, 1405, 0, 0, 5398, 15138, 3827, 5807, 8336, 0, 0, 8340, 0, 17877, 1510, 9745, 1404, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3889, 13630, 2318, 4297, 6826, 0, 0, 6831, 0, 16368, 0, 8235, 0, 0, 0, 5395, 0, 0, 0, 0, 0, 0, 0, 8133, 0, 0, 0, 0, 3996, 13736, 2425, 4403, 6933, 0, 0, 6937, 0, 16475, 107, 8341, 0}

Returns: 0.016063161375661376
14

{0, 7839, 15277, 10755, 19861, 9439, 3284, 13874, 13243, 9936, 976, 8717, 3506, 3969, 0, 0, 7439, 2915, 12023, 1600, 0, 6035, 5404, 2097, 0, 878, 0, 0, 0, 0, 0, 0, 4584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4523, 0, 9108, 0, 0, 3121, 2489, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5840, 1316, 10424, 0, 0, 4436, 3805, 497, 0, 0, 0, 0, 0, 4556, 11993, 7470, 16578, 6155, 0, 10591, 9958, 6652, 0, 5433, 221, 685, 0, 0, 1403, 0, 5988, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2036, 0, 6620, 0, 0, 632, 0, 0, 0, 0, 0, 0, 0, 0, 5342, 819, 9927, 0, 0, 3940, 3308, 0, 0, 0, 0, 0, 0, 6863, 14301, 9778, 18886, 8463, 2308, 12898, 12266, 8959, 0, 7740, 2529, 2993, 0, 0, 6561, 2039, 11146, 722, 0, 5159, 4526, 1220, 0, 0, 0, 0, 0, 4334, 11773, 7249, 16357, 5934, 0, 10370, 9738, 6430, 0, 5212, 0, 463, 0, 3871, 11310, 6786, 15893, 5471, 0, 9907, 9274, 5968, 0, 4749, 0, 0}

Returns: 0.0025669642857142857
15

{0, 10012, 24680, 37255, 6343, 30687, 25095, 12835, 2808, 19215, 12778, 5044, 15635, 22526, 4721, 0, 0, 14669, 27243, 0, 20676, 15084, 2824, 0, 9203, 2768, 0, 5623, 12515, 0, 0, 0, 0, 12576, 0, 6009, 415, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3669, 18337, 30912, 0, 24345, 18752, 6491, 0, 12871, 6435, 0, 9292, 16183, 0, 0, 0, 0, 6567, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12160, 0, 5594, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11846, 24421, 0, 17853, 12261, 0, 0, 6381, 0, 0, 2800, 9693, 0, 0, 7204, 21872, 34446, 3535, 27879, 22287, 10027, 0, 16407, 9971, 2236, 12827, 19718, 1913, 0, 0, 5465, 18040, 0, 11473, 5880, 0, 0, 0, 0, 0, 0, 3313, 0, 0, 0, 11901, 24476, 0, 17910, 12316, 56, 0, 6436, 0, 0, 2856, 9749, 0, 0, 4967, 19636, 32210, 1300, 25644, 20051, 7791, 0, 14171, 7734, 0, 10590, 17482, 0, 0, 0, 9046, 21621, 0, 15053, 9461, 0, 0, 3580, 0, 0, 0, 6892, 0, 0, 0, 2153, 14729, 0, 8161, 2568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5291, 19959, 32533, 1622, 25966, 20373, 8114, 0, 14493, 8058, 324, 10914, 17806, 0}

Returns: 0.008403435060677124
15

{0, 40575, 10157, 26941, 6769, 5043, 16603, 22498, 23880, 35787, 32037, 36010, 30380, 15649, 9467, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30418, 0, 16785, 0, 0, 6447, 12343, 13724, 25631, 21881, 25853, 20225, 5493, 0, 0, 13634, 0, 0, 0, 0, 0, 0, 0, 8845, 5096, 9069, 3439, 0, 0, 0, 33805, 3387, 20172, 0, 0, 9834, 15730, 17112, 29018, 25268, 29240, 23612, 8880, 2699, 0, 35532, 5113, 21899, 1726, 0, 11561, 17455, 18837, 30744, 26993, 30967, 25337, 10606, 4424, 0, 23972, 0, 10339, 0, 0, 0, 5895, 7277, 19184, 15434, 19406, 13778, 0, 0, 0, 18077, 0, 4443, 0, 0, 0, 0, 1382, 13288, 9539, 13512, 7882, 0, 0, 0, 16694, 0, 3061, 0, 0, 0, 0, 0, 11907, 8156, 12130, 6501, 0, 0, 0, 4788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 223, 0, 0, 0, 0, 8538, 0, 0, 0, 0, 0, 0, 0, 3750, 0, 3973, 0, 0, 0, 0, 4565, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10194, 0, 0, 0, 0, 0, 0, 0, 5406, 1657, 5629, 0, 0, 0, 0, 24926, 0, 11292, 0, 0, 955, 6850, 8231, 20138, 16387, 20360, 14731, 0, 0, 0, 31107, 689, 17474, 0, 0, 7137, 13032, 14413, 26320, 22569, 26543, 20913, 6182, 0}

Returns: 0.023462505748220033
15

{0, 33977, 2245, 38051, 12089, 6868, 12385, 30450, 3443, 18811, 3393, 9494, 4542, 27489, 33042, 0, 0, 0, 4074, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31732, 0, 35805, 9845, 4623, 10141, 28204, 1198, 16567, 1149, 7250, 2297, 25245, 30797, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21889, 0, 25962, 0, 0, 296, 18360, 0, 6723, 0, 0, 0, 15401, 20954, 0, 27110, 0, 31182, 5221, 0, 5518, 23581, 0, 11944, 0, 2627, 0, 20621, 26174, 0, 21592, 0, 25665, 0, 0, 0, 18064, 0, 6426, 0, 0, 0, 15104, 20658, 0, 3528, 0, 7602, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2593, 0, 30534, 0, 34607, 8646, 3426, 8943, 27007, 0, 15369, 0, 6051, 1099, 24046, 29600, 0, 15167, 0, 19239, 0, 0, 0, 11639, 0, 0, 0, 0, 0, 8678, 14231, 0, 30584, 0, 34657, 8696, 3475, 8993, 27057, 50, 15418, 0, 6102, 1149, 24097, 29649, 0, 24483, 0, 28557, 2596, 0, 2891, 20956, 0, 9317, 0, 0, 0, 17995, 23549, 0, 29435, 0, 33508, 7548, 2327, 7844, 25907, 0, 14269, 0, 4953, 0, 22947, 28500, 0, 6489, 0, 10561, 0, 0, 0, 2960, 0, 0, 0, 0, 0, 0, 5553, 0, 936, 0, 5008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.05182539682539682
15

{0, 22220, 9727, 25442, 17481, 18982, 16393, 17281, 30349, 7343, 24841, 12169, 24524, 14065, 17240, 0, 0, 0, 3222, 0, 0, 0, 0, 8130, 0, 2620, 0, 2304, 0, 0, 0, 12493, 0, 15715, 7753, 9256, 6665, 7554, 20622, 0, 15114, 2442, 14798, 4337, 7514, 0, 0, 0, 0, 0, 0, 0, 0, 4909, 0, 0, 0, 0, 0, 0, 0, 4741, 0, 7962, 0, 1503, 0, 0, 12870, 0, 7360, 0, 7045, 0, 0, 0, 3238, 0, 6459, 0, 0, 0, 0, 11368, 0, 5858, 0, 5543, 0, 0, 0, 5829, 0, 9049, 1089, 2590, 0, 889, 13958, 0, 8449, 0, 8133, 0, 849, 0, 4941, 0, 8161, 201, 1702, 0, 0, 13070, 0, 7560, 0, 7244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14877, 2385, 18098, 10138, 11640, 9049, 9938, 23007, 0, 17498, 4825, 17181, 6722, 9898, 0, 0, 0, 601, 0, 0, 0, 0, 5509, 0, 0, 0, 0, 0, 0, 0, 10053, 0, 13273, 5313, 6815, 4224, 5112, 18181, 0, 12672, 0, 12356, 1896, 5072, 0, 0, 0, 918, 0, 0, 0, 0, 5825, 0, 317, 0, 0, 0, 0, 0, 8156, 0, 11378, 3416, 4919, 2328, 3216, 16285, 0, 10777, 0, 10460, 0, 3177, 0, 4981, 0, 8201, 240, 1743, 0, 40, 13110, 0, 7600, 0, 7284, 0, 0}

