TopCoder Statistics - Problem Statement

Problem Statement

Your task is to find n positive integers. We will label them x[0] through x[n-1].

We will give you some information about these integers. Namely, for some pairs of integers we will tell you both their greatest common divisor (GCD) and their least common multiple (LCM).

You are given the int n and four int[]s: A, B, G, and L. These int[]s will all have the same number of elements. Their meaning is as follows: For each valid i, the integers x[ A[i] ] and x[ B[i] ] must have the greatest common divisor G[i] and the least common multiple L[i].

Return "Solution exists" (quotes for clarity) if there is at least one way to choose x[0] through x[n-1] so that all requirements are satisfied. Otherwise, return "Solution does not exist".

Definition

Class:: GCDLCMEasy
Method:: possible
Parameters:: int, int[], int[], int[], int[]
Returns:: String
Method signature:: String possible(int n, int[] A, int[] B, int[] G, int[] L)
(be sure your method is public)

Notes

The greatest common divisor (GCD) of two positive integers x and y is the largest positive integer z such that z divides x and at the same time z divides y.
The least common multiple (LCM) of two positive integers x and y is the smallest positive integer z such that x divides z and at the same time y divides z.
For example, the GCD of 10 and 15 is 5, and the LCM of 10 and 15 is 30.

Constraints

n will be between 1 and 500, inclusive.
A will contain between 1 and 500 elements, inclusive.
A and B will contain the same number of elements.
A and G will contain the same number of elements.
A and L will contain the same number of elements.
Each element in A will be between 0 and n-1, inclusive.
Each element in B will be between 0 and n-1, inclusive.
For each i, A[i] and B[i] will be different.
Each element in G will be between 1 and 10,000, inclusive.
Each element in L will be between 1 and 10,000, inclusive.

Examples

4

{0,1,2,3}

{1,2,3,0}

{6,6,6,6}

{12,12,12,12}

Returns: "Solution exists"

We have 4 unknown integers: x[0], x[1], x[2], and x[3]. The given A, B, G, and L encode the following information: The GCD of x[0] and x[1] must be 6 and their LCM must be 12. The GCD of x[1] and x[2] must be 6 and their LCM must be 12. The GCD of x[2] and x[3] must be 6 and their LCM must be 12. The GCD of x[3] and x[0] must be 6 and their LCM must be 12. There are two valid solutions. In one of them, x[0] = x[2] = 6 and x[1] = x[3] = 12.
5

{0,1,2,3,4}

{1,2,3,4,0}

{6,6,6,6,6}

{12,12,12,12,12}

Returns: "Solution does not exist"
2

{0,0}

{1,1}

{123,123}

{456,789}

Returns: "Solution does not exist"

The LCM of x[0] and x[1] cannot be 456 and 789 at the same time.
2

{0}

{1}

{1234}

{5678}

Returns: "Solution does not exist"

The LCM of x[0] and x[1] must always be a multiple of their GCD.
6

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

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

{2, 2, 3, 3, 1, 2, 5, 1, 5, 1, 7, 7, 3, 5, 7}

{30, 42, 30, 42, 210, 70, 30, 210, 70, 210, 42, 70, 105, 105, 105}

Returns: "Solution exists"

There is one solution: {6, 10, 14, 15, 21, 35}.
500

{0}

{1}

{10000}

{10000}

Returns: "Solution exists"
66

{21,8,46,59,53,28,58,53,65,8,25,50,31,9,10,42,12,17,31,17,26,8,43,27,0,43,59,15,27,9,5,2,54,53,50,40,23,64,42,13,61,54,9,40,27,45,33,8,22,22,62,14,28,2,62,19,37,53,6,56,38,11,57,26,3,44,38,17,58,36,27,6,19,28,0,20,58,11,28,17,21,12,37,20,34,60,29,28,45,54,16,59,24,45,1,28,34,51,43,41,6,8,25,44,56,21,12,6,27,57,35,4,56,35,6,55,56,48,2,9,8,55,22,10,55,16,63,14,55,12,23,23}

{57,38,32,57,41,44,23,51,16,53,21,12,63,2,43,36,28,11,13,23,51,9,52,31,23,35,46,55,40,28,42,40,63,44,24,58,59,19,52,61,28,23,18,10,16,40,47,21,21,61,6,16,20,63,46,9,40,55,13,21,29,64,4,53,45,17,13,5,20,5,5,55,65,6,63,57,50,30,40,30,38,40,47,19,41,43,6,7,24,41,44,8,40,30,2,62,24,45,0,16,29,56,33,27,38,26,34,35,28,7,3,25,36,22,4,2,39,23,6,6,19,50,63,35,41,36,35,29,13,29,49,28}

{1,2,1,2,1,1,1,1,1,1,1,1,15,15,1,1,1,3,5,1,3,1,1,1,1,1,5,5,1,1,1,1,3,1,1,1,1,1,1,2,1,1,3,1,7,1,1,1,1,2,1,1,1,15,5,3,1,1,1,1,2,4,1,1,1,1,2,1,1,4,1,1,3,1,6,1,1,4,1,1,1,1,7,1,1,1,1,89,1,3,1,2,1,1,25,1,2,3,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,5,1,5,1,1,1,1,1,1,10,9,1,7,45,1,5,2,17,1}

{6142,238,4760,740,8811,6586,1190,7743,315,3026,3569,1426,450,75,882,5432,5518,84,300,51,1653,510,6566,5775,1122,4410,340,100,5621,1335,1940,5475,2070,6586,1840,5110,340,4524,6499,340,3026,1173,180,657,385,6789,1330,2822,1660,340,4900,1155,1691,450,1700,435,1533,445,980,1577,518,1092,962,5073,651,222,140,60,1330,280,1540,245,261,4361,990,1406,1610,1092,6497,156,1162,4526,210,1653,8514,1470,3626,89,7440,2277,2590,340,5840,4836,75,8900,3440,2697,3234,3465,3626,646,817,5698,266,4731,2666,2205,6853,6586,315,559,1064,180,637,75,437,323,3675,735,2958,115,180,45,495,280,90,2442,20,2294,34,1513}

Returns: "Solution exists"
172

{17,16,30,21,167,106,1,29,102,46,149,9,2,130,165,113,8,8,151,167,100,131,51,23,70,69,66,46,65,44,106,45,147,146,86,29,161,101,133,107,101,166,56,166,80,113,29,45,169,62,121,82,124,78,126,113,116,94,154,39,133,35,142,131,30,112,168,92,68,141,13,62,14,40,148,63,151,113,36,11,123,3,59,105,64,70,72,110,73,89,66,29,16,54,123,94,145,89,74,8,49,157,154,62,160,7,89,157,131,93,21,68,90,168,54,123,171,67,166,37,154,109,32,30,119,23,82,122,136,135,46,63,144,158,129,115,8,44,87,56,37,82,1,150,16,159,47,9,9,115,102,100,13,66,144,19,9,7,26,25,64,74,89,27,69,71,10,100,26,108,32,11,70,67,98,16,84,73,151,155,90,80,148,115,63,110,138,12,73,104,105,106,48,20,162,55,12,44,169,113,47,116,20,58,125,160,54,162,3,136}

{84,44,128,109,162,72,85,138,48,58,133,111,89,132,38,45,98,83,102,135,7,108,140,64,167,77,168,129,159,147,164,82,64,57,162,147,136,57,68,52,51,138,14,142,51,168,122,37,37,142,124,125,49,91,91,141,58,92,167,90,40,107,25,133,56,86,153,168,3,57,102,116,167,156,5,105,167,27,81,86,51,76,167,131,7,140,23,152,104,73,157,148,61,158,9,19,124,166,0,90,170,137,65,95,6,57,24,147,127,146,26,83,141,44,63,35,156,144,27,141,6,34,97,7,36,113,43,1,113,129,64,40,82,44,113,50,171,146,161,64,92,54,49,10,165,30,124,99,87,111,171,106,161,154,63,50,16,88,2,6,99,87,82,114,164,151,26,164,12,30,155,48,71,132,112,149,2,0,106,2,155,13,89,82,121,146,165,143,29,58,47,167,158,29,85,18,106,21,61,150,135,49,142,163,111,42,57,140,96,133}

{1,14,2,4,1,1,1,2,2,1,1,1,5,13,3,1,1,12,2,1,11,1,1,1,1,2,16,1,1,1,4,2,1,1,1,1,8,1,1,1,1,6,1,1,1,1,1,8,1,1,1,2,1,1,1,1,1,8,5,2,1,1,1,1,1,1,1,8,2,3,7,1,1,1,3,1,1,1,1,1,1,2,1,1,1,2,1,9,3,1,1,2,4,1,1,5,1,2,1,4,1,1,5,11,1,1,1,1,1,1,3,2,2,10,1,1,1,1,33,2,1,2,1,1,9,1,2,1,1,1,3,1,1,5,1,4,4,1,1,1,8,2,2,1,3,1,1,5,1,4,2,1,1,1,1,1,1,1,5,1,1,1,2,1,4,1,5,1,1,1,1,1,1,1,11,4,1,1,2,1,1,1,2,2,1,1,3,1,1,5,1,5,5,2,1,2,4,2,1,1,1,1,1,1,2,4,1,2,2,1}

{5510,420,2726,300,1760,1300,3864,30,1470,3420,3160,260,650,195,2001,1144,3696,240,2254,3135,99,1972,5238,714,4180,2820,240,1260,765,1330,100,4136,399,3999,224,38,360,3534,2054,212,3686,330,3172,858,7760,1040,150,352,2336,1287,779,3102,3526,204,201,546,3515,360,385,620,474,689,455,5372,5734,154,240,720,598,1302,1274,3663,2860,150,2784,5293,2530,1287,531,371,7469,414,770,5372,231,2052,442,297,390,1950,48,96,1092,5330,5005,520,328,1650,1577,240,4730,78,595,396,1204,1023,1550,19,3060,2021,180,780,420,560,5494,1001,100,3717,198,672,1505,3300,150,1034,36,442,2162,4200,936,1995,252,402,5922,910,455,1600,48,3010,3480,1281,288,3854,2408,7100,1932,846,2870,130,5655,100,196,9900,3640,1680,4221,4160,5460,880,585,1505,210,7221,2350,2871,60,230,900,396,360,2726,82,1590,380,3835,154,840,3770,741,2300,2665,820,7280,2400,4700,1273,4257,690,712,78,570,5530,1100,390,22,2208,1242,200,420,3796,923,3990,3182,286,5890,132,308,7626,864,828,5688}

Returns: "Solution exists"
66

{27,31,52,58,53,20,59,55,43,21,28,1,51,28,50,4,6,19,49,18,15,28,21,29,44,13,37,33,16,62,27,16,0,35,25,56,59,55,62,19,10,13,49,5,9,41,49,45,58,58,33,30,37,50,27,11,21,44,2,49,23,59,64,42,44,28,34,40,13,19,63,13,49,41,57,5,29,18,31,52,46,24,39,63,31,13,50,39,47,62,20,29,46,39,11,27,12,26,7,32,14,61,34,29,1,0,61,13,31,34,23,13,65,29,59,3,12,52,18,17,28}

{39,51,65,53,13,65,22,38,32,24,23,56,53,9,57,5,3,64,18,9,38,16,60,48,29,51,45,12,60,43,61,36,59,37,55,1,5,22,29,38,59,20,33,12,22,32,17,29,8,44,60,26,65,5,65,27,40,27,32,58,20,60,10,30,64,37,36,23,58,15,9,29,48,2,15,17,51,59,25,49,42,8,29,41,10,27,47,5,29,37,3,40,65,45,10,21,52,34,21,65,31,45,57,61,17,47,65,47,34,60,18,9,63,32,18,34,53,3,8,61,5}

{14,1,6,4,2,2,1,4,1,1,1,1,1,2,1,1,2,1,1,6,2,2,4,1,2,1,1,1,2,2,2,6,6,1,4,1,1,1,2,1,4,2,11,1,1,1,1,1,5,2,1,1,1,1,2,1,1,2,1,1,1,4,19,1,1,1,1,3,2,1,6,2,1,1,2,1,1,24,2,1,1,1,2,4,2,2,5,1,2,1,62,1,2,1,1,28,2,1,2,1,1,3,1,2,37,2,30,2,1,1,3,2,6,1,24,1,4,2,3,1,1}

{140,5246,210,160,1184,930,1608,644,3528,532,144,1406,1952,432,990,1242,1674,285,528,432,3772,144,364,2030,638,4514,7347,748,468,936,1260,90,216,4029,644,1406,552,1876,754,460,456,2294,11,1564,3618,196,407,5394,300,220,572,2146,2370,1265,420,84,1092,308,637,220,558,312,228,319,1254,1264,2370,117,740,410,432,2146,385,52,738,851,3538,48,3956,462,682,1425,2030,48,3268,1036,1100,1610,2900,2054,62,2262,930,6510,228,28,1428,5846,868,1470,5762,2790,1422,2610,37,2700,90,3700,6794,4108,144,1998,240,2842,48,4898,544,1302,1200,3330,368}

Returns: "Solution exists"
242

{61,96,70,3,61,184,0,140,113,24,3,53,159,132,91,57,168,89,221,43,166,4,111,61,101,96,33,76,232,226}

{1,44,162,7,13,110,44,93,41,102,237,0,30,172,105,206,169,36,139,91,23,8,152,178,140,189,130,15,124,4}

{2,1,1,4,1,1,1,1,1,8,2,3,1,1,1,1,1,3,1,1,1,1,14,1,1,1,3,1,3,1}

{86,138,1666,544,66,1775,1311,3157,435,720,3060,1539,234,1003,148,2538,2706,2262,4606,388,4257,2352,392,198,2542,282,594,5934,78,2303}

Returns: "Solution exists"
332

{149,214,111,73,294,121,69,289,320,194,63,267,190,291,65,54,198,62,236,51,170,316,249,235,43,2,217,228,278,192,207,268,241,48,201,204,76,276,232,230,233,41,231,304,210,117,27,139,39,26,86,77,109,280,331,112,57,247,148,317,275,83,121,129,27,83,98,199,316,82,260,0,323,329}

{233,183,230,203,246,174,282,246,63,161,250,270,130,145,157,232,305,107,136,6,206,200,175,8,232,111,310,183,176,299,328,98,142,25,188,164,273,248,75,104,206,76,119,265,313,253,243,274,287,275,269,178,306,164,123,321,112,303,266,182,201,217,266,135,188,119,311,152,330,285,9,56,47,302}

{1,2,1,2,7,1,1,3,1,2,1,25,8,1,1,1,10,3,3,1,3,6,12,3,8,3,5,1,1,1,1,4,2,1,1,1,2,1,1,1,3,4,1,1,1,1,1,12,5,2,2,1,1,1,1,2,1,3,1,1,1,4,1,1,1,1,13,1,4,2,2,1,1,1}

{336,846,5115,2480,105,371,3534,609,765,924,1394,75,56,1012,5670,2856,300,1116,594,1700,189,108,252,1932,280,1767,400,3854,2412,546,369,1300,3008,2520,3060,1147,80,310,2632,3960,432,560,5355,5170,286,590,1771,672,170,644,3936,1155,2829,2170,6486,20,310,936,5025,99,2070,1360,3975,4650,5236,4284,52,1008,204,858,2480,944,305,738}

Returns: "Solution exists"
22

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

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

{1,2,1,4,1,1,4,1,1,2,1,30,1,1,3,3,1,3,1,1,3,4,2,1,2,1,1,1,2,3,2,1,16,1,1,2,1,1,3,1,12,3,1,1,2}

{679,2244,161,612,48,97,1140,4947,228,176,6790,180,4080,6790,1275,60,7372,1122,7275,3492,3,1140,720,6402,836,345,1020,3,720,36,1260,7760,80,7,7275,638,228,6402,75,4080,180,36,1455,6790,1740}

Returns: "Solution exists"
249

{190,33,85,11,70,151,32,230,136,20,2,81,231,81,37,29,28,87,190,6}

{146,90,30,172,228,146,25,221,24,102,198,40,147,218,93,95,30,191,133,229}

{4,1,1,1,1,1,2,1,4,1,1,12,1,10,1,1,22,1,1,2}

{2208,6642,308,5244,3900,644,792,5720,12,392,1776,120,284,420,2590,6237,132,1537,6240,286}

Returns: "Solution exists"
448

{150,122,59,423,214,53,374,405,34,166,221,158,296,236,9,347,139,314,70,314,96,407,84,187,242,95,39,115,447,320,168,75,377,317,242,130,134,239,150,295,320,255,280,416,53,109,432,422,296,397,394,391,399,132,5,34,211,335,183,174,211,445,104,372,225,176,403,400,67,32,41,245,243,407,77,422,416,54,408,125,171,367,343,167,235,9,72,421,105,31,225,205,292,353,265,328,206,402,93,82,333,8,428,189,252,367,187,430,296,390,258,222,83,96,365,154,116,421,28,260,52,78,420,208,114,365,203,327,321,163,272,327,101,103,289,1,90,326,162,250,397,157,429,267,32,225,269,417,234,408,258,125,309,93,384,437,126,96,111,114,313,99,44,304,202,126,71,0,205,28,131,137,79,60,25,195,338,177,118,187,78,354,440,274,170,267,437,446,199,442,372,71,54,146,370,267,188,332,158,123,405,113,93,284,110,33,391,6,170,16,104,360,286,195,128,130,21,87,259,170,333,443,410,328,248,241,288,26,444,17,102,241,243,198,240,113,171}

{439,368,66,446,354,3,56,130,254,297,188,168,254,387,325,358,189,186,239,309,120,438,122,81,209,167,200,315,141,256,35,183,343,183,245,13,315,263,334,140,44,111,98,195,191,240,264,390,173,274,60,111,21,351,222,346,440,166,241,424,379,122,413,190,360,49,429,3,365,38,273,229,411,119,413,20,296,263,328,4,174,253,238,112,427,131,15,338,319,392,78,428,368,318,242,259,297,93,424,94,54,158,64,267,10,193,43,411,122,72,388,161,128,313,260,246,120,288,12,248,358,395,222,327,174,204,292,6,410,379,232,416,408,433,347,64,314,206,79,24,436,307,188,219,417,201,254,131,190,312,341,332,430,305,420,183,180,37,50,8,124,11,237,136,82,286,34,68,41,92,326,12,278,137,48,308,147,106,92,150,253,266,106,271,213,441,221,382,2,71,285,200,14,13,373,150,165,421,85,85,281,173,17,373,353,329,161,171,405,158,31,240,243,87,332,383,413,35,203,155,89,180,36,262,16,2,66,203,15,391,373,117,73,321,369,21,147}

