TopCoder Statistics - Problem Statement

Problem Statement

The road network in the city of Nlogonia contains N intersections and M streets. The intersections are numbered 0 through N-1 and the streets are numbered 0 through M-1. All streets are bidirectional. Each street connects two distinct intersections. Each pair of intersections is directly connected by at most one street. The entire road network is connected: it is possible to get from any intersection to any other by following some roads.
You are given the description of this road network: the int N and three int[]s: A, B, and time. For each valid i, street i connects the intersections A[i] and B[i], and the time needed to traverse this street (in either direction) is time[i].
The major of Nlogonia wants to organize a parade. The parade will block off one of the city's streets. (Just the passage through the street will be blocked. It will still be possible to pass through the intersections connected by the street.)
For each unordered pair {X,Y} of intersections there is a single bus that drives back and forth between X and Y. The parade may cause delays for some of these buses. More precisely: the bus that connects X and Y will be affected if and only if the blockade increases the length of the shortest path between X and Y. This includes the case when the blockade makes travel between X and Y completely impossible.
The major needs to know the effect of blocking each street in the city. Return a int[] with M elements. Element i of the return value should be the number of buses that would be affected if the parade blocked the street number i.

Definition

Class:: ForbiddenStreets
Method:: find
Parameters:: int, int[], int[], int[]
Returns:: int[]
Method signature:: int[] find(int N, int[] A, int[] B, int[] time)
(be sure your method is public)

Notes

This problem has an unusual time limit of 4 seconds.

Constraints

N will be between 1 and 100 inclusive.
A, B and time will contain M elements each.
M will be between 1 and 2000 inclusive.
Each element of A and B will be between 0 and N-1 inclusive.
There will not be any street connecting an intersection with itself.
Each pair of intersections will be directly connected by at most one street.
Each element of time will be between 1 and 1000 inclusive.
There will always be a path between each pair of intersections.

Examples

3

{0,1}

{1,2}

{1,1}

Returns: {2, 2 }

There are three intersections and two streets. Street 0 connects intersections 0 and 1, and street 1 connects intersections 1 and 2. There are three buses: one between 0 and 1, one between 1 and 2, and one between 0 and 2. The blockade of any street will influence two of these three buses. For example, if we block street 0, the 0-1 bus and the 0-2 bus will not be able to run at all.
4

{0,1,2}

{1,2,3}

{2,4,6}

Returns: {3, 4, 3 }
5

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

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

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

Returns: {4, 4, 4, 4, 0, 0, 0, 0, 0, 0 }

In this test case we have 5 intersections and 10 streets: each pair of intesections is connected by a direct street. This time, different streets have different lengths. Note that those direct streets don't always represent the shortest paths. For example, the optimal way of going from intersection 1 to intersection 2 goes through intersection 0. If the parade blocks the street between 2 and 4, no buses will be affected: for each bus, the shortest path between its two intersections will still have the same length. If the parade blocks the street between 0 and 3, four buses will be affected: the buses 0-3, 1-3, 2-3, and 3-4.
5

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

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

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

Returns: {1, 0, 1, 0, 1, 0, 1, 1, 1, 1 }
3

{0,1,2}

{1,2,0}

{1,2,3}

Returns: {1, 1, 0 }
13

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

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

{764,541,173,212,568,783,863,68,930,23,70,394,230,920,199,371,92,874,997,328,314,896,815,751,789,652,933,369,227,602,318,281,445,730,98,928,498,20,341,724,847,351,35,492}

Returns: {0, 0, 12, 4, 0, 0, 0, 12, 0, 35, 26, 0, 21, 0, 9, 10, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0, 11, 0, 0, 0, 0, 0, 2, 36, 0, 0, 1, 0, 12, 0 }
17

{6,6,6,11,7,11,4,6,7,10,6,6,16,11,14,16}

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

{819,144,929,777,444,614,607,905,129,370,918,325,471,491,773,645}

Returns: {72, 30, 16, 60, 42, 16, 16, 30, 16, 16, 16, 16, 16, 30, 16, 16 }
15

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

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

{300,747,341,312,606,662,879,321,445,523,709,283,925,63,453,132,934,164,900,774,191,685,937,757,888,173,343,302,322,905,941,229,921,270,631,973,641,714,525,582,995,770,580,206,505,755,945,809,304,755,369,47,250,34}

Returns: {4, 1, 2, 1, 1, 1, 0, 2, 11, 2, 0, 6, 0, 19, 1, 4, 0, 10, 0, 1, 9, 0, 0, 0, 0, 12, 2, 10, 11, 0, 0, 4, 0, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 17, 1, 5, 0, 0, 14, 0, 3, 13, 4, 26 }
13

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

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

{415,461,29,51,557,795,700,40,429,501,648,160,505,965,344,901,950,989,744,341,361,310,997,235,525,169,313,347,579,291,52,628,215,91,356,434,857,519,874}

Returns: {3, 0, 12, 11, 11, 0, 0, 22, 5, 4, 0, 8, 0, 1, 0, 0, 0, 0, 0, 1, 3, 5, 0, 6, 0, 9, 0, 4, 0, 6, 11, 1, 15, 15, 5, 2, 0, 0, 0 }
28

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

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

{623,174,432,683,293,58,522,575,948,232,538,55,99,82,517,232,797,339,219,971,813,978,537,177,208,858,500,237,106,245,935,590,919,823,31,487,75,89,733,347,944,926,19,964,905,634,74,806,504,950,227,597,561,771,343,380,985,284,348,574,523,83,205,641,263,42,325,155,458,172,219,654,960,798,309,992,716,190,11,110,379,82,990,148,123,495,604,488,826,298,182,58,298,155,383,564,212,991,477,893,840,889,571,784,98,270,150,640,611,891,553,778,567,642,806,955,594,556,446,413,335,422,958,542,851,400,174,852,264,38,829,666,113,33,142,171,761,466,674,549,314,156,157,824,359,246,51,667,913,132,208,184,958,934,419,727,394,306,560,563,281,790,558,906,392,181,89,570,664,95,352,743,916,12,388,355,140,713,800,316,854,488,563,206,817,444,788,418,167,124,296,802,926,92,567,51,334,438,632,139,973,159,473,217,991,296,541,493,607,252,531,548,132,124,640,321,487,854,273,913,198,50,798,116,898,409,915,766,627,396,777,27,827,63,535,835,816,325,862,942,943,164,294,739,466,814,978,73,588,794,621,884,698,675,491,293,350,141,937,53,998,521,224,504,482,135,402,781,943,749,447,990,239,349,534,789,493,781,655,798,695,783,870,725,24,112,261,959,378,135,632,352,689,975,417,152,947,230,37,685,363,759,566,468,802,314,642,890,734,395,590}

Returns: {0, 4, 0, 0, 0, 23, 0, 0, 0, 2, 0, 30, 6, 9, 0, 2, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 57, 0, 21, 13, 0, 0, 0, 0, 36, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 28, 0, 5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 77, 12, 0, 29, 0, 2, 4, 0, 0, 0, 0, 0, 3, 17, 0, 10, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 19, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 3, 28, 5, 7, 0, 0, 0, 0, 0, 9, 3, 0, 0, 0, 49, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 21, 0, 0, 25, 0, 0, 0, 49, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 13, 0, 0, 0, 5, 0, 27, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 10, 2, 0, 0, 0, 0, 0, 0, 0, 29, 0, 2, 0, 0, 0, 0, 0, 0, 0, 41, 0, 15, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 26, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 14, 0, 0, 0, 7, 0, 0, 0, 0, 0, 2, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
26

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

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

{556,252,411,292,436,449,682,201,652,835,561,165,44,956,734,257,497,137,511,847,876,925,251,886,320,325,368,531,787,646,509,806,731,208,879,759,8,211,309,903,107,805,502,70,151,557,329,984,424,862,808,912,79,79,187,826,640,359,56,590,556,121,551,738,915,555,265,320,261,507,400,702,130,590,248,881,1000,115,785,108,219,232,287,54,618,681,7,132,710,464,990,657,971,103,19,43,285,597,114,455,111,540,44,658,270,710,233,523,414,773,648,356,230,643,907,699,212,4,65,187,542,123,405,359,409,231,243,523,329,388,139,182,721,736,484,369,778,729,767,467,187,336,496,507,235,353,505,188,257,810,627,913,158,662,441,49,514,75,343,947,995,143,755,383,184,338,47,670,71,765,565,328,639,148,894,903,712,272,688,437,429,760,937,141,99,954,848,356,987,945,423,656,150,404,206,440,92,623,241,54,260,351,539,900,20,513,84,588,930,56,888,719,738,309,423,400,174,213,404,27,260,738,446,168,397,39,868,617,91,792,338,426,950,282,778,131,241,390,147,695,976,70,767,959,917,19,569,887,448,909,163,959,164,305,152,853,947,185,43,608,290,695,830,272,691,242,510,84,171,372,22,754,804,329,414,399,338,957,151,977,594,16,353,982,534,858,191,772,984,667,516,759,231,425,587,586,193,12,401,178,306,95,155,239,147,320,438,277,781,506,395}

Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 9, 0, 0, 21, 2, 0, 0, 0, 0, 0, 0, 0, 18, 10, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 0, 87, 18, 0, 0, 0, 0, 0, 0, 28, 15, 0, 0, 8, 0, 4, 0, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 25, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 20, 0, 0, 0, 0, 22, 0, 9, 0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 48, 0, 0, 0, 0, 0, 64, 0, 0, 11, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 24, 0, 0, 0, 54, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 10, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 81, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0 }
27

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

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

{183,95,897,814,12,632,150,321,135,362,621,13,178,450,622,646,938,217,125,350,591,382,392,908,702,848,560,9,245,534,719,68,400,792,670,885,701,461,219,420,97,261,807,111,115,793,382,331,877,605,403,620,237,645,74,723,452,922,262,242,133,102,731,897,838,604,9,623,216,884,889,13,910,747,702,244,830,281,216,873,247,764,146,197,190,857,460,947,673,139,151,470,525,549,736,297,122,919,741,836,743,333,830,832,750,295,316,18,206,885,879,143,266,486,665,381,265,143,638,903,227,721,584,288,67,64,79,627,253,605,285,703,117,858,531,179,620,743,660,58,860,89,402,656,674,564,306,598,711,286,758,645,294,3,843,668,833,71,446,728,595,433,131,516,206,27,56,317,204,647,655,623,123,479,239,560,850,816,644,449,942,944,232,124,207,225,892,265,790,737,182,933,857,228,466,774,530}

Returns: {0, 0, 0, 0, 95, 0, 6, 0, 8, 0, 0, 65, 9, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 6, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 24, 19, 0, 0, 0, 0, 0, 0, 0, 2, 0, 36, 0, 0, 0, 0, 2, 8, 19, 0, 0, 0, 0, 32, 0, 15, 0, 0, 32, 0, 0, 0, 25, 0, 12, 0, 0, 0, 0, 4, 23, 0, 0, 0, 0, 0, 12, 25, 0, 0, 0, 0, 5, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 1, 2, 0, 0, 1, 5, 13, 0, 0, 1, 0, 0, 0, 45, 0, 18, 0, 0, 0, 0, 0, 8, 0, 0, 2, 1, 0, 0, 32, 0, 20, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 77, 0, 0, 0, 20, 0, 0, 0, 0, 3, 0, 0, 60, 22, 0, 2, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 }
21

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

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

{235,523,330,606,55,605,463,441,80,196,470,643,208,641,918,79,874,998,126,574,839,918,747,741,404,321,824,821,775,928,700,497,237,993,665,489,309,436,984,769,829,711,316,980,763,141,148,635,559,950,281,101,575,767,398,225,219,450,628,261,361,941,788,181,145,364,165,130,481,193,2,966,454,675,646,344,885,38,311,73,820,949,562,446,485,921,959,621,168,862,866,416,744,404,72,719,849,869,304,479,420,633,452,243,826,450,82,885,732,542,194,276,502,894,186,490,377,724,33,707,600,836,568,465,452,188,461,224,362,348,376}

Returns: {15, 1, 1, 0, 20, 0, 0, 0, 37, 7, 0, 0, 6, 0, 0, 10, 0, 0, 14, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 2, 1, 0, 0, 0, 0, 5, 0, 0, 9, 16, 0, 0, 0, 1, 16, 0, 0, 0, 6, 4, 0, 0, 8, 6, 0, 0, 11, 17, 0, 9, 18, 0, 0, 34, 0, 0, 0, 0, 2, 0, 27, 5, 32, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 0, 0, 20, 0, 0, 0, 4, 1, 0, 0, 0, 2, 0, 2, 36, 0, 0, 0, 20, 5, 0, 0, 17, 1, 0, 0, 30, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 }
25

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

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

{369,211,391,181,702,999,454,448,328,918,877,402,616,883,304,37,213,742,176,806,738,210,255,678,541,294,541,844,868,972,300,683,943,881,715,392,244,324,966,265,276,968,848,923,218,473,79,397,661,608,202,442,267,517,540,27,505,957,633,670,832,61,945,658,37,541,497,129,151,982,394,91,194,409,949,797,278,428,761,99,915,813,486,540,662,94,816,199,648,459,643,234,678,327,772,924,178,868,913,243,704,808,747,667,886,150,958,320,450,45,611,847,74,338,657,504,877,698,898,532,539,469,658,250,916,801,311,334,802,792,453,343,684,206,368,687,922,181,788,616,599,137,21,499,326,305,163,552,144,493,605,632,85,497,52,119,737,521,13,126,695,998,42,446,404,448,245,471,123,600,488,186,353,56,916,181,121,655,773,996,89,766,455,583,251,609,781,591,843,398,597,130,33,629,488,918,104,568,591,95,504,793,182,720,958,698,663,915,3,395,505,60,481,458,427,653,345,889,816,164,161,911,261,306,975,74,607,593,273,510,738}