Returns: 0.005629364633994264
15

{0, 26055, 18623, 28283, 5680, 8046, 25296, 19176, 13841, 15411, 21905, 13584, 33777, 27565, 15706, 0, 0, 0, 2228, 0, 0, 0, 0, 0, 0, 0, 0, 7724, 1510, 0, 0, 7432, 0, 9660, 0, 0, 6672, 553, 0, 0, 3283, 0, 15154, 8941, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5495, 0, 0, 0, 20375, 12944, 22602, 0, 2366, 19616, 13495, 8160, 9732, 16226, 7903, 28098, 21884, 10026, 0, 18008, 10578, 20236, 0, 0, 17250, 11129, 5795, 7366, 13860, 5537, 25732, 19519, 7659, 0, 760, 0, 2987, 0, 0, 0, 0, 0, 0, 0, 0, 8483, 2270, 0, 0, 6880, 0, 9107, 0, 0, 6120, 0, 0, 0, 2731, 0, 14602, 8389, 0, 0, 12215, 4783, 14442, 0, 0, 11456, 5336, 0, 1571, 8065, 0, 19937, 13725, 1865, 0, 10643, 3212, 12872, 0, 0, 9884, 3764, 0, 0, 6494, 0, 18367, 12153, 294, 0, 4149, 0, 6378, 0, 0, 3391, 0, 0, 0, 0, 0, 11873, 5660, 0, 0, 12471, 5040, 14699, 0, 0, 11713, 5592, 257, 1828, 8322, 0, 20195, 13982, 2123, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 718, 0, 0, 0, 0, 0, 0, 0, 0, 6213, 0, 0, 0, 10350, 2919, 12578, 0, 0, 9591, 3470, 0, 0, 6201, 0, 18073, 11860, 0}

Returns: 0.008304044206821985
15

{0, 9274, 15778, 889, 14583, 10774, 15362, 7019, 2216, 6817, 10164, 9777, 4418, 6184, 16920, 0, 0, 6506, 0, 5311, 1501, 6088, 0, 0, 0, 891, 503, 0, 0, 7647, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1142, 0, 8384, 14889, 0, 13695, 9885, 14472, 6130, 1327, 5929, 9275, 8887, 3530, 5295, 16030, 0, 0, 1195, 0, 0, 0, 779, 0, 0, 0, 0, 0, 0, 0, 2336, 0, 0, 5006, 0, 3811, 0, 4589, 0, 0, 0, 0, 0, 0, 0, 6146, 0, 0, 417, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1559, 0, 2255, 8759, 0, 7564, 3754, 8343, 0, 0, 0, 3145, 2757, 0, 0, 9901, 0, 7057, 13563, 0, 12367, 8557, 13146, 4804, 0, 4602, 7948, 7560, 2203, 3968, 14704, 0, 2456, 8962, 0, 7766, 3957, 8545, 202, 0, 0, 3347, 2959, 0, 0, 10102, 0, 0, 5615, 0, 4420, 609, 5197, 0, 0, 0, 0, 0, 0, 0, 6755, 0, 0, 6002, 0, 4807, 997, 5586, 0, 0, 0, 388, 0, 0, 0, 7144, 0, 4856, 11361, 0, 10165, 6356, 10944, 2601, 0, 2399, 5746, 5358, 0, 1767, 12502, 0, 3090, 9594, 0, 8400, 4590, 9177, 836, 0, 633, 3981, 3593, 0, 0, 10736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.02310124520541187
14

{0, 49939, 21934, 19192, 38315, 12467, 45170, 43224, 39936, 47046, 9064, 32111, 22257, 3082, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28006, 0, 0, 16380, 0, 23237, 21289, 18002, 25113, 0, 10177, 323, 0, 0, 30748, 2743, 0, 19123, 0, 25980, 24032, 20745, 27855, 0, 12920, 3066, 0, 0, 11625, 0, 0, 0, 0, 6856, 4910, 1622, 8732, 0, 0, 0, 0, 0, 37473, 9467, 6724, 25847, 0, 32703, 30756, 27470, 34579, 0, 19645, 9790, 0, 0, 4769, 0, 0, 0, 0, 0, 0, 0, 1876, 0, 0, 0, 0, 0, 6717, 0, 0, 0, 0, 1947, 0, 0, 3823, 0, 0, 0, 0, 0, 10003, 0, 0, 0, 0, 5234, 3287, 0, 7110, 0, 0, 0, 0, 0, 2893, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40875, 12871, 10128, 29250, 3403, 36107, 34160, 30872, 37983, 0, 23047, 13193, 0, 0, 17828, 0, 0, 6203, 0, 13059, 11112, 7825, 14935, 0, 0, 0, 0, 0, 27682, 0, 0, 16057, 0, 22913, 20966, 17680, 24790, 0, 9854, 0, 0, 0, 46857, 18852, 16109, 35232, 9386, 42088, 40141, 36854, 43964, 5982, 29030, 19175, 0}

Returns: 0.036904761904761905
14

{0, 29673, 25736, 4265, 16285, 29622, 26971, 12500, 19532, 730, 33879, 10552, 21749, 28514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4205, 0, 0, 0, 0, 3937, 0, 0, 0, 3886, 1235, 0, 0, 0, 8142, 0, 0, 2778, 0, 25408, 21472, 0, 12020, 25357, 22706, 8235, 15268, 0, 29613, 6287, 17483, 24249, 0, 13388, 9451, 0, 0, 13337, 10686, 0, 3248, 0, 17593, 0, 5463, 12229, 0, 51, 0, 0, 0, 0, 0, 0, 0, 0, 4256, 0, 0, 0, 0, 2702, 0, 0, 0, 2651, 0, 0, 0, 0, 6907, 0, 0, 1543, 0, 17173, 13236, 0, 3785, 17122, 14471, 0, 7033, 0, 21378, 0, 9249, 16014, 0, 10141, 6205, 0, 0, 10090, 7439, 0, 0, 0, 14347, 0, 2217, 8982, 0, 28943, 25006, 3535, 15556, 28892, 26241, 11770, 18802, 0, 33148, 9822, 21018, 27785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19122, 15185, 0, 5733, 19070, 16419, 1948, 8980, 0, 23326, 0, 11197, 17963, 0, 7925, 3988, 0, 0, 7874, 5223, 0, 0, 0, 12130, 0, 0, 6766, 0, 1159, 0, 0, 0, 1108, 0, 0, 0, 0, 5365, 0, 0, 0}

Returns: 0.048701298701298704
14

{0, 4217, 38060, 40422, 22401, 11803, 37250, 29148, 44153, 808, 37337, 37368, 3894, 13446, 0, 0, 33843, 36205, 18185, 7586, 33033, 24932, 39936, 0, 33120, 33151, 0, 9228, 0, 0, 0, 2363, 0, 0, 0, 0, 6093, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3732, 0, 0, 0, 0, 0, 0, 0, 15659, 18022, 0, 0, 14849, 6747, 21753, 0, 14936, 14967, 0, 0, 0, 0, 26257, 28620, 10598, 0, 25447, 17345, 32350, 0, 25534, 25565, 0, 1642, 0, 0, 810, 3172, 0, 0, 0, 0, 6903, 0, 87, 119, 0, 0, 0, 0, 8912, 11274, 0, 0, 8102, 0, 15005, 0, 8189, 8220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3409, 37252, 39615, 21593, 10996, 36443, 28340, 43345, 0, 36529, 36560, 3086, 12637, 0, 0, 723, 3085, 0, 0, 0, 0, 6816, 0, 0, 31, 0, 0, 0, 0, 692, 3055, 0, 0, 0, 0, 6785, 0, 0, 0, 0, 0, 0, 323, 34166, 36528, 18507, 7909, 33356, 25255, 40260, 0, 33443, 33474, 0, 9551, 0, 0, 24615, 26977, 8956, 0, 23805, 15703, 30708, 0, 23892, 23923, 0, 0}