{1,3,4,3,1,1,6,1,2,1,3,1,1,21,1,1,1,3,1,1,3,3,2,3,1,1,1,2,1,1,1,1,3,1,1,4,2,1,17,5,1,1,1,1,2,3,2,1,1,47,1,23,3,1,1,10,1,1,1,3,1,11,1,6,3,2,1,1,1,1,3,1,1,1,1,1,1,8,1,1,3,1,1,1,1,39,5,7,1,9,1,1,1,13,1,1,1,1,1,1,1,2,1,1,25,2,1,1,1,5,1,1,2,1,3,1,3,1,1,3,3,1,1,1,1,11,1,1,1,1,1,8,1,3,1,2,1,1,1,1,1,1,1,1,1,3,2,1,3,1,3,7,1,1,1,1,1,1,1,2,44,9,1,2,1,1,3,1,1,1,1,1,4,1,1,1,1,1,1,1,5,1,1,1,14,1,1,1,1,1,2,1,1,2,1,1,1,7,22,2,1,1,1,5,5,2,1,1,1,1,1,3,1,1,4,4,1,1,1,1,1,2,1,1,5,1,3,1,1,1,1,1,1,79,69,1,1}

{680,1782,336,2262,1357,2350,84,284,1110,8265,153,770,1850,252,1599,174,3650,180,1456,2610,1053,2349,330,900,3111,1624,2370,1518,5418,4758,385,255,693,833,5978,80,2112,6552,51,585,3233,690,3050,5664,94,414,1224,8455,2225,47,4380,69,2016,910,4307,60,3485,435,1241,324,765,66,4544,360,1116,190,550,2150,6435,2275,2100,3626,506,5265,355,8544,2400,792,2499,4004,2025,630,8415,1885,1960,39,350,455,528,504,6045,1419,2835,130,5734,4539,7695,527,372,3822,8184,550,264,1022,50,28,2550,1794,1650,475,630,2190,624,7128,198,3078,429,4641,390,90,870,5395,2336,664,1296,99,805,568,237,306,4300,96,833,1449,26,200,3060,567,1296,7,4371,4753,99,518,1025,279,592,1599,990,3920,171,308,2262,1085,1824,697,462,6642,1518,400,88,108,3180,1300,1568,3135,330,1566,3225,730,273,2262,368,4234,2850,4661,1505,2544,6497,1275,585,531,2173,4183,294,574,2091,7743,1978,3135,2232,2607,1848,1040,340,238,873,364,88,1848,3479,6319,465,1615,65,660,690,5325,6958,2090,4032,828,1045,59,112,32,6816,11,2047,1470,4557,602,273,255,855,1679,1428,1978,6090,345,3485,3796,418,79,69,6816,3225}

Returns: "Solution exists"
31

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

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

{2,2,2,1,14,1,1,1,1,1,1,1,1,3,1,1,2,2,1,7,4,1,1,1,1,1,1,1,1,1,41,4,1,2,1,1,2,2,4,1,1,1,1,14,2,5,1,21,1,1,1,20,1,1,1,6,28,1,1,1,2,2,1,1,1,1,2,5,1,1,1,1,41,1,1,2,1,4,1,1,1,1,1,1,21,1,1,50,2,1,2,1,1,7,1,1,1,1,1,1,1,2,2,1,7,1,1,1,1,2,1,1,1,1,43,1,2,1,1,14,1,1,2,1,41,1,1,1,1,1,14,1,7,1,1,1,1,2,1,1,1,2,4,7,1,1,2,1,1,7,3,1,20,2,1,2,2,1,2,1,14,2,1,1,1,1,2,1,1,1,1,43,1,1,1,1,1,1,2,4,5,1,1,1,1,1,1,1,1,10,41,1,2,1,2,7,1,1,1,2,1,8,1,1,1,1,1,1,1,2,1,4,1,2,1,2,6,2,1,1,1,2,1,3,1,2,1,1,2,12,1,9,28,1,9,1,1,1,2,3,1,2,1,1,7,1,1,7,1,1,2,1,2,3,1,1,1,3,2,2,1,2,1,1,2,4,1,2,1,1,4,2,2,1,1,1,1,5,1,7,1,12,2,2,6,1,1,1,3,3,2,1,2,6,2,3,3,1,1,1,50,1,1,1,1,1,1,2,1,1,1,1,24,1,1,2,1,1,1,2,1,1,1,2,14,1,1,1,1,1,1,1,12,3,1,1,1,1,1,1,1,1,24,1,1,1,41}

{2604,1850,868,3569,84,1932,7790,301,1247,2021,4950,4150,1554,552,665,203,1722,984,1968,924,700,2241,1363,658,3034,6160,2378,756,4774,984,82,700,4002,700,2666,4700,1550,84,168,1161,1743,203,7790,84,1392,1520,6555,84,1350,3403,9405,400,42,7920,2726,24,84,2378,2050,560,434,812,5510,2700,665,4118,42,950,3280,8118,2666,4118,41,6640,2666,1218,3901,600,5964,4700,4150,282,1161,2256,84,3182,1350,50,868,483,1776,1968,1968,231,1032,7700,2324,4085,1704,2256,3550,1218,1850,5254,924,3760,5254,6142,6972,168,329,3311,1554,2280,43,1316,3108,4300,3450,84,984,6138,2542,2256,41,609,1189,1204,4085,2350,42,4118,231,3444,1554,602,42,1850,2050,1032,329,696,336,84,3182,581,186,5742,1350,308,2277,2324,400,868,4150,1850,2100,6555,2960,2050,84,812,5727,1491,2350,1386,3100,6138,1107,7920,2324,43,693,3280,2146,574,2829,2660,84,600,950,1722,2666,6138,903,2772,1704,4257,287,400,82,5698,186,2829,222,77,3526,966,2666,1850,3569,240,3990,9900,1148,6142,574,3408,2324,518,426,168,3550,1850,1302,3100,24,1302,3157,693,4950,2100,1932,216,5106,518,2829,861,240,168,6900,297,28,5313,297,1107,5742,3895,406,168,2871,2100,3526,406,28,3550,3526,924,3619,518,600,1247,222,138,3440,861,1148,216,574,1200,1189,600,5467,3760,3700,168,1363,2378,1450,4257,168,1850,1488,1148,2900,6972,1148,1900,434,84,1763,336,1554,2320,48,1302,1204,5742,189,1386,1200,301,434,84,1392,966,54,336,1032,1204,50,1743,258,1722,3569,7790,1806,3034,4278,1450,3157,8118,48,2324,1330,1200,4300,4002,6900,222,1269,5254,6314,812,42,4002,1218,4950,7920,2666,7790,1161,168,378,2160,2660,1032,3619,1968,1302,168,2150,48,301,1927,1763,82}

Returns: "Solution exists"
231

{47,96,191,200,62,201,226,131,4,89,92,230,36,55,146,161,25,186,75,192,65,83,225,72,128,77,171,213,103,162,15,56,42,100,61,85,47,40,7,229,163,81,176}

{40,121,116,208,136,149,22,33,68,60,117,19,65,149,178,8,43,18,119,107,46,199,154,179,145,173,155,131,223,223,72,163,177,31,12,49,84,172,130,14,43,224,52}

{1,2,2,2,2,1,1,1,1,46,1,1,1,3,1,3,1,2,20,1,1,1,1,1,1,1,1,1,1,3,18,1,17,1,2,1,25,1,1,3,1,1,1}

{325,1368,150,216,168,1794,924,8700,3738,92,3094,840,235,624,738,1377,2464,1110,300,72,2914,2990,3420,1764,264,1360,4526,8100,7227,693,108,6555,170,891,552,4050,50,962,2805,2604,5313,2310,3854}

Returns: "Solution exists"
498

{102,250,109,277,463,386,115,194,470,44,215,375,47,217,394,465,323,204,456,310,255,116,69,252,292,159,266,89,120,273,225,297,455,337,195,20,219,38,186,407,348,287,133,333,96,428,309,462,274,479,16,189,369,351,213,430,221,427,240,489,150,106,77,178,369,98,77,195,442,299,262,282,109,417,379,230,371,163,222,248,447,99,303,203,283,360,311,115,227,435,309,414,465,302,6,172,32,232,185,371,256,257,205,369,404,201,151,297,454,365,55,434,59,386,77,247,240,152,252,279,486,372,292,20,475,36,261,117,281,195,100,368,330,146,126,169,435,352,287,17,281,134,82,385,70,125,41,364,137,85,69,151,328,479,454,310,239,127,340,1,8,189,250,354,185,449,484,330,257,138,81,218,432,415,327,113,196,239,348,150,416,467,347,4,228,347,315,443,262,447,95,261,449,68,118,50,91,403,493,255,267,471,75,184,341,406,264,278,302,10,206,445,477,262,127,162,113,416,42,27,402,420,121,186,0,335,31,321,169,92,413,92,419,24,360,346,92,255,117,196,103,262,69,347,65,377,390,401,457,178,49,214,269,319,467,412,391,45,169,289,387,348,57,341,215,106,83,187,16,458,457,328,161,178,340,299,273,73,176,150,93,371,206,14,420,362,433,229,418,298,362,322,469,60,182}

{105,408,145,69,26,248,342,333,36,369,247,269,118,162,341,250,487,281,114,218,466,199,24,382,442,365,182,351,165,391,45,154,442,35,218,192,351,398,76,197,63,355,187,303,275,163,62,226,266,312,306,360,355,474,86,390,172,170,212,407,148,239,31,45,213,137,26,221,7,431,141,304,300,223,208,76,140,464,388,16,187,108,329,200,284,350,33,210,129,201,329,347,258,161,80,372,248,305,176,151,126,391,254,105,393,75,233,91,164,127,350,180,406,383,321,155,118,195,204,115,183,187,280,401,470,439,248,28,429,479,230,222,400,476,83,396,38,63,434,204,446,456,426,33,334,404,365,392,368,331,93,132,452,105,263,251,312,212,41,43,491,251,198,130,368,133,142,31,376,390,435,422,340,116,246,234,325,386,397,231,300,31,40,332,110,381,126,28,258,258,407,307,214,159,340,317,118,454,200,405,106,111,408,102,46,310,189,197,487,293,204,438,327,114,38,343,272,195,266,409,335,215,456,60,430,94,169,475,387,490,371,270,468,325,278,146,313,200,482,282,280,141,219,434,311,450,426,338,210,173,232,130,119,465,241,382,25,195,142,350,166,435,325,26,162,286,16,12,344,94,407,204,406,293,128,286,168,365,0,341,45,492,22,268,435,342,164,117,125,352,71,333,191,237,278}

{5,3,1,1,1,1,1,1,7,4,4,1,1,1,1,1,5,1,9,2,1,2,1,1,1,3,1,7,6,2,10,1,1,49,2,1,7,6,1,1,1,4,1,1,5,1,1,1,1,1,2,1,4,1,1,1,1,2,17,1,2,1,1,2,2,1,2,2,1,3,1,2,1,1,1,1,19,1,85,3,1,1,1,2,2,1,7,1,2,6,1,1,1,5,4,1,1,6,1,2,3,3,1,1,3,3,1,1,2,1,3,1,1,1,5,2,1,18,1,4,2,1,1,1,8,1,1,1,1,1,8,1,7,1,1,1,6,1,1,1,1,1,1,1,1,1,1,1,7,1,19,1,1,1,1,1,1,1,1,1,1,1,21,12,7,96,4,1,1,1,3,2,14,1,1,1,4,1,1,6,1,1,1,1,1,2,1,2,7,1,1,43,2,3,1,1,47,2,1,1,2,1,3,2,1,1,1,4,25,5,1,3,1,6,1,1,1,1,5,1,2,2,1,1,12,2,1,1,1,1,2,1,1,1,40,3,1,3,1,2,1,1,2,1,1,1,1,1,1,1,6,2,1,1,10,10,3,6,1,1,1,1,2,1,7,8,2,1,2,2,1,1,1,1,2,3,2,1,6,3,1,2,11,2,2,1,2,1,1,1,3,1,30,1,1}

{1360,798,7917,1026,4508,4218,4288,285,392,1564,728,4956,3196,966,4641,1722,850,6305,810,1394,2067,720,570,2310,7221,198,1475,315,180,18,300,1150,664,49,918,8463,70,90,3416,1260,3204,748,3552,1365,440,2077,3920,2822,1200,1548,144,3760,1564,665,658,900,72,3036,51,3555,258,3040,450,420,644,8463,2300,216,7719,672,2478,588,7656,1443,9310,4880,38,938,85,342,851,1870,7735,1710,988,2640,42,4160,3100,336,4165,2958,287,450,960,306,741,858,546,988,2139,414,882,7820,165,432,3900,2350,310,2409,693,540,4814,666,350,780,2397,216,3201,1216,3700,1258,7482,2418,448,3479,2451,4028,3120,2322,80,595,154,3465,966,3913,42,1692,1188,7469,4160,81,703,1554,910,840,1749,4004,91,2709,38,572,4623,3655,870,1722,3420,1241,5194,1085,553,987,42,288,91,96,408,693,3657,2300,1386,918,98,944,80,6072,1088,7030,2225,24,5368,180,4118,923,2820,812,1725,76,42,161,315,86,4128,198,4606,1880,47,220,3330,780,928,6142,513,880,4029,6806,1504,280,50,65,4268,1170,45,630,438,273,6486,3294,475,4268,2240,952,2025,3304,252,2240,387,2240,2365,2090,1672,4015,7426,1020,80,2772,5060,1170,583,3136,4730,2478,266,1566,1162,30,925,754,5395,854,936,4128,472,1148,20,420,450,540,1032,2244,3740,3738,1020,4692,168,96,126,1221,774,2030,3735,6693,7470,70,3724,168,10,165,84,102,1140,38,308,1320,714,4623,2232,2597,3416,4042,483,960,180,767,2360}

Returns: "Solution exists"
126

{46,66,110,23,45,6,84,26,45,33,114,87,86,38,3,57,41,17,0,1,107,53,15,117,112,42,37,45,7,3,10,122,95,31,56,49,11,55,104,120,41,45,58}

{30,9,100,118,97,122,11,101,56,77,91,93,121,91,63,102,10,22,38,48,45,54,111,55,91,56,18,88,74,81,64,47,67,1,119,58,10,110,79,22,74,17,48}

{1,2,1,1,2,8,2,2,1,1,19,1,1,3,1,1,1,1,9,1,1,10,1,1,1,1,1,2,1,1,2,1,1,13,3,1,2,1,1,1,1,4,1}

{315,1672,6723,355,2300,112,234,3526,8556,873,114,1190,2405,513,2920,2400,126,528,189,4628,9108,50,1290,6097,2508,3255,1794,3956,3256,6643,644,304,8265,260,651,518,182,5561,5360,110,333,1104,6586}

Returns: "Solution exists"
241

{56,124,76,48,222,234,46,192,42,50,156,123,14,28,177,35,46,162,73,100,75,193,219,4,180,210,147,234,141,103,4,131,84,213,25,142,55,22,33,159,134,2,143,20,39,111,21,70,209,155,39,176,198,218,100,56,219,74,41,19,42,89,123,30,49,164,45,26,147,128,114,143,84,145,24,68,40,147,50,11,235,3,19,68,77,130,77,208,172,5,127,82,16,205,66,64,34,205,22,2,222,178,58,82,234,221,179,54,221,5,39,41,198,165,157,76,147,43,180,152,102,217,76,8,24,74,113,133,120,75,115,117,222,36,142,140,164,210,25,42,57,29,25,83,182,162,112,7,140,60,187,67,112}

{100,157,129,35,160,8,129,127,202,17,197,94,168,59,77,204,215,83,156,50,198,139,87,159,85,175,98,177,150,240,19,205,217,36,169,218,46,130,129,170,48,23,81,126,9,87,121,181,222,148,83,50,25,174,117,213,132,77,225,86,195,207,154,86,163,119,132,59,16,48,224,162,184,204,181,237,51,41,216,186,55,190,97,117,228,70,208,198,112,60,133,119,149,57,202,94,193,195,93,138,198,150,122,79,127,118,86,29,176,63,66,203,215,3,24,98,224,3,72,104,17,162,106,117,121,178,89,221,58,54,111,52,215,122,1,132,114,43,88,82,27,80,99,192,212,114,152,101,126,106,136,123,97}

{2,1,11,2,1,3,1,7,3,3,5,1,6,1,4,2,1,1,1,4,1,1,1,2,1,1,3,17,1,1,16,1,1,12,1,1,1,1,1,1,1,5,1,3,1,1,1,1,1,3,1,15,1,1,2,10,1,1,1,6,1,1,57,5,1,1,1,4,1,3,4,1,1,9,1,1,1,1,1,4,1,2,2,1,1,1,3,1,3,1,1,3,1,1,3,1,1,1,1,5,1,1,1,1,1,1,6,1,1,3,3,43,1,3,3,1,1,1,1,1,1,1,11,2,17,1,1,2,1,3,1,1,1,1,1,1,4,1,1,12,1,1,1,7,1,1,1,1,1,1,1,19,2}

{80,4698,33,1800,803,816,2244,490,456,420,45,4731,858,2860,204,450,2516,4165,160,240,915,2046,1848,3760,53,5340,630,204,7426,4067,480,4692,336,420,7885,3139,1428,51,1353,6862,1656,475,146,462,3990,5236,5916,3026,902,1581,2793,300,5063,1204,272,60,984,132,2408,480,1128,3486,57,210,4410,648,2501,572,3555,1224,84,6205,3984,90,4539,5229,2040,1935,60,300,1785,2352,4128,2142,1140,34,36,549,2268,2343,588,2268,5451,6164,456,1245,4818,4324,4233,1425,671,846,4085,1092,2499,902,120,378,6150,528,456,43,2257,1200,1377,462,180,2640,5300,7480,42,595,88,816,204,99,6308,492,1333,270,2244,238,407,7980,5986,3485,168,4895,7968,168,1876,301,4980,490,170,7140,7140,1144,5610,6248,30,285,3612}