Returns: {0, 4, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 5, 0, 0, 4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 29, 0, 0, 26, 0, 0, 0, 11, 0, 0, 22, 15, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 53, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 4, 0, 0, 0, 11, 23, 0, 0, 1, 3, 0, 10, 0, 0, 0, 26, 0, 25, 4, 0, 0, 40, 11, 0, 0, 20, 0, 0, 0, 0, 0, 15, 0, 1, 0, 4, 25, 0, 9, 6, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 23, 0, 0, 0, 15, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 61, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 4, 10, 0, 0, 0, 0, 11, 0, 0, 4, 0, 0 }
25

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

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

{108,315,473,703,552,293,929,92,636,39,716,573,851,667,501,259,473,326,948,144,117,622,779,833,435,359,183,793,718,17,868,841,554,787,87,164,449,694,264,214,280,446,445,665,76,528,819,148,884,546,344,788,452,233,187,5,691,787,795,280,84,940,285,835,12,65,203,913,701,71,848,667,532,836,184,812,875,878,404,289,592,113,942,340,416,60,685,28,878,174,874,609,880,315,399,382,346,225,539,162,980,622,531,732,83,810,679,1,722,423,221,103,28,241,433,155,775,196,506,445,1,207,931,277,355,47,883,312,490,601,992,532,675,686,545,200,732,517,934,364,914,775,752,85,401,107,625,866,677,436,882,481,918,738,196,320,33,940,353,141,720,898,428,503,312,312,613,605,145,972,54,655,164,776,381,352,909,471,256,164,840,952,769,824,813,782,26,96,717,974,675,817,153,132,705,138,567,873,192,597,840,919,472,795,563,490,935,352,526,137,24,72,474,768}

Returns: {3, 0, 0, 0, 0, 0, 0, 1, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 97, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 75, 0, 0, 0, 0, 10, 0, 1, 0, 36, 6, 0, 0, 0, 2, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 21, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 14, 0, 0, 90, 0, 0, 2, 17, 80, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 2, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 21, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 62, 20, 0, 0, 0, 0, 3, 3, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 21, 14, 0, 0 }
16

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

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

{648,183,208,279,884,256,509,994,930,606,276,272,234,432,320,368,575,289,225,653,928,702,485,173,540,466,106,339,991,919,684,634,147,433,390,740,893,873,95,341,334,429,66,605,175,486,583,200,131,973,423,206,527,813,601,819,481}

Returns: {3, 5, 6, 9, 0, 15, 8, 0, 1, 0, 9, 12, 6, 5, 4, 4, 0, 9, 6, 0, 0, 0, 1, 11, 5, 1, 20, 0, 0, 0, 1, 2, 11, 5, 2, 0, 0, 0, 9, 4, 0, 3, 15, 0, 12, 0, 0, 4, 10, 0, 5, 6, 4, 0, 1, 2, 4 }
27

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

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

{425,366,587,100,572,129,799,447,255,795,93,941,248,225,7,922,781,966,293,11,607,877,230,167,860,916,228,452,822,380,596,107,942,858,65,839,29,764,495,90,861,803,210,673,606,987,102,596,14,759,643,204,877,834,820,273,868,256,909,676,611,461,330,397,188,121,68,124,250,333,516,197,266,982,125,943,85,686,19,534,731,323,495,665,990,809,802,927,610,995,670,653,298,287,95,248,174,223,569,238,754,933,707,802,401,575,975,544,133,338,758,465,618,18,514,488,321,220,625,487,212,473,529,161,351,837,306,792,221,7,509,857}

Returns: {0, 1, 0, 25, 0, 14, 0, 0, 27, 0, 57, 0, 2, 15, 120, 0, 0, 0, 0, 26, 0, 0, 0, 15, 0, 0, 4, 4, 0, 2, 0, 26, 0, 0, 30, 0, 61, 1, 0, 37, 0, 0, 0, 0, 0, 0, 6, 0, 100, 0, 0, 9, 0, 0, 0, 7, 0, 8, 0, 0, 0, 0, 4, 0, 15, 11, 23, 0, 8, 2, 0, 14, 0, 0, 9, 0, 41, 0, 20, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 24, 14, 6, 75, 19, 0, 25, 0, 0, 0, 0, 1, 0, 0, 0, 13, 4, 0, 0, 0, 59, 0, 0, 14, 0, 0, 2, 9, 0, 1, 13, 8, 0, 2, 0, 19, 16, 0, 0 }
23

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

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

{983,208,111,24,516,72,676,674,995,643,413,87,773,696,809,348,717,311,906,594,866,449,899,893,666,439,921,620,175,432,204,652,774,43,724,707,32}

Returns: {22, 78, 36, 90, 0, 34, 18, 18, 22, 21, 22, 96, 22, 20, 1, 32, 10, 22, 0, 9, 16, 22, 1, 0, 2, 4, 4, 9, 0, 6, 78, 9, 2, 22, 20, 4, 80 }
14

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

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

{388,866,392,555,535,162,336,227,450,209,140,775,997,395,782,624,786,631,433,458,584,243,638,313,936,488,945,153,883,121,381,410,392,397,755,51}

Returns: {5, 0, 10, 0, 2, 22, 8, 17, 3, 8, 12, 0, 0, 6, 0, 0, 1, 2, 3, 6, 2, 13, 1, 9, 0, 2, 0, 25, 0, 5, 0, 2, 4, 7, 2, 30 }
10

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

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

{453,493,490,663,646,841,467,396,214,48,320,129,17,271,916,924,388,951,811,827,851,82,665,909,132}

Returns: {1, 0, 2, 0, 0, 0, 0, 9, 9, 22, 6, 8, 9, 14, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 16 }
98

{57,63,57,55,57,86,36,55,10,49,55,65,65,49,68,68,44,59,27,10,24,10,49,21,10,59,43,44,8,43,10,61,22,85,49,66,27,16,65,66,95,43,61,73,78,2,27,44,77,93,8,89,20,71,49,28,79,73,80,25,2,4,1,16,59,74,50,22,12,0,75,0,89,66,96,61,26,90,28,50,74,27,91,46,70,65,44,37,32,44,79,27,37,21,90,82,14,64,35,64,89,47,24,48,30,62,75,84,11,30,87,81,22,84,54,63,26,9,81,22,52,31,89,54,49,62,8,93,92,76,6,18,8,3,12,64,88,53,62,52,6,95,40,76,92,43,48,87,73,86,6,82,7,77,41,2,77,34,65,11,13,67,6,44,75,78,9,65,49,77,6,37,80,23,52,51,31,84,56,76,76,64,34,38,10,89,39,88,21,11,69,66,15,32,61,37,90,35,89,8,20,89,54,41,38,43,65,36,40,3,87,32,54,46,45,17,9,14,24,14,95,50,89,84,67,13,55,45,18,20,4,1,56,17,88,13,30,20,7,43,87,19,79,81,17,40,70,27,24,31,28,57,70,68,27,79,30,3,26,92,50,37,5,11,35,55,3,76,31,17,41,69,80,7,36,81,69,61,34,2,74,85,71,17,60,17,59,74,32,16,26,53,48,4,84,82,17,53,65,20,78,25,78,69,67,91,33,48,52,73,92,12,34,61,74,28,43,85,16,48,38,93,55,31,15,14,81,45,49,88,39,24,75,69,22,72,51,63,62,52,89,21,9,28,18,77,66,8,14,64,56,28,28,47,26,48,56,29,7,30,71,8,68,80,20,35,48,75,28,92,41,6,86,8,0,48,79,63,58,54,97,73,73,36,19,70,42,31,32,10,40,81,86,28,72,89,92,10,0,16,31,19,47,75,22,71,81,82,54,41,78,76,24,47,20,57,95,51,92,29,7,16,48,51,9,73,87,4,13,91,70,96,19,53,17,62,72,75,90,80,44,86,24,23,76,16,43,28,57,23,83,7,4,54,23,11,70,69,92,33,94,0,13,21,83,79,9,75,47,42,82,42,48,83,75,39,69,70,21,6,41,32,78,16,97,10,13,15,51,15,69,6,22,76,42,11,26,77,89,17,23,1,33,75,87,69,5,12,60,50,22,22,54,97,68,29,96,23,48,62,12,85,97,42,30,74,19,43,61,73,64,93,38,24,0,74,30,40,37,64,52,24,41,26,57,21,16,83,3,73,42,37,22,54,61,26,48,88,69,9,12,82,8,4,67,93,51,42,44,20,59,67,5,48,43,50,56,21,68,48,70,31,79,78,30,79,29,37,12,53,32,36,62,47,71,10,6,23,92,65,65,33,36,20,35,30,55,49,47,14,3,40,16,51,34,89,17,21,35,93,89,92,50,84,75,28,52,77,9,78,34,5,14,28,34,44,24,87,24,14,40,15,93,72,52,16,73,73,10,71,79,37,64,21,12,63,47,55,24,89,34,51,85,15,88,9,57,81,70,87,31,23,78,57,50,9,46,19,8,18,41,80,65,28,37,40,15,23,73,4,58,80,63,15,59,55,19,32,81,94,7,97,57,94,67,72,85,38,42,7,29,88,68,4,76,63,3,37,23,79,22,88,8,18,70,42,12,43,60,67,44,86,60,32,0,37,44,16,10,93,21,37,26,11,88,39,17,63,62,21,55,36,56,48,45,38,8,15,5,75,13,59,47,93,66,73,61,54,20,13,72,76,27,16,13,35,63,23,1,39,87,53,84,81,89,23,63,52,61,3,40,51,62,96,83,80,23,62,58,20,72,36,88,13,6,7,69,90,54,32,23,62,32,92,56,81,74,15,25,66,6,89,5,93,67,74,45,0,81,4,59,10,72,63,84,91,63,45,12,2,53,94,97,52,74,72,93,40,65,71,23,69,64,47,38,88,10,89,45,31,57,23,70,65,55,41,92,53,55,81,33,58,25,36,33,81,36,47,15,58,59,64,27,92,19,70,84,71,53,97,74,56,72,27,14,21,0,10,45,94,60,91,52,6,34,79,21,79,3,25,27,62,91,77,31,60,96,51,20,28,38,1,52,84,53,89,63,51,79,33,73,25,11,1,94,37,61,43,35,29,76,32,3,97,47,36,70,61,55,22,73,32,42,89,56,65,53,59,0,39,35,52,9,48,15,25,84,85,80,18,70,36,61,73,0,19,94,21,76,20,23,3,19,61,92,44,22,0,20,0,3,76,80,89,93,68,68,68,32,80,59,41,86,81,32,15,82,82,88,94,78,55,42,43,24,51,82,92,37,63,60,1,28,48,3,27,89}

{63,55,86,10,59,36,20,65,49,8,68,27,44,25,16,43,24,22,21,19,69,66,50,56,95,61,80,71,77,92,4,85,1,97,23,96,12,34,73,2,89,78,91,15,54,94,51,79,93,37,75,28,11,9,81,52,5,72,87,74,45,38,0,26,14,17,67,70,40,88,31,6,53,46,84,90,60,83,58,76,64,33,62,39,3,32,82,41,18,35,7,48,30,42,13,29,47,42,78,86,40,46,16,1,14,52,61,81,18,38,30,77,4,58,42,69,84,43,80,61,82,51,37,77,34,97,79,44,27,49,57,45,36,90,95,59,24,19,67,46,8,26,88,47,60,26,70,26,88,42,4,56,96,75,25,68,72,18,91,79,85,70,33,12,9,12,45,36,3,68,81,50,13,57,88,24,87,55,60,94,2,39,75,0,8,60,47,33,46,24,56,77,13,7,17,63,58,4,25,90,17,83,0,86,6,97,89,81,72,80,57,4,58,55,93,93,60,52,48,51,41,73,84,32,33,6,69,84,64,78,31,82,73,15,82,95,9,54,29,49,9,64,22,93,84,53,39,59,67,66,55,31,66,50,23,64,90,58,14,72,42,31,87,94,43,89,32,89,17,12,18,11,16,28,15,88,10,88,38,16,37,89,86,13,25,42,77,35,12,97,57,45,21,79,5,73,37,18,35,44,40,18,66,27,13,95,15,68,89,11,88,1,87,56,41,2,0,58,69,17,88,95,95,38,94,50,76,67,40,30,81,56,87,15,25,68,97,1,6,50,90,70,47,72,94,69,76,95,76,67,41,81,60,56,81,15,12,27,94,10,46,68,83,27,66,58,13,26,5,95,43,51,35,3,17,30,12,72,69,97,35,41,84,48,48,52,88,53,67,78,33,9,82,74,94,22,65,52,84,51,91,81,58,54,32,97,7,92,45,38,68,43,14,3,56,64,58,59,53,77,23,70,58,77,8,44,10,3,59,87,8,86,4,33,76,63,13,1,73,9,60,21,41,94,67,31,59,33,81,4,22,89,18,35,30,44,27,12,16,92,84,58,34,45,71,37,96,78,83,0,6,70,83,61,46,27,91,24,72,70,54,52,2,42,19,14,84,56,34,49,32,80,24,97,14,54,12,2,10,88,70,51,50,20,74,43,1,0,69,13,92,80,56,87,86,87,43,35,97,85,74,72,22,45,12,45,30,54,95,71,25,16,17,29,31,61,39,13,61,70,36,87,29,32,50,63,65,84,78,38,46,62,0,37,6,6,2,89,1,57,51,45,67,78,95,56,44,35,56,65,12,35,94,6,63,9,92,8,56,79,62,59,65,84,94,51,10,87,58,62,34,66,47,28,14,93,25,18,31,84,46,34,44,40,32,31,30,17,2,48,39,83,25,13,5,35,67,25,30,69,54,15,53,14,6,14,80,80,35,27,25,73,23,23,78,85,68,59,86,32,71,61,38,2,92,39,19,8,86,3,97,68,63,92,2,19,92,23,33,61,42,35,1,76,69,89,83,86,34,38,86,16,9,95,2,41,30,20,58,73,53,66,26,78,22,8,82,42,1,73,57,38,16,44,38,78,93,72,4,8,22,59,24,93,54,66,41,33,30,56,85,65,62,74,96,39,69,82,47,20,46,75,57,19,84,12,35,16,38,82,46,15,88,74,47,90,29,29,22,46,13,57,34,64,20,68,57,90,87,35,49,24,80,75,48,43,7,83,40,89,70,65,60,65,95,66,27,4,71,82,47,64,31,95,69,82,92,93,10,44,23,5,90,45,47,41,85,65,26,18,19,53,94,33,91,33,39,16,61,67,22,18,7,55,78,25,95,86,52,73,19,92,5,83,64,62,6,9,81,67,1,49,7,89,65,51,16,80,65,90,48,45,62,44,41,53,58,88,25,29,88,55,29,48,34,81,27,64,97,41,52,31,7,35,8,35,77,6,83,62,49,12,47,56,47,59,69,60,61,15,95,49,61,10,25,95,13,31,80,81,91,21,72,49,65,54,22,10,35,93,10,75,58,52,72,3,14,94,8,58,58,78,29,30,95,73,73,39,40,90,77,61,29,11,32,13,92,19,96,66,15,93,26,86,84,58,79,86,61,43,85,20,83,30,71,32,54,18,8,33,0,1,65,38,66,53,86,50,24,13,16,16,6,29,8,5,73,5,60,38,13,2,44,20,79,10,69,31,25,93,95,95,87,37,9,34,20,61,44,18,88,26,44,8,6,80,44,44,62,8,35,35,54,30,78,26,67,44,6,31,66,77,9,43,24,27,30,10,87,26,41,38,27,19,53,56,84,45,3,91,5,94,94,93,19,71,11}