Returns: 0.05714285714285714
14

{0, 12107, 19553, 32909, 30067, 18763, 6489, 22013, 17143, 15479, 24617, 19246, 9561, 8144, 0, 0, 7447, 20803, 17960, 6657, 0, 9907, 5037, 3373, 12511, 7140, 0, 0, 0, 0, 0, 13355, 10514, 0, 0, 2461, 0, 0, 5064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2842, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 791, 14146, 11304, 0, 0, 3251, 0, 0, 5855, 484, 0, 0, 0, 5617, 13064, 26420, 23577, 12274, 0, 15524, 10655, 8990, 18128, 12758, 3073, 1655, 0, 0, 0, 10895, 8053, 0, 0, 0, 0, 0, 2604, 0, 0, 0, 0, 0, 2410, 15765, 12923, 1619, 0, 4870, 0, 0, 7474, 2104, 0, 0, 0, 0, 4075, 17430, 14587, 3284, 0, 6534, 1664, 0, 9138, 3768, 0, 0, 0, 0, 0, 8291, 5449, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 307, 13662, 10820, 0, 0, 2768, 0, 0, 5371, 0, 0, 0, 0, 2545, 9992, 23347, 20505, 9201, 0, 12453, 7582, 5918, 15056, 9686, 0, 0, 0, 3963, 11409, 24764, 21922, 10618, 0, 13870, 8999, 7336, 16473, 11103, 1417, 0}

Returns: 0.03012080512080512
14

{0, 6531, 13476, 11733, 9088, 9361, 13932, 15251, 14817, 4896, 23965, 15728, 4490, 11309, 0, 0, 6945, 5202, 2557, 2831, 7401, 8720, 8287, 0, 17434, 9196, 0, 4778, 0, 0, 0, 0, 0, 0, 456, 1775, 1342, 0, 10489, 2251, 0, 0, 0, 0, 1745, 0, 0, 0, 2201, 3519, 3085, 0, 12233, 3995, 0, 0, 0, 0, 4388, 2645, 0, 273, 4844, 6163, 5729, 0, 14878, 6639, 0, 2222, 0, 0, 4115, 2372, 0, 0, 4571, 5891, 5456, 0, 14604, 6367, 0, 1948, 0, 0, 0, 0, 0, 0, 0, 1320, 886, 0, 10034, 1795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8714, 477, 0, 0, 0, 0, 0, 0, 0, 0, 0, 435, 0, 0, 9148, 911, 0, 0, 0, 1635, 8580, 6837, 4192, 4465, 9036, 10355, 9922, 0, 19069, 10831, 0, 6413, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8239, 0, 0, 0, 0, 2041, 8986, 7242, 4598, 4871, 9442, 10761, 10328, 406, 19476, 11237, 0, 6819, 0, 0, 2167, 423, 0, 0, 2623, 3942, 3508, 0, 12657, 4418, 0, 0}

Returns: 0.042328042328042326
14

{0, 103, 3420, 11420, 15818, 13005, 3480, 5826, 8473, 15646, 15563, 9244, 9102, 1257, 0, 0, 3317, 11318, 15715, 12902, 3377, 5723, 8370, 15543, 15461, 9141, 8999, 1154, 0, 0, 0, 8000, 12398, 9585, 60, 2407, 5053, 12226, 12144, 5825, 5682, 0, 0, 0, 0, 0, 4398, 1586, 0, 0, 0, 4226, 4143, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2813, 0, 0, 0, 0, 2642, 2558, 0, 0, 0, 0, 0, 0, 7940, 12338, 9526, 0, 2346, 4994, 12166, 12083, 5764, 5622, 0, 0, 0, 0, 5594, 9992, 7179, 0, 0, 2647, 9820, 9738, 3418, 3276, 0, 0, 0, 0, 2948, 7345, 4532, 0, 0, 0, 7173, 7090, 771, 629, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 255, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 2177, 6574, 3761, 0, 0, 0, 6402, 6319, 0, 0, 0, 0, 0, 0, 2318, 6717, 3903, 0, 0, 0, 6545, 6461, 143, 0, 0, 0, 0, 2163, 10164, 14562, 11748, 2223, 4569, 7217, 14389, 14306, 7987, 7845, 0}

Returns: 0.07142857142857142
15

{0, 28326, 14176, 44783, 44550, 8883, 34660, 8753, 25406, 37326, 24082, 39592, 38502, 45508, 37493, 0, 0, 0, 16458, 16225, 0, 6335, 0, 0, 9002, 0, 11267, 10177, 17183, 9168, 0, 14149, 0, 30607, 30374, 0, 20484, 0, 11230, 23151, 9906, 25416, 24326, 31332, 23317, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 725, 0, 0, 0, 0, 233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 958, 0, 0, 19442, 5293, 35900, 35667, 0, 25777, 0, 16523, 28444, 15199, 30709, 29620, 36625, 28610, 0, 0, 0, 10123, 9890, 0, 0, 0, 0, 2666, 0, 4932, 3842, 10848, 2833, 0, 19572, 5423, 36030, 35797, 130, 25907, 0, 16653, 28573, 15329, 30839, 29749, 36755, 28740, 0, 2920, 0, 19377, 19144, 0, 9254, 0, 0, 11920, 0, 14187, 13096, 20102, 12087, 0, 0, 0, 7457, 7224, 0, 0, 0, 0, 0, 0, 2266, 1176, 8182, 167, 0, 4243, 0, 20701, 20468, 0, 10578, 0, 1324, 13244, 0, 15510, 14420, 21426, 13411, 0, 0, 0, 5191, 4958, 0, 0, 0, 0, 0, 0, 0, 0, 5916, 0, 0, 0, 0, 6281, 6048, 0, 0, 0, 0, 0, 0, 1090, 0, 7006, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7290, 7057, 0, 0, 0, 0, 0, 0, 2099, 1009, 8015, 0}

Returns: 0.05333333333333334
15

{0, 4922, 15656, 15531, 24236, 846, 9008, 9045, 23388, 15101, 20830, 15721, 23899, 2941, 19313, 0, 0, 10735, 10609, 19314, 0, 4086, 4123, 18467, 10179, 15908, 10799, 18977, 0, 14392, 0, 0, 0, 0, 8580, 0, 0, 0, 7732, 0, 5174, 65, 8243, 0, 3657, 0, 0, 125, 0, 8705, 0, 0, 0, 7857, 0, 5299, 190, 8368, 0, 3782, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4076, 14810, 14685, 23390, 0, 8162, 8199, 22542, 14255, 19984, 14875, 23053, 2095, 18467, 0, 0, 6649, 6523, 15228, 0, 0, 37, 14380, 6093, 11822, 6713, 14891, 0, 10305, 0, 0, 6611, 6486, 15191, 0, 0, 0, 14343, 6056, 11785, 6677, 14854, 0, 10268, 0, 0, 0, 0, 848, 0, 0, 0, 0, 0, 0, 0, 511, 0, 0, 0, 0, 555, 430, 9135, 0, 0, 0, 8287, 0, 5729, 620, 8798, 0, 4212, 0, 0, 0, 0, 3406, 0, 0, 0, 2558, 0, 0, 0, 3070, 0, 0, 0, 0, 0, 0, 8516, 0, 0, 0, 7667, 0, 5110, 0, 8178, 0, 3592, 0, 0, 0, 0, 337, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1981, 12715, 12590, 21295, 0, 6067, 6104, 20447, 12160, 17889, 12780, 20958, 0, 16372, 0, 0, 0, 0, 4923, 0, 0, 0, 4075, 0, 1517, 0, 4586, 0, 0}

Returns: 0.06666666666666667
15

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Returns: 0.06190476190476191
15