Returns: "Solution exists"
173

{37,41,60,22,160,18,116,85,43,113,102,46,165,69,125,138,167,124,171,154,39,62,81,113,0,154,154,97,15,85,150,8,26,171,129,120,104,115,63,6,124,89,2,3,8,80,81,38,21,6,104,110,65,142,28,107,39,25,63,88,89,15,77,68,134,86,65,27,72,129,158,141,53,86,31,50,94,5,99,114,134,23,123,124,94,144,127,69,119,25,128,106,123,0,116,50,159,34,126,64,120,66,60,125,40,0,63,56,24,150,141,168,92,140,67,29,101,168,60,98,25,42,113,81,54,63,156,60,52,142,10,23,7,15,30,157,32,97,67,13,72,122,84,51,8,25,102,158,78,17,117,153,8,158,146,136,75,143,165,9,60,69,45,124,64,14,32,146,65,133,20,2,45,126,61,80,158,19,69,170,41,33,78,162,164,16,64,100,164,92,166,135,102,116,132,17,49,122,51,18,156,24,134,15,12,145,124,6,67,35,132,122,116,94,62,9,85,114,98,126,97,23,98,146,78,154,152,167,19,131,22,128,27,16,39,92,54,108,59,76,80,140,31,122,43,52,23,10,41,167,83,11,128,101,51,108,10,97,7,121,150,102,132,159,113,57,152,124,68,101,90,70,140,72,2,126,18,59,110,112,110,84,79,12,1,55,99,105,145,164,95,28,9,172,73,161,135,147,42,121,105,23,75,1,34,103,90,170,159,9,143,8,5,26,92,97,0,120,57,171,158,165,146,129,120,54,3,20,79,103,85,74,92,61,96,27,90,115,153,36,11,154,99,33,47,148,152,76,12,166,40,116,20,147,41,22,119,133,129,131,45,25,22,97,79,42,154,89,126,132,166,76,170,145,3,12,90,162,54,20,78,114,168,77,28,94,96,49,12,49,21,35,88,108,26,78,167,123,86,140,21,38,60,33,78,31,75,4,39,151,68,84,13,7,138,67,154,52,52,155,129,14,60,26,105,77,43,59,132,61,65,52,11,102,152,54,57,114,95,8,24,1,62,95,101,113,41,120,1,4,124,163,55,13,58,163,41,123,143}

{128,82,117,58,106,161,98,8,28,30,116,14,30,31,169,68,156,86,3,164,78,130,68,30,70,58,91,137,99,79,61,72,165,146,111,26,148,50,71,55,138,15,4,4,33,69,59,4,132,165,132,148,3,79,22,40,104,98,158,21,17,10,86,157,30,38,154,112,119,13,127,159,74,68,4,79,56,77,41,29,64,159,135,119,135,53,52,137,147,92,82,108,81,149,148,89,55,49,13,103,100,39,57,81,144,46,172,73,121,58,125,51,98,75,115,132,93,71,144,103,15,29,43,49,27,72,146,10,142,144,56,42,16,64,149,8,123,62,129,45,98,168,126,100,130,8,85,15,141,161,97,155,64,83,7,35,64,169,129,43,103,167,153,63,119,76,20,46,82,45,135,1,41,167,124,85,30,68,115,66,73,26,139,43,40,31,152,62,29,159,167,23,46,11,120,107,21,114,132,37,2,109,22,172,166,37,78,4,38,107,117,41,7,10,172,87,56,88,28,76,130,85,107,143,96,109,1,65,145,65,32,87,156,110,156,46,80,127,168,40,130,101,21,137,156,92,79,69,70,132,161,146,33,144,120,128,47,81,164,152,73,68,79,39,47,164,123,28,171,3,110,50,25,105,81,111,89,25,5,104,123,133,26,74,117,3,123,38,96,145,130,156,159,11,165,100,52,126,13,52,45,15,85,85,116,25,56,88,49,31,5,146,134,41,18,72,120,33,44,118,107,64,65,19,83,4,131,152,118,8,34,77,21,144,52,103,121,161,99,68,123,7,155,67,12,71,163,116,5,73,76,112,33,129,112,149,170,135,114,18,3,15,2,36,50,151,18,83,88,143,69,106,107,133,163,168,92,30,162,102,28,147,114,162,83,59,19,141,30,68,158,98,1,86,22,59,73,19,116,157,113,97,18,101,89,134,104,45,69,30,114,147,151,25,37,85,140,116,70,58,88,167,53,10,41,8,11,154,144,95,111,101,109,31,50,5,68,160,104,171,4,52,96,77,112,146,57,21,36,20,14,14,97,94,159,84,73,108,107}

{1,3,6,1,1,4,1,1,1,3,1,1,1,1,1,1,1,1,1,1,9,5,1,3,5,1,4,1,4,1,1,42,1,1,1,1,1,1,1,1,1,2,1,2,3,1,2,2,1,1,1,4,2,4,1,3,3,1,1,1,2,2,1,1,3,1,2,2,1,71,1,1,1,7,1,1,1,1,9,1,14,2,1,1,1,1,1,79,1,1,2,2,1,1,1,1,50,1,1,14,1,3,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,1,1,1,8,6,4,1,2,4,1,2,1,2,1,5,1,1,1,2,18,1,1,1,1,1,1,2,12,1,14,1,3,1,1,1,1,1,2,1,4,1,1,2,1,1,2,2,1,1,9,1,1,1,1,7,1,1,1,1,9,1,1,1,1,1,1,5,1,1,1,1,1,3,1,3,1,1,1,2,6,1,1,1,1,1,1,9,1,3,1,1,1,1,1,1,1,4,5,1,1,2,27,2,1,41,7,2,2,1,2,68,2,5,55,1,2,2,5,2,1,1,1,5,4,1,3,1,1,1,1,1,1,2,1,2,1,1,1,7,1,10,1,1,1,1,7,2,2,1,29,7,1,8,2,1,1,1,1,2,1,8,1,2,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,2,1,1,1,1,6,3,1,1,12,5,15,1,1,1,1,2,1,1,5,2,1,4,14,1,1,1,1,2,2,1,4,8,1,1,3,3,1,7,1,1,1,1,1,2,1,1,71,1,1,1,1,1,8,2,1,1,4,1,2,8,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,7,1,1,17,1,1,1,1,1,1,2,1,12,2,1,1,1,1,2,1,3,1,1,1,1,1,1,2,1,10,1,1,1,1,1,1,1,5,2,1,1,2,4,5,1,1,1,1,1,3,7,2,1,1,1,4,6,1,1,1,1,1,2,10,1,1,6,1,27,1}

{854,1782,756,1392,170,952,13,3066,3285,1566,21,1430,8265,1817,143,77,328,301,154,264,270,1235,602,1566,510,696,24,4740,1800,1168,5429,84,665,336,4544,210,2856,348,5185,2950,473,4300,310,110,630,4345,4042,120,4661,5605,4029,952,902,48,3504,702,1530,377,5063,1003,1806,3900,7,14,1218,168,984,1040,4452,71,5893,950,96,7,230,464,1798,9,648,1971,42,300,1809,2279,1943,1,5680,79,3763,2465,462,54,2322,7565,56,2494,50,2331,5112,70,210,2610,54,1118,78,1105,1037,5146,1272,1769,247,2774,1105,3886,708,5767,3876,3230,54,910,2900,5548,270,5418,1430,5124,48,702,240,12,2418,228,4284,700,7743,42,2538,780,4189,2556,1092,456,216,511,3990,1218,1533,8300,513,1428,420,2280,42,4067,1008,6300,938,682,6745,4095,1890,3239,360,2623,742,220,1786,3120,2706,1332,1273,527,324,2952,3827,4015,7221,98,948,4263,6723,315,216,4410,858,1564,854,455,803,850,123,804,1365,65,2370,378,3717,216,5767,3416,248,120,336,1700,168,427,1161,590,1416,189,6636,648,63,2262,1105,1547,4526,459,949,360,1140,876,351,1488,54,120,1037,82,98,1968,2256,238,104,68,360,1105,55,3834,1786,780,1045,1972,1357,1896,360,1360,48,6162,810,3239,3332,3120,630,68,2190,378,2730,2580,693,3233,5063,21,1264,450,1890,11,1647,3139,7,748,2244,870,58,420,2666,576,2408,2726,612,4080,1836,1998,112,672,1428,550,216,840,378,77,2565,584,4550,1105,7885,476,5360,5112,5396,4240,1260,300,4891,1241,37,2030,2046,833,3150,2093,558,336,126,567,4760,420,510,90,45,700,2241,1330,1968,6958,1470,110,528,1159,400,210,2701,96,5015,89,2160,910,3498,204,360,224,1755,504,1368,2655,280,4760,1464,20,504,249,780,80,855,71,6480,4272,2597,4958,1917,336,396,2900,1488,480,464,2508,168,4214,1224,4898,237,20,1323,518,264,1064,5610,8526,5390,399,1971,1917,1026,98,3577,2726,2646,1197,4872,63,4897,819,17,378,336,2538,3403,2646,7,58,3186,120,1512,3060,2322,966,3417,180,7110,1914,189,3834,4686,1827,671,4307,696,80,240,1653,1207,902,54,546,2835,42,585,1128,79,2403,2624,1360,130,483,1769,495,7,2295,459,42,120,1360,3510,27,1360,432,81,1770,544,190,946,264,300,2059,1450,216,6723,54,1674}

Returns: "Solution exists"
174

{78,98,53,170,27,75,25,161,169,102,51,164,2,29,51,54,161,70,50,154,10,65,81,153,64,21,67,119,11,80,86,118,91,43,51,149,12,36,44,61,57,47,57,77,117,44,169,47,7,85,141,144,84,60,62,25,6,156,72,118,63,149,93,153,9,126,103,74,114,65,155,75,72,173,33,146,125,25,107,7,96,126,54,103,132,126,41,69,151,131,28,70,131,78,149,158,108,125,44,169,60,117,91,85,149,63,87,162,110,149,116,135,93,51,97,7,117,132,121,153,31,25,52,77,71,141,148,164,136,92,56,114,118,116,134,173,17,132,164,162,115,28,118,31,42,9,165,119,28,21,167,161,32,70,105,137,134,51,61,43,45,84,135,12,135,25,85,33,25,31,27,32,56,145,78,12,54,14,86,31,116,115,162,64,102,78,19,119,124,60,149,106,68,119,80,139,91,35,148,89,160,36,116,53,155,57,87,104,4,124,10,146,33,37,90,10,70,118,66,143,164,92,170,156,36,95,119,106,119,130,149,39,28,57,144,131,143,51,97,132,28,134,9,32,93,19,82,58,83,160,37,13,54,155,147,149,163,50,45,71,80,154,113,78,84,80,139,145,66,148,139,115,126,157,122,93,61,95,2,68,81,38,91,86,86,112,67,8,46,1,84,106,162,35,39,76,163,11,52,112,117,112,163,113,25,161,65,127,137,150,100,44,39,77,12,47,123,88,15,92,15,103,86,78,59,22,131,50,141,12,140,84,110,22,145,146,10,87,171,73,87,155,12,15,125,78,78,52,151,31,22,18,48,64,10,160,153,167,28,163,117,141,9,107,92,39,43,19,155,20,51,168,96,164,29,101,18,101,77,45,33,129,157,82,167,104,118,1,18,33,105,49,17,43,34,41,97,165,6,129,0,143,145,49,46,54,150,125,109,63,92,15,2,78,82,14,91,96,43,170,17,164,151,91,70,101,145,48,49,112,92,155,65,2}

{116,118,69,147,150,78,172,166,156,34,149,131,23,148,13,167,12,128,158,155,79,12,64,28,39,89,102,105,59,127,75,71,86,84,115,8,69,18,155,39,28,134,100,36,8,78,11,142,168,12,161,103,101,129,133,77,42,104,8,51,89,69,48,26,36,149,32,12,109,109,15,74,68,7,17,48,7,26,103,56,55,170,85,121,92,98,83,70,97,109,8,87,53,129,16,37,138,5,134,170,84,83,159,77,8,14,48,11,56,72,63,144,14,28,11,82,77,25,140,19,76,112,41,17,149,128,45,126,60,64,6,75,171,78,37,62,67,122,114,160,136,137,63,16,28,51,57,14,16,156,160,3,0,135,129,76,118,96,73,172,2,16,172,0,161,155,117,171,81,106,4,160,156,30,149,85,29,77,61,91,12,8,150,37,25,30,6,65,168,126,61,73,67,157,131,54,162,37,85,120,91,52,95,146,29,83,45,107,96,166,22,81,14,15,96,82,153,71,117,134,53,104,33,56,118,45,130,20,28,107,115,58,167,136,82,115,48,141,137,87,45,124,27,132,118,53,19,130,57,101,60,64,25,7,104,147,159,17,97,58,43,88,130,103,3,35,167,27,70,19,32,16,12,130,18,13,162,30,21,25,148,44,107,121,126,124,123,115,49,40,162,8,169,76,11,119,136,98,165,172,95,139,59,72,162,107,140,45,125,60,124,46,42,148,148,81,26,83,30,40,144,101,136,148,114,81,28,52,140,63,40,163,99,25,54,11,52,115,160,53,74,108,84,98,145,46,100,60,23,96,130,109,35,145,133,144,7,48,87,162,136,52,139,44,118,18,76,134,166,8,161,56,93,55,137,103,156,68,70,33,43,79,128,55,76,102,162,155,101,173,81,72,8,94,15,67,141,16,84,113,100,31,50,156,139,109,16,14,167,25,44,171,112,97,115,15,100,152,54,157,135,52,128,85,173,110,78,112,51,77,67,143,50,147}

{1,3,4,1,1,1,1,50,1,1,45,2,2,2,5,4,1,1,4,1,2,1,3,13,1,1,1,1,1,1,3,2,1,1,9,1,1,2,13,1,26,1,1,7,1,1,1,3,1,1,10,1,1,1,1,1,4,3,1,9,1,1,6,1,6,1,1,1,2,4,3,1,1,1,2,18,1,1,1,1,14,1,2,2,2,1,1,1,1,2,2,1,2,1,1,1,1,3,2,5,1,1,1,1,1,1,2,1,46,3,1,1,1,3,3,1,7,1,2,1,4,1,1,1,1,2,2,1,1,1,2,2,3,1,5,1,1,2,2,1,1,2,2,1,2,3,1,1,1,1,1,1,1,5,8,4,2,1,1,11,2,1,1,1,10,1,1,1,1,4,1,1,2,1,1,1,4,1,3,2,1,1,1,3,1,1,18,1,2,83,3,5,1,1,1,4,82,9,2,1,1,2,1,2,1,1,2,1,1,2,1,9,1,9,2,1,5,2,3,2,4,1,2,2,12,2,1,1,1,1,9,1,2,13,1,1,2,5,4,4,2,2,1,1,12,2,1,1,1,1,1,7,1,1,1,1,1,6,2,1,1,28,2,1,1,1,4,1,5,2,1,1,1,32,2,7,2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,2,1,4,1,1,1,3,1,7,1,2,1,1,1,1,2,1,4,1,1,2,5,1,1,3,3,1,1,2,1,2,1,1,1,9,2,2,10,1,2,3,4,1,4,3,2,1,3,1,1,1,3,3,4,1,1,1,1,8,1,2,18,1,1,1,1,2,2,1,1,2,2,1,2,1,2,2,1,1,5,2,28,2,4,2,2,2,1,2,2,4,2,1,4,3,2,1,2,1,3,1,2,1,2,1,4,1,9,2,1,8,4,1,2,4,1,1,4,1,2,3,2,1,1,1,1,1,2,4,30,2,1,2,1,4,1,2,1,7,1,1,4,1}

{1909,1044,832,1660,285,2208,1309,50,4560,4524,45,340,22,2204,315,368,1950,1550,312,2184,372,1092,63,390,1995,713,4089,1272,75,255,96,828,246,594,135,3330,2496,3612,156,1140,78,3570,1638,588,4662,1196,285,1173,682,1482,200,1358,2376,2656,2961,833,360,720,2442,180,322,2880,1260,5655,1092,3735,238,1131,2444,364,234,2784,462,341,870,270,396,1479,1106,506,56,1660,304,434,3772,7221,5913,1600,7140,884,2886,700,884,736,1665,2340,280,396,1820,380,2241,4599,6806,1862,3330,70,1260,246,92,495,1162,2910,420,1170,84,253,441,1564,310,3510,152,238,2754,1470,2070,1240,1798,1660,1079,1722,828,4512,684,1909,630,1457,1410,2484,940,1722,351,312,252,296,1560,1170,1222,265,2886,1488,1932,2350,850,150,96,152,1260,2520,660,154,62,999,2310,1950,150,663,2394,3306,153,40,1387,357,1104,2332,1035,1482,304,245,12,328,3237,1998,1230,315,1479,1219,108,1484,682,83,180,220,658,3392,170,304,82,360,1102,161,1722,1428,4316,1404,2964,1898,868,3555,4088,550,3906,54,290,90,2296,1426,325,828,315,2240,260,3690,580,1104,252,1612,1696,1460,4134,2528,135,1235,3588,26,2231,918,2880,360,168,644,2418,770,1482,1564,252,1404,1242,416,1898,1848,3735,105,272,429,3735,3735,5727,120,2604,598,110,168,32,322,1269,360,1748,836,75,1566,1292,999,3237,64,2322,420,492,2756,62,238,522,2548,6478,186,249,154,3525,1998,518,1914,2214,740,7790,1368,285,4028,897,87,1598,154,3276,532,1725,66,1394,3950,140,3162,72,1245,1386,364,760,2842,2262,153,2175,6132,954,2706,1746,616,39,1334,2350,63,1326,408,40,546,330,621,1840,1071,176,54,1054,756,399,2860,812,1560,351,522,396,322,1449,2822,1870,56,2016,2236,360,924,3906,2037,715,4140,1092,5658,819,680,2964,4108,1476,8170,836,1890,1950,5402,450,1426,168,140,152,616,2064,616,1225,1798,638,96,1984,322,1748,1305,1476,1131,3784,1798,72,1221,1110,638,468,3807,840,1739,108,32,3150,64,264,1776,532,208,555,180,1196,238,2132,342,14,1932,621,90,5166,2632,176,320,30,340,5270,1558,775,2024,1012,630,1665,98,3854,2496,168,166}