{267,444,54,47,502,751,919,886,350,318,1,961,500,840,859,523,11,859,332,864,32,166,881,259,725,950,656,548,583,289,686,917,832,111,31,699,293,12,619,402,550,420,964,65,354,690,867,439,732,564,876,527,829,340,513,847,795,971,585,7,739,682,653,6,669,201,534,415,969,866,198,247,977,101,252,852,506,299,4,245,225,920,876,824,440,677,400,981,491,642,892,436,377,907,389,756,300,714,153,142,123,556,799,196,455,958,609,136,858,904,224,386,290,810,468,881,674,179,837,989,614,147,126,4,985,626,876,613,559,408,832,994,93,172,656,5,644,424,742,523,441,120,948,809,510,872,774,593,157,5,125,484,226,478,946,614,109,9,575,69,900,898,408,523,766,145,663,965,826,987,675,977,364,785,46,658,196,80,255,581,358,414,233,40,664,50,164,465,961,227,683,580,815,148,100,790,362,829,157,171,210,299,414,624,7,610,146,458,977,309,682,805,444,830,652,277,403,544,516,633,120,660,184,860,185,612,930,852,559,206,965,397,447,233,26,536,22,332,924,478,952,730,617,408,284,898,525,919,272,803,144,62,568,198,162,645,962,966,979,821,615,489,980,229,762,544,498,723,219,221,15,223,350,26,863,244,852,777,32,107,149,679,128,194,231,549,789,249,76,829,579,58,706,142,781,548,698,307,63,850,175,481,323,798,504,109,503,497,270,520,280,798,725,794,644,393,191,726,598,298,588,866,652,647,39,229,524,78,727,666,531,98,102,793,178,119,747,158,626,78,663,457,903,346,180,242,179,750,52,199,580,59,400,579,172,350,452,588,538,423,749,972,687,303,940,46,780,765,80,737,15,969,271,562,608,739,503,934,671,216,920,886,691,858,738,428,221,653,498,858,231,919,103,487,488,692,22,248,777,589,347,912,399,238,929,303,550,326,267,613,296,159,151,432,734,635,312,578,542,189,348,720,466,588,250,53,451,47,438,729,536,904,108,791,731,692,917,278,841,639,215,76,754,667,534,101,822,660,810,355,365,526,793,203,343,527,978,85,791,156,33,177,894,852,631,999,160,48,131,486,312,239,763,976,191,670,424,911,540,324,844,188,616,469,921,655,24,952,628,222,108,675,143,416,422,445,396,376,193,253,279,774,189,962,406,153,528,565,399,92,608,902,863,268,772,300,864,274,128,24,596,37,732,335,134,126,983,945,321,268,381,706,40,526,651,986,883,4,937,395,985,169,307,174,182,90,57,330,767,141,785,22,197,754,183,357,517,334,75,473,207,109,318,51,966,546,651,886,997,336,444,113,139,423,968,970,214,342,604,485,763,901,323,643,612,819,22,487,678,781,182,17,958,387,143,512,742,665,913,633,535,924,635,692,360,847,163,428,611,145,68,54,745,105,651,165,581,191,335,755,160,423,575,577,741,685,40,95,840,839,243,955,617,639,71,970,64,256,94,114,889,473,884,542,169,993,555,190,356,860,959,13,35,47,129,608,877,484,400,829,296,805,876,312,567,604,843,623,758,752,57,726,429,178,304,498,120,229,332,939,747,514,639,862,359,830,410,742,482,947,841,265,743,466,146,332,972,546,479,703,672,507,331,456,824,106,605,670,802,585,209,96,78,815,272,876,622,215,852,547,632,350,394,899,290,368,955,479,211,39,296,429,327,617,544,900,501,853,188,224,504,831,799,826,896,355,508,446,504,590,771,737,677,605,502,470,589,891,342,487,223,528,107,960,373,414,328,498,396,87,234,692,652,432,801,412,365,803,824,949,205,16,496,399,704,285,233,789,156,651,49,572,639,861,899,974,378,29,423,290,213,852,64,789,523,396,777,807,238,356,130,769,557,431,179,955,761,758,784,957,260,18,560,650,134,434,544,675,680,925,866,886,435,939,555,168,236,78,128,838,456,443,990,538,219,686,712,920,373,419,861,276,868,21,855,918,173,863,997,563,190,410,430,637,906,743,304,966,972,649,258,852,840,98,192,496,813,136,640,862,38,479,579,168,932,394,66,295,347,413,548,239,770,749,568,7,694,689,288,101,303,335,594,373,82,185,353,519,680,604,385,151,371,358,195,38,629,151,129,371,974,597,654,247,392,534,276,233,985,990,236,428,435,938,852,712,100,85,902,764,370,346,844,47,369,648,615,516,404,717,712,368,25,393,213,469,151,845,628,285,753,275,924,825,646,796,992,619,255,8,634,557,935,495,884,421,268,410,845,272,583,13,614,572,707,326,735,932,555,138,150,763,972,280,370,666,708,118,256,959,74,397,677,46,82,690,154,902,223,220,515,670,257,120,639,345,817,961,915,828,165,899,309,117,6,936,372}

Returns: {0, 0, 89, 240, 0, 0, 0, 0, 0, 3, 388, 0, 0, 0, 0, 0, 167, 0, 0, 0, 163, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 84, 0, 9, 837, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 93, 0, 0, 0, 740, 0, 15, 0, 0, 0, 0, 1, 0, 0, 43, 45, 0, 0, 0, 157, 4, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 22, 42, 0, 0, 0, 2, 0, 0, 0, 11, 0, 0, 3, 0, 0, 0, 0, 0, 0, 41, 0, 0, 0, 6, 52, 97, 0, 0, 0, 0, 0, 0, 0, 0, 27, 90, 0, 211, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 280, 0, 0, 18, 0, 0, 0, 102, 616, 0, 42, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 178, 0, 6, 160, 1, 0, 0, 0, 0, 134, 0, 169, 7, 0, 0, 18, 0, 0, 0, 29, 50, 0, 0, 0, 25, 6, 27, 0, 0, 0, 324, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 11, 0, 0, 0, 1, 190, 0, 84, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 8, 0, 0, 51, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 2, 396, 7, 0, 114, 0, 0, 0, 0, 484, 84, 60, 0, 84, 0, 0, 0, 0, 4, 33, 0, 0, 66, 0, 108, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 105, 2, 0, 11, 0, 0, 0, 79, 40, 0, 5, 0, 0, 12, 0, 28, 0, 0, 0, 0, 0, 6, 21, 0, 49, 19, 0, 131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 95, 0, 0, 91, 0, 327, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 107, 0, 0, 0, 49, 3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 78, 51, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 95, 0, 247, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 84, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 64, 0, 62, 197, 8, 0, 0, 0, 0, 20, 126, 5, 0, 0, 35, 0, 0, 10, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 382, 0, 0, 0, 8, 0, 10, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 8, 0, 0, 0, 70, 0, 0, 0, 1, 0, 1, 0, 0, 3, 260, 0, 183, 0, 0, 36, 29, 0, 0, 0, 2, 0, 0, 160, 0, 0, 0, 0, 489, 0, 0, 0, 22, 0, 18, 2, 212, 183, 0, 0, 33, 0, 463, 2, 0, 0, 0, 0, 0, 88, 0, 9, 0, 1, 78, 0, 0, 0, 0, 0, 0, 0, 12, 27, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 93, 0, 0, 0, 6, 101, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 7, 90, 92, 0, 42, 0, 16, 0, 25, 0, 0, 33, 0, 0, 0, 0, 0, 108, 51, 0, 0, 0, 0, 0, 0, 120, 0, 303, 6, 117, 25, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 488, 178, 155, 11, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 42, 0, 0, 1, 0, 0, 33, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 73, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 4, 0, 0, 0, 0, 0, 0, 0, 5, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 21, 0, 0, 0, 1, 0, 1, 129, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 109, 0, 0, 0, 0, 0, 0, 28, 0, 477, 0, 0, 0, 0, 0, 0, 570, 0, 5, 3, 0, 68, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 165, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 9, 100, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 105, 0, 0, 3, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 97, 4, 0, 0, 13, 0, 0, 99, 0, 0, 2, 0, 2, 78, 2, 0, 0, 0, 2, 0, 0, 0, 423, 0, 0, 1, 39, 0, 0, 0, 0, 95, 19, 0, 0, 0, 0, 0, 18, 0, 3, 1, 239, 0, 39, 20, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 269, 0, 2, 0, 25, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 217, 0, 0, 0, 0, 0, 0, 9, 0, 0, 6, 0, 739, 0, 0, 0, 0, 0, 0, 0, 53, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 113, 0, 0, 183, 39, 0, 59, 0, 12, 0, 0, 0, 31, 0, 0, 1, 0, 0, 0, 0, 10, 0, 0, 86, 642, 0, 2 }
92

{42,89,42,42,3,3,30,3,80,74,80,74,77,83,74,0,89,30,67,2,67,53,2,77,10,40,10,77,65,79,11,34,44,40,34,46,75,89,20,11,84,36,83,84,34,8,91,75,44,65,84,77,34,36,72,47,35,44,43,32,24,55,57,71,26,71,35,27,82,90,44,29,54,47,41,3,89,2,18,74,12,81,12,73,29,37,22,70,91,61,53,38,72,65,47,3,59,52,13,91,28,90,12,82,15,7,72,5,53,33,32,17,22,0,66,82,66,50,87,31,3,65,47,60,35,66,29,60,20,87,32,26,45,16,26,67,55,62,83,38,41,44,40,11,49,25,21,52,75,75,43,11,55,28,70,43,3,19,8,41,10,39,10,20,23,3,69,50,90,36,17,22,44,83,45,32,17,23,7,6,55,19,10,55,87,14,51,7,53,17,16,22,42,7,54,66,43,23,42,13,51,15,82,59,31,56,81,69,77,76,7,33,1,72,36,66,35,90,52,28,82,70,41,9,85,75,34,9,22,58,23,13,62,89,46,49,24,41,48,26,61,52,21,20,30,80,24,47,85,24,27,42,28,11,28,61,67,24,83,17,33,9,0,10,51,27,68,65,3,5}

{89,3,38,30,74,53,80,83,67,77,23,17,65,0,10,34,20,2,40,9,84,55,57,79,32,8,27,44,11,36,15,29,51,43,46,75,82,18,19,35,91,39,61,71,81,66,90,72,24,37,26,7,47,25,63,41,64,58,21,88,86,13,50,52,59,60,69,1,48,76,54,73,45,56,6,68,33,87,22,12,62,4,70,5,14,31,78,28,49,16,85,39,82,29,90,66,25,25,8,72,90,37,57,70,25,76,68,72,68,61,49,77,3,90,31,39,19,65,26,60,40,5,27,67,81,20,86,85,28,60,11,25,20,80,64,38,16,24,84,80,20,86,79,44,70,45,8,18,49,35,76,68,56,67,25,50,20,72,55,79,70,81,45,21,91,43,86,54,62,51,9,88,6,66,37,41,58,56,89,13,60,5,72,17,6,75,84,29,83,51,43,24,3,85,63,25,77,32,85,50,67,37,27,34,5,13,2,30,29,44,34,42,22,27,80,82,50,27,12,88,43,77,26,6,48,55,27,68,7,30,35,61,15,5,10,50,36,75,38,83,54,67,37,12,53,25,6,9,58,26,68,68,42,62,40,81,17,1,91,59,27,16,91,86,30,0,67,0,31,88}