{0, 6223, 25636, 20958, 32308, 18927, 8417, 16853, 18914, 9586, 15870, 11615, 37672, 9138, 16891, 0, 0, 19413, 14735, 26085, 12704, 2194, 10630, 12691, 3363, 9647, 5391, 31449, 2916, 10668, 0, 0, 0, 0, 6672, 0, 0, 0, 0, 0, 0, 0, 12036, 0, 0, 0, 0, 4678, 0, 11350, 0, 0, 0, 0, 0, 0, 0, 16714, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5364, 0, 0, 0, 0, 6709, 2031, 13381, 0, 0, 0, 0, 0, 0, 0, 18745, 0, 0, 0, 0, 17220, 12541, 23891, 10510, 0, 8437, 10497, 1169, 7454, 3197, 29255, 722, 8474, 0, 0, 8783, 4105, 15455, 2074, 0, 0, 2061, 0, 0, 0, 20819, 0, 38, 0, 0, 6722, 2044, 13394, 13, 0, 0, 0, 0, 0, 0, 18758, 0, 0, 0, 0, 16050, 11372, 22722, 9341, 0, 7267, 9328, 0, 6284, 2028, 28086, 0, 7305, 0, 0, 9766, 5088, 16438, 3057, 0, 983, 3044, 0, 0, 0, 21802, 0, 1021, 0, 0, 14022, 9344, 20694, 7313, 0, 5239, 7300, 0, 4256, 0, 26058, 0, 5277, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16499, 11820, 23170, 9789, 0, 7716, 9776, 449, 6732, 2477, 28534, 0, 7753, 0, 0, 8745, 4067, 15417, 2036, 0, 0, 2023, 0, 0, 0, 20781, 0, 0}

Returns: 0.05
15

{0, 13962, 10693, 21643, 16494, 12272, 12206, 5816, 107, 19939, 14332, 20708, 5992, 14894, 7473, 0, 0, 0, 7682, 2532, 0, 0, 0, 0, 5976, 369, 6746, 0, 932, 0, 0, 3269, 0, 10950, 5801, 1579, 1514, 0, 0, 9245, 3638, 10015, 0, 4201, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5149, 0, 0, 0, 0, 0, 3444, 0, 4214, 0, 0, 0, 0, 1691, 0, 9371, 4222, 0, 0, 0, 0, 7666, 2059, 8437, 0, 2622, 0, 0, 1756, 0, 9437, 4288, 66, 0, 0, 0, 7732, 2125, 8502, 0, 2688, 0, 0, 8146, 4877, 15827, 10678, 6456, 6390, 0, 0, 14122, 8515, 14892, 176, 9078, 1657, 0, 13855, 10586, 21536, 16387, 12165, 12100, 5709, 0, 19831, 14224, 20601, 5885, 14787, 7366, 0, 0, 0, 1705, 0, 0, 0, 0, 0, 0, 0, 770, 0, 0, 0, 0, 0, 0, 7312, 2163, 0, 0, 0, 0, 5607, 0, 6377, 0, 563, 0, 0, 0, 0, 935, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7970, 4701, 15651, 10502, 6280, 6214, 0, 0, 13946, 8339, 14716, 0, 8902, 1481, 0, 0, 0, 6749, 1600, 0, 0, 0, 0, 5044, 0, 5814, 0, 0, 0, 0, 6489, 3220, 14170, 9021, 4799, 4733, 0, 0, 12465, 6858, 13235, 0, 7421, 0}

Returns: 0.05432098765432099
15

{0, 11361, 12333, 19934, 23536, 10277, 19281, 10627, 5124, 23475, 6171, 1876, 10553, 5452, 8476, 0, 0, 972, 8573, 12175, 0, 7921, 0, 0, 12114, 0, 0, 0, 0, 0, 0, 0, 0, 7601, 11203, 0, 6948, 0, 0, 11141, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3602, 0, 0, 0, 0, 3540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1084, 2056, 9657, 13259, 0, 9004, 351, 0, 13198, 0, 0, 277, 0, 0, 0, 0, 0, 653, 4255, 0, 0, 0, 0, 4193, 0, 0, 0, 0, 0, 0, 735, 1706, 9308, 12909, 0, 8654, 0, 0, 12847, 0, 0, 0, 0, 0, 0, 6237, 7209, 14810, 18412, 5153, 14157, 5503, 0, 18350, 1047, 0, 5429, 328, 3352, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5190, 6162, 13763, 17365, 4106, 13110, 4456, 0, 17303, 0, 0, 4382, 0, 2305, 0, 9485, 10457, 18058, 21660, 8401, 17406, 8751, 3248, 21599, 4295, 0, 8677, 3576, 6600, 0, 808, 1780, 9381, 12983, 0, 8728, 74, 0, 12921, 0, 0, 0, 0, 0, 0, 5909, 6881, 14482, 18084, 4825, 13829, 5175, 0, 18022, 719, 0, 5101, 0, 3024, 0, 2885, 3857, 11458, 15060, 1801, 10805, 2151, 0, 14998, 0, 0, 2077, 0, 0}

Returns: 0.06
15

{0, 51872, 29158, 785, 28979, 22219, 32802, 54326, 10745, 61088, 42371, 42404, 30676, 19885, 27726, 0, 0, 0, 0, 0, 0, 0, 2454, 0, 9216, 0, 0, 0, 0, 0, 0, 22714, 0, 0, 0, 0, 3644, 25168, 0, 31930, 13213, 13246, 1517, 0, 0, 0, 51087, 28373, 0, 28194, 21434, 32017, 53541, 9960, 60303, 41586, 41619, 29890, 19100, 26942, 0, 22893, 179, 0, 0, 0, 3823, 25347, 0, 32109, 13392, 13425, 1696, 0, 0, 0, 29653, 6939, 0, 6760, 0, 10583, 32107, 0, 38869, 20152, 20185, 8456, 0, 5507, 0, 19070, 0, 0, 0, 0, 0, 21524, 0, 28286, 9569, 9602, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6762, 0, 0, 0, 0, 0, 0, 41127, 18413, 0, 18234, 11474, 22057, 43581, 0, 50343, 31626, 31659, 19930, 9140, 16981, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9501, 0, 0, 0, 0, 0, 11955, 0, 18717, 0, 33, 0, 0, 0, 0, 9468, 0, 0, 0, 0, 0, 11922, 0, 18685, 0, 0, 0, 0, 0, 0, 21197, 0, 0, 0, 0, 2127, 23651, 0, 30413, 11697, 11729, 0, 0, 0, 0, 31987, 9273, 0, 9094, 2334, 12917, 34441, 0, 41203, 22486, 22519, 10790, 0, 7841, 0, 24146, 1432, 0, 1253, 0, 5076, 26600, 0, 33362, 14645, 14678, 2949, 0, 0}

Returns: 0.058333333333333334
15

{0, 10725, 29346, 28598, 34486, 19965, 41109, 24402, 20484, 27526, 728, 38995, 3542, 29049, 7558, 0, 0, 18621, 17872, 23761, 9240, 30384, 13677, 9759, 16801, 0, 28270, 0, 18324, 0, 0, 0, 0, 0, 5140, 0, 11763, 0, 0, 0, 0, 9649, 0, 0, 0, 0, 0, 749, 0, 5889, 0, 12512, 0, 0, 0, 0, 10398, 0, 452, 0, 0, 0, 0, 0, 0, 0, 6623, 0, 0, 0, 0, 4509, 0, 0, 0, 0, 0, 9381, 8632, 14521, 0, 21144, 4437, 519, 7561, 0, 19030, 0, 9084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4944, 4195, 10084, 0, 16707, 0, 0, 3124, 0, 14593, 0, 4648, 0, 0, 0, 8862, 8114, 14002, 0, 20625, 3918, 0, 7042, 0, 18511, 0, 8565, 0, 0, 0, 1820, 1071, 6960, 0, 13583, 0, 0, 0, 0, 11469, 0, 1524, 0, 0, 9997, 28618, 27869, 33758, 19238, 40381, 23674, 19756, 26798, 0, 38267, 2813, 28321, 6830, 0, 0, 0, 0, 0, 0, 2114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7184, 25805, 25056, 30945, 16424, 37568, 20861, 16943, 23985, 0, 35454, 0, 25508, 4017, 0, 0, 297, 0, 5437, 0, 12060, 0, 0, 0, 0, 9946, 0, 0, 0, 0, 3167, 21788, 21039, 26929, 12407, 33552, 16844, 12926, 19968, 0, 31437, 0, 21491, 0}