Returns: "Solution exists"
154

{31,26,90,45,13,86,52,142,66,30,11,112,101,135,40,22,15,82,22,151,17,153,140,125,57,114,88,100,9,53,125,102,107,78,138,92,97,108,80,35,147,26,141,136,82,153,83,98,47,113,147,4,65,1,71,18,150,20,67,78,10,67,123,40,117,115,12,53,37,55,138,78,95,62,17,73,74,132,54,25,74,70,39,23,31,124,102,76,119,140,143,23,99,92,32,7,147,106,140,35,55,10,56,26,146,22,32,30,73,153,139,72,143,77,56,70,9,18,24,52,108,113,5,106,26,66,18,96,152,33,22,18,54,28,150,123,134,36,58,52,83,115,74,86,84,24,103,3,37,112,65,65,103,33,136,26,135,5,153,149,114,21,87,145,101,72,150,57,74,110,28,92,15,98,149,95,13,65,142,113,22,21,51,89,61,122,70,106,92,54,108,106,23,16,142,52,12,94,99,73,106,67,35,6,26,2,62,102,35,24,79,17,86,139,143,56,1,115,17,151,49,22,74,152,84,24,119,37,9,58,102,114,6,31,63,56,26,130,71,99,76,90,32,91,85,117,80,26,119,45,128,106,136,19,97,3,98,146,48,80,63,139,133,48,36,48,86,13,140,5,62,56,3,119,143,21,108,39,142,0,41,40,150,49,44,10,96,0,47,45,136,133,19,145,144,93,88,55,122,103,122,83,20,69,15,148,138,150,96,19,36,37,84,14,79,29,56,104,14,80,110,9,104,58,35,65,144,152,32,63,78,31,98,110,70,70,132,118,6,128,119,108,74,137,27,10,91,20,16,145,77,53,147,10,5,116,145,14,83,14,1,42,39,124,45,13,76,89,92,99,19,60,18,145,152,19,100,27,63,106,54,21,23,45,116,149,140,133,12,14,92,9,51,5,31,52,20,119,130,93,104,67,116,143,16,27,122,24,15,73,136,22,15,72,10,55,33,123,138,64}

{49,109,96,27,120,127,94,38,70,151,43,35,31,118,110,86,53,24,126,122,74,150,24,131,102,108,38,9,46,74,149,65,84,135,108,25,9,31,5,117,55,108,119,17,86,40,112,31,141,145,91,76,134,115,141,103,70,86,78,80,99,21,59,20,46,36,7,98,104,65,144,140,111,37,21,47,13,61,56,101,144,69,12,84,83,118,104,73,118,130,0,72,37,141,63,134,125,152,24,23,54,104,113,120,127,132,107,82,116,78,98,112,12,81,31,74,130,30,127,16,30,37,4,123,38,88,39,130,28,13,23,33,129,81,36,25,105,66,77,17,76,32,78,40,27,99,9,103,150,36,56,118,128,71,43,41,2,138,80,14,98,149,83,58,81,58,132,109,55,100,50,30,42,7,67,73,15,15,52,149,128,6,20,47,145,116,41,0,108,135,96,7,126,52,33,144,79,89,147,101,48,60,32,103,36,99,57,35,72,90,90,116,92,92,138,144,111,62,106,44,100,134,147,80,151,100,105,34,28,83,27,151,93,140,109,141,55,51,87,46,25,147,8,85,97,45,42,76,102,11,44,109,125,11,145,25,64,60,129,28,78,126,50,58,106,81,15,5,85,112,28,85,36,104,9,11,102,16,74,64,98,43,45,86,148,131,146,88,144,68,29,25,153,60,56,125,29,42,72,147,4,58,37,31,140,41,113,8,7,29,73,14,69,73,71,149,127,26,64,95,93,133,98,68,96,7,51,150,121,71,84,1,74,105,23,136,103,151,114,66,148,83,140,62,31,111,107,104,148,130,110,139,105,150,139,89,86,113,98,129,49,54,66,140,15,64,107,126,149,137,33,78,83,114,27,114,109,141,131,126,84,97,42,131,123,93,102,46,51,74,99,101,71,6,129,30,5,116,78,66,132,105,39,67,115,88,9,85,129,54,77,140,140,15,107,78,100,12,66,111}

{12,1,100,1,1,1,1,1,14,1,1,2,2,1,1,4,2,1,1,1,1,1,1,1,1,1,1,2,1,5,3,1,1,3,1,1,2,3,1,4,1,1,1,4,1,1,2,2,1,1,2,2,1,1,1,3,1,4,3,1,12,1,1,4,1,1,1,2,3,3,1,3,1,1,1,1,1,1,1,1,1,7,1,21,4,1,1,1,1,6,2,1,9,1,11,1,2,7,1,1,1,3,4,40,1,1,1,5,1,1,2,2,2,4,4,1,2,1,1,1,1,1,3,1,1,1,1,10,1,1,1,1,1,1,1,1,1,2,2,1,2,1,19,4,2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,3,1,1,4,1,2,2,1,1,1,1,1,1,2,1,3,1,1,1,19,1,4,1,1,2,1,1,98,2,1,1,1,1,1,1,1,1,1,2,2,1,2,2,1,3,2,4,1,1,2,1,1,3,13,1,4,1,1,1,14,1,2,1,1,1,1,1,1,3,1,2,1,1,6,6,1,1,1,1,1,3,1,2,1,2,6,1,1,2,1,1,1,49,2,1,1,1,2,2,12,1,3,1,4,2,2,4,2,1,6,1,1,4,2,3,2,1,1,1,19,6,2,3,5,4,1,1,4,1,9,5,8,1,11,1,1,6,1,3,2,1,2,2,1,1,2,1,4,1,1,3,1,3,7,1,3,9,1,1,3,1,1,2,1,2,4,1,1,1,5,3,3,8,1,1,7,2,1,1,1,4,3,1,1,1,4,3,1,1,1,1,1,2,1,5,1,1,1,1,2,3,4,1,1,6,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,9,1,1,9,1,1,1,1,1,2,1,15,12,5,1,3,3,4,1,1,1,2,1,1,2,1,2,1,4,2,2,2,1,3,2,1,4,3}

{72,1960,100,260,6160,4628,8740,5073,196,4450,672,2812,552,4599,9120,1144,1160,2945,5368,6230,7980,275,558,354,2001,1917,3649,814,3774,760,162,87,3318,1197,1728,247,666,216,4005,1672,4002,1080,120,672,4940,1056,148,408,270,1196,754,1518,201,728,285,63,2450,572,798,5073,360,546,4556,1056,4488,494,2414,680,279,69,576,342,999,603,1092,2646,7315,2697,380,874,855,1078,2822,126,24,4818,2697,2254,1752,90,1980,1638,72,65,495,4757,174,98,558,4788,345,1860,988,80,2848,2552,4345,950,3381,627,374,962,748,504,456,9310,1110,3150,2759,8455,1350,468,990,6566,3560,1148,5229,300,679,7700,5544,6300,60,5432,950,1273,5963,532,1764,7980,92,715,285,1248,84,2232,222,186,225,1406,228,219,300,5700,672,1960,2772,2880,979,891,2414,1053,92,2254,1288,1274,725,3381,6555,2090,1164,650,1044,2414,1134,1813,4466,174,285,4212,2200,390,3476,1674,2139,4830,98,4410,351,315,2700,6958,3843,8455,5700,855,2754,2852,2088,2254,2940,714,4180,30,760,792,4623,2204,988,3100,8100,1932,52,286,704,684,1512,871,588,5963,396,5896,5510,623,3738,682,2136,9,7178,196,116,6319,360,72,4851,380,2760,2370,5244,1224,874,2900,4070,780,180,5720,3204,920,696,2080,6700,98,96,1056,414,1178,102,544,60,8633,1881,1342,48,2940,1862,840,1508,3465,180,3330,6499,1140,1178,744,1628,416,783,7387,285,90,1666,672,325,468,5025,3540,800,3690,54,650,288,304,33,782,684,72,2952,828,910,174,2310,196,396,1848,522,7350,832,1850,7100,792,1862,99,462,1617,1539,648,6764,3720,66,3293,6840,592,3162,2450,1900,213,711,175,825,1881,798,168,3230,8455,882,1568,87,6497,2130,700,600,108,1710,670,24,540,2054,4092,6675,690,3420,440,5162,300,990,4278,1196,1716,68,132,504,180,2324,198,3770,462,3634,3782,1053,360,3300,1938,252,1633,28,2343,1078,20,5841,5978,210,234,252,3835,4623,648,522,816,2686,3135,936,1702,4503,90,24,950,1980,552,570,504,2697,3738,5727,924,1157,164,2590,1860,348,245,288,792,522,754,4740,1311,1100,2278,448,54}

Returns: "Solution exists"
238

{14,7,149,70,218,11,107,2,115,177,65,107,60,131,123,137,157,34,169,23,157,233,102,59,222,42,130,31,48,39,235,57,173,177,61,186,23,212,59,75,111,76,196,183,28,139,12,117,10,108,127,182,167,105,28,206,151,137,56,81,62,85,166,128,72,142,125,44,155,187,13,109,125,171,142,62,19,68,151,0,167,176,41,166,74,87,174,109,99,191,166,163,206,99,209,227,66,92,43,237,135,123,44,230,109,23,13,126,176,174,189,50,137,147,197,208,184,207,29,205,217,40,117,196,0,36,178,6,231,189,114,59,47,150,142,176,151,121,205,158,191,123,194,94,172,207,40,176,128,145,83,84,140,45,81,138,114,62,15,181,54,168,133,33,172,122,22,38,223,48,29,53,46,172,55,233,20,28,7,142,125,6,140,22,170,116,106,147,226,133,173,162,172,114,73,14,203,170,63,191,101,217,42,69,148,72,1,217,20,187,105,52,43,106,53,95,182,215,51,30,56,102,117,191,223,151,43,47,106,71,217,173,148,124,192,188,78,79,234,224,147,41,218,136,188,152,187,94,10,177,124,96,73,161,61,155,56,204,101,67,41,107,75,112,62,31,75,193,91,174,32,5,111,14,30,104,104,221,232,180,82,201,185,151,234,79,23,56,184,168,33,41,137,57,64,109,208,73,126,140,81,222,74,61,202,168,139,25}

{184,186,177,53,4,116,146,224,219,98,24,170,91,10,132,189,30,141,43,193,134,89,195,104,168,25,102,47,28,77,184,101,117,115,91,163,52,193,213,140,100,50,43,232,126,136,109,172,183,159,88,106,125,68,63,155,43,200,100,124,140,219,79,126,83,157,236,231,3,96,152,70,103,181,111,11,16,172,187,160,174,113,21,34,159,221,171,131,95,223,71,37,40,209,111,92,208,169,186,59,150,55,195,203,194,215,124,202,143,206,10,149,132,198,200,156,117,211,59,164,35,101,173,33,213,84,107,19,166,207,151,24,237,81,221,61,99,104,106,190,75,137,143,35,79,16,49,235,82,60,20,114,165,38,206,229,76,155,9,217,235,52,215,204,209,211,221,78,144,232,30,117,33,137,153,216,231,163,3,60,96,232,145,39,121,204,168,228,199,219,46,156,14,83,114,25,46,55,149,10,141,76,5,160,212,183,42,184,125,80,47,21,81,36,98,109,44,15,27,231,77,29,159,218,179,232,95,52,171,51,7,55,93,94,3,145,52,46,16,187,62,123,215,146,80,11,47,146,121,113,173,165,40,94,175,189,169,90,206,176,87,47,63,207,135,3,48,12,53,15,2,108,54,211,17,187,176,179,209,83,102,68,13,144,60,176,201,138,182,225,144,9,215,6,234,103,108,108,199,64,218,113,43,31,165,71,202,183}

{1,1,1,1,2,1,18,9,1,3,1,1,1,10,1,1,1,1,1,5,3,1,2,1,2,3,4,1,2,1,1,2,1,5,1,1,1,1,1,1,1,1,1,1,2,1,10,3,1,1,1,4,1,1,2,5,1,1,5,1,5,2,1,1,8,3,8,2,13,1,1,1,2,3,7,5,1,1,1,2,1,3,2,1,1,2,3,10,1,1,1,1,1,1,1,1,2,3,1,1,1,1,2,1,14,1,1,2,1,3,1,2,1,1,1,26,1,1,1,5,1,1,1,1,4,1,1,1,1,1,1,5,1,1,12,19,89,2,1,1,1,1,2,1,1,1,1,1,1,4,1,1,1,1,5,1,1,5,2,1,1,1,4,1,1,1,12,1,1,1,1,1,2,1,1,1,1,1,1,4,1,1,20,1,1,1,2,1,7,4,1,4,3,2,14,6,1,1,4,1,2,1,1,2,1,1,5,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,9,1,2,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,1,1,4,1,1,4,1,2,2,3,1,1,1,1,2,1,1,1,1,1,2,1,11,9,1,2,7,5,1,1,1,2,1,1,2,1,1,6,1,2,1,1,1,1,1,1,5,1,1,2,1,2,1,2,1,10,2,14,1,1,40,6,1,2,1,1,2,1}

{900,2272,1020,799,560,4100,54,45,6460,435,1260,3510,352,450,4899,8245,5394,616,1809,95,279,4623,1480,770,450,630,680,340,70,2728,1925,1886,2952,255,418,2656,4085,20,140,1540,140,4002,3551,5141,34,2150,420,1656,2650,126,80,252,328,648,88,975,5963,2040,20,1160,380,3116,7300,1258,32,2604,32,120,390,7221,4108,3290,200,2139,84,1900,2813,552,7387,3552,4059,114,1914,511,36,504,3069,630,3649,6014,5913,1577,75,4183,329,42,3120,189,2144,1330,1296,3337,370,7410,490,4180,2291,1190,3534,2475,4850,1564,5865,1488,1464,156,1800,5427,35,1530,3599,46,2952,4346,96,445,1890,194,1752,7857,8722,140,190,3240,504,114,89,1034,2380,594,7469,6035,3038,2242,6900,2349,23,4389,2109,800,712,8722,620,928,600,2208,8526,1235,74,4209,385,2150,352,5002,3243,67,504,1696,4526,6790,58,1224,738,5865,4042,1608,2136,166,5538,672,696,194,100,2604,6110,2501,700,992,70,608,738,104,828,392,588,252,1710,3055,1496,4850,2024,5307,90,1998,324,1696,180,1525,712,7221,405,2494,2680,140,1479,2870,180,44,3724,696,440,40,72,7760,186,8633,2747,215,2604,6156,4331,1927,3807,1102,1092,1100,2279,900,667,3735,2945,4686,880,450,1914,1300,415,342,2350,30,1189,2697,84,3230,1026,6305,135,854,3450,3990,462,270,616,648,1520,2652,770,60,187,198,711,14,35,2412,2262,1826,1254,72,4559,248,2280,120,3792,6497,736,5700,285,480,900,650,5986,2442,3740,82,1219,350,546,84,1190,1060,80,18,268,1292,2170,4050,3010,2226}

Returns: "Solution exists"
327

{191,80,215,39,115,295,58,218,205,302,119,318,316,43,141,109,87,132,182,203,58,163,100,182,259,183,73,173,67,306,203,37,217,137,94,238,144,113,227,69,320,67,245,293,75,82,212,162,288,178,154,321,232,323,244,99,14,154,267,0,2,240,160,287,77,105,25,233,98,178,75,188,249,223,93,191,132,250,307,99,300,280,274,93,7,154,232}

{304,150,106,251,218,136,19,214,103,121,302,265,127,240,81,91,13,229,174,43,4,81,243,141,239,312,182,39,227,139,280,177,144,163,155,265,276,179,287,313,161,175,69,48,270,43,7,152,68,86,163,16,18,144,107,75,266,316,111,58,41,251,265,162,5,252,190,88,115,135,323,242,154,106,75,201,91,196,187,59,307,188,116,78,266,318,11}

{9,3,1,1,3,2,1,2,6,2,1,1,1,1,1,1,1,1,1,11,1,3,1,1,4,2,1,1,1,1,44,3,2,3,1,2,1,3,1,1,1,2,1,3,1,1,1,6,1,1,1,1,1,1,1,8,14,1,1,1,1,2,1,1,1,1,2,4,1,1,5,3,1,1,2,7,1,1,1,2,1,1,3,1,1,1,1}

{126,1518,728,470,90,1260,4785,4140,378,3102,1410,1794,5394,3410,3225,8,1218,3969,2349,220,4350,2025,1392,1247,720,1110,1189,1645,82,329,88,897,546,810,378,1978,1190,30,3485,249,1775,46,6723,690,6160,5060,539,720,231,2054,4779,122,4186,630,1674,720,210,5487,70,8700,378,310,3266,4080,5115,1225,800,920,174,5372,720,117,1652,728,560,504,392,620,2158,2088,7553,3432,54,1190,770,2301,5824}

Returns: "Solution exists"
442

{232,3,38,141,73,289,70,279,256,183,289,276,142,439,192,269,418,304,154,241,104,123,190,126,185,47,245,248,36,157,136,12,86,352,345,372,182,355,344,24,160,49,267,137,214,3,174,343,178,341,436,47,328,213,289,197,278,36,277,291,264,97,309,80,7,194,184,389,139,387,392,271,336,32,46,340,355,111,330,219,234,293,77,215,358,415,308,338,209,314,338,118,295,93,138,391,10,249,390,137,38,31,122,395,94,150,258,68,153,25,245,393,396,52,385,46,22,169,271,220,147,128,409,152,399,205,388,169,321,387,117,360,145,170,296,120,221,328,176,239,54,424,416,268,182,166,192,74,264,272,352,186,371,142,0,102,431,404,346,380,132,386,381,240,53,6,321,88,408,342,371,419,269,186,307,159,406,207,185,103,29,103,194,228,165,368,300,330,217,187,155,309,434,52,277,139,147,161,134,144,55,299,176,261,299,313,357,352,407,217,318,227,338,352,428,145,436,164,56,408,105,36,96,109,258,387,341,221,407,45,300,415,40,274,235,187,148,400,234,212,276,246,81,95,26,336,34,46,270,349,275,124,340,114,48,244,422,76,257,242,194,17,42,237,244,50,199,364,60,85,109,235,333,316,257,51,155,297,174,233,256,331,228,307,267,240,426,415,399,40,252,374,288,260,358,100,29,159,223,288,119,287,83,241,355,58,233,27,440,422,279,337,197,294,243,397,29,22,71,370,168,196,269,232,4,117,206,373,439,75,429,14,259,408,376,392,236,248,129,377,51,232,427,76,163,128,177,423,298,42,2,330,242,171,222,286,254,289,223,69,275,42,348,250,126,260,36,142,100,6,155,99,16,159,162,86,79,133,297,326,394,29,265,162,217,203,176,273,355,58,249,57,197,360,161,349,97,311,349,36,285,49,110,372,8,167,6,26,216,81,17,74,106,2,232,26,105,302,43,219,273,126,38,173,213,330,342,396,138,434,239,88,152,118,82,133,109,367,328,411,115,333,47,51,18,131,332,293,5,385,244,210,278,315,404,220,430,9,245,245,413,170,403,419,247,313,178,375,219,262}