{898,396,288,135,559,299,289,670,377,2,432,45,105,706,431,572,372,704,216,577,697,254,813,457,440,467,863,870,234,885,86,695,127,468,236,467,622,622,346,679,239,9,359,772,453,607,817,346,699,637,561,570,879,320,972,361,494,663,599,148,442,292,407,553,154,95,995,897,207,449,918,740,234,615,539,586,869,942,865,436,386,733,545,957,900,633,918,228,829,334,308,147,363,733,817,149,49,865,444,990,297,177,683,624,798,325,49,690,833,13,111,707,665,60,272,984,744,368,140,901,959,544,460,702,742,1,948,93,668,380,8,789,248,155,857,413,147,108,985,313,104,117,410,998,942,865,397,985,646,222,910,724,503,411,501,162,98,257,730,890,410,355,159,423,652,350,338,58,322,113,95,373,414,275,307,802,272,170,872,89,715,30,304,610,411,30,573,796,884,950,349,591,746,169,210,205,565,611,454,541,244,328,715,712,708,443,455,326,213,934,653,328,328,35,830,284,544,846,139,124,742,740,638,645,713,817,831,171,76,266,240,229,226,895,818,836,594,628,718,972,563,376,471,614,851,36,13,273,291,808,565,254,168,976,953,830,441,823,239,854,945,45,924,768,462,544,637,355,362,177}

Returns: {2, 14, 123, 102, 7, 54, 98, 0, 54, 416, 88, 457, 244, 3, 22, 43, 118, 6, 100, 68, 9, 65, 3, 68, 16, 17, 0, 0, 129, 4, 152, 15, 124, 22, 54, 45, 10, 54, 114, 23, 54, 213, 38, 12, 40, 28, 8, 173, 0, 0, 25, 81, 2, 201, 0, 15, 57, 8, 6, 226, 35, 82, 79, 15, 186, 108, 3, 10, 79, 37, 8, 57, 106, 4, 35, 5, 4, 3, 28, 55, 43, 91, 5, 34, 1, 5, 91, 49, 10, 54, 58, 113, 60, 0, 3, 0, 257, 0, 40, 3, 73, 92, 9, 2, 2, 50, 290, 0, 0, 107, 103, 0, 49, 130, 76, 0, 0, 104, 100, 2, 0, 4, 2, 10, 20, 469, 4, 180, 6, 51, 245, 0, 153, 369, 34, 6, 197, 184, 0, 37, 151, 63, 12, 0, 0, 0, 7, 9, 14, 87, 5, 0, 26, 58, 28, 96, 140, 104, 15, 7, 8, 147, 75, 66, 14, 35, 21, 152, 68, 143, 420, 134, 35, 158, 55, 3, 105, 74, 5, 220, 0, 167, 50, 0, 45, 90, 19, 0, 0, 0, 73, 36, 1, 115, 91, 392, 0, 24, 68, 28, 81, 23, 0, 26, 0, 41, 15, 75, 140, 5, 32, 52, 67, 117, 0, 86, 44, 0, 75, 176, 0, 5, 0, 0, 14, 0, 7, 238, 186, 52, 69, 74, 100, 0, 6, 0, 24, 30, 8, 0, 14, 46, 14, 28, 0, 479, 248, 65, 74, 0, 0, 110, 169, 0, 0, 8, 35, 14, 86, 0, 0, 468, 0, 8, 6, 25, 10, 58, 8, 153 }
72

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Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 363, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 37, 2, 0, 166, 0, 0, 69, 0, 0, 0, 20, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 10, 0, 0, 117, 133, 0, 0, 0, 0, 126, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 2, 0, 0, 0, 35, 0, 0, 7, 0, 87, 0, 0, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87, 0, 0, 0, 0, 0, 99, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 49, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 2, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 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, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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Returns: {47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 374, 0, 5, 0, 0, 0, 13, 0, 0, 389, 21, 0, 0, 63, 0, 0, 33, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 9, 61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 71, 0, 268, 93, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 2, 166, 0, 0, 0, 6, 204, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 103, 0, 4, 0, 126, 0, 2, 0, 17, 0, 0, 0, 0, 0, 0, 127, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 520, 0, 0, 0, 0, 30, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73, 0, 20, 0, 0, 71, 0, 0, 0, 0, 0, 0, 72, 0, 4, 0, 0, 12, 0, 0, 0, 4, 0, 24, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 202, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 225, 0, 0, 3, 3, 0, 145, 0, 0, 159, 0, 0, 0, 0, 0, 2, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 413, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 62, 0, 2, 0, 0, 43, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49, 163, 0, 0, 14, 0, 0, 14, 0, 18, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 132, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 102, 15, 0, 0, 0, 0, 0, 0, 0, 0, 342, 60, 0, 0, 0, 0, 0, 0, 0, 0, 98, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 70, 0, 0, 0, 0, 0, 7, 31, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 6, 69, 0, 0, 0, 0, 0, 4, 0, 28, 0, 0, 36, 96, 0, 0, 0, 0, 9, 11, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 48, 0, 0, 0, 1, 735, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 182, 0, 0, 0, 0, 0, 106, 0, 55, 0, 38, 0, 0, 0, 0, 29, 0, 0, 0, 33, 0, 304, 0, 98, 99, 0, 0, 0, 1, 0, 5, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 322, 0, 0, 0, 0, 96, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 405, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 145, 0, 0, 81, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 327, 154, 0, 58, 0, 0, 0, 0, 39, 481, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 4, 0, 0, 0, 92, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 121, 0, 57, 0, 99, 0, 30, 4, 0, 412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125, 0, 0, 0, 0, 66, 0, 0, 31, 0, 0, 0, 14, 70, 0, 0, 0, 0, 113, 0, 0, 10, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 167, 18, 0, 1, 95, 13, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 94, 62, 0, 14, 0, 0, 0, 79, 0, 0, 0, 0, 51, 0, 53, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 89, 0, 1, 0, 0, 95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 101, 303, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 201, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 0, 0, 29, 80, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 0, 0, 86, 0, 0, 0, 0, 15, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 85, 0, 92, 0, 0, 0, 0, 121, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 65, 0, 42, 0, 0, 5, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 4, 0, 0, 90, 0, 0, 0, 0, 0, 0, 105, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 95, 0, 0, 0, 0, 0, 128, 93, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 2, 0, 0, 6, 205, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 450, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 286, 251, 0, 0, 0, 79, 0, 0, 140, 0, 0, 0, 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, 3, 18, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 457, 0, 0, 0, 0, 0, 0, 0, 249, 0, 0, 575, 0, 0, 0, 0, 0, 350, 0, 266, 0, 81, 0, 0, 0, 0, 0, 27, 9, 0, 0, 75, 4, 0, 113, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, 8, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
97

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{69,32,24,89,6,82,79,67,27,87,80,39,17,62,83,44,85,84,2,58,92,40,63,54,45,66,8,73,91,23,48,56,41,55,11,49,74,5,20,90,26,1,50,43,10,3,46,36,22,61,12,71,33,81,34,88,35,72,30,38,4,15,77,94,64,60,13,29,14,19,37,53,76,51,47,21,65,59,52,16,25,42,31,75,70,93,9,7,28,18,86,68,57,95,0,78,24,41,29,1,0,48,47,74,7,74,32,32,18,54,1,53,80,17,85,32,60,56,46,23,55,51,46,93,38,88,22,27,46,73,79,64,9,60,31,58,51,13,36,74,53,35,73,54,92,13,73,10,9,85,31,0,8,72,23,95,80,36,21,15,91,35,41,19,64,76,15,30,2,33,67,58,43,59,33,88,9,1,56,54,8,82,44,11,3,12,44,17,82,24,14,26,41,51,69,41,22,2,9,31,27,9,20,89,64,86,79,88,53,81,90,90,92,69,29,17,49,76,25,40,17,92,59,49,73,21,95,28,31,76,63,18,10,4,79,18,56,17,20,20,65,84,68,11,49,13,18,16,4,57,10,19,30,66,3,85,16,20,11,52,65,91,2,40,29,22,39,67,59,80,22,13,66,59,39,7,23,89,39,28,42,11,76,40,39,4,68,20,33,81,50,48,50,85,13,67,54,64,50,64,85,20,31,17,42,89,69,20,45,19,44,50,10,55,47,41,90,9,9,7,90,30,32,52,47,13,46,0,26,14,73,30,26,61,65,77,60,77,88,4,71,11,32,18,22,27,74,59,22,34,5,73,82,8,35}

{176,624,48,809,421,651,184,257,652,264,856,842,886,241,541,649,410,687,341,568,463,598,150,850,403,726,396,136,836,119,279,443,390,496,328,195,985,491,350,935,452,361,930,832,223,493,69,188,769,893,98,942,231,568,772,331,218,774,538,265,908,613,396,786,187,316,117,69,688,278,843,386,2,559,116,2,932,351,766,547,166,587,470,332,643,320,568,545,215,811,278,353,426,239,191,494,680,999,55,269,951,304,358,548,255,595,266,545,95,213,141,881,397,456,7,342,762,614,30,907,347,979,715,442,647,385,122,889,36,969,957,949,250,920,507,265,790,698,886,448,598,475,959,152,803,976,660,319,566,432,822,787,305,740,235,438,733,594,260,120,142,282,489,363,175,784,454,678,801,412,311,94,587,750,84,41,300,816,243,954,800,387,488,571,964,263,431,393,995,160,689,815,79,109,123,423,42,767,891,721,703,71,725,848,270,663,144,386,458,161,583,213,620,119,974,261,726,715,36,728,958,804,374,144,534,587,671,316,223,67,846,793,733,195,332,836,84,922,735,982,173,892,703,872,574,78,996,407,196,947,543,81,304,152,108,859,721,916,862,404,40,501,981,517,591,990,284,911,500,576,381,267,455,476,551,484,137,57,838,265,531,338,209,153,768,815,672,6,952,694,775,616,85,420,666,404,599,751,435,735,918,86,814,47,46,550,683,129,966,849,857,833,892,371,867,118,967,566,951,422,459,286,926,612,695,342,388,323,292,307,710,143,801,795,485,467,995,399,807,888,491,824,367,364,536,749,473,674,620,261,20,202,136,671,419}

Returns: {160, 0, 438, 0, 0, 0, 80, 83, 42, 137, 2, 0, 0, 67, 0, 3, 22, 9, 32, 6, 20, 28, 131, 0, 0, 2, 13, 146, 0, 499, 41, 0, 18, 13, 65, 87, 2, 0, 13, 0, 19, 30, 0, 1, 56, 0, 492, 128, 23, 8, 25, 10, 52, 14, 6, 59, 161, 7, 7, 43, 0, 26, 32, 3, 96, 42, 447, 321, 0, 213, 7, 37, 368, 0, 107, 308, 3, 23, 4, 15, 122, 10, 17, 36, 30, 61, 9, 7, 83, 2, 95, 47, 13, 63, 98, 3, 0, 0, 173, 40, 0, 116, 20, 9, 19, 7, 93, 3, 96, 36, 91, 1, 56, 29, 182, 32, 0, 26, 688, 0, 56, 0, 0, 6, 5, 39, 141, 2, 684, 0, 0, 0, 70, 0, 8, 67, 0, 0, 0, 16, 1, 37, 2, 70, 0, 0, 0, 26, 3, 25, 0, 0, 79, 5, 127, 19, 0, 0, 144, 121, 102, 83, 34, 50, 149, 5, 26, 0, 8, 3, 32, 71, 7, 0, 104, 208, 67, 0, 31, 0, 2, 54, 11, 11, 0, 45, 27, 0, 0, 149, 4, 0, 213, 97, 145, 21, 288, 5, 5, 0, 3, 115, 0, 0, 50, 7, 81, 15, 10, 76, 14, 77, 0, 142, 0, 183, 0, 0, 194, 3, 0, 4, 0, 163, 42, 0, 10, 39, 89, 342, 0, 0, 5, 75, 33, 0, 244, 0, 0, 0, 174, 0, 8, 0, 0, 223, 0, 0, 101, 0, 11, 364, 19, 48, 92, 0, 4, 0, 0, 31, 245, 0, 0, 24, 24, 0, 34, 0, 6, 0, 27, 200, 19, 40, 0, 10, 368, 445, 0, 95, 2, 91, 134, 104, 0, 0, 16, 157, 0, 1, 0, 4, 149, 0, 0, 7, 9, 0, 25, 0, 0, 281, 2, 324, 244, 15, 0, 99, 0, 0, 8, 0, 1, 118, 2, 166, 0, 0, 0, 49, 40, 56, 0, 61, 2, 92, 0, 97, 10, 85, 0, 81, 3, 1, 11, 33, 1, 22, 4, 1, 81, 0, 14, 0, 50, 9, 40, 0, 3, 64, 110, 84, 170, 1, 6 }
63

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Returns: {0, 0, 7, 0, 0, 0, 61, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 48, 0, 74, 0, 61, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 0, 4, 0, 1, 0, 57, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 35, 0, 6, 0, 0, 0, 7, 39, 0, 0, 0, 0, 9, 139, 0, 0, 0, 0, 0, 0, 45, 0, 19, 5, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 34, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 6, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 67, 0, 87, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 88, 64, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 1, 0, 8, 0, 0, 0, 127, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 6, 1, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 59, 0, 2, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 16, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 7, 21, 47, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 38, 0, 73, 39, 0, 10, 0, 0, 0, 0, 57, 0, 0, 0, 0, 0, 0, 83, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 66, 0, 0, 21, 0, 54, 0, 109, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 113, 0, 15, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 0, 21, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 178, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 158, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 33, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 144, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 3, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 2, 0, 0, 0, 143, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 16, 51, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 169, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 225, 0, 0, 0, 0, 0, 135, 0, 0, 0, 0, 146, 0, 0, 0, 1, 0, 117, 0, 0, 0, 24, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 15, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 62, 0, 0, 0, 22, 0, 0, 16, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 0, 2, 64, 47, 0, 1, 0, 4, 0, 0, 0, 0, 50, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, 0, 0, 4, 10, 34, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 115, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 58, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 11, 16, 0, 0, 8, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0, 0, 33, 0, 91, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
71