Returns: 0.029166666666666667
15

{0, 19951, 9205, 18770, 6457, 21721, 31045, 1236, 13472, 11455, 17792, 2686, 12120, 2317, 6903, 0, 0, 0, 0, 0, 1770, 11094, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10746, 0, 9565, 0, 12516, 21840, 0, 4267, 2250, 8587, 0, 2914, 0, 0, 0, 1181, 0, 0, 0, 2951, 12275, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13494, 2748, 12313, 0, 15264, 24588, 0, 7015, 4998, 11335, 0, 5662, 0, 446, 0, 0, 0, 0, 0, 0, 9324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18715, 7969, 17534, 5221, 20485, 29809, 0, 12236, 10219, 16556, 1450, 10883, 1081, 5667, 0, 6479, 0, 5298, 0, 8249, 17573, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 8496, 0, 7315, 0, 10266, 19590, 0, 2017, 0, 6338, 0, 664, 0, 0, 0, 2159, 0, 978, 0, 3929, 13253, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17265, 6519, 16084, 3771, 19035, 28359, 0, 10786, 8769, 15106, 0, 9433, 0, 4217, 0, 7832, 0, 6651, 0, 9602, 18926, 0, 1353, 0, 5673, 0, 0, 0, 0, 0, 17634, 6888, 16453, 4140, 19404, 28728, 0, 11155, 9138, 15476, 369, 9802, 0, 4586, 0, 13048, 2302, 11867, 0, 14818, 24142, 0, 6569, 4552, 10889, 0, 5216, 0, 0}

Returns: 0.058333333333333334
15

{0, 17442, 14810, 6167, 9132, 27069, 18575, 9546, 9421, 1394, 9194, 7373, 16750, 27396, 6329, 0, 0, 0, 0, 0, 9627, 1133, 0, 0, 0, 0, 0, 0, 9954, 0, 0, 2632, 0, 0, 0, 12259, 3765, 0, 0, 0, 0, 0, 1940, 12586, 0, 0, 11276, 8643, 0, 2965, 20902, 12408, 3379, 3254, 0, 3027, 1206, 10583, 21229, 162, 0, 8310, 5678, 0, 0, 17937, 9443, 414, 289, 0, 62, 0, 7618, 18264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 327, 0, 0, 0, 0, 0, 0, 8494, 0, 0, 0, 0, 0, 0, 0, 8821, 0, 0, 7896, 5264, 0, 0, 17523, 9029, 0, 0, 0, 0, 0, 7204, 17850, 0, 0, 8021, 5389, 0, 0, 17648, 9154, 125, 0, 0, 0, 0, 7329, 17975, 0, 0, 16048, 13416, 4773, 7738, 25675, 17181, 8152, 8027, 0, 7800, 5979, 15356, 26002, 4935, 0, 8248, 5616, 0, 0, 17875, 9381, 352, 228, 0, 0, 0, 7556, 18202, 0, 0, 10069, 7437, 0, 1759, 19696, 11202, 2173, 2048, 0, 1821, 0, 9377, 20023, 0, 0, 692, 0, 0, 0, 10319, 1825, 0, 0, 0, 0, 0, 0, 10646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11113, 8482, 0, 2803, 20740, 12246, 3217, 3092, 0, 2865, 1044, 10422, 21067, 0}

Returns: 0.06666666666666667
15

{0, 6257, 9241, 12478, 9009, 2753, 2619, 3859, 5843, 10291, 14407, 876, 2742, 14872, 11465, 0, 0, 2984, 6221, 2752, 0, 0, 0, 0, 4034, 8150, 0, 0, 8615, 5208, 0, 0, 0, 3237, 0, 0, 0, 0, 0, 1050, 5166, 0, 0, 5631, 2224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1929, 0, 0, 2394, 0, 0, 0, 232, 3469, 0, 0, 0, 0, 0, 1282, 5398, 0, 0, 5864, 2456, 0, 3504, 6488, 9725, 6256, 0, 0, 1106, 3090, 7538, 11654, 0, 0, 12119, 8712, 0, 3638, 6622, 9859, 6390, 134, 0, 1240, 3224, 7673, 11788, 0, 123, 12253, 8846, 0, 2398, 5382, 8619, 5150, 0, 0, 0, 1984, 6432, 10548, 0, 0, 11013, 7606, 0, 414, 3398, 6635, 3166, 0, 0, 0, 0, 4448, 8564, 0, 0, 9029, 5622, 0, 0, 0, 2187, 0, 0, 0, 0, 0, 0, 4116, 0, 0, 4581, 1174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 465, 0, 0, 5381, 8365, 11602, 8133, 1877, 1743, 2983, 4967, 9415, 13531, 0, 1866, 13996, 10589, 0, 3515, 6499, 9736, 6267, 11, 0, 1117, 3101, 7549, 11665, 0, 0, 12130, 8723, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1013, 0, 0, 0, 0, 0, 0, 2942, 0, 0, 3407, 0}

Returns: 0.06666666666666667
15

{0, 25126, 17432, 31996, 23944, 20352, 9191, 12564, 15652, 19459, 3335, 12973, 12056, 14467, 18930, 0, 0, 0, 6870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7694, 0, 14564, 6512, 2920, 0, 0, 0, 2026, 0, 0, 0, 0, 1498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1182, 0, 8052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4774, 0, 11644, 3592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15935, 8241, 22805, 14753, 11161, 0, 3373, 6461, 10267, 0, 3782, 2865, 5276, 9739, 0, 12562, 4868, 19432, 11380, 7788, 0, 0, 3088, 6894, 0, 409, 0, 1903, 6366, 0, 9474, 1780, 16344, 8292, 4700, 0, 0, 0, 3806, 0, 0, 0, 0, 3278, 0, 5668, 0, 12538, 4486, 895, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21791, 14097, 28661, 20609, 17017, 5856, 9229, 12317, 16123, 0, 9638, 8721, 11132, 15595, 0, 12153, 4459, 19023, 10971, 7379, 0, 0, 2679, 6485, 0, 0, 0, 1495, 5957, 0, 13070, 5376, 19940, 11889, 8296, 0, 508, 3596, 7402, 0, 917, 0, 2411, 6874, 0, 10659, 2965, 17529, 9477, 5885, 0, 0, 1185, 4991, 0, 0, 0, 0, 4463, 0, 6196, 0, 13067, 5014, 1422, 0, 0, 0, 528, 0, 0, 0, 0, 0}

Returns: 0.06
15

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

Returns: 7.647163731819816E-13
15

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

Returns: 1.679684219366759E-5
15

{0, 41, 80, 62, 9, 53, 29, 43, 71, 31, 90, 12, 26, 16, 60, 0, 0, 40, 22, 0, 13, 0, 2, 31, 0, 50, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 9, 0, 28, 0, 0, 0, 0, 0, 32, 71, 53, 0, 44, 20, 34, 62, 22, 81, 2, 17, 7, 51, 0, 0, 27, 10, 0, 0, 0, 0, 19, 0, 38, 0, 0, 0, 7, 0, 13, 52, 33, 0, 25, 0, 15, 43, 2, 61, 0, 0, 0, 32, 0, 0, 38, 20, 0, 10, 0, 0, 29, 0, 47, 0, 0, 0, 18, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 10, 49, 32, 0, 23, 0, 13, 41, 0, 60, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 69, 51, 0, 42, 18, 32, 60, 20, 79, 0, 15, 4, 49, 0, 15, 55, 37, 0, 28, 3, 18, 46, 6, 65, 0, 0, 0, 35, 0, 26, 65, 47, 0, 38, 13, 28, 56, 16, 75, 0, 10, 0, 45, 0, 0, 21, 2, 0, 0, 0, 0, 12, 0, 31, 0, 0, 0, 0}