{70,143,232,337,416,121,295,346,200,197,88,238,127,1,282,84,441,224,212,72,119,388,361,379,387,221,384,168,155,274,143,88,410,54,212,323,207,387,259,148,395,157,169,280,188,151,247,337,420,59,347,255,272,137,14,99,47,216,436,266,372,31,200,307,353,357,220,211,131,158,23,86,250,427,21,229,51,192,428,286,256,383,109,316,363,100,354,187,106,132,82,439,240,402,200,85,436,271,105,99,387,436,243,268,65,317,204,8,386,68,427,187,159,90,87,203,263,188,245,163,98,397,322,224,222,240,422,418,279,432,249,172,137,164,81,133,316,108,184,332,122,15,255,390,47,53,395,280,377,403,289,83,352,204,93,189,306,16,169,63,360,120,382,145,346,402,254,350,361,434,342,59,370,360,396,389,131,169,177,54,134,215,175,352,19,422,11,314,72,295,221,15,300,234,63,143,355,416,244,117,410,311,323,348,440,12,421,28,327,366,51,330,129,2,20,183,341,224,12,220,324,416,194,113,25,381,183,384,66,224,85,314,5,236,118,241,371,69,405,41,41,172,305,438,402,116,380,417,312,18,24,355,374,374,104,273,88,44,59,130,25,372,99,282,301,379,161,399,318,417,223,65,265,4,111,380,209,70,53,197,188,144,220,347,118,152,66,436,222,289,0,216,75,346,192,85,323,137,294,371,304,4,109,336,426,157,53,190,438,350,309,69,83,200,117,196,335,183,144,355,128,360,175,347,80,407,15,267,41,287,269,9,282,182,305,340,18,109,414,430,364,126,90,51,322,254,147,53,269,167,430,73,277,352,278,379,437,284,250,317,276,187,374,84,413,266,256,357,192,313,242,70,117,184,376,129,194,402,391,358,319,216,106,166,47,69,359,19,244,176,107,14,233,113,422,387,147,161,202,376,58,246,324,55,240,78,50,317,285,152,336,439,169,30,89,356,172,49,173,328,281,374,330,434,171,309,78,421,88,245,32,234,206,240,88,298,97,333,151,221,387,102,62,235,159,44,1,396,91,37,128,412,132,125,32,238,163,159,363,189,424,427,421,190,275,322,297,232,441,3}

{1,2,6,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,1,2,1,1,1,1,2,4,2,4,31,1,1,1,7,1,1,1,1,1,1,1,22,24,10,1,2,4,1,1,3,11,2,1,1,3,1,1,5,1,1,3,3,3,6,1,1,4,1,2,1,1,1,1,1,2,1,1,3,4,2,1,2,4,1,14,1,5,1,1,2,1,7,1,1,2,5,1,6,1,1,1,9,1,1,4,1,2,3,1,2,1,5,1,1,2,1,1,2,1,50,1,1,2,1,1,1,1,1,5,1,6,15,3,14,1,1,1,1,1,1,1,10,1,1,1,1,1,1,1,4,1,1,7,3,1,2,1,3,1,2,1,1,1,1,1,3,2,1,1,3,1,4,1,1,1,1,1,4,1,2,1,1,1,22,1,1,1,8,1,1,1,19,1,4,1,1,1,2,2,1,14,3,37,2,3,1,46,7,2,1,1,1,5,10,1,5,2,2,1,2,1,31,4,1,1,1,2,1,61,1,1,1,1,2,1,1,2,1,12,1,1,1,1,1,3,1,1,1,1,2,1,1,1,1,3,1,3,1,6,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,100,1,1,1,4,2,1,3,1,1,1,1,2,1,2,1,12,3,1,1,1,1,1,1,1,1,1,2,1,6,1,1,1,6,1,2,1,3,4,2,1,2,2,1,2,2,1,3,3,2,1,1,2,1,2,1,1,2,1,1,1,1,18,1,8,1,1,4,2,2,1,1,2,2,1,1,1,1,2,1,3,2,1,1,4,2,29,1,19,5,4,1,1,1,2,1,4,1,6,3,1,7,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,2,2,1,1,2,1,1,1,1,1,1,1,2,5,1,3,24,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3,1,1,1,1,8,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,9,3,1,1,2,1,1,1,1,1,1,3,1,1,2,20,2,1,2}

{4272,140,336,1066,3182,1462,7120,1488,9900,1820,7998,12,4620,2030,2360,4606,3416,1925,1702,1128,4984,5002,884,8740,782,4071,3186,720,200,2790,96,186,924,2988,2277,140,1122,1334,799,2491,5922,8010,4067,264,144,630,105,246,2400,1914,744,2139,22,2640,6450,546,1518,216,248,70,2345,4307,2277,24,1767,1248,1938,819,448,207,672,1650,390,855,4004,1088,232,472,3040,171,1900,2256,651,168,156,584,392,5256,1100,345,949,1120,2480,693,2475,4392,88,950,1160,66,966,584,1748,630,1802,155,1368,5037,60,828,1121,72,5293,1520,6930,4389,78,2352,2950,510,602,100,1140,2350,3280,2480,4026,2989,1040,322,380,748,990,90,1122,392,3304,1001,798,8148,684,3010,6882,360,2346,4012,3717,7480,3283,330,7138,120,7055,5544,154,1053,129,264,4557,1035,3036,1470,1426,2790,6324,2961,6240,2976,962,22,85,330,1598,440,1896,871,2212,1617,2278,180,4731,60,6474,4067,7566,264,1525,160,168,720,5900,2967,1342,380,1395,64,406,1850,3021,620,1148,6438,28,1566,74,2418,2976,166,46,7,72,608,1314,2241,190,180,232,225,2232,1258,1160,296,3666,62,684,1426,580,3186,1150,275,61,365,2162,186,672,3384,3995,2860,2052,276,12,1394,2703,2537,4788,2262,1932,924,3905,2350,3392,580,493,29,1736,5141,2046,116,1914,946,468,560,210,1640,2279,5796,575,3608,144,732,2573,714,2508,1848,696,552,100,1780,340,5187,1200,1674,1666,744,2656,2914,550,584,3280,1978,168,783,96,2325,3068,488,2324,4422,1992,8160,6853,1749,372,1222,638,720,3876,5644,2183,1056,1104,2132,1092,792,460,2100,1411,60,2728,986,450,924,7802,1488,33,460,3483,4814,420,636,1692,3525,1880,1258,4134,1632,141,2480,54,931,88,4560,1520,8,1140,2400,469,4012,752,1330,513,1376,682,1411,2640,828,3168,2494,1245,1612,192,2520,87,1470,285,75,200,7392,472,3666,1100,534,120,3819,390,198,6630,504,360,1820,2268,2241,3135,1770,483,2964,1190,7566,3074,336,7505,3225,5187,1364,1650,1150,413,2175,800,312,1680,7298,120,2870,2263,2850,2961,2356,945,4794,208,1190,2695,702,144,228,493,3293,4130,627,3589,2755,672,1298,1360,2208,75,7347,2325,1298,1260,7068,7614,992,1209,112,1829,2156,990,1947,2300,3564,3795,168,3149,812,2813,7426,1598,280,2650,180,1518,710,990,34,570,3149,708,2301,3990,570,465,1020,1344,2964,100,2256,3192,2380}

Returns: "Solution exists"
72

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

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

{1,1,1,47,2,1,2,1,1,1,3,2,2,1,1,1,1,1,1,1,2,3,1,1,1,1,3,1,1,1,4,1,3,1,1,1,1,6,1,24,2,1,1,1,2,1,2,56,1,3,1,1,60,4,1,3,1,2,1,1,2,1,1,8,2,12,1,3,1,1,2,2,1,1,2,24,1,3,1,2,1,1,2,2,12,2,13,1,1,1,1,3,2,1,1,1,1,1,1,4,1,3,18,1,2,36,3,1,1,3,1,1,1,6,1,1,58,1,1,1,1,1,2,3,1,1,2,2,1,1,2,32,3,26,2,2,2,13,1,1,8,1,3,1,1,3,2,2,12,1,1,1,1,1,1,8,6,1,2,2,1,5,1,26,2,1,2,1,1,1,2,1,2,3,1,1,2,2,2,1,1,1,1,1,1,6,1,8,1,4,1,1,1,12,1,1,1,1,1,1,2,1,1,48,3,10,1,8,1,1,1,8,6,2,2,8,1,3,1,1,1,4,6,1,2,1,1,1,1,1,1,1,2,2,12,1}

{183,793,4234,47,2150,1023,1240,475,3660,1400,234,344,1184,3942,1850,3431,3416,2920,767,4512,1800,336,5487,549,1380,2350,1800,2296,168,3540,88,4984,21,1056,5208,3068,5394,936,230,144,650,3036,174,2928,376,3304,2886,56,858,231,5402,1406,60,1056,3034,207,8118,2132,840,1003,2214,1525,468,576,2418,120,4392,360,6039,3204,232,30,3776,1891,1674,72,522,231,504,2236,168,3172,1312,2460,240,1740,78,546,4042,4183,4416,1224,1880,2397,2726,3478,1880,1722,576,440,1258,600,216,372,280,72,1173,2684,168,2400,354,3008,6408,936,2296,1888,58,1824,6278,840,612,2867,2976,30,1798,4371,1850,928,3658,3774,2378,192,975,78,2072,3666,468,156,186,2450,168,423,273,6716,1209,660,4128,2072,360,1880,299,4950,885,3304,1968,96,540,1525,520,1044,3577,30,152,78,992,1476,2542,549,1387,156,1974,3384,1624,693,744,2325,1640,2050,156,3525,1196,4575,3538,2726,736,168,1394,56,1533,72,72,1037,7326,480,2460,102,576,1888,5429,1692,2886,5934,1692,96,1350,40,2632,224,5002,423,5074,160,540,2538,460,480,600,1632,930,8118,4307,120,60,1464,2296,4366,984,1525,219,1736,2646,244,928,2580,240,1560}

Returns: "Solution exists"
225

{191,217,116,171,67,50,224,45,167,60,224,17,30,33,131,95,96,105,114,132,173,87,205,49,57,41,47,45,51,159,171,115,131,168,139,67,33,184,114,8,98,15,223,27,219,216,11,16,80,14,162,198,101,208,64,126,50,143,218,157,82,75,93,154,130,49,163,15,168,91,95,96,15,118,58,117,121,158,200,9,70,212,178,68,136,176,156,143,42,124,174,124,30,134,164,21,212,33,87,177,85,193,47,126,49,161,206,191,131,19,116,143,18,147,154,18,127,138,6,70,7,212,35,106,182,159,178,184,29,25,78,167,178,50,202,21,205,157,123,130,35,143,177,181,57,184,41,181,47,33,99,25,64,84,106,76,107,136,135,192,114,200,116,67,144,3,216,131,162,39,204,146,87,119,86,132,137,79,221,220,196,88,20,40,209,51,198,31,149,114,55,1,202,96,205,80,5,146,94,70}

{128,50,202,67,108,14,88,185,158,150,166,25,23,152,119,0,112,10,151,219,69,64,54,21,221,177,3,123,1,81,81,18,177,202,4,57,21,216,148,221,162,0,160,50,47,47,33,39,75,33,206,189,4,115,168,45,174,48,207,55,155,104,209,65,158,69,107,136,126,160,106,219,153,90,90,138,97,14,48,197,67,100,65,71,173,133,202,76,41,53,109,173,63,129,41,206,128,32,137,38,1,220,173,130,216,7,37,172,2,144,51,205,35,11,121,140,188,215,69,94,142,16,45,83,159,198,90,202,207,122,127,129,27,154,27,108,86,16,184,74,147,59,53,79,169,137,130,38,210,131,153,182,78,4,64,187,19,166,151,224,85,211,213,142,149,194,23,102,133,216,17,194,116,76,25,81,108,49,179,100,138,143,143,179,27,129,53,151,157,76,0,114,87,188,62,56,153,99,2,45}

{1,2,3,3,1,4,2,1,4,2,1,1,1,1,4,1,1,1,1,11,1,1,8,1,2,1,9,1,2,1,2,8,2,1,1,9,1,16,9,1,1,1,1,4,1,1,1,5,1,1,3,3,1,1,1,1,1,3,1,1,5,1,11,1,1,1,1,54,2,1,1,1,6,1,1,1,2,4,1,3,1,1,1,6,2,3,1,1,1,1,3,1,1,1,1,1,7,5,2,2,22,1,5,9,1,3,1,2,3,6,6,1,2,3,1,8,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,20,1,1,1,1,1,1,1,2,16,9,1,9,1,6,1,1,1,1,1,1,1,2,14,3,1,1,1,2,9,4,12,3,1,1,5,2,1,1,11,1,1,1,2,1,3,1,1,4,1,5,1,1,1,1,1,1,1,2,1,2,1,3,1}

{2940,340,630,1386,5247,544,630,5810,28,814,350,623,92,410,264,874,4171,8010,414,220,1780,6586,160,1843,720,3906,360,1743,792,3608,1848,8,372,2016,1722,198,485,160,63,5040,876,1242,1066,816,1980,1440,285,1360,3239,160,204,495,1365,360,2848,1494,5100,186,340,4720,285,7821,396,540,1260,1691,1288,54,288,3280,1330,4268,702,7275,5723,1683,168,224,210,765,6039,2926,1620,156,540,2070,5985,465,4599,195,300,60,38,1786,1638,4947,539,10,2368,434,66,276,180,90,608,1134,2703,60,132,1836,360,3720,40,513,216,88,736,476,8099,4941,8100,6160,830,2660,2706,615,7857,5040,782,672,160,188,1296,864,1008,5141,120,4720,1680,3690,270,2697,4030,438,576,320,315,1022,495,60,156,462,445,714,3115,195,2208,1350,2254,14,198,1820,1770,9900,2160,360,736,96,276,2720,7120,765,1110,440,420,440,3392,114,1360,76,646,2790,9114,1071,528,3384,195,3910,4720,45,1840,198,4662,4462,120,287,546,1020,891,5063}

Returns: "Solution does not exist"
486

{294,463,142,222,112,203,6,265,13,37,337,96,101,79,121,297,143,308,199,342,407,199,127,71,414,176,144,70,408,212,466,32,392,379,480,83,266,476,185,204,187,170,159,441,430,96,2,395,229,29,184,401,402,276,145,466,176,56,409,67,384,281,350,274,422,125,443,280,328,150,295,12,307,279,417,430,329,63,406,418,124,335,426,429,370,215,9,417,422,289,177,142,170,384,435,30,482,175,392,221,290,11,30,385,337,4,360,27,345,425,198,306,341,39,169,120,310,248,391,66,276,370,87,468,242,55,207,276,48,168,59,18,288,13,344,216,304,439,482,380,475,435,119,477,285,300,404,206,210,464,230,252,258,12,150,461,42,217,338,461,398,297,219,332,110,103,240,274,377,47,314,71,293,462,5,312,473,415,374,28,70,328,403,424,185,378,238,295,122,270,183,307,32,480,471,21,94,234,111,349,97,127,142,43,283,249,186,434,308,369,23,391,439,2,54,301,89,413,157,359,332,298,413,237,24,425,337,233,236,426,6,239,192,393,396,260,20,163,425,17,306,75,127,429,476,336,135,171,275,175,472,340,48,188,102,46,52,463,109,313,463,354,317,295,130,201,185,414,267,433,78,171,358,357,350,388,318,35,203,240,288,201,15,140,373,97,129,82,219,374,75,230,3,37,328,34,153,164,424,58,112,453,161,351,213,364,11}

{225,254,188,75,354,280,4,75,224,294,254,343,139,335,396,55,158,388,351,383,32,187,381,69,68,372,331,276,76,302,146,280,183,299,12,243,122,233,378,39,31,235,158,425,251,261,299,125,374,323,245,340,430,243,251,303,290,101,71,257,432,414,368,291,96,220,299,29,126,236,301,258,164,453,384,471,163,110,265,126,225,433,444,380,100,421,55,401,483,230,425,285,354,141,234,226,17,60,175,84,179,229,263,233,325,225,340,87,308,444,432,46,387,131,284,110,243,385,136,355,279,453,320,174,205,252,92,6,66,412,24,225,363,218,258,166,356,147,266,272,5,92,104,17,422,90,79,250,386,352,9,297,420,192,130,368,206,479,357,456,224,420,432,336,139,144,424,252,34,58,337,219,246,381,319,440,36,1,139,408,477,117,227,352,408,40,35,402,101,415,404,38,404,192,326,236,428,12,138,206,378,66,306,366,145,345,456,61,324,463,219,333,45,456,303,165,220,184,410,26,319,408,161,476,100,330,290,88,409,248,22,16,398,423,141,393,61,60,93,49,430,268,10,118,288,399,98,420,254,244,182,28,323,126,183,27,404,457,430,401,241,373,353,296,10,267,83,47,433,93,481,47,478,16,164,203,44,237,96,483,357,334,5,365,335,198,190,208,119,408,227,90,427,46,87,416,301,406,25,465,161,32,299,45,99,370,93}

{2,1,1,1,26,1,1,1,3,2,4,1,1,1,1,2,1,1,1,2,1,1,2,1,2,1,1,1,1,3,2,1,1,2,1,1,4,5,1,1,1,1,2,1,2,1,2,29,3,1,1,1,1,1,2,74,1,1,1,1,1,1,2,7,1,1,1,1,2,1,1,2,2,4,1,18,1,1,1,2,8,1,2,3,1,3,2,1,1,1,1,5,1,1,1,1,1,1,1,1,1,12,1,1,8,4,1,1,1,1,1,2,1,1,2,5,1,1,2,1,1,1,1,1,3,2,1,1,1,4,1,4,1,1,2,1,9,15,1,1,9,5,1,7,6,3,1,3,1,1,1,4,1,2,1,1,1,1,86,1,1,1,1,1,1,3,1,1,1,1,16,1,1,6,1,2,1,5,1,1,77,2,1,4,1,1,1,1,1,15,1,5,1,3,1,2,2,1,1,6,1,1,1,1,1,1,1,1,1,1,1,3,5,1,1,1,1,1,1,1,1,1,15,1,1,1,1,10,6,2,1,3,2,1,1,2,1,3,1,1,6,1,2,4,1,1,2,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,9,2,1,1,1,1,2,1,1,1,2,2,19,2,1,1,1,43,1,1,4,1,1,2,1,1,1,1,3,1,2,31,1,10,1,1,2,3,1,1,5,3,1,12}