{5,5,5,34,20,68,13,20,68,13,20,68,13,33,13,10,20,38,10,34,0,69,59,39,9,5,66,16,33,33,60,30,25,9,46,63,31,39,54,66,27,52,50,33,45,13,35,33,3,51,12,12,69,11,8,46,5,63,58,59,16,25,20,66,39,22,68,20,67,31}

{20,68,34,13,33,9,70,52,30,10,38,19,0,1,63,11,3,25,54,69,66,59,39,61,44,16,60,32,12,51,27,47,45,46,31,23,50,7,43,56,8,40,35,55,58,53,2,37,49,64,6,28,18,67,17,22,4,41,21,42,15,26,62,65,14,48,57,24,29,36}

{464,907,700,676,273,93,102,76,126,821,542,883,675,326,250,480,537,556,261,435,28,821,432,667,535,616,157,171,220,347,138,237,915,262,728,708,926,236,127,265,740,440,83,430,105,826,954,620,206,395,281,40,333,915,176,824,411,162,225,498,71,923,737,597,127,227,797,612,540,292}

Returns: {1078, 840, 1218, 1020, 558, 610, 70, 138, 138, 390, 390, 70, 504, 70, 204, 204, 138, 330, 138, 504, 448, 390, 268, 70, 70, 204, 268, 70, 204, 138, 204, 70, 204, 504, 330, 70, 204, 70, 70, 70, 138, 70, 138, 70, 138, 70, 70, 70, 70, 70, 70, 70, 70, 138, 70, 138, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70 }
78

{69,69,17,45,45,67,49,17,49,17,17,69,12,23,45,45,4,60,20,27,73,4,39,60,33,20,62,76,60,64,58,64,76,67,66,61,69,66,31,20,47,60,17,30,60,8,56,28,23,5,67,57,48,1,76,40,61,34,42,59,61,47,32,59,17,39,26,36,39,52,28,73,17,74,38,51,32,63,7,53,6,54,49,42,77,69,3,1,26,15,14,63,4,43,74,40,61,30,73,9,6,38,32,28,69,2,21,65,74,26,42,1,12,61,63,6,50,16,24,74,76,10,73,9,15,65,4,28,41,12,73,27,34,54,49,10,2,51,6,70,26,21,12,12,56,9,72,35,68,35,54,71,73,2,57,45,35,26,21,47,53,23,70,64,27,60,18,73,42,45,69,11,76,53,35,0,75,20,18,3,56,46,25,27,71,62,0,38,41,40,29,2,29,31,18,34,46,1,61,1,19,70,47,43,1,33,9,43,68,74,14,51,46,15,19,58,65,23,42,62,51,60,67,18,55,72,64,72,25,14,77,67,7,46,71,13,75,35,77,76,15,51,13,48,47,12,0,19,45,67,47,50,1,70,27,13}

{45,17,62,67,49,27,4,23,60,12,20,76,39,73,48,31,38,6,5,44,58,64,13,33,47,22,66,61,59,7,55,37,68,8,1,28,57,30,50,54,77,56,65,40,32,11,25,52,63,34,75,42,26,16,15,18,19,43,2,24,36,10,70,3,9,51,74,0,71,35,21,53,29,72,14,46,41,47,75,41,25,37,19,39,3,44,20,8,3,56,12,35,22,51,13,0,50,72,1,13,65,9,11,24,52,52,31,44,58,38,35,63,20,39,14,73,71,65,2,48,33,3,37,1,74,68,5,7,30,64,5,45,69,0,15,31,63,13,3,29,15,26,75,46,14,28,47,23,30,22,76,20,32,73,51,10,32,67,8,71,47,69,64,16,74,41,46,71,65,34,25,40,56,52,43,41,15,10,36,50,61,53,19,12,46,21,59,12,59,12,68,37,12,67,60,73,23,61,53,43,72,25,54,36,54,38,7,8,69,20,39,59,56,29,36,67,70,57,47,30,58,10,38,67,23,16,2,7,75,57,46,35,24,34,49,43,34,18,26,72,57,3,0,41,35,36,25,5,54,55,69,69,15,5,37,16}

{753,232,361,152,159,885,975,434,150,762,870,243,951,943,940,807,711,983,407,246,3,744,149,24,972,179,322,69,623,593,412,605,140,896,777,814,623,108,439,124,269,955,426,213,737,961,260,622,855,649,10,115,75,106,57,627,882,266,308,58,987,544,286,348,387,476,162,732,163,101,418,896,659,310,343,362,737,126,864,930,445,664,911,424,767,799,77,702,26,512,585,729,31,994,324,741,180,791,654,238,34,416,762,85,825,5,841,982,572,622,385,825,873,441,797,989,310,391,249,990,814,39,977,773,762,423,813,62,332,788,257,162,509,718,327,15,116,849,386,315,460,141,445,874,416,733,510,52,925,586,503,934,873,881,216,564,28,691,245,666,854,990,225,308,849,671,439,762,779,633,974,198,505,705,727,993,491,698,379,572,978,820,979,670,456,69,551,795,521,879,210,91,181,623,495,360,363,416,651,657,171,562,346,452,730,311,410,652,149,280,968,895,176,361,41,432,833,354,172,999,996,554,523,35,79,884,581,799,745,249,281,803,189,372,750,186,793,343,944,576,378,919,537,39,120,352,28,377,583,809,922,987,113,972,748,637}

Returns: {4, 51, 51, 138, 95, 0, 1, 68, 93, 5, 0, 46, 1, 0, 0, 0, 4, 0, 57, 71, 95, 3, 102, 98, 0, 124, 61, 166, 20, 11, 49, 2, 78, 4, 16, 11, 4, 50, 33, 133, 41, 2, 17, 92, 22, 1, 60, 0, 0, 0, 108, 117, 220, 103, 228, 56, 0, 39, 51, 142, 0, 20, 107, 110, 27, 6, 209, 9, 41, 227, 32, 3, 0, 60, 37, 18, 14, 37, 6, 16, 32, 0, 0, 39, 18, 4, 274, 12, 435, 23, 8, 0, 77, 0, 101, 13, 60, 8, 16, 69, 75, 24, 28, 131, 0, 225, 0, 2, 19, 30, 0, 2, 11, 28, 0, 4, 30, 13, 160, 0, 0, 221, 0, 2, 0, 23, 0, 87, 101, 0, 51, 136, 21, 9, 95, 119, 38, 0, 96, 48, 135, 188, 17, 2, 18, 0, 26, 239, 6, 22, 8, 0, 0, 0, 44, 41, 197, 18, 54, 9, 2, 0, 32, 53, 4, 8, 45, 7, 9, 12, 2, 54, 20, 21, 11, 1, 27, 0, 60, 0, 0, 7, 0, 4, 16, 129, 24, 2, 0, 6, 45, 73, 55, 21, 14, 27, 60, 0, 28, 5, 90, 11, 104, 24, 0, 31, 31, 6, 23, 0, 0, 1, 68, 25, 98, 35, 2, 52, 103, 0, 3, 42, 21, 202, 116, 0, 6, 6, 14, 58, 26, 0, 0, 39, 6, 76, 1, 134, 0, 25, 104, 11, 15, 159, 151, 26, 88, 15, 7, 0, 0, 0, 160, 2, 2, 4 }
62

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Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 31, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 79, 0, 0, 147, 0, 0, 0, 0, 0, 61, 16, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 95, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 12, 0, 5, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 26, 0, 12, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 25, 0, 3, 35, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 3, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 3, 171, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 7, 0, 3, 0, 0, 1, 0, 210, 18, 0, 0, 5, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 11, 3, 20, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 2, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 10, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 6, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 24, 0, 0, 4, 0, 0, 105, 0, 0, 98, 0, 0, 0, 0, 0, 0, 2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 75, 0, 0, 22, 0, 98, 0, 0, 110, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 113, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 22, 216, 12, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 16, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 28, 0, 58, 0, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 182, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 41, 0, 0, 0, 10, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 0, 10, 0, 0, 0, 40, 0, 0, 0, 0, 0, 43, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 59, 0, 0, 47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 60, 0, 0, 116, 0, 0, 0, 1, 0, 0, 0, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 64, 12, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 79, 0, 14, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 154, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 149, 0, 0, 0, 98, 10, 0, 39, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 73, 0, 0, 0, 0, 63, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 9, 0, 0, 0, 0, 0, 0, 0, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 16, 0, 0, 64, 0, 0 }
81

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Returns: {0, 6, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 13, 195, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 111, 0, 0, 33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 71, 0, 0, 0, 0, 0, 0, 0, 179, 0, 0, 8, 3, 0, 0, 16, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 80, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 219, 42, 58, 0, 0, 0, 0, 0, 82, 211, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 2, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 293, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 62, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 39, 64, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 17, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 216, 157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 33, 0, 0, 0, 46, 0, 79, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 2, 0, 0, 0, 11, 219, 0, 0, 0, 0, 0, 0, 25, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 7, 0, 0, 0, 0, 0, 126, 0, 98, 0, 0, 0, 0, 0, 0, 173, 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, 15, 33, 0, 0, 0, 0, 0, 0, 0, 0, 178, 0, 0, 0, 0, 0, 157, 0, 0, 64, 11, 0, 62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 29, 51, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 101, 20, 0, 119, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 175, 7, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 20, 11, 64, 0, 0, 0, 0, 2, 0, 0, 73, 0, 89, 6, 0, 0, 0, 0, 0, 0, 72, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 87, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 108, 62, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 12, 0, 109, 0, 1, 115, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 0, 6, 18, 0, 0, 208, 0, 0, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 158, 0, 0, 0, 0, 0, 0, 0, 13, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 334, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 91, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 199, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 203, 0, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 61, 0, 0, 0, 0, 0, 0, 59, 151, 0, 0, 0, 14, 0, 0, 0, 10, 1, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 122, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 293, 82, 0, 0, 55, 0, 5, 0, 0, 8, 340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 62, 0, 0, 6, 0, 0, 143, 0, 0, 0, 0, 99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 226, 0, 0, 21, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 123, 0, 0, 0, 0, 0, 0, 0, 218, 0, 0, 0, 0, 0, 0, 39, 0, 70, 339, 17, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 186, 0, 0, 0, 153, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
61

{19,19,14,41,14,19,14,38,38,8,14,18,47,41,14,19,8,14,3,27,39,46,8,41,30,8,57,8,42,57,38,30,33,14,3,41,41,49,32,32,40,43,46,47,35,50,52,42,49,33,54,29,29,25,59,57,32,22,57,38,21,53,53,51,40,44,10,28,20,20,10,13,47,14,5,23,38,8,5,1,18,29,32,28,3,26,60,44,7,46,29,45,22,24,56,59,23,22,19,38,36,27,23,11,9,21,13,59,50,30,39,33,50,33,12,51,52,16,0,41,40,56,25,14,4,58,15,24,7,49,46,11,55,9,10,16,24,28,56,18,0,32,2,12,44,57,60,30,8,37,51,18,40,42,32,38,17,10,24,56,29,34,41,0,5,8,18,12,22,24,36,47,48,33,51,49,39,0,39,25,37,19,54,44,35,40,12,19,46,24,20,49,59,43,17,30,9,1,27,16,1,19,49,21,54,30,5,49,4,7,27,17,22,56,27,34,6,36,8,3,39,59,36,53,15,57,60,60,0,55,3,41,33,51,20,42,41,41,35,55,19,47,39,27,15,22,4,41,35,57,16,59,12,22,41,15,57,36,5,10,51,32,54,40,41,39,15,15,8,50,31,1,9,9,47,19,33,43,17,46,56,34,54,52,6,45,41,30,55,21,56,35,54,12,11,54,24,18,42,37,11,49,32,13,7,53,36,14,8,14,36,45,3,34,15,53,54,15,10,27,31,18,48,38,6,49,43,45,43,38,23,44,59,30,23,13,0,21,35,8,38,35,45,13,20,18,56,43,57,37,13,57,10,32,50,45,25,21,60,12,9,25,23,18,4,34,22,4,35,31,36,0,27,2,37,40,51,58,49,27,52,12,2,11,8,49,49,37,5,60,11,15,26,50,1,0,59,20,21,34,49,15,6,8,26,26,47,4,26,7,46,3,19,34,35,0,48,8,7,22,45,15,8,38,55,16,6,4,48,34,40,21,36,5,43,43,45,54,57,38,60,37,44,28,13,58,51,0,13,14,44,56,46,10,26,8,7,3,10,37,47,28,29,10,14,21,31,43,19,8,44,27,36,54,57,34,35,35,59,2,16,54,45,10,10,50,8,60,35,4,3,22,43,19,41,58,59,58,5,8,27,42,1,58,56,30,42,55,52,30,16,51,18,12,14,59,53,26,59,19,9,8,60,49,59,58,23,53,11,23,55,40,40,38,30,9,35,16,49,43,16,19,23,42,40,37,55,8,22,38,48,40,28,30,21,56,53,19,9,47,26,44,58,15,9,41,43,28,38,53,18,6,14,24,19,53,34,26,26,3,43,58,25,6,28,29,12,41,16,12,43,39,57,36,52}