Returns: 2.367485419734097E-8
15

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

Returns: 7.405482769239382E-5
14

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

Returns: 0.002453675072722692
14

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

Returns: 0.0017653156064614398
14

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

Returns: 0.009307284976927835
14

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

Returns: 0.004357635310016262
15

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

Returns: 0.005079365079365079
15

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

Returns: 0.0031623931623931626
14

{0, 70, 50, 28, 66, 60, 43, 66, 19, 55, 17, 18, 9, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 16, 10, 0, 15, 0, 4, 0, 0, 0, 0, 0, 43, 24, 0, 39, 33, 16, 38, 0, 28, 0, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 7, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 27, 7, 0, 23, 16, 0, 22, 0, 11, 0, 0, 0, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 31, 8, 48, 40, 24, 46, 0, 35, 0, 0, 0, 16, 0, 16, 0, 0, 12, 5, 0, 11, 0, 0, 0, 0, 0, 0, 0, 54, 34, 11, 51, 44, 27, 49, 3, 38, 0, 2, 0, 19, 0, 52, 32, 9, 49, 41, 25, 48, 1, 36, 0, 0, 0, 17, 0, 61, 41, 19, 57, 51, 34, 57, 10, 45, 7, 10, 0, 26, 0, 36, 15, 0, 32, 25, 8, 30, 0, 20, 0, 0, 0, 0}

Returns: 0.01539167182024325
14

{0, 15, 23, 7, 15, 20, 16, 18, 12, 13, 26, 10, 18, 9, 0, 0, 9, 0, 2, 6, 3, 5, 0, 0, 12, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 16, 0, 9, 13, 9, 11, 5, 5, 19, 3, 11, 2, 0, 0, 8, 0, 0, 5, 1, 3, 0, 0, 11, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 7, 0, 0, 4, 0, 2, 0, 0, 10, 0, 1, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 2, 11, 0, 3, 8, 4, 6, 0, 0, 14, 0, 5, 0, 0, 2, 12, 0, 3, 8, 4, 6, 0, 0, 14, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 0, 5, 10, 6, 9, 2, 2, 16, 0, 7, 0, 0, 0, 6, 0, 0, 4, 0, 1, 0, 0, 9, 0, 0, 0, 0, 5, 15, 0, 6, 11, 8, 9, 3, 3, 18, 2, 8, 0}

Returns: 0.03941798941798942
15

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

Returns: 0.05
15

{0, 17, 11, 10, 18, 20, 26, 23, 18, 10, 19, 14, 22, 13, 19, 0, 0, 0, 0, 2, 3, 9, 6, 1, 0, 2, 0, 4, 0, 2, 0, 6, 0, 0, 7, 9, 15, 12, 7, 0, 8, 3, 10, 2, 8, 0, 7, 1, 0, 8, 10, 16, 13, 8, 0, 9, 4, 11, 3, 9, 0, 0, 0, 0, 0, 2, 8, 5, 0, 0, 1, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 3, 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, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 5, 0, 0, 1, 0, 3, 0, 1, 0, 7, 1, 0, 8, 10, 16, 13, 8, 0, 9, 4, 12, 3, 9, 0, 0, 0, 0, 0, 1, 7, 4, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 4, 6, 12, 9, 5, 0, 5, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 7, 13, 10, 5, 0, 6, 1, 8, 0, 6, 0, 0, 0, 0, 0, 1, 7, 4, 0, 0, 0, 0, 2, 0, 0}

Returns: 0.06060606060606061
15

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

Returns: 0.06666666666666667
15

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

Returns: 0.06666666666666667
2

{0, 2, 0, 0}

Returns: 0.5
3

{0, 5, 4, 0, 0, 0, 0, 1, 0}

Returns: 0.3333333333333333
4

{0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0}

Returns: 0.25
5

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

Returns: 0.2
6

{0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0}

Returns: 0.16666666666666666
7

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

Returns: 0.14285714285714285
8

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

Returns: 0.125
9

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

Returns: 0.1111111111111111
10

{0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}

Returns: 0.1
11

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

Returns: 0.09090909090909091
12

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

Returns: 0.08333333333333333
13

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

Returns: 0.07692307692307693
14

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

Returns: 0.07142857142857142
15

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

Returns: 0.06666666666666667
10

{0, 22960, 25013, 14787, 10785, 26353, 8993, 13869, 5522, 23593, 0, 0, 2053, 0, 0, 3393, 0, 0, 0, 633, 0, 0, 0, 0, 0, 1341, 0, 0, 0, 0, 0, 8173, 10227, 0, 0, 11567, 0, 0, 0, 8807, 0, 12176, 14229, 4003, 0, 15569, 0, 3085, 0, 12809, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13967, 16020, 5794, 1791, 17360, 0, 4876, 0, 14600, 0, 9092, 11145, 918, 0, 12485, 0, 0, 0, 9725, 0, 17438, 19491, 9265, 5263, 20831, 3472, 8346, 0, 18071, 0, 0, 1421, 0, 0, 2761, 0, 0, 0, 0}

Returns: 5.9523809523809524E-5
10

{0, 8973, 7881, 9152, 7037, 490, 6011, 3207, 6446, 9459, 0, 0, 0, 180, 0, 0, 0, 0, 0, 486, 0, 1094, 0, 1273, 0, 0, 0, 0, 0, 1579, 0, 0, 0, 0, 0, 0, 0, 0, 0, 306, 0, 1937, 844, 2116, 0, 0, 0, 0, 0, 2422, 0, 8484, 7390, 8663, 6548, 0, 5520, 2718, 5955, 8969, 0, 2964, 1871, 3143, 1028, 0, 0, 0, 436, 3449, 0, 5767, 4674, 5946, 3831, 0, 2804, 0, 3239, 6252, 0, 2529, 1436, 2708, 593, 0, 0, 0, 0, 3014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.0125
10

{0, 13054, 7316, 6318, 87, 2995, 3033, 9347, 5541, 15116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2063, 0, 5738, 0, 0, 0, 0, 0, 2031, 0, 7800, 0, 6735, 999, 0, 0, 0, 0, 3029, 0, 8798, 0, 12967, 7230, 6232, 0, 2909, 2947, 9260, 5454, 15029, 0, 10059, 4322, 3324, 0, 0, 39, 6352, 2546, 12121, 0, 10021, 4284, 3286, 0, 0, 0, 6313, 2507, 12083, 0, 3708, 0, 0, 0, 0, 0, 0, 0, 5770, 0, 7514, 1777, 779, 0, 0, 0, 3807, 0, 9575, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.00625
9

{0, 9675, 26125, 23064, 9984, 17806, 29942, 13246, 562, 0, 0, 16451, 13390, 311, 8131, 20268, 3571, 0, 0, 0, 0, 0, 0, 0, 3818, 0, 0, 0, 0, 3062, 0, 0, 0, 6878, 0, 0, 0, 0, 16140, 13080, 0, 7821, 19958, 3262, 0, 0, 0, 8319, 5259, 0, 0, 12137, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12880, 9818, 0, 4561, 16697, 0, 0, 0, 9112, 25563, 22502, 9423, 17244, 29380, 12684, 0}

Returns: 4.188712522045855E-4
9

{0, 6218, 30193, 7990, 16014, 22432, 9220, 19383, 13829, 0, 0, 23975, 1773, 9796, 16214, 3001, 13165, 7611, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22202, 0, 8024, 14442, 1230, 11393, 5839, 0, 0, 14180, 0, 0, 6418, 0, 3369, 0, 0, 0, 7761, 0, 0, 0, 0, 0, 0, 0, 0, 20974, 0, 6794, 13213, 0, 10164, 4609, 0, 0, 10811, 0, 0, 3050, 0, 0, 0, 0, 0, 16365, 0, 2186, 8604, 0, 5555, 0}