{280,76,5185,1708,78,1824,3212,610,66,252,16,376,5782,4692,1932,48,166,3154,335,672,2924,5494,2496,1309,56,6390,1032,1925,2881,1683,3108,4128,1188,3440,680,102,1300,150,475,1365,2050,217,70,4257,1674,3854,2150,87,1020,799,962,1022,4482,150,1798,74,4615,4307,462,680,1180,1624,1890,770,3948,8265,6622,1632,1798,78,4050,392,1824,704,295,108,777,60,470,812,120,3162,2146,2592,1364,231,88,365,1932,108,4085,1530,806,4189,2320,7452,6972,5568,1728,1568,5265,60,5060,4150,48,440,1162,310,5727,3182,620,1806,5040,65,580,65,534,5976,1950,657,1600,1364,1302,1738,2106,68,5335,1825,828,840,1118,680,1290,462,4214,1066,891,60,8300,4941,9,880,1113,924,1260,48,1748,180,2730,440,2376,816,5978,120,494,2970,1548,6231,86,3685,2442,2928,1140,4209,490,792,5060,5236,2436,270,48,4389,1078,78,207,1100,3476,195,4998,6633,77,2418,6557,2024,1675,1596,552,6723,3068,45,836,672,817,510,2340,78,76,232,1344,396,551,576,3570,3180,4814,4209,4757,4717,5395,760,1824,78,165,3350,3774,850,4465,780,555,522,1403,3484,60,465,572,1376,1040,150,6,2088,6935,12,1110,2806,5964,2254,3551,609,3096,1932,378,2806,3136,2400,645,6279,276,4087,348,448,102,1386,4324,3538,3212,430,741,1482,1080,511,1786,1742,2350,162,1862,533,425,1512,806,2232,2565,1809,880,516,1330,38,364,2139,893,1265,86,2419,630,1288,3417,899,574,1551,3021,3417,5063,27,4050,1548,62,7743,400,1786,3036,160,390,1892,1290,55,24,1023,72}

Returns: "Solution does not exist"
57

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

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

{1,4,1,1,2,1,1,10,12,1,2,1,1,1,5,1,1,1,1,1,1,1,1,48,3,1,1,3,4,1,3,1,4,5,10,2,1,2,2,14,1,1,1,2,4,2,1,2,1,6,1,3,1,3,1,1,1,1,4,1,1,1,2,2,4,2,1,1,3,2,2,4,1,1,5,1,5,1,2,1,1,1,5,1,1,1,1,1,1,1,3,1,1,2,6,1,1,2,1,1,1,1,1,5,10,4,2,20,10,3,1,2,1,4,1,2,2,2,1,3,1,1,2,1,3,1,1,1,2,1,2,1,5,1,4,1,6,2,3,1,1,5,2,1,1,1,1,3,1,1,4,1,2,1,8,1,1,1,1,1,4,1,10,3,1,1,17,1,1,1,1,1,1,4,1,1,2,2,1,2,3,1,1,3,1,1,2,1,5,1,1,1,2,1,2,12,1,2,4,5,5,1,2,11,1,3,1,1,1,2,6,3,1,4,2,2,1,3,1,1,1,2,1,1,6,2,6,2,1,1,8,2,1,3,1,2,2,1,18,2,2,1,2,1,2,85,2,1,3,2,2,1,16,3,1,1,1,1,2,2,1,4,2,1,5,1,2,6,5,1,1,1,1,8,1,1,1,1,4,1,2,2,17,1,2,1,1,1,1,10,1,2,2,1}

{319,36,1450,5822,600,966,130,80,144,510,120,290,187,1122,1360,3408,1066,3201,1088,2040,3960,1598,1105,48,1860,765,4074,180,816,450,72,710,24,1020,80,490,308,414,2352,84,312,2706,8245,1470,816,490,970,490,1066,144,408,360,902,1860,330,6110,6305,5040,120,414,624,1218,100,1200,960,72,1144,5820,561,340,720,252,130,1491,1020,130,765,120,90,1430,1040,5822,90,65,7954,71,585,1785,1870,130,693,204,6958,960,144,143,1885,490,2328,7100,1649,170,9506,585,80,1200,1128,300,80,630,4080,2320,2145,64,290,4900,2044,720,130,1008,924,4745,410,104,1581,1040,98,2910,522,7954,984,2134,170,230,900,4118,90,210,567,130,64,130,2320,949,312,24,377,63,1144,1034,612,2898,1764,2550,24,1392,1067,6480,60,1450,80,312,50,1071,923,319,255,1428,710,650,6862,234,4410,336,4234,846,4018,1968,8100,1128,714,1752,832,168,1067,5986,410,7857,60,2726,210,143,120,4794,308,240,4380,720,900,130,1020,1530,240,66,2346,1302,1261,8330,7081,328,72,648,4230,56,3332,3920,696,357,5508,1972,546,90,4947,5184,144,4700,144,2940,330,5,240,3280,312,816,312,3280,3280,3726,36,2450,100,6035,264,522,328,85,2624,1260,144,700,230,5680,192,765,1144,5355,7857,2958,3196,1968,4074,1200,3280,1078,90,528,902,126,585,584,638,5040,4074,264,1479,2070,5508,110,68,7954,376,490,85,930,720,754,1722,4794,1533,10,882,576,40,1334}

Returns: "Solution does not exist"
172

{131,137,86,10,30,126,153,83,46,22,8,20,17,171,49,138,48,16,120,150,5,120}

{62,133,114,124,121,110,77,128,39,50,67,38,150,83,68,118,34,135,166,23,18,156}

{4,1,1,3,11,1,5,1,2,2,3,1,1,9,2,1,1,1,3,2,1,13}

{60,372,3195,558,264,2418,350,1155,564,782,2790,2279,2002,33,276,7553,891,1612,546,52,315,156}

Returns: "Solution does not exist"
295

{263,152,222,185,31,143,208,207,141,154,201,104,154,276,216,137,174,165,40,51,8,78,67,191,256,158,87,240,266,289,190,73,62,247,188,226,207,255,158,15,169,205,222,116,132,256,100,63,274,37,132,199,34,287,37,149,0,267,119,47,270,53,206}

{30,147,124,131,77,188,120,49,179,32,63,290,67,261,206,265,114,245,249,4,147,90,122,48,119,224,196,101,214,9,225,201,71,91,197,163,291,177,226,225,25,113,202,16,216,226,248,273,19,266,259,57,205,180,18,170,264,35,27,174,175,15,219}

{1,2,1,1,4,1,3,1,1,1,2,1,8,1,1,1,1,2,3,1,2,4,1,1,1,1,11,3,2,1,1,50,2,6,1,1,1,1,3,1,1,14,1,1,1,1,1,2,1,1,1,2,2,2,1,1,1,4,2,1,1,2,1}

{858,2378,1914,1140,1824,408,1914,2145,294,4680,1550,4416,360,224,84,1260,1334,792,1035,630,1394,24,3320,1102,1650,1891,66,1104,1650,66,4484,50,152,462,969,1170,4345,2418,1586,826,5478,28,1518,2378,1344,1950,3960,868,7008,1150,1088,3920,168,336,299,276,6478,1288,902,1127,1914,210,1140}

Returns: "Solution does not exist"
174

{88,118,34,87,169,66,89,33,144,32,161,62,153,153,61,49,88,56,124,51,38,90,119,91,4,84,53,30,87,20,20,161,104,125,46,120,65,54,4,125,106,167,147,10,62,28,158,5,133,52,30,56,54,27,24,116,23,13,112,108,0,9,38,69,20,17,85,173,80,33,120,60,79,10,138,162,155,79,68,119,27,138,56,164,28,133,163,33,54,135,135,129,55,110,109,142,65,61,49,133,35,5,55,32,165,51,170,139,106,165,56,80,9,49,38,12,29,167,98,50,56,146,11,97,61,89,160,93,153,102,138,70,126,55,29,29,149,108,140,68,155,20,151,102,59,134,40,53,59,85,84,168,101,28,112,71,147,63,51,134,1,14,1,131,170,156,102,114,24,23,41,118,55,64,155,121,72,18,135,62,118,58,143,156,137,155,10,4,104,93,2,16,159,173,144,84,52,137,98,84,2,72,104,122,27,88,118,81,127,147,151,164,42,156,146,104,15,157,4,68,107,35,52,124,45,58,151,168,11,150,123,36,89,33,89,152,79,136,100,89,127,132,33,92,86,143,155,121,106,120,159,62,3,63,45,167,153,168,35,68,79,31,81,155,152,126,18,137,21,110,128,103,172,137,105,127,120,42,34,60,113,41,109,41,22,153,21,63,139,161,137,140,86,107,141,15,78,12,63,148,155,111,143,113,160,10,21,57,108,138,76,91,58,4,94,95,18,127,166,163,144,72,3,14,95,88,150,81,84,73,114,112,157,53,22,80,146,101,109,151,161,144,6,49,125,41,106,159,137,61,35,170,136,93,47,19,36,90,134,112,58,44,104,24,58,36,48,2,44,57,13,156,49,127,150,53,24,70,159,126,124,65,31,73,39,129,97,42,111,107}

{102,154,33,66,83,10,27,18,106,133,38,90,99,168,48,31,11,141,136,2,8,45,84,70,54,173,159,145,0,26,153,71,109,168,67,45,110,163,30,23,88,75,96,160,60,8,35,158,80,133,70,113,158,145,115,159,101,164,99,33,124,45,4,85,21,135,167,25,67,85,105,173,159,68,171,65,88,82,103,46,80,85,169,136,110,0,17,60,41,35,81,164,118,74,31,136,76,64,8,94,51,118,34,80,58,49,43,6,98,116,159,149,58,125,119,66,11,56,85,87,6,173,14,72,160,147,51,35,110,46,95,62,90,134,43,98,85,50,142,133,53,38,90,78,4,9,159,58,55,130,20,35,72,14,164,119,81,31,164,150,101,150,3,85,162,115,86,46,151,40,79,149,86,11,106,171,139,130,119,12,57,56,15,140,17,123,62,99,50,25,30,6,2,163,61,65,58,129,94,158,21,66,96,78,96,149,112,170,168,41,23,69,36,141,83,13,23,54,56,153,136,96,161,84,162,122,14,98,2,173,28,29,20,86,90,164,163,138,169,49,162,37,40,53,166,54,31,133,88,78,60,79,141,6,169,142,85,161,42,137,123,167,64,32,94,155,165,49,51,50,140,102,162,85,17,99,13,72,43,17,166,137,17,170,17,15,46,85,3,88,127,158,60,172,108,47,47,173,39,35,15,94,140,18,120,70,121,85,162,99,46,25,81,99,70,49,95,172,152,17,173,149,96,116,44,101,44,1,78,171,169,165,110,31,90,140,76,85,92,4,121,166,141,81,25,105,64,152,158,133,18,18,41,165,41,121,75,10,77,104,64,104,117,62,79,47,118,1,45,130,115,5,99,151,142,42,68,93,131,164,83,120,75,81,9,51,7,74,11,61}

{1,14,1,2,2,2,1,1,1,1,2,1,2,2,5,3,10,1,1,1,2,2,1,1,3,1,1,24,2,1,1,1,2,1,1,1,2,5,3,1,9,1,3,2,1,2,22,22,5,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,2,10,2,1,1,1,1,1,69,2,6,1,1,9,1,1,1,7,12,2,1,2,1,3,2,1,4,63,1,1,1,1,1,1,1,1,1,3,3,1,6,1,1,1,2,1,1,2,1,1,12,1,2,2,1,1,1,2,3,1,1,1,2,2,5,5,1,2,1,3,3,1,7,3,1,1,2,1,2,3,1,1,3,1,3,1,2,1,1,2,1,1,1,2,4,1,1,7,4,1,2,1,1,1,1,1,1,1,5,1,1,1,1,2,1,1,1,1,1,1,2,1,1,2,2,19,1,1,5,1,1,1,37,1,3,4,1,1,1,2,11,1,9,1,1,1,1,1,1,2,1,2,2,5,1,1,1,1,1,2,23,1,1,1,3,1,1,1,1,1,9,2,2,9,1,1,1,1,1,2,2,1,2,2,1,1,14,1,1,2,2,1,1,1,2,2,1,7,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,1,1,2,1,3,1,1,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,1,3,3,1,2,1,1,1,1,2,1,1,2,1,5,4,3,1,9,7,1,5,2,1,2,1,2,2,2,1,1,1,3,1,1,5,2,2,3,1,3,29,1,2,3,1,21,4,8,1,1,1,7,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,12,1,5}

{2790,84,5607,1836,3354,108,2604,6942,4212,2490,374,814,410,1640,385,42,720,4288,5451,8455,660,370,1720,3157,855,1160,1015,144,204,3752,5494,646,2024,3240,752,190,3384,855,1368,3564,810,1400,336,92,649,2820,66,264,390,2190,2952,1675,990,1488,1932,1856,2068,759,510,5162,474,930,1254,5390,3819,12,3080,2117,3055,4895,1045,1711,58,380,980,658,180,84,380,688,2015,2695,5226,69,3384,30,1140,5251,135,66,111,4623,252,360,966,2622,2538,4620,60,60,1958,616,63,5395,1659,267,1850,1054,7614,5056,1943,2015,651,81,946,108,5680,3752,5170,2108,2278,1508,560,5368,2530,336,4094,374,2952,496,2793,451,814,1197,1775,6674,1705,1798,1330,570,140,1474,740,465,1311,1767,1160,105,1449,2915,2680,440,2867,658,1173,817,1776,42,6141,1482,2444,1725,884,2970,518,2100,1519,720,460,440,54,868,441,1680,1620,580,1891,4134,129,132,364,1407,4392,350,1164,1380,44,570,2728,2482,6840,1938,2755,2755,2860,1880,1533,6499,188,1320,285,3294,1848,60,651,2790,1428,74,1880,432,220,6762,7392,1600,2236,88,2684,135,3819,7790,546,462,2482,3160,70,420,140,1880,1520,2262,6486,5467,5628,4361,3108,138,190,3381,4134,84,658,438,3560,2380,4018,360,420,870,810,285,1711,22,1088,102,390,1064,4510,680,1056,9215,138,168,3108,1660,92,220,6162,291,5073,2232,2030,124,42,5335,660,470,209,5856,1575,708,2050,2619,276,1998,588,5002,912,165,527,1530,4559,2310,2891,525,1856,3111,255,348,264,374,1220,388,2520,1950,874,164,3306,715,406,490,432,5621,777,570,164,57,1482,987,1886,1140,1508,1891,357,448,5244,4230,3588,1924,120,340,1170,4029,216,210,3626,910,1404,2585,1564,1140,986,2132,1088,111,5913,1485,2268,1334,6402,330,858,2886,621,2686,459,58,1925,148,1596,4488,84,2024,880,506,42,3927,140,4940,460,689,924,2200,30,940,1482,3360,4370,1394,1566,1518,6794,1786,1050,2516,8184,5963,3080,480,7760,275}

Returns: "Solution does not exist"
289

{55,28,265,45,20,80,173,177,153,22,73,183,255,191,23,240,266,100,121,172,204,127,165,232,150,286,121,276,39,1,244,218,61,269,62,187,133,127,108,239,8,144,81,228,212,57,39,102,7,17,219,160,142,184,66,8,150,34,231,280,130,61,190,220,161,51,159,283,161,46,171,219,51,244,90,38,223,178,37,222,242,204,142,180,179,92,29,78,98,56,70,129,109,114,251,229,247,129,224,215,201,267,3,46,184,73,224,120,248,207,58,172,77,175,166,24,29,210,90,101,221,212,202,74,184,109,122,10,234,120,193,209,284,278,221,72,139,222,270,260,236,171,282,86,76,259,215,130,2,125,98,239,176,214,2,0,161,60,82,264,29,274,92,224,131,235,269,185,60,280,267,91,75,219,255,245,8,14,156,31,273,282,277,220,220,24,107,288,74,207,47,28,134,101,20,174,91,217,121,169,1,40,40,162,14,158,234,213,220,66,73,247,239,23,264,10,232,41,103,191,167,199,61,139,18,245,22,245,114,272,1,247,280,181,76,65,102,188,246,166,268,275,183,182,169,196,97,93,53,30,187,119,153,246,49,246,157,60,278,266,148,2,83,266,43,201,162,259,79,88,203,20,259,209,58,146,227,5,49,125,218,121,66,233,228,48,92,190,1,38,59,179,57,225,116,203,38,262,107,26,17,168,218,251,259,238,45,5,160,145,147,252,240,223,7,247,195,157,254,182,116,278,194,20,1,98,84,54,219,98,227,230,95,135,198,84,287,181,246,242,178,21,243,121,287,118,143,217,164,143,58,218,96,29,254,258,258,288,176,262,58,234,76,258,181,244,47,266,193,237,223,41,41,210,64,19,179,20,59,141,77,86,175,273,203,226,281,81,235,282,215,96,30,123,33,194,24,213,181,45,236,138,68,189,275,120,19,226,252,176,200,107,279,108,223,264,63,29}