{24,14,41,45,38,8,39,3,46,18,1,47,7,33,27,30,49,4,57,23,51,53,37,36,42,25,55,21,60,34,54,35,50,32,40,52,17,13,12,11,43,2,15,16,44,29,20,5,31,59,0,6,10,9,26,22,58,28,56,48,51,1,33,28,50,16,15,37,16,1,33,23,23,28,30,24,30,0,20,40,52,4,53,8,15,39,18,29,34,36,56,27,59,28,31,60,59,44,52,39,7,54,17,43,38,36,1,2,17,9,58,13,30,15,31,48,2,2,55,23,52,44,48,12,1,5,8,41,5,57,42,30,31,7,32,10,3,29,38,35,14,54,50,51,50,4,39,52,11,32,32,3,7,51,50,13,5,55,10,2,9,9,1,43,16,57,40,20,38,45,11,17,33,40,35,48,33,25,13,31,23,29,8,45,33,38,58,53,25,48,45,16,29,31,32,57,36,25,58,60,22,40,42,19,37,60,12,30,31,56,35,18,33,40,39,51,3,38,60,55,23,8,30,27,54,27,35,47,52,25,25,57,23,18,49,39,27,20,47,5,57,43,1,51,12,25,48,34,42,38,29,3,54,27,50,22,29,49,56,40,54,25,52,44,18,47,36,32,6,26,10,37,17,50,41,56,42,48,25,27,34,38,59,9,56,14,30,1,22,13,10,15,44,48,44,13,15,39,55,4,21,7,16,29,42,36,25,16,42,17,54,28,2,25,30,51,26,43,0,55,51,9,27,11,22,51,1,38,14,32,44,24,32,22,4,59,36,47,36,32,55,40,39,41,6,2,53,27,52,48,27,15,57,2,6,59,49,40,29,57,3,21,12,34,34,1,10,7,50,38,58,11,4,26,24,49,36,23,23,34,11,11,38,41,10,35,58,20,54,4,17,58,38,59,57,4,36,31,22,40,37,16,16,12,40,15,48,19,48,28,41,11,10,36,2,7,22,56,44,47,6,40,2,4,52,0,57,22,29,47,17,23,31,8,4,23,29,35,42,0,23,56,5,10,35,3,41,18,42,20,33,49,35,39,6,20,30,27,12,50,31,42,7,17,3,35,30,42,33,3,12,12,19,50,0,28,0,43,28,55,51,58,57,9,54,57,22,15,20,30,54,43,6,31,12,53,27,33,45,40,56,50,21,44,28,55,29,44,6,3,40,43,22,9,6,35,21,28,34,15,58,44,0,59,53,38,5,39,54,54,15,48,28,43,21,28,58,56,4,19,4,60,7,27,37,0,51,33,58,1,45,5,12,17,27,59,38,41,41,4,12,0,24,20,15,10,10,57,25,10,12,37,11,27,11,42,19,1,33,42,16,42,42,7,58,58,22,32,21,30,60,28,13,50,46}

{589,125,527,907,767,417,776,563,418,520,801,81,170,90,607,899,443,750,694,442,282,482,447,208,35,579,261,81,214,895,243,718,519,6,474,376,9,515,605,672,505,825,260,900,779,645,290,409,181,723,214,465,660,29,757,607,653,27,688,385,190,598,12,225,447,475,527,526,803,225,936,806,750,145,198,867,142,848,592,154,904,252,612,548,282,490,929,546,605,194,341,843,975,70,929,680,913,424,90,416,626,656,15,451,462,244,16,71,418,311,543,618,19,490,240,670,12,777,984,894,235,367,892,195,864,875,3,674,919,153,872,763,16,192,123,136,652,737,405,847,809,737,218,435,235,382,89,822,473,628,7,796,952,65,993,459,152,719,361,202,203,292,950,394,721,782,212,697,480,239,6,66,797,240,27,624,956,2,822,421,946,156,395,773,748,823,366,477,249,547,600,938,268,26,39,889,328,221,856,161,311,634,770,846,620,712,617,707,867,529,162,284,893,743,807,423,219,764,636,565,29,333,179,736,246,386,26,645,531,579,499,677,765,10,660,633,277,159,738,740,76,846,207,602,726,787,298,387,126,553,248,532,182,972,623,86,605,98,748,815,750,563,886,996,696,652,750,424,120,564,911,666,565,918,768,63,679,799,680,450,2,164,725,586,547,709,165,870,767,857,764,572,532,141,17,181,50,817,673,788,359,876,904,914,320,97,253,439,208,372,714,400,27,147,282,598,315,848,743,741,781,727,97,792,739,124,717,64,122,734,597,781,630,327,132,38,102,605,735,592,298,74,236,782,590,134,739,243,807,456,530,255,36,977,110,849,587,745,200,729,494,64,290,69,269,711,955,869,618,95,484,773,113,373,575,538,147,45,71,438,752,47,301,623,777,151,547,617,55,158,204,505,479,44,260,256,157,86,64,620,476,954,997,257,168,677,762,871,935,657,558,826,926,566,544,442,299,193,676,464,248,641,113,904,104,878,586,951,225,324,700,993,829,422,838,699,97,40,552,603,595,775,196,34,84,533,572,808,935,179,703,554,31,159,412,323,912,532,415,925,83,115,157,908,141,52,58,825,749,183,687,343,59,449,604,522,460,291,681,887,989,881,10,288,100,996,314,145,200,537,724,452,542,105,684,495,667,28,191,914,378,498,602,363,581,89,343,193,584,151,787,907,677,968,852,546,738,555,57,403,661,745,778,54,654,659,565,283,37,697,386,394,605,9,502,668,146,962,93,830,813,889,61,893,66,881,20,825,746,910,668,298,163,745,771,274,353,960,688,791,88,430,778,576,958,898,231,54,674,399,933,575,522,437,56,923,937,538,607,927,460,521,578,464,375,907,110,425,397,235,9,672,271,305,260}

Returns: {0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 0, 92, 0, 0, 0, 0, 0, 89, 0, 0, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 66, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 12, 3, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 46, 0, 0, 0, 195, 0, 0, 0, 56, 42, 0, 0, 0, 0, 77, 0, 0, 0, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 11, 0, 0, 79, 3, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 315, 0, 0, 35, 0, 0, 6, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 109, 10, 0, 0, 316, 0, 0, 75, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 146, 254, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 69, 0, 0, 0, 0, 0, 1, 0, 0, 0, 30, 0, 6, 0, 0, 0, 210, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 3, 0, 0, 44, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 31, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 60, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 2, 0, 0, 0, 40, 12, 0, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 5, 0, 83, 0, 0, 0, 0, 0, 0, 21, 47, 42, 0, 0, 0, 0, 114, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 25, 0, 43, 0, 0, 0, 0, 0, 0, 111, 0, 61, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 121, 49, 0, 0, 121, 0, 0, 0, 0, 0, 0, 49, 19, 0, 0, 0, 70, 0, 3, 0, 52, 56, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 31, 0, 48, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 36, 205, 0, 0, 0, 0, 0, 38, 87, 0, 0, 0, 0, 0, 0, 0, 60, 4, 0, 0, 0, 0, 0, 0, 17, 16, 11, 0, 17, 219, 91, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 29, 0, 0, 21, 0, 0, 0, 0, 0, 9, 0, 0, 0, 85, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 78, 0, 0, 0, 0, 173, 0, 0, 0, 0, 129, 0, 0, 0, 0, 24, 0, 0, 0, 60, 0, 60, 0, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 177, 0, 0, 0, 0 }
55

{17,17,51,17,24,51,51,51,35,42,8,42,51,36,22,27,22,48,54,53,42,36,42,43,17,17,42,10,43,52,45,45,18,37,21,14,35,44,53,36,31,22,20,52,14,1,13,26,23,18,44,13,7,20}

{24,51,44,42,10,7,35,8,21,22,5,27,36,54,52,48,33,3,53,23,37,43,14,40,45,18,28,2,25,19,38,16,46,20,26,32,50,31,11,9,29,1,6,12,41,13,15,49,4,39,0,34,30,47}

{829,393,720,131,120,285,488,887,853,921,184,751,147,258,779,643,969,218,824,821,102,865,772,667,408,768,836,786,629,16,912,365,45,271,281,514,901,676,481,1000,633,830,989,153,363,728,178,857,26,441,570,392,332,846}

Returns: {156, 744, 204, 714, 106, 106, 250, 106, 156, 414, 54, 156, 450, 250, 156, 106, 54, 54, 204, 106, 204, 156, 156, 54, 156, 156, 54, 54, 54, 54, 54, 54, 54, 156, 106, 54, 54, 106, 54, 54, 54, 204, 54, 54, 54, 156, 54, 54, 54, 54, 54, 54, 54, 54 }
61

{47,21,21,21,21,8,10,8,47,10,8,45,60,45,21,15,59,7,47,16,32,34,7,59,19,59,26,13,7,28,58,13,51,51,45,2,25,19,32,21,51,10,42,34,47,12,21,0,39,57,30,50,55,41,16,10,58,3,40,11,59,58,37,48,60,11,47,53,5,25,60,22,8,10,31,16,26,40,0,34,5,36,44,41,37,32,49,38,15,18,21,47,21,7,23,56,55,35,17,34,55,54,36,59,1,49,21,28,8,50,9,11,39,16,35,58,27,8,55,59,9,50,6,24,40,46,19,36,13,3,1,44,11,25,16,3,19,10,28,24,25,0,13,58,21,46,17,17,54,2,40,46,29,40,6,56,13,6,9,51,50,57,38,44,21,49,14,8,54,3,39,44,29,53,52,4,27,39,42,22,51,52,18,48,36,58,51,44,15,59,45,18,20,17,55,29,6,46,26,25,3,60,1,9,53,36,7,24,58,30,48,26,24,41,58,34,17,18,31,15,39,46,55,12,24,54,47,40,36,17,2,59,12,55,50,36,16,15,5,3,18,39,35,24,0,16,33,40,56,29,58,3,25,18,7,45,51,2,13,27,1,14,1,5,50,53,32,43,54,6,47,45,51,42,2,25,15,10,50,45,39,34,31,18,4,0,36,28,14,46,8,13,21,53,40,42,15,54,51,56,48,7,6,45,56,52,35,12,39,60,59,19,56,9,54,28,30,32,19,14,12,0,27,23,23,20,7,22,38,3,51,54,17,42,1,20,58,8,50,47,42,18,30,21,60,12,5,40,22,17,46,19,11,11,2,52,54,17,58,1,15,37,56,13,28,26,41,35,23,14,54,21,34,1,30,10,45,34,50,43,29,29,37,6,0,48,21,13,58,26,57,16,51,28,2,2,59,46,47,12,38,15,17,16,39,35,47,12,27,4,13,12,28,19,4,27,43,44,60,23,35,4,39,7,18,43,29,28,29,20,24,50,45,14,25,56,39,54,48,42,24,50,47,0,55,33,26,13,9,59,48,35,37,31,5,31,18,32,18,44,11,4,23,29,1,49,34,41,0,43,19,2,5,27,41,44,1,11,58,23,15,57,39,3,49,55,7,4,18,24,17,38,36,51,55,17,57,32,46,4,33,58,43,52,38,25,36,37,34,51,1,5,32,22,48,39,28,31,15,31,22,8,3,42,20,23,18,21,18,56,19,32,30,18,7,23,36,47,24,57,60,46,53,42,22,54,1,5,29,32,54,47,49,44,24,13,41,43,51,39,46,57,11,14,56,6,47,40,37,42,59,58,11,9,32,15,56,34,15,13,12,24,35,8,33,37,51,29,13,36,12,30,21,49,49,1,37,52,6,22,33,41,39,27,31,9,43,2,45,1,32,10,29,14,8,51,55,41,44,13,25,4,46,3,47,51,43,53,46,1,37,34,13,37,38,54,36,43,36,21,23,35,41,42,57,34,40,22,43,31,24,46,30,54,52,32,4,9,55,14,40,33,6,10,19,16,44,40,10,50,30,23,28,1,42,18,21,38,16,38,9,36,40,3,56,9,5,6,54,33,55,23,4,18,25,20,53,47,9,38,33,20,50,41,51}

{21,34,51,32,8,10,16,45,50,36,26,60,15,7,14,59,25,58,13,22,39,19,35,28,2,42,17,46,44,31,3,41,12,5,49,57,6,0,55,38,4,9,29,30,33,20,43,56,18,11,37,27,1,48,40,52,24,23,53,54,35,23,45,60,19,43,10,14,21,5,42,34,40,33,46,41,15,48,37,1,2,24,35,45,15,44,35,32,0,38,57,49,20,27,20,53,41,19,36,56,18,7,28,36,0,56,52,26,44,17,13,31,60,55,14,5,32,27,36,2,36,35,30,40,59,8,28,37,31,29,40,29,37,3,43,30,49,26,41,45,46,31,44,8,25,30,49,59,26,53,17,47,11,41,55,26,26,54,46,2,22,49,31,25,4,18,33,31,58,20,16,60,24,30,56,5,59,59,20,36,18,19,15,3,57,2,30,10,55,16,9,0,18,6,44,41,32,17,32,30,16,36,48,25,59,34,42,1,13,43,24,5,8,18,31,18,53,52,19,50,19,4,40,39,39,8,31,51,49,10,14,56,37,51,59,29,21,4,29,32,16,53,45,43,14,35,42,10,11,14,33,11,48,11,13,31,60,29,4,42,37,26,60,28,60,20,9,39,42,57,60,14,43,44,48,40,13,59,52,13,21,3,7,32,48,60,51,9,25,55,6,3,50,18,60,39,32,43,47,1,37,18,60,20,35,5,9,25,14,21,45,1,51,30,16,34,55,25,40,12,16,25,46,24,56,27,10,48,42,7,13,9,33,30,57,43,52,57,4,12,21,42,45,7,53,0,50,52,37,55,11,20,19,16,15,57,15,52,18,25,38,51,16,48,24,50,52,31,28,40,0,0,50,13,2,56,26,47,28,28,1,19,33,37,3,15,3,32,60,1,22,52,8,52,52,39,1,57,11,53,44,56,34,37,52,5,45,21,16,1,14,29,45,27,11,5,4,16,32,16,23,7,29,38,60,31,47,18,7,11,52,0,42,60,57,5,40,29,52,11,14,1,26,22,38,19,51,42,47,24,27,54,17,55,13,3,43,5,19,41,35,58,57,32,38,26,7,60,51,29,44,12,34,24,59,4,41,27,34,0,8,14,5,26,31,8,37,30,37,20,8,8,18,25,57,44,48,8,34,16,29,10,23,45,52,28,14,28,38,33,15,14,16,15,43,1,38,56,3,39,11,35,24,49,52,29,59,27,5,40,54,40,5,47,5,1,6,2,19,26,57,54,57,19,39,17,8,0,26,24,40,1,3,5,6,2,31,7,52,58,40,34,36,1,21,58,55,38,23,22,33,27,28,1,19,53,30,55,16,50,18,49,52,12,39,54,49,22,39,54,6,15,9,13,23,2,56,3,35,43,60,50,37,0,4,60,9,33,5,46,10,50,10,19,22,31,3,10,59,28,19,10,36,46,40,22,1,36,22,30,34,39,38,44,6,60,13,25,3,59,4,55,14,9,43,25,3,28,26,40,18,35,44,48,13,51,14,52,23,8,9,25,15,31,8,19,14,37,3,14,31,41,0,7,46,35,37,14,46,20,38,40,23,42,20,29,8,11,34,20,42,22,3,45,58,32,52,36,58,10,54,14,42,36,29}