Returns: 6.834215167548501E-4
9

{0, 2235, 4239, 14058, 1328, 8023, 5302, 7054, 7562, 0, 0, 2004, 11823, 0, 5788, 3066, 4819, 5327, 0, 0, 0, 9820, 0, 3785, 1064, 2816, 3324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 908, 2910, 12730, 0, 6695, 3974, 5725, 6233, 0, 0, 0, 6036, 0, 0, 0, 0, 0, 0, 0, 0, 8757, 0, 2721, 0, 1753, 2261, 0, 0, 0, 7004, 0, 970, 0, 0, 509, 0, 0, 0, 6497, 0, 462, 0, 0, 0}

Returns: 0.001851851851851852
8

{0, 11349, 16667, 1673, 9783, 2140, 12485, 5865, 0, 0, 5318, 0, 0, 0, 1135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9676, 14994, 0, 8111, 468, 10812, 4193, 0, 1566, 6884, 0, 0, 0, 2702, 0, 0, 9210, 14527, 0, 7644, 0, 10345, 3726, 0, 0, 4182, 0, 0, 0, 0, 0, 0, 5484, 10801, 0, 3918, 0, 6619, 0}

Returns: 0.052083333333333336
8

{0, 3491, 4314, 13940, 14969, 2487, 19750, 4860, 0, 0, 824, 10449, 11479, 0, 16258, 1368, 0, 0, 0, 9625, 10656, 0, 15436, 546, 0, 0, 0, 0, 1030, 0, 5811, 0, 0, 0, 0, 0, 0, 0, 4780, 0, 0, 1004, 1828, 11452, 12483, 0, 17263, 2372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9080, 10111, 0, 14891, 0}

Returns: 0.042261904761904764
8

{0, 5797, 7534, 821, 974, 4159, 12224, 7742, 0, 0, 1738, 0, 0, 0, 6428, 1946, 0, 0, 0, 0, 0, 0, 4691, 209, 0, 4975, 6713, 0, 154, 3339, 11402, 6920, 0, 4823, 6559, 0, 0, 3186, 11250, 6768, 0, 1638, 3374, 0, 0, 0, 8064, 3583, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4483, 0}

Returns: 0.02261904761904762
7

{0, 4956, 26103, 9367, 18432, 1547, 22862, 0, 0, 21147, 4411, 13476, 0, 17906, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16736, 0, 9064, 0, 13495, 0, 0, 7671, 0, 0, 0, 4430, 0, 3409, 24556, 7821, 16885, 0, 21314, 0, 0, 3242, 0, 0, 0, 0}

Returns: 0.015476190476190477
7

{0, 14480, 13012, 27655, 6411, 17745, 13898, 0, 0, 0, 13176, 0, 3266, 0, 0, 1470, 0, 14645, 0, 4734, 887, 0, 0, 0, 0, 0, 0, 0, 0, 8069, 6600, 21244, 0, 11334, 7486, 0, 0, 0, 9910, 0, 0, 0, 0, 583, 0, 13758, 0, 3848, 0}

Returns: 0.047619047619047616
7

{0, 7266, 16378, 15376, 20573, 2731, 8958, 0, 0, 9113, 8112, 13308, 0, 1694, 0, 0, 0, 0, 4194, 0, 0, 0, 0, 1002, 0, 5197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4534, 13648, 12645, 17842, 0, 6227, 0, 0, 7420, 6418, 11615, 0, 0}

Returns: 0.03571428571428571
11

{0, 19897, 28212, 4207, 10106, 22809, 6860, 14645, 30525, 7066, 26336, 0, 0, 8315, 0, 0, 2912, 0, 0, 10627, 0, 6438, 0, 0, 0, 0, 0, 0, 0, 0, 2312, 0, 0, 0, 15691, 24005, 0, 5898, 18603, 2653, 10438, 26317, 2858, 22128, 0, 9792, 18108, 0, 0, 12705, 0, 4539, 20420, 0, 16231, 0, 0, 5403, 0, 0, 0, 0, 0, 7715, 0, 3527, 0, 13038, 21353, 0, 3245, 15949, 0, 7784, 23664, 205, 19476, 0, 5253, 13568, 0, 0, 8165, 0, 0, 15880, 0, 11692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12832, 21148, 0, 3040, 15744, 0, 7580, 23460, 0, 19271, 0, 0, 1878, 0, 0, 0, 0, 0, 4190, 0, 0}

Returns: 0.01948051948051948
11

{0, 22682, 645, 29318, 7068, 36912, 18265, 24340, 14184, 42533, 9294, 0, 0, 0, 6636, 0, 14231, 0, 1659, 0, 19851, 0, 0, 22037, 0, 28673, 6423, 36267, 17621, 23696, 13538, 41889, 8650, 0, 0, 0, 0, 0, 7595, 0, 0, 0, 13217, 0, 0, 15615, 0, 22249, 0, 29845, 11197, 17272, 7116, 35466, 2227, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5621, 0, 0, 4417, 0, 11052, 0, 18647, 0, 6075, 0, 24268, 0, 0, 0, 0, 4977, 0, 12573, 0, 0, 0, 18194, 0, 0, 8499, 0, 15134, 0, 22730, 4083, 10158, 0, 28350, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13388, 0, 20023, 0, 27619, 8971, 15047, 4889, 33239, 0}

Returns: 0.049783549783549784
11

{0, 7512, 12981, 21751, 19044, 24911, 32081, 34093, 13387, 17487, 39980, 0, 0, 5468, 14238, 11531, 17400, 24570, 26582, 5875, 9975, 32469, 0, 0, 0, 8770, 6063, 11932, 19101, 21114, 408, 4506, 27001, 0, 0, 0, 0, 0, 3161, 10331, 12344, 0, 0, 18230, 0, 0, 0, 2708, 0, 5868, 13038, 15050, 0, 0, 20937, 0, 0, 0, 0, 0, 0, 7170, 9182, 0, 0, 15070, 0, 0, 0, 0, 0, 0, 0, 2012, 0, 0, 7899, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5887, 0, 0, 0, 8363, 5656, 11524, 18695, 20707, 0, 4099, 26593, 0, 0, 0, 4265, 1558, 7426, 14595, 16608, 0, 0, 22495, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.017676767676767676
12

{0, 35214, 15129, 15656, 24296, 35117, 7125, 34234, 29742, 21011, 29068, 32376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20086, 0, 527, 9167, 19988, 0, 19105, 14613, 5882, 13940, 17247, 0, 19559, 0, 0, 8640, 19462, 0, 18579, 14085, 5355, 13412, 16720, 0, 10918, 0, 0, 0, 10821, 0, 9938, 5445, 0, 4772, 8080, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28089, 8004, 8532, 17171, 27993, 0, 27110, 22616, 13887, 21944, 25251, 0, 980, 0, 0, 0, 883, 0, 0, 0, 0, 0, 0, 0, 5473, 0, 0, 0, 5376, 0, 4493, 0, 0, 0, 2636, 0, 14203, 0, 0, 3285, 14106, 0, 13223, 8730, 0, 8057, 11366, 0, 6146, 0, 0, 0, 6049, 0, 5166, 674, 0, 0, 3308, 0, 2838, 0, 0, 0, 2741, 0, 1858, 0, 0, 0, 0}

Returns: 0.06666666666666667
12

{0, 5362, 1067, 6997, 17170, 11234, 19166, 7735, 17180, 7234, 13066, 8555, 0, 0, 0, 1635, 11808, 5871, 13804, 2372, 11818, 1872, 7704, 3193, 0, 4296, 0, 5930, 16103, 10166, 18099, 6667, 16113, 6167, 12000, 7488, 0, 0, 0, 0, 10174, 4236, 12170, 737, 10183, 238, 6069, 1558, 0, 0, 0, 0, 0, 0, 1996, 0, 11, 0, 0, 0, 0, 0, 0, 0, 5938, 0, 7933, 0, 5947, 0, 1833, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9436, 3500, 11432, 0, 9447, 0, 5332, 822, 0, 0, 0, 0, 0, 0, 1987, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9936, 4000, 11933, 501, 9946, 0, 5832, 1321, 0, 0, 0, 0, 4104, 0, 6100, 0, 4114, 0, 0, 0, 0, 0, 0, 0, 8616, 2679, 10611, 0, 8625, 0, 4511, 0}