{198,63,201,233,244,141,191,224,85,97,4,172,133,2,111,256,72,264,186,169,274,224,136,11,31,241,236,240,188,123,59,51,39,254,275,265,91,234,156,253,140,252,213,248,267,42,266,3,170,92,189,112,9,201,112,138,97,35,96,42,117,90,286,85,220,152,57,106,38,67,27,102,189,216,121,145,145,6,1,58,237,64,47,120,246,213,242,65,156,136,17,154,83,212,248,165,265,169,136,231,137,127,135,191,81,91,56,89,120,22,275,272,75,97,95,115,72,149,205,25,151,203,260,40,99,108,168,178,3,215,59,274,180,260,9,223,166,216,82,274,35,165,156,175,154,178,91,232,180,133,161,177,24,97,167,217,107,132,259,265,1,200,263,225,26,288,169,262,261,38,228,44,19,243,9,164,28,105,159,18,201,182,14,204,233,100,269,73,257,243,79,50,190,49,117,46,15,30,19,32,164,212,258,145,125,70,172,215,214,139,141,58,142,74,205,51,71,91,136,271,258,262,230,249,207,209,117,56,64,255,256,92,241,111,247,271,69,168,40,66,234,195,223,35,105,85,64,285,249,214,201,268,108,40,258,279,138,223,82,3,59,22,249,173,74,22,145,197,213,139,120,228,187,98,73,244,278,89,150,156,117,278,181,228,269,187,196,240,71,239,244,58,2,103,191,247,91,251,14,10,31,48,145,280,261,96,245,133,8,90,245,94,23,112,171,5,136,163,212,5,24,105,169,140,270,73,44,229,108,271,21,286,185,46,113,266,57,187,282,109,28,39,37,183,169,0,165,204,32,13,183,29,194,9,219,74,207,43,181,159,78,156,26,163,281,63,215,280,117,274,141,282,196,115,127,79,279,51,161,125,62,153,234,141,118,169,155,228,84,26,208,287,269,41,92,26,93,129,256,223,212,63,180,74,176,232,192,150,139,41,269,142,83,149,65,140,52,106}

{1,4,1,1,5,3,2,1,1,1,1,2,5,1,7,1,3,24,5,2,5,1,1,1,2,1,10,6,1,5,1,1,2,2,95,1,1,2,4,48,1,2,1,1,2,8,5,1,4,13,1,1,1,1,2,1,1,1,2,2,1,3,13,2,1,2,1,1,21,1,1,5,1,19,15,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,2,1,7,2,1,1,1,2,1,12,1,74,1,2,5,1,1,1,1,1,1,2,1,9,5,1,6,1,1,1,1,1,1,1,1,1,1,2,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,5,1,1,4,1,1,1,1,3,1,3,3,1,2,1,1,1,1,2,1,2,2,2,1,2,2,1,4,1,6,1,1,1,1,2,1,1,3,8,2,1,1,5,2,4,1,1,1,1,17,6,1,1,2,1,1,2,2,2,1,1,2,1,1,1,1,1,2,2,67,1,4,1,1,6,6,1,1,1,1,2,5,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,4,3,1,1,1,1,1,1,3,1,2,1,1,4,1,3,1,1,1,1,1,1,1,1,3,1,1,1,5,2,1,16,4,1,2,1,1,2,10,1,4,1,6,1,1,1,1,1,1,1,1,6,1,2,15,1,1,1,1,1,1,1,1,4,1,2,2,4,1,3,1,2,2,3,2,1,1,5,1,4,1,10,1,11,3,5,1,1,15,4,1,1,1,2,1,1,6,2,2,1,3,1,1,1,7,1,2,2,1,1,1,1,1,1,2,1,1,1,1,4,1,1,1,1,1,1,1,2,11,1,1,1,1,1,1,6,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,7,2,1,16,1,1,1,6,2,12,1,2,1,3,20,1,8,4,14}

{2352,416,3813,2387,285,1584,1564,4556,738,396,874,204,45,2380,98,5688,330,96,990,238,150,4958,1833,3618,1568,1599,450,792,1640,10,1520,70,840,680,95,7440,335,222,280,48,448,1200,7505,258,3182,144,120,520,1672,52,8190,132,2618,3075,836,301,288,1113,1020,464,3367,210,156,306,2142,22,4824,5810,126,6486,92,1170,182,95,90,3486,8134,1170,415,3486,5369,7050,7700,2320,6177,1027,2478,1045,1624,975,572,670,63,3526,2623,47,6603,70,2613,60,1435,74,216,3196,1425,2546,1675,1421,1247,2332,7885,340,3796,90,1275,741,462,1940,885,858,426,7138,5727,4964,3450,140,1185,208,24,348,784,570,1360,166,2414,3234,3060,798,1140,830,2650,4324,616,1170,1541,2106,804,4914,560,460,1827,816,2379,711,70,1938,504,166,1539,744,210,110,624,5427,6674,1012,280,455,68,1218,222,5092,1716,3870,1530,224,224,126,3752,9114,328,462,84,2550,1054,1248,120,836,2336,4558,1100,1440,1092,176,555,4982,5695,51,990,266,140,2924,3196,2490,1932,946,102,948,2686,684,3762,5893,3696,7154,1416,16,1026,67,2769,816,94,2184,336,36,4929,1824,1628,800,3854,180,395,923,2378,273,1633,2640,1105,615,5916,3230,318,570,588,2226,126,72,846,1320,6,1343,3280,5088,820,5916,752,2784,602,98,114,120,80,1540,126,690,2263,1804,2490,2754,4345,3276,2407,30,6480,1653,3154,1235,22,4214,32,1288,1295,90,1482,186,120,720,104,936,190,336,1520,5893,2520,5751,1836,5893,2814,5551,168,1136,2548,90,2905,3538,5508,3298,2464,430,21,1245,416,240,3528,2156,2024,6106,78,1050,1462,1806,351,18,546,960,20,1102,1140,41,180,1392,154,624,75,2538,1862,60,72,3120,957,413,416,3080,7138,180,28,798,2444,1275,532,572,996,210,1326,714,1530,3431,2491,1364,2379,6097,7885,168,1633,3525,3666,4940,300,870,3626,910,9702,737,536,1843,3478,330,6816,30,1008,9108,6935,1066,90,792,3486,182,8742,570,1380,781,588,68,680,670,481,2769,3432,790,3081,1078,2150,2236,320,6643,5795,1566,660,416,144,4087,440,1848,2016,20,5390,192,260,210}

Returns: "Solution exists"
166

{147,91,1,98,80,80,72,39,150,105,80,112,98,81,70,112,102,71,106,126,135,35,165,118,114,50,92,126,42,151,89,69,91,76,121,71,128,95,5,95,93,152,71,156,21,50,147,35,116,79,43,0,14,7,86,8,133,104,150,55,94,9,148,51,126,23,22,86,2,163,42,39,71,92,121,29,18,129,74,50,125,142,24,151,152,111,51,27,26,112,21,86,9,78,132,39,117,38,70,22,113,34,36,76,148,21,69,35,43,9,64,51,30,54,14,151,87,91,127,20,5,52,125,75,147,155,116,83,6,15,50,21,61,90,21,148,53,52,116,37,3,128,70,159,79,120,138,140,9,144,84,53,33,11,138,44,143,83,112,130,100,18,80,150,157,51,121,47,72,159,49,89,120,30,76,73,130,108,114,21,49,104,108,20,90,50,132,147,52,16,41,56,95,96,129,99,24,110,77,76,82,15,102,111,3,65,124,93,159,151,49,80,3,119,120,128,109,31}

{40,44,163,3,56,137,16,56,116,43,38,41,5,77,30,17,91,86,19,13,119,5,134,141,5,92,53,75,21,19,91,48,16,123,118,130,125,91,132,121,49,100,3,143,20,133,98,140,77,21,116,43,88,25,142,83,25,50,137,94,133,6,125,139,106,54,23,54,130,123,7,56,95,86,3,86,104,52,145,138,13,141,159,58,123,43,77,100,83,1,78,51,142,40,97,142,104,109,91,4,148,26,104,130,101,153,58,61,13,131,79,41,163,145,143,152,127,150,130,109,0,31,29,39,26,118,143,138,146,39,29,53,22,158,88,115,42,90,66,120,162,93,136,154,148,78,120,64,135,59,102,77,125,17,71,58,15,147,60,25,42,49,146,31,143,58,52,38,92,100,153,11,37,72,68,38,136,26,145,97,29,109,156,157,15,36,58,89,117,92,49,22,126,104,117,155,76,3,107,10,123,83,70,95,110,58,153,152,134,80,1,149,38,152,148,13,37,104}

{1,1,2,1,1,1,2,2,1,1,3,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,4,2,1,2,12,1,1,1,1,1,1,16,1,3,1,1,10,1,3,1,1,1,1,1,1,3,4,1,1,1,2,5,2,1,1,1,1,4,2,1,2,3,1,64,1,1,1,1,2,10,1,21,1,1,1,1,1,1,2,3,1,1,9,1,1,4,1,2,1,1,1,1,21,1,1,2,2,1,1,1,1,1,5,1,1,1,1,1,1,1,1,5,2,1,1,1,5,2,1,1,1,2,1,1,1,2,1,1,1,1,1,2,14,1,1,2,5,1,1,3,1,1,2,2,1,1,1,2,3,2,1,15,1,1,2,1,2,1,2,1,2,1,1,21,2,2,1,1,1,13,1,1,9,1,1,2,1,1,1,1,2,1,2,2,3,21,1,1,3,2,1,1,13,1,2,1,1,3,1,1,1,2,1,1,1,1,2}

{2628,1558,170,320,870,885,3526,1334,46,1330,270,1484,185,4482,324,1204,1482,1392,1958,6570,1508,2590,2655,2300,1147,2156,1862,2774,4416,1157,418,100,1634,1092,1600,336,910,1482,2516,2496,949,506,192,3599,414,1716,365,560,2324,1104,532,855,2134,1287,29,1650,1287,924,3245,4611,2067,352,350,126,1606,1080,702,1160,1680,260,832,1334,624,1421,64,1885,1428,2646,715,220,630,92,126,754,572,247,1162,138,6225,476,2277,406,32,396,4148,1540,924,3834,76,1222,1025,7221,3612,84,275,2553,2900,2520,1710,2400,240,742,810,520,1342,143,17,2090,1428,1278,1665,1862,910,874,6059,150,1708,150,330,3266,2860,2622,936,3082,6693,1100,1216,2254,700,828,5696,949,100,84,1200,9108,460,80,928,9405,351,3154,2590,3870,240,2378,4331,5475,1148,2772,1472,221,30,2090,549,406,3136,270,4018,966,481,990,828,6642,63,2214,2100,1494,2015,4209,65,5964,1062,18,3266,1892,1972,1606,2156,4214,689,754,2847,1092,1188,69,63,3520,7885,546,1404,5325,156,39,3520,2030,2405,803,630,195,442,735,1728,572,2300,1170,639,1596}

Returns: "Solution does not exist"
44

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

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

{1,2,1,1,1,2,17,1,1,1,1,1,4,1,1,2,2,1,1,6,1,1,5,10,1,5,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,6,1,1,1,4,14,1,1,1,1,1,2,8,1,1,4,6,2,4,2,1,1,1,1,8,1,1,2,2,2,2,8,1,8,1,4,1,1,1,1,4,1,1,1,36,1,1,1,1,1,1,1,2,3,1,1,2,14,1,1,1,1,14,1,4,1,1,1,1,1,1,1,2,1,2,67,1,1,4,1,1,1,1,1,2,1,1,1,1,1,4,36,4,1,1,4,1,1,3,2,1,1,1,18,1,2,1,1,1,1,2,1}

{3904,2376,7387,1825,2552,252,68,5874,290,1246,8217,1044,1428,4958,130,2516,2730,434,270,432,979,335,10,70,4422,25,89,132,1068,89,610,104,2024,6424,230,2412,5063,2075,546,68,2030,1513,737,144,2759,3904,528,924,14,4824,145,5628,276,7387,330,704,3904,6942,1428,432,280,792,296,730,31,290,3330,64,4556,23,476,612,468,616,48,3431,448,799,1088,2225,1700,1340,4026,504,240,68,804,72,1513,3149,1856,66,1984,1258,3102,2244,1260,4148,4958,476,84,60,5478,846,1044,84,4672,280,1656,4422,319,8811,1972,445,60,476,1950,378,67,6052,4482,1224,253,1081,2030,2277,55,1680,68,36,6052,3204,11,1496,72,60,1403,90,360,1742,4005,1260,2368,2146,7832,1679,72,406,444,391,3015,31,4087,1540,275}

Returns: "Solution exists"
154

{123,134,64,150,79,9,107,146,53,70,64,117,58,12,38,92,127,128,65,134,140,2,47,47,40,137,71,148,15}

{102,131,83,127,110,52,86,70,100,40,97,58,121,20,104,125,55,32,132,65,72,138,37,71,94,133,63,18,147}

{1,1,1,19,8,4,1,1,5,1,1,2,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,2,2}

{374,7,1386,57,32,1564,2508,522,560,3886,1900,84,438,2867,3876,287,171,48,5487,413,6132,946,2850,2050,3283,546,451,1914,66}

Returns: "Solution exists"
400

{263,218,299,68,48,188,279,87,218,381,95,44,144,224,200,242,112,254,60,26,207,4,38,219,180,113,377,126,56,104,105,3,332,132,176,250,371,270,106,138,355,393,361,62,216,215,98,291,337,337,270,347,178,243,59,13,368,334,72,339,56,52,140,170,265,239,0,117,293,122,208,139,99,327,37,0,119,63,1,202,149,124,257,227,284,338,140,180,204,115,268,120,233,99,271,156,92,107,358,150,352,233,169,27,213,206,337,343,289,319,364,57,234,117,205,180,158,349,105,112,11,313,43,118,359,364,289,152,58,290,44,358,382,278,356,26,102,106,146,109,196,211,52,208,321,265,253,212,249,379,227,114,364,394,271,372,95,169,256,378,25,388,200,54,358,86,381,272,391,320,233,179,96,25,26,206,185,201,83,84,157,333,10,252,286,134,312,289,351,298,188,148,361,321,296,21,71,121,2,222,330,18,149,248,325,275,93,387,290,36,158,370,235,162,174,173,82,62,278,222,393,349,86,388,187,265,222,259,129,95,101,82,382,320,230,364,340,48,110,240,44,202,95,32,114,138,256,245,310,321,394,378,333,340,365,12,269,109,249,321,293,105,5,78,195,392,92,255,44,257,283,99,343,315,20,77,146,117,143,149,76,303,3,277,265,270}

{336,380,126,196,181,390,291,5,251,217,56,356,98,264,143,358,107,170,59,37,383,154,118,78,38,42,60,114,209,91,62,121,273,86,352,74,109,391,11,228,353,125,44,201,345,12,339,141,10,186,69,11,329,293,202,144,177,123,31,79,194,337,149,347,204,157,225,336,248,188,42,331,0,93,29,51,244,125,220,82,23,332,354,85,100,244,139,86,154,64,379,84,203,323,86,178,337,223,183,262,21,111,42,138,25,110,306,238,192,158,355,100,49,290,24,275,8,68,255,101,228,96,168,297,250,134,122,162,80,380,62,197,147,298,177,95,178,61,374,252,80,181,291,353,214,166,95,372,95,42,26,111,27,110,149,336,220,384,21,204,300,344,341,183,373,332,33,381,55,298,300,253,341,386,218,216,152,233,294,327,299,23,46,82,45,9,178,250,211,321,105,336,20,177,268,203,123,228,25,294,312,149,257,15,30,213,250,314,182,313,126,316,363,282,218,304,333,180,224,341,398,279,373,174,184,297,212,17,37,146,217,9,53,190,279,132,315,223,178,85,369,280,86,259,223,371,366,312,184,124,174,195,78,276,314,119,216,335,188,74,371,166,289,390,366,118,109,347,317,222,179,155,199,357,78,397,360,162,395,395,112,195,300,212,193,311}

{2,2,6,3,1,2,1,2,44,1,1,10,1,1,1,1,1,1,3,2,9,1,1,1,1,1,1,1,2,1,2,4,7,2,3,1,1,1,2,1,1,1,6,1,3,14,2,1,1,1,1,1,1,2,1,1,1,1,8,2,2,1,1,5,1,1,17,1,1,1,1,1,1,1,2,1,1,5,1,1,1,3,1,2,12,1,2,1,1,2,1,1,1,1,1,1,1,2,1,2,1,2,3,2,6,2,1,1,2,2,1,4,1,1,1,1,1,2,4,1,1,1,1,1,1,5,1,2,1,2,2,1,1,5,5,49,1,1,1,1,1,1,1,1,1,1,1,7,1,1,14,1,1,1,1,7,1,1,1,1,24,3,1,4,1,1,2,1,1,3,2,2,1,6,2,2,1,1,11,4,2,1,1,7,1,1,5,2,2,1,2,2,6,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,12,3,10,2,5,1,4,3,1,1,1,1,1,1,1,2,1,1,1,1,2,1,3,1,3,3,1,1,2,16,1,2,3,1,1,2,1,2,1,1,1,1,1,1,1,2,2,1,3,1,2,1,2,1,4,7,1,1,1,1,1,1,11,1,1,10,1,3,1,1,1,1,1,7,4,1,1,1}

{532,1276,540,798,1600,1736,423,228,44,4002,1274,420,510,2144,2739,3835,470,3445,189,1666,180,1551,494,3311,2546,5952,1596,2220,624,420,1300,1360,294,656,198,7238,2210,2867,28,166,83,6080,660,1430,120,84,230,3807,5985,1520,2623,190,340,1692,837,816,4200,5529,336,138,754,570,1830,1235,5022,6900,170,154,3060,3162,1023,4514,1462,6532,408,1598,2279,1900,1104,1953,2318,462,930,616,240,4982,1110,1072,3726,100,888,924,7826,860,176,6885,6745,3760,5980,3772,2937,3526,2232,72,216,62,8170,684,2200,3290,7885,48,2185,528,33,536,1330,42,1200,420,166,2958,2961,1131,4982,95,4488,52,6566,1392,780,4420,2652,300,1050,98,4080,1708,1881,4165,5586,1850,282,11,1025,1426,1666,308,392,3441,392,3034,6840,1674,671,154,1127,2232,6586,3807,24,198,1886,92,3185,336,2146,1334,3102,1425,1032,374,1598,264,2156,24,494,4730,198,276,2700,2546,6300,441,3895,370,765,4136,2960,3075,3100,28,858,3075,24,8099,8051,6640,312,814,1710,6100,5673,6545,2070,216,6674,1102,48,2262,420,1680,315,300,220,810,4221,1742,1340,1739,2368,18,784,660,1798,5394,1036,6,204,931,1932,4662,351,456,576,7790,2730,320,5270,594,420,527,784,60,2960,26,3478,630,1519,2706,540,658,5159,1560,1178,602,600,1105,248,3157,468,2300,1672,616,658,832,6035,4560,1860,3441,198,2365,1539,560,6006,630,1045,44,7138,5246,95,182,408,924,4154,3050}

Returns: "Solution does not exist"
19

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

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

{3,1,1,1,1,1,2,1,1,1,7,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,7,1,3,1,1,1,1,1,5,1,5,1,1,1,1,1,5,1,3,35,1,1,1,1,1,1,2,1,1,1,2,7,7,1,1,1,2,1,1,1,1}