{575,939,37,998,567,671,466,406,830,503,500,655,225,669,849,853,440,251,296,194,185,756,894,817,529,226,992,156,312,464,550,934,458,169,783,968,930,674,587,545,513,495,2,719,827,825,849,69,646,763,950,100,804,54,966,210,73,333,58,91,964,384,972,273,504,558,508,580,5,196,979,124,680,669,109,644,739,538,747,191,950,92,205,590,831,817,992,375,370,208,377,21,344,687,138,585,122,196,369,731,43,445,404,952,682,393,390,260,948,493,706,471,915,44,293,682,293,995,988,62,885,151,194,209,426,320,437,793,120,162,365,780,413,946,771,630,782,525,1000,616,450,884,359,853,367,927,36,697,902,344,380,866,520,120,842,606,654,907,251,630,932,475,946,139,36,769,862,19,503,809,591,212,350,737,916,914,809,38,198,789,441,594,713,172,520,190,786,777,899,813,992,382,825,653,690,444,287,425,618,657,973,320,783,379,198,854,999,921,93,77,404,112,644,533,125,160,681,326,929,465,350,944,24,482,137,376,252,477,79,429,724,748,581,596,971,574,50,164,895,663,487,147,742,64,637,38,202,96,43,671,640,291,441,362,120,697,780,526,201,857,352,642,25,740,788,321,337,522,347,165,72,692,783,923,767,541,54,781,365,504,481,529,766,28,488,697,864,962,465,364,397,352,425,39,58,209,975,69,840,609,307,1000,383,378,550,927,795,769,605,479,490,552,940,127,423,957,788,901,506,211,928,571,9,465,281,512,162,496,364,709,110,573,37,669,180,411,264,936,593,36,960,144,108,973,218,720,937,872,979,709,932,942,346,388,23,600,749,728,529,998,776,774,726,4,892,4,952,256,707,659,854,606,609,852,208,159,414,180,190,44,59,219,348,555,374,988,519,60,455,514,732,579,714,933,381,162,555,141,499,35,26,385,547,453,343,971,213,603,989,14,288,523,278,671,890,833,431,749,423,653,723,1,329,207,933,735,835,257,583,347,556,787,85,643,447,382,584,164,699,74,870,767,597,601,921,856,19,717,176,201,968,916,517,789,644,662,257,543,278,190,204,415,908,735,397,479,703,290,860,381,754,628,61,780,932,629,388,377,848,970,989,923,65,588,217,552,280,988,963,73,973,185,464,395,382,71,750,704,722,3,8,951,312,752,17,147,322,891,841,566,40,528,665,803,301,702,270,309,877,343,737,208,88,13,66,312,243,557,300,715,326,158,227,394,245,734,526,346,197,776,83,348,263,214,760,341,320,763,685,976,443,600,797,434,777,805,217,346,929,726,60,353,157,483,294,132,209,194,75,875,652,794,277,484,897,969,515,589,464,467,613,241,724,620,662,258,190,618,180,685,619,311,810,801,569,100,137,755,981,454,218,778,494,62,514,650,966,193,229,202,258,751,201,273,674,640,832,412,613,346,97,613,481,178,258,994,189,483,158,151,174,334,309,296,696,794,987,968,651,930,793,982,992,485,65,579,331,231,512,728,6,479,315,229,145,714,219,700,580,655,414,910,976,194,251,786,987,567,229,642,321,762,365,151,69,215,767,366,232,173,268,174,536,502,708,82,914,20,866,327,397,331,796,44,63,280,606,354,36,42,186,6,333,521,735}

Returns: {0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 46, 0, 0, 82, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 147, 7, 0, 9, 0, 0, 44, 0, 0, 0, 0, 0, 0, 25, 3, 0, 0, 0, 0, 0, 0, 0, 0, 101, 0, 0, 52, 0, 3, 15, 0, 0, 182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 44, 0, 0, 5, 0, 0, 0, 0, 0, 31, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 257, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 8, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 23, 0, 0, 0, 0, 27, 14, 0, 0, 0, 0, 0, 0, 101, 0, 29, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 150, 0, 69, 0, 41, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0, 0, 0, 0, 4, 7, 0, 0, 0, 0, 0, 117, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 28, 0, 0, 46, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 22, 0, 0, 0, 23, 0, 85, 0, 0, 0, 0, 0, 0, 68, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 73, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 0, 2, 7, 63, 245, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 56, 63, 0, 0, 0, 0, 0, 0, 0, 0, 267, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 7, 0, 124, 0, 0, 0, 0, 0, 0, 113, 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, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 0, 0, 0, 0, 0, 0, 160, 0, 9, 0, 0, 0, 71, 0, 0, 0, 206, 135, 0, 0, 0, 78, 7, 0, 0, 0, 0, 163, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 41, 134, 51, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 16, 0, 36, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87, 0, 4, 0, 0, 20, 0, 0, 23, 0, 0, 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, 29, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 13, 0, 0, 4, 0, 0, 0, 0, 28, 14, 24, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 5, 0, 0, 299, 0, 0, 2, 21, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 57, 0, 0, 0, 1, 0, 63, 51, 0, 0, 0, 52, 52, 0, 59, 0, 0, 0 }
86

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100

{39,13,39,41,14,13,41,13,41,30,55,48,41,72,68,99,30,13,48,75,30,68,13,48,73,29,39,73,86,73,68,23,14,40,55,39,48,29,13,72,25,8,58,16,28,86,86,34,76,87,91,7,76,87,8,91,20,8,40,6,53,91,63,46,39,30,46,67,7,94,50,83,9,20,60,19,9,55,51,50,89,18,35,89,13,90,51,48,64,45,38,35,15,83,51,10,47,79,72}

{13,14,41,4,55,73,72,30,68,85,48,99,86,20,16,91,75,58,35,23,21,40,29,25,31,34,54,28,83,77,51,49,74,47,94,79,67,8,76,7,53,82,18,98,11,43,87,63,60,36,70,15,61,9,3,84,89,6,46,45,66,19,56,57,90,50,37,2,26,80,5,92,0,10,59,33,69,32,65,64,1,27,97,44,38,62,93,96,52,88,81,24,42,95,78,12,71,17,22}

{889,935,485,264,75,853,87,624,796,228,520,702,852,845,752,190,811,135,639,652,89,845,962,307,859,62,118,220,238,592,125,333,256,934,568,958,440,182,326,510,21,265,685,459,252,615,183,663,117,36,884,691,499,76,359,359,859,869,810,169,80,790,433,52,752,584,783,310,497,456,322,585,140,75,483,363,729,824,955,61,17,693,621,432,739,323,757,945,712,198,966,757,711,207,511,75,263,326,472}

Returns: {2451, 1716, 2331, 99, 1600, 475, 1056, 900, 1131, 99, 1344, 564, 900, 564, 196, 475, 291, 291, 291, 196, 99, 564, 900, 291, 99, 291, 99, 196, 291, 99, 384, 99, 99, 196, 196, 196, 196, 564, 384, 384, 196, 99, 196, 99, 99, 99, 475, 196, 196, 99, 99, 196, 99, 291, 99, 99, 291, 291, 291, 196, 99, 196, 99, 99, 196, 384, 99, 99, 99, 99, 99, 99, 99, 196, 99, 99, 99, 99, 99, 196, 99, 99, 99, 99, 196, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99 }
100

{28,28,3,28,72,2,2,2,55,28,72,55,26,2,26,12,66,26,28,32,31,28,81,31,81,28,98,81,3,45,27,73,24,31,19,73,74,39,99,15,36,98,10,11,3,23,15,3,93,7,60,10,69,30,96,48,23,19,74,2,50,80,2,74,12,86,37,73,54,5,92,79,23,89,53,1,60,96,31,99,83,51,70,51,43,91,74,12,79,17,3,0,59,70,34,44,21,25,41}

{2,3,72,18,27,55,12,38,32,66,93,26,45,74,10,1,81,31,73,19,7,51,98,96,33,36,30,24,99,15,69,46,39,57,60,89,43,35,23,13,11,88,68,62,4,70,5,54,48,86,67,80,92,41,44,50,61,76,82,53,52,87,37,16,79,20,64,6,91,95,29,25,47,75,40,17,42,83,0,63,90,94,58,9,34,22,8,21,65,59,97,78,71,49,77,84,85,14,56}

{174,487,605,259,262,484,871,430,591,74,52,266,288,122,353,433,344,212,683,484,65,149,976,112,831,936,396,321,265,740,449,847,442,93,528,772,246,880,202,491,175,618,683,253,435,917,868,28,821,489,399,293,531,568,162,468,540,258,726,169,557,396,848,437,894,368,536,639,831,502,968,680,758,80,150,348,685,834,517,904,546,405,283,850,952,457,25,777,128,969,457,334,58,377,788,687,550,117,837}

Returns: {2491, 1771, 819, 99, 384, 2059, 979, 99, 564, 979, 384, 1716, 475, 651, 384, 384, 900, 1056, 475, 475, 291, 291, 475, 475, 99, 291, 291, 291, 736, 384, 291, 99, 196, 99, 291, 196, 291, 99, 564, 99, 196, 99, 99, 99, 99, 291, 196, 291, 291, 196, 99, 196, 196, 196, 196, 196, 99, 99, 99, 196, 99, 99, 196, 99, 384, 99, 99, 99, 196, 99, 99, 196, 99, 99, 99, 291, 99, 196, 196, 99, 99, 99, 99, 99, 196, 99, 99, 196, 99, 196, 99, 99, 99, 99, 99, 99, 99, 99, 99 }
100

{24,66,66,66,51,66,14,14,74,14,21,21,14,51,69,69,51,70,94,59,12,4,1,37,21,51,93,37,53,77,66,69,46,4,3,66,80,56,24,71,13,77,5,73,36,3,24,65,69,99,52,16,79,72,65,3,65,23,22,65,36,80,74,74,40,36,47,66,17,94,88,86,66,11,87,29,76,78,85,29,19,86,14,11,76,62,65,20,0,37,22,68,31,80,2,49,80,96,23}

{66,93,1,51,74,14,21,53,70,59,73,69,37,12,32,25,94,56,4,86,62,65,13,3,33,19,22,77,72,46,68,6,35,5,80,0,36,71,88,76,17,49,16,40,9,79,99,11,52,95,61,23,64,38,57,83,98,29,48,81,20,78,85,10,47,28,82,41,91,42,96,87,31,7,8,92,2,30,90,84,45,63,50,43,18,44,26,34,55,54,58,89,97,15,39,60,67,27,75}

{227,558,464,24,340,267,708,353,755,867,704,243,703,314,374,553,446,628,579,406,601,70,279,999,550,756,52,206,746,109,731,71,474,789,349,322,922,960,516,232,175,23,40,333,98,609,805,707,377,34,745,377,450,865,646,735,139,399,688,316,875,316,602,308,221,758,49,983,822,167,648,991,361,964,175,184,202,431,225,837,432,762,728,681,296,72,100,728,155,860,322,82,894,31,602,915,813,216,124}

Returns: {564, 384, 384, 2275, 979, 2451, 1056, 291, 651, 475, 384, 564, 1659, 291, 99, 99, 1476, 564, 1344, 384, 196, 736, 291, 1204, 99, 196, 291, 475, 196, 196, 196, 99, 99, 651, 900, 196, 475, 475, 291, 384, 196, 196, 564, 291, 99, 196, 196, 291, 196, 99, 99, 475, 99, 99, 99, 99, 99, 291, 99, 99, 196, 196, 196, 99, 196, 99, 99, 99, 99, 99, 196, 196, 196, 99, 99, 99, 196, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99 }
100