Returns: 0.05
12

{0, 9070, 6702, 18575, 9659, 17109, 18438, 8770, 24761, 1463, 23549, 11116, 0, 0, 0, 9504, 589, 8040, 9368, 0, 15691, 0, 14478, 2046, 0, 2368, 0, 11872, 2957, 10407, 11737, 2067, 18060, 0, 16846, 4415, 0, 0, 0, 0, 0, 0, 0, 0, 6187, 0, 4974, 0, 0, 0, 0, 8915, 0, 7451, 8780, 0, 15102, 0, 13890, 1458, 0, 0, 0, 1465, 0, 0, 1329, 0, 7652, 0, 6439, 0, 0, 0, 0, 136, 0, 0, 0, 0, 6324, 0, 5110, 0, 0, 302, 0, 9805, 890, 8340, 9669, 0, 15992, 0, 14779, 2347, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7608, 5240, 17111, 8196, 15646, 16976, 7307, 23299, 0, 22085, 9653, 0, 0, 0, 0, 0, 0, 0, 0, 1213, 0, 0, 0, 0, 0, 0, 7458, 0, 5994, 7322, 0, 13645, 0, 12432, 0}

Returns: 0.03287037037037037
6

{0, 4023, 18264, 9371, 5884, 9936, 0, 0, 14241, 5349, 1861, 5913, 0, 0, 0, 0, 0, 0, 0, 0, 8893, 0, 0, 565, 0, 0, 12380, 3487, 0, 4052, 0, 0, 8328, 0, 0, 0}

Returns: 0.16666666666666666
6

{0, 1606, 8711, 1154, 8373, 1622, 0, 0, 7105, 0, 6767, 16, 0, 0, 0, 0, 0, 0, 0, 452, 7557, 0, 7219, 468, 0, 0, 338, 0, 0, 0, 0, 0, 7089, 0, 6751, 0}

Returns: 0.16666666666666666
6

{0, 11708, 9977, 9337, 10546, 12379, 0, 0, 0, 0, 0, 670, 0, 1731, 0, 0, 570, 2402, 0, 2371, 640, 0, 1209, 3041, 0, 1162, 0, 0, 0, 1832, 0, 0, 0, 0, 0, 0}

Returns: 0.125
10

{0, 26082, 28462, 34259, 16789, 3674, 25029, 24322, 11635, 16467, 0, 0, 2380, 8176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9293, 11673, 17469, 0, 0, 8240, 7533, 0, 0, 0, 22408, 24788, 30584, 13115, 0, 21355, 20648, 7961, 12793, 0, 1053, 3433, 9229, 0, 0, 0, 0, 0, 0, 0, 1760, 4140, 9936, 0, 0, 707, 0, 0, 0, 0, 14448, 16827, 22623, 5154, 0, 13394, 12688, 0, 4832, 0, 9615, 11995, 17791, 322, 0, 8562, 7855, 0, 0}

Returns: 0.08888888888888889
10

{0, 21472, 4707, 15105, 11879, 11901, 2966, 15535, 9878, 6200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16765, 0, 10397, 7171, 7193, 0, 10828, 5171, 1493, 0, 6368, 0, 0, 0, 0, 0, 431, 0, 0, 0, 9594, 0, 3226, 0, 22, 0, 3657, 0, 0, 0, 9572, 0, 3204, 0, 0, 0, 3635, 0, 0, 0, 18506, 1741, 12138, 8912, 8934, 0, 12569, 6912, 3234, 0, 5937, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11594, 0, 5226, 2000, 2022, 0, 5657, 0, 0, 0, 15272, 0, 8904, 5678, 5700, 0, 9335, 3678, 0}

Returns: 0.05714285714285714
10

{0, 3357, 4275, 6420, 11418, 13759, 3610, 15492, 11454, 9460, 0, 0, 918, 3062, 8061, 10402, 253, 12135, 8097, 6103, 0, 0, 0, 2144, 7143, 9484, 0, 11217, 7179, 5185, 0, 0, 0, 0, 4999, 7340, 0, 9073, 5035, 3041, 0, 0, 0, 0, 0, 2341, 0, 4074, 36, 0, 0, 0, 0, 0, 0, 0, 0, 1733, 0, 0, 0, 0, 665, 2809, 7808, 10149, 0, 11882, 7844, 5850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2305, 0, 4039, 0, 0, 0, 0, 0, 0, 1959, 4299, 0, 6032, 1994, 0}

Returns: 0.075
10

{0, 55, 53, 59, 40, 69, 12, 33, 34, 24, 0, 0, 0, 4, 0, 15, 0, 0, 0, 0, 0, 2, 0, 7, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 16, 13, 20, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 41, 47, 28, 57, 0, 21, 22, 11, 0, 23, 21, 27, 8, 37, 0, 0, 1, 0, 0, 22, 20, 26, 6, 36, 0, 0, 0, 0, 0, 32, 30, 36, 17, 46, 0, 9, 11, 0}

Returns: 2.755731922398589E-7
9

{0, 7, 71, 24, 52, 40, 85, 66, 90, 0, 0, 64, 16, 45, 33, 78, 59, 83, 0, 0, 0, 0, 0, 0, 14, 0, 20, 0, 0, 48, 0, 29, 16, 61, 42, 67, 0, 0, 20, 0, 0, 0, 34, 14, 39, 0, 0, 32, 0, 12, 0, 46, 27, 51, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 20, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 3.720238095238095E-4
8

{0, 42, 46, 20, 6, 31, 38, 29, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 28, 0, 0, 12, 19, 11, 0, 37, 41, 13, 0, 24, 32, 24, 0, 13, 17, 0, 0, 0, 7, 0, 0, 5, 10, 0, 0, 0, 0, 0, 0, 13, 17, 0, 0, 1, 8, 0}

Returns: 0.029166666666666667
7

{0, 32, 40, 44, 28, 32, 16, 0, 0, 8, 13, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 12, 17, 0, 3, 0, 0, 1, 9, 14, 0, 0, 0, 0, 16, 23, 28, 12, 15, 0}

Returns: 0.03333333333333333
11

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

Returns: 0.017424242424242425
12

{0, 146, 34, 180, 78, 132, 179, 167, 9, 100, 212, 47, 0, 0, 0, 34, 0, 0, 33, 20, 0, 0, 66, 0, 0, 112, 0, 146, 44, 98, 146, 133, 0, 66, 178, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 69, 0, 102, 0, 54, 101, 89, 0, 21, 134, 0, 0, 14, 0, 48, 0, 0, 47, 34, 0, 0, 80, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 33, 0, 0, 0, 0, 14, 0, 0, 13, 0, 0, 0, 46, 0, 0, 137, 25, 171, 69, 123, 170, 157, 0, 90, 203, 39, 0, 47, 0, 81, 0, 33, 80, 67, 0, 0, 113, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 133, 31, 85, 132, 119, 0, 52, 165, 0}

Returns: 0.051587301587301584
6

{0, 62, 23, 42, 64, 2, 0, 0, 0, 0, 2, 0, 0, 40, 0, 19, 41, 0, 0, 20, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 61, 21, 40, 62, 0}

Returns: 0.16666666666666666
10

{0, 28, 105, 35, 93, 43, 80, 45, 69, 110, 0, 0, 77, 7, 65, 15, 52, 17, 41, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 70, 0, 58, 8, 45, 10, 34, 75, 0, 0, 12, 0, 0, 0, 0, 0, 0, 17, 0, 0, 62, 0, 50, 0, 37, 2, 26, 67, 0, 0, 25, 0, 13, 0, 0, 0, 0, 30, 0, 0, 60, 0, 48, 0, 35, 0, 24, 65, 0, 0, 36, 0, 24, 0, 11, 0, 0, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 0.1
15

{0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 }

Returns: 0.06666666666666667

Statistics

Problem Statement for "RandomDijkstraDiv2"

Problem Statement

Definition

Notes

Constraints

Examples