{74,74,74,45,74,23,23,21,41,97,45,41,74,41,45,43,45,97,24,16,24,58,91,78,1,17,21,45,0,96,81,35,18,16,21,78,20,63,0,63,18,38,85,7,17,78,4,50,96,63,17,83,95,24,76,91,78,95,39,93,83,23,59,32,70,71,81,96,15,44,82,0,0,85,42,85,55,78,91,23,74,4,44,8,21,77,51,4,68,68,53,52,67,82,9,82,21,9,47,45,44,67,76,11,70,16,7,69,1,10,92,23,45,68,37,54,51,91,80,4,94,79,93,67,63,27,98,91,85,41,42,66,87,24,51,84,69,96,14,64,34,30,83,0,97,18,96,99,74,2,34,22,40,34,75,74,10,81,32,99,24,1,96,48,33,56,48,82,8,87,83,84,71,76,3,97,30,49,6,27,15,4,68,99,31,84,27,57,42,67,75,48,0,31,75,28,60,63,23,16,52,31,63,45,21,82,22,67,58,17,98,51,37,97,79,24,5,97,27,9,65,75,41,61,24,49,67,92,33,19,17,27,33,98,18,68,78,69,12,15,97,58,49,58,84,9,41,88,20,98,57,58,68,52,13,19,0,33,74,84,49,71,99,43,89,74,47,36,31,77,79,92,73,58,9,28,98,2,32,47,14,53,42,75,1,49,48,9,68,33,49,99,73,58,1,75,96,24,84,43,16,43,60,56,53,23,95,87,2,12,24,35,24,19,67,42,14,62,94,21,65,51,50,4,64,22,78,35,69,41,1,0,75,17,30,33,3,36,15,67,37,6,77,4,96,62,6,38,92,87,51,55,55,80,50,7,77,64,47,25,91,43,85,39,78,29,77,30,71,19,91,78,84,36,44,52,69,58,53,47,0,98,81,55,60,94,5,7,6,89,97,29,48,8,2,59,58,22,69,96,76,45,45,15,63,55,1,5,16,3,99,35,20,16,15,73,41,84,48,8,44,29,60,99,30,23,59,7,15,11,93,53,58,77,60,12,40,59,38,97,31,13,5,54,33,87,1,23,12,16,62,12,21,59,6,68,94,26,70,53,46,5,20,38,92,82,26,92,23,70,31,4,88,25,20,83,44,79,89,52,62,28,15,44,14,18,48,69,6,3,31,16,18,47,68,40,61,68,68,28,39,42,9,12,39,82,71,46,37,14,81,90,55,94,76,48,80,18,84,74,4,96,98,26,23,51,30,80,79,69,40,54,23,87,79,19,8,64,72,28,78,69,14,50,57,40,56,28,57,87,56,56,6,15,66,92,85,67,97,40,96,3,18,5,2,39,15,55,75,95,10,6,92,52,30,70,66,93,88,50,56,0,52,35,19,60,18,98,33,49,65,70,57,76,36,6,56,12,13,5,89,62,8,96,54,0,12,26,83,72,34,19,17,34,89,52,25,53,26,34,98,51,78,6,98,68,21,47,12,96,97,33,9,38,43,69,51,30,26,79,29,12,23,21,71,6,88,14,89,98,68,76,27,52,76,72,24,14,64,32,8,87,40,68,66,91,5,21,53,13,52,44,13,54,11,39,50,96,79,32,28,41,47,80,20,43,9,71,87,31,61,43,23,95,17,88,72,82,24,35,52,57,17,34,37,59,42,49,94,15,11,84,70,90,76,95,39,69,85,96,95,57,19,82,39,20,13,99,90,37,62,82,77,20,2,54,10,11,72,62,89,18,39,76,7,17,28,0,14,8,38,75,2,58,24,97,61,27,87,25,53,55,66,81,16,34,44,33,56,63,45,13,47,43,16,68,5,34,35,12,40,40,83,16,69,61,84,20,32,61,76,58,51,23,38,28,23,55,48,59,92,99,10,89,89,91,30,65,37,22,46,62,77,89,60,91,8,45,84,30,73,80,24,12,88,81,42,38,66,90,54,18,36,30,9,18,52,66,8,63,6,53,72,84,77,8,6,12,43,59,29,17,95,85,39,36,68,77,99,13,81,84,77,31,19,39,16,67,81,14,99,38,3,77,68,84,4,37,51,50,27,4,5,79,6,88,33,84,35,14,18,75,54,39,2,35,72,66,79,8,46,14,6,86,98,20,2,16,59,81,57,46,58,58,60,37,69,37,18,76,74,32,70,5,94,64,11,96,2,76,61,4,59,64,23,9,79,79,8,69,79,9,81,23,74,51,30,38,59,84,68,47,76,89,80,7,49,47,0,87,5,65,47,83,84,40,80,94,39,78,45,2,91,87,53,20,14,10,45,41,20,53,69,60,73,27,8,53,47,21,26,96,1,31,31,42,47,46,20,10,61,62,6,36,23,85,95,86,1,61,97,3,80,1,36,35,48,92,2,32,24,78,79,15,3,3,30,77,50,26,4,36,65,30,69,0,86,72,50,7,43,46,5,18,62,83,78,66,91,27,15,93,66,77,40,30,3,94,21,89,85,22,87,38,68,62,87,60,1,86,8,54,37,3,36,89,51,71,94,86,24,53,2,11,17,43,79,63,44,22,37,55,61,8,59,53,2,68,54,91,29,7,2,38,94,0,21,34,7,78,79,91,55,25,34,41,27,34,72,2,45,6,26,83,49,85,88,73,79,57,54,55,94,6,65,35,29,65,32,93,15,65,99,35,12,38,37,58,33,34,99,50,26,92,83,20,30,63,81,61,17,15,87,17,32,62,35,72,85,17,32,19,22,68,17,62,24,14,82,71,91,9,6,75,37,42,53,88,59,2,86,87,23,28,16,27,30,0,43,10,14,79,95,64,43,25,53,96,6,20,52,77,6,19,61,64,12,19,54,94,50,64,27,35,17,85,61,57,25,29,10,2,57,76,60,14,60,6,24,7,71,28,67,83,50,22,99,75,7,64,81,54,37,88,63,83,89,63,56,54,65,2,90,53,5,68,96,90,96,62,64,56,9,66,32,63,12,9,98,21,27,11,82,94,18,30,63,73,43,1,11,24,54,95,60,79,47,14,68,77,87,19,35,77,62,91,52,10,38,25,96,37,47,6,0,71,65,28,60,21,96,63,43,43,0,13,23,49,41,28,23,0,94,85,14,64,62,9,37,6,37,5,38,72,46,71,34,67,73,59,15,88,22,40,59,84,62,4,36,28,38,89,81,33,5,67,23,47,95,79,20,54,46,94,13,36,96,38,91,89,45,87,30,87,84,99,67,5,69,77,90,45,59,44,95,14,67,88,17,65,96,40,31,56,5,22,97,29,77,56,41,93,12,19,96,23,3,26,24,78,38,52,99,46,87,56,76,92,94,67,88,53,51,38,41,22,27,11,85,32,11,62,91,1,75,3,66,3,35,75,12,9,87,93,15,39,50,53,15,31,2,68,83,17,56,61,66,81,64,86,6,75,18,49,28,6,84,72,73,98,48,29,27,36,81,32,35,35,64,44,80,7,19,83,4,96,51,47,78,97,33,38,36,60,82,10,54,40,54,85,45,54,21,6,33,97,35,83,50,90,30,88,18,13,3,23,13,95,65,90,10,28,25,28,52,17,24,92,96,53,44,69,50,80,92,16,26,92,88,56,11,6,86,30,47,25,90,30,32,82,63,1,79,70,3,6,50,83,13,58,11,90,91,89,30,36,20,33,1,18,87,87,68,5,22,0,47,90,61,84,27,96,62,9,4,52,1,35,75,80,27,81,25,28,41,89,65,40,72,9,90,19,10,50,11,59,78,54,74,61,51,59,71,1,7,60,47,20,5,68,42,46,20,81,47,83,3,73,40,43,90,10,99,3,11,99,45,15,71,91,98,20,10,10,54,48,80,96,99,31,60,56,11,10,58,41,69,16,74,85,21,97,89,43,59,84,84,13,73,94,26,65,16,84,26,53,76,62,78,95,10,90,43,94,20,96,36,97,56,40,55,8,96,86,12,8,69,25,18,25,33,36,43,98,6,32,10,17,27,59,57,15,85,64,17,3,81,3,25,46,1,54,11,65,81,84,39,64,10,63,69,86,39,42,77,56,52,38,88,55,96,35,71,38,67,35,42,46,23,50,37,51,33,80,8,67,24,43,19,52,33,53,15,46,53,62,44,76,69,51,76,46,70,81,4,42,31,42,48,16,51,61,7,66,8,92,79,35,83,44,78,65,20,93,31,74,17,50,74,54,61,25,65,93,68,12,91,17,71,83,79,84,27,65,47,45,29,37,35,37,67,14,36,91,54,14,71,74,61,98,41,59,11,85,91,79,86,77,36,93,52,3,82,84,92,69,62,29,64,12,95,9,26,41,34,55,63,13,63,42,75,53,94,82,22,37,57,72,15,42,64,25,19,48,92,99,7,95,90,57,82,95,69,16,11,52,31,21,78,12,17,70,68,73,25,8,81,59,23,40,15,12,11,70,39,21,32,8,35,50,20,74,57,48,70,66,30,29,31,87,63,78,60,60,61,14,39,57,76,50,13,68,93,2,57,12,14,89,33,73,84,36,51,99,77,71,67,62,30,40,67,72,63,11,42,86,93,75,66,23,34,80,11,57,33,49,36,50,0,3,66,88,16,20,86,5,88,88,91,29,46,98,86,71,28,0,17,46,93,53}

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Returns: {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 18, 0, 148, 0, 0, 0, 0, 1, 0, 0, 0, 99, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 87, 0, 0, 0, 0, 0, 0, 0, 5, 38, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 20, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 28, 0, 0, 0, 0, 0, 0, 0, 0, 135, 0, 0, 100, 0, 0, 0, 0, 0, 0, 93, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 226, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 396, 0, 41, 0, 0, 0, 59, 0, 0, 2, 0, 0, 0, 0, 12, 0, 0, 0, 0, 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0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 10, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 152, 74, 0, 0, 15, 0, 0, 0, 0, 6, 0, 0, 0, 170, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65, 177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 270, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 353, 0, 0, 0, 0, 0, 0, 0, 60, 1, 0, 0, 0, 0, 0, 0, 0, 0, 83, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 97, 0, 0, 5, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 1, 0, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 11, 0, 0, 78, 0, 86, 0, 0, 0, 0, 0, 0, 195, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 83, 0, 0, 0, 0, 0, 0, 2, 0, 0, 210, 0, 0, 0, 87, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 67, 0, 0, 47, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 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, 227, 0, 139, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 199, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 97, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 105, 0, 0, 3, 0, 0, 0, 337, 0, 51, 0, 0, 0, 0, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 107, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 87, 0, 0, 0, 18, 0, 231, 0, 0, 0, 0, 111, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 262, 0, 0, 0, 0, 24, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 426, 0, 0, 0, 0, 0, 97, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 64, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 154, 1, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 237, 118, 0, 28, 0, 0, 0, 0, 105, 0, 0, 95, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 16, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 2, 0, 0, 104, 0, 22, 24, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 257, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 268, 63, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 0, 195, 106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 33, 0, 0, 99, 0, 0, 0, 379, 0, 0, 0, 0, 0, 75, 0, 0, 0, 0, 0, 211, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 159, 0, 0, 0, 0, 0, 123, 0, 0, 0, 0, 0, 0, 0, 0, 13, 84, 0, 0, 36, 0, 14, 0, 0, 0, 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, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 372, 0, 0, 0, 16, 48, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 4, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 37, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 306, 0, 0, 3, 0, 262, 0, 24, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0 }
13

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

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

{764, 541, 173, 212, 568, 783, 863, 68, 930, 23, 70, 394, 230, 920, 199, 371, 92, 874, 997, 328, 314, 896, 815, 751, 789, 652, 933, 369, 227, 602, 318, 281, 445, 730, 98, 928, 498, 20, 341, 724, 847, 351, 35, 492 }

Returns: {0, 0, 12, 4, 0, 0, 0, 12, 0, 35, 26, 0, 21, 0, 9, 10, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0, 11, 0, 0, 0, 0, 0, 2, 36, 0, 0, 1, 0, 12, 0 }
100

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 75, 76, 76, 76, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 77, 77, 77, 78, 78, 78, 78, 78, 78, 78, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 82, 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 84, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 89, 90, 91, 91, 91, 92, 93, 94, 95, 95, 95, 96, 97, 98 }

{4, 7, 9, 11, 13, 14, 19, 21, 23, 26, 28, 37, 40, 41, 42, 43, 45, 46, 47, 52, 53, 55, 57, 58, 59, 60, 66, 69, 70, 71, 72, 75, 76, 80, 81, 83, 86, 89, 91, 95, 5, 6, 8, 9, 10, 12, 13, 14, 17, 18, 27, 28, 29, 30, 31, 32, 34, 36, 37, 39, 40, 43, 46, 47, 48, 49, 54, 55, 56, 58, 59, 61, 65, 66, 69, 70, 71, 72, 74, 76, 83, 88, 91, 94, 96, 98, 99, 4, 6, 7, 8, 9, 10, 11, 13, 14, 16, 17, 22, 24, 26, 28, 29, 32, 33, 34, 35, 36, 37, 38, 40, 43, 48, 57, 63, 67, 70, 71, 72, 73, 74, 75, 78, 87, 91, 93, 94, 96, 98, 99, 4, 5, 7, 13, 15, 18, 20, 21, 23, 24, 26, 27, 34, 37, 43, 44, 47, 50, 55, 59, 61, 62, 63, 64, 68, 70, 71, 75, 78, 79, 80, 81, 86, 87, 89, 91, 92, 93, 94, 95, 97, 99, 13, 14, 19, 25, 26, 27, 32, 35, 36, 37, 39, 41, 45, 46, 48, 49, 50, 52, 54, 55, 57, 58, 59, 61, 64, 65, 67, 69, 70, 72, 75, 79, 80, 81, 84, 85, 86, 87, 89, 92, 93, 7, 9, 13, 14, 17, 21, 22, 23, 25, 28, 29, 32, 37, 38, 40, 42, 45, 49, 54, 55, 60, 66, 70, 72, 76, 77, 79, 80, 81, 82, 85, 86, 87, 90, 93, 94, 95, 99, 7, 12, 13, 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1, 1 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Statistics

Problem Statement for "ForbiddenStreets"

Problem Statement

Definition

Notes

Constraints

Examples