{1860,1102,7055,574,280,1102,760,7990,2394,12,35,950,760,420,7626,6510,21,282,20,5355,5229,105,28,340,1880,7387,28,2465,249,630,105,60,203,420,28,3290,21,175,1160,25,75,12,266,415,651,70,651,93,70,282,203,2050,315,950,470,1140,2581,35,7298,1558,315,35,249,190,3560,1880,116,2350,7626,2225}

Returns: "Solution exists"
488

{485,87,357,14,477,62,73,280,272,424,346,414,139,87,208,101,458,236,385,102,234,98,12,217,375,233,94,85,79,372,465,193,293,164,136,479,127,379,300,451,81,209,242,9,360,267,451,284,167,391,34,239,109,33,130,208,189,9,397,192,85,122,14,13,312,125,264,304,316,436,349,47,292,415,144,172,7,171,299,300,167,190,226,145,163,388,102,256,165,269,19,187,229,92,202,257,476,26,343,9,442,177,404,307,473,169,189,151,208,351,130,404,361,417,456,234,178,371,8,32,184,37,455,263,143,98,396,373,27,203,181,467,331,170,442,111,57,144,32,107,75,175,455,12,229,400,13,372,436,102,137,192,132,225,281,259,228,37,444,233,437,224,8,389,86,432,230,284,219,26,25,263,177,268,331,212,235,20,343,486,376,182,152,481,451,2,161,439,458,284,275,262,312,354,194,15,435,65,88,192,319,345,96,219,185,484,412,421,348,484,248,296,63,314,341,162,469,279,479,227,331,103,367,259,150,232,266,9,19,479,416,173,485,300,182,200,251,402,28,262,471,280,127,291,56,266,225,443,136,80,436,232,455,430,18,304,166,194,176,268,469,362,71,10,78,419,282,364,319,363,322,199,156,472,317,333,347,14,306,444,246,390,487,21,36,41,196,197,296,225,13,335,9,144,355,112,344,47,260,449,126,17,207,345,211,181,313,281,32,303,106,398,334,231,320,130,388,433,267,291,269,244,216,178,343,467,127,189,86,55,116,54,247,194,409,43,261,470,306,340,223,348,400,127,144,101,392,471,158,237,225,41,92,163,313,390,40,298,128,235,405,203,131,452,346,400,330,37,65,315,355,167,289,333,437,209,188,71,389,405,170,45,341,359,325,462,256,233,387,133,407,450,318,187,32,194,367,147,65,159,223,436,233,387,365,235,432,396,211,6,137,187,121,442,119,69,0,149,134,445,440,61}

{206,292,13,290,412,267,10,235,392,272,61,60,158,86,148,118,334,272,105,163,444,187,329,35,257,191,127,88,352,193,289,91,2,348,338,36,219,467,95,349,411,0,386,136,5,329,42,213,443,461,257,77,408,348,92,129,444,213,174,420,36,21,190,397,168,30,453,134,427,205,401,103,14,52,148,4,238,366,253,378,465,310,182,439,317,104,124,335,449,438,187,71,265,252,168,406,190,76,92,271,36,67,448,153,211,170,243,166,183,279,213,135,416,305,272,199,386,80,186,372,342,90,53,1,263,446,383,439,54,181,106,199,63,156,308,241,409,309,184,88,354,155,323,332,33,456,368,271,66,202,173,296,189,410,12,475,439,444,227,191,367,450,156,166,339,153,189,121,81,354,377,201,78,146,358,71,307,418,445,22,130,48,405,171,61,61,24,356,432,293,348,198,66,90,116,69,144,161,380,168,98,114,264,458,356,268,446,58,70,128,271,292,100,34,363,342,23,355,114,468,234,321,139,12,318,253,64,83,142,419,112,334,148,310,324,385,26,42,363,372,314,216,383,177,191,294,149,168,217,444,457,235,461,160,247,26,402,75,435,32,30,402,434,235,399,61,414,424,162,43,94,397,359,132,404,374,339,198,293,409,221,105,101,409,57,67,136,79,97,364,330,92,127,419,376,240,467,16,109,30,19,7,462,142,150,435,454,466,344,369,66,81,34,25,470,343,127,161,455,75,144,41,111,160,129,432,356,380,321,125,169,132,110,295,475,382,470,230,301,173,215,319,413,17,352,52,340,372,246,210,106,126,321,57,416,482,356,191,309,263,336,134,170,256,393,153,397,149,360,75,337,55,95,457,44,64,128,242,88,336,470,334,227,137,51,308,144,396,433,291,307,266,64,138,456,284,262,431,357,363,42,324,403,321,64,365,321,78,57,28,441,84,304,302,282,363,286,211,420,6,190,409}

{1,1,1,5,1,1,9,1,1,1,1,1,3,1,1,6,1,1,8,1,3,4,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,28,3,1,1,1,1,1,1,1,1,24,1,1,1,1,1,1,1,4,1,2,1,1,2,1,1,2,1,2,3,1,1,10,2,2,2,1,4,1,1,1,67,1,6,1,2,1,4,1,3,2,1,2,1,1,29,1,1,2,2,1,1,1,18,1,1,1,4,1,14,1,3,10,1,1,1,2,1,3,1,1,4,1,6,1,3,1,3,1,1,1,7,1,1,13,1,1,4,4,3,3,1,1,1,1,4,1,3,2,1,3,1,12,1,1,1,4,5,3,9,4,1,2,1,1,2,2,2,1,5,1,1,2,1,1,13,2,1,1,3,3,1,1,1,1,1,1,6,2,1,2,1,1,1,1,1,4,1,3,3,1,1,1,1,1,2,1,2,1,1,20,4,2,1,1,1,5,1,1,3,1,1,1,2,1,3,1,2,1,4,1,1,2,1,2,1,1,1,1,3,1,1,1,2,1,1,1,1,1,1,1,2,3,1,2,13,2,1,1,1,1,3,1,4,4,4,1,3,5,2,4,1,3,4,1,7,2,1,3,2,1,1,1,7,2,1,1,6,1,1,2,1,2,1,2,1,1,3,1,2,1,25,1,1,1,1,1,2,1,1,2,1,1,1,3,3,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,2,2,1,2,1,1,1,1,1,3,7,1,1,3,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,4,1,1,3,43,1,1,13,4,4,1,1,2,1,4,1,1,1,1,1,3,1,1,1,1,1,1,1,2,2,1,5,1,1,1,1,3,1,7,1,1,1,3,22,2,1,2,1,4,1,1,1,2,1}

{3458,1054,567,80,182,957,45,4800,7,76,2976,6237,837,1364,2788,6,5742,10,120,644,315,572,1056,969,3008,775,4067,87,196,1598,817,1666,1600,1520,49,6882,735,522,4300,3450,3740,728,140,58,168,1056,2208,61,1632,3440,423,966,120,912,48,3854,546,58,1302,435,222,1302,1840,651,84,6966,9312,370,2320,1908,450,858,1360,2268,1292,2773,60,1476,2964,3900,969,1656,4876,420,2208,67,140,480,3066,1974,2156,880,4080,912,44,3713,4324,1914,2928,58,1406,66,612,1218,6004,5246,78,54,2911,5742,24,476,2397,84,19,765,560,3692,96,4277,2184,704,1260,3950,4650,520,6039,780,612,1425,6225,306,3150,1290,1273,294,3080,1007,546,1740,5106,680,840,990,816,437,371,1363,1378,308,210,2610,130,4087,594,1479,360,1344,1932,775,1288,585,480,90,1056,406,260,4392,660,2442,252,1450,258,1300,450,2960,1344,4998,915,78,984,5796,3245,468,2139,5952,4717,1860,693,1525,988,252,1092,814,1628,186,1900,8188,145,174,416,3608,2784,1617,1581,1430,3640,333,608,836,1508,1530,2898,342,100,1064,888,990,3813,8924,450,539,2484,561,2470,5092,1911,116,2450,1116,2867,290,6188,1800,644,360,660,1248,100,846,1862,1200,4851,54,1550,882,305,32,17,1092,636,4288,2580,8722,4947,330,234,5106,4900,455,1032,156,5360,576,946,1116,462,684,608,1300,581,1581,75,260,1632,6035,1824,1680,2475,168,902,1416,138,1736,4070,275,75,98,4410,2196,497,240,2842,684,410,2013,144,5538,120,6278,4606,780,7821,2200,2054,300,390,3294,1456,332,2158,1012,522,798,1596,1464,3283,3204,660,621,798,925,336,7120,5734,126,1519,130,2156,2268,2684,180,1067,6734,1624,3588,1302,420,9603,140,2555,608,1771,1911,76,162,28,2303,2046,1254,5063,2350,2352,1265,611,4484,589,400,4028,1600,5841,4218,3870,8544,2976,1334,6603,320,1932,4071,590,1428,86,1020,3976,273,532,80,1305,5841,1806,638,460,525,684,6633,1824,1891,396,1728,42,2205,3705,3300,1729,4514,828,56,7452,1100,1120,371,2945,495,1287,6336,49,2623,4345,166,672,44,360,1482,120,3100,136,395,370,1245,3220,5208}

Returns: "Solution does not exist"
337

{217,18,155,190,261,76,227,148,49,157,262,235,254,329,132,110,284,264,328,49,294,244,130,100,65,85,123,156,266,67,131,306,268,225,175,320,206,211,100,141,306,114,291,128,192,14,321,206,81,48,285,254,63,96,305,91,3,23,284,306,298,284,86,165,218,232,113,154,253,30,119,69,318,177,329,312,264,16,38,166,151,98,143,309,323,159,23,177,124,301,97,246,256,25,132,75,94,90,323,37,66,124,300,145,64,289,129,93,188,227,25,78,267,151,202,69,13,276,157,1,175,53,251,61,115,262,146,29,156,121,187,191,203,191,17,245,187,149,0,146,229,61,156,92,332,298,293,199,103,22,247,129,290,218,303,121,85,22,26,128,243,218,275,296,186,144,58,7,309,299,173,271,250,113,152,330,300,235,240,313,79,74,44,147,47,13,126,215,266,336,242,30,273,168,102,330,276,45,14,132,233,285,305,152,131,298,203,230,260,187,73,254,96,225,254,204,178,297,241,193,267,157,183,336,57,9,14,139,56,325,1,101,61,18,280,100,179,10,136,158,127,38,163,97,255,84,302,312,233,317,215,160,249,138,10,34,146,149,90,168}

{238,245,262,82,333,109,161,108,182,100,330,280,284,26,277,88,115,70,273,195,250,22,299,120,284,194,274,192,88,43,75,10,309,163,165,1,282,2,133,89,221,329,45,306,87,188,52,196,19,283,24,187,260,131,275,325,141,205,9,183,336,99,217,219,165,310,180,262,29,298,287,60,289,316,281,210,312,71,49,59,234,83,95,81,64,172,239,120,10,264,266,29,280,179,103,42,6,77,310,85,84,235,162,253,14,308,32,48,283,282,324,249,131,233,79,132,98,336,173,18,38,308,224,247,218,51,332,5,96,251,326,312,27,98,97,247,266,28,23,66,106,211,295,67,281,291,30,14,170,185,228,168,142,41,290,286,203,272,129,103,97,86,283,212,80,52,162,19,277,96,110,252,51,102,96,268,159,244,111,168,203,335,75,132,297,166,239,282,247,74,109,137,115,107,137,166,15,286,134,180,304,292,335,135,257,185,272,76,88,333,64,113,319,236,180,287,82,84,64,101,1,5,164,49,60,59,278,88,336,161,66,100,254,207,176,68,296,0,226,135,157,72,145,116,26,128,288,108,322,182,199,74,48,216,90,127,312,53,180,70}

{4,1,1,1,1,1,1,11,2,3,1,2,1,1,1,1,1,3,3,1,1,1,1,1,1,4,1,1,1,1,1,1,7,1,1,1,1,2,3,1,1,1,9,1,1,2,5,47,1,1,4,3,1,1,4,3,4,7,1,13,1,1,1,47,1,2,2,1,3,1,1,1,1,2,1,1,1,3,2,1,3,2,8,1,37,1,7,1,2,2,1,1,1,1,1,1,1,1,1,26,1,2,2,1,1,1,1,1,2,1,1,1,1,9,1,1,2,5,9,1,4,6,6,1,2,1,17,1,1,6,1,1,1,2,5,1,33,1,7,3,1,2,4,1,2,3,4,2,1,1,1,1,74,1,1,2,1,1,1,1,1,1,4,1,1,1,2,1,1,1,1,1,2,2,1,6,34,1,2,1,1,2,1,7,1,1,1,1,11,1,2,52,12,1,2,1,4,1,2,14,33,2,24,10,1,1,5,1,1,1,1,2,1,1,14,1,1,1,1,4,9,1,1,1,2,2,1,1,1,2,9,4,4,1,50,6,1,1,1,5,3,1,1,1,1,1,1,1,3,1,8,2,1,1,2,2,1,1,2,1}

{88,9312,1394,3021,3953,1220,276,165,182,288,1224,2400,1428,494,4872,1147,612,78,864,1430,1136,2485,399,8736,1598,884,138,156,3069,6205,1739,1118,294,1136,3196,2385,8930,1178,2208,620,832,57,180,1209,2652,2418,825,94,5251,240,836,924,340,2479,1056,1782,140,728,1462,13,2805,1581,264,94,2350,680,4606,1292,33,1716,1739,1740,6390,2100,1862,2139,186,54,520,806,621,1334,240,4361,37,170,616,4550,3526,138,2475,168,1650,2997,2296,799,1564,4218,1258,52,99,3936,748,1023,2294,4686,4872,570,624,6555,1782,814,1332,297,1027,4872,1334,1020,27,4365,680,462,60,220,900,986,102,87,268,60,2937,372,30,348,475,5280,99,2336,728,153,272,124,12,2380,1666,396,988,248,41,6674,2365,7395,74,550,6438,42,260,4970,2262,3813,475,150,176,228,1360,150,836,1416,4263,1407,999,574,464,4042,6700,504,68,3360,828,1955,395,24,658,280,2442,1426,6930,4560,495,170,140,52,288,6460,2236,2232,1320,630,1860,392,99,1748,96,700,925,3102,70,3599,620,2211,2109,3948,1608,1988,588,1363,5035,407,555,2300,180,261,1157,2210,260,1118,186,1023,510,132,45,2400,84,2619,100,288,703,7826,5612,70,18,840,496,1225,2418,1023,4450,1705,2871,462,48,72,165,310,3182,30,1581,3066,3626,3315}

Returns: "Solution exists"
445

{372,300,353,101,321,434,101,228,393,427,213,42,274,128,218,160,170,363,33,287,403,105,342,420,44,286,9,155,375,265,328,356,305,165,187,176,136,187,337,206,355,60,397,81,204,434,192,26,173,289,377,349,386,335,77,215,406,108,318,437,350,102,27,282,315,384,339,4,128,394,292,99,53,255,100,94,119,144,23,327,393,48,184,355,213,206,228,393,304,157,4,60,83,214,384,408,2,4,200,383,168,290,113,327,232,151,303,121,424,364,71,77,289,202,200,275,382,349,351,340,58,361,68,258,40,433,444,214,224,217,295,413,205,362,267,13,340,138,123,364,109,216,167,435,333,346,405,281,418,98,371,296,70,403,255,0,122,346,100,189,137,69,17,165,232,6,254,348,72,246,98,257,26,360,224,293,147,315,371,181,90,204,255,52,48,271,34,26,188,173,259,153,306,172,75,200,317,300,294,374,139,72,327,54,40,358,202,42,431,200,310,259,43,317,10,122,32,266,220,420,317,396,146,318,259,316,212,139,367,186,151,211,409,136,290,154,78,36,107,83,366,72,313,371,43,170,2,438,121,109,294,277,238,94,420,436,389,205,123,406,79,261,215,369,156,300,389,368,326,142,115,137,39,371,79,275,307,381,305,67,443,111,74,384,431,50,36,109,190,119,41,142,21,183,342,95,418,208,179,334,270,427,291,271,296,265,307,306,413,184,26,218,35,99,229,158,119,359,131,193,246,140,75,309,398,140,101,53,252,314,349,254,45,279,175,65,285,422,439,152,303,109,293,240,199,143,414,105,226,146,306,8,209,104,15,50,283,116,196,219,294,102,8,92,26,55,117,33,288,132,123,149,284,160,209,8,135,192}

{15,66,104,393,49,225,162,278,195,126,329,408,333,72,370,432,173,201,85,395,380,317,43,368,324,373,142,341,321,289,237,310,3,3,98,193,341,162,176,427,178,9,128,115,205,235,89,37,248,245,266,410,232,174,170,40,357,444,292,405,183,398,62,59,316,105,28,234,272,307,403,190,255,403,234,6,91,398,333,159,148,77,319,171,115,413,287,24,71,89,327,325,376,403,395,303,410,114,59,21,230,5,245,248,174,172,257,323,393,37,350,157,76,109,430,415,196,399,381,12,123,134,199,241,350,244,61,15,62,302,154,432,405,98,315,191,47,204,330,379,135,207,39,399,317,187,177,141,77,142,76,384,200,30,184,92,41,146,70,151,346,291,34,405,13,375,138,418,68,131,347,132,324,262,429,404,345,115,190,247,369,344,61,111,321,398,19,30,51,259,290,27,352,105,253,253,222,328,358,348,395,118,229,269,325,82,217,282,62,170,340,230,288,165,29,434,12,225,407,131,303,302,376,301,390,89,208,60,438,125,126,190,23,143,305,86,358,29,410,332,399,341,388,393,229,171,425,86,253,65,344,361,279,197,393,379,229,394,139,66,127,144,40,151,63,393,280,135,40,4,299,332,123,81,159,218,179,378,251,374,171,356,376,46,42,185,165,0,61,10,156,54,251,354,54,263,269,155,394,88,222,26,131,204,331,223,227,396,232,46,129,55,189,159,37,94,421,306,120,275,32,358,410,91,34,196,204,71,355,170,406,306,299,113,114,232,183,424,361,288,278,135,397,311,323,359,157,157,146,31,202,54,333,146,406,243,437,83,443,334,237,331,275,298,72,405,373,10,333,184,84,183,410,186,302,63,105,301}

{2,3,2,2,10,41,2,9,3,1,1,2,1,2,1,1,3,1,1,2,1,3,1,1,1,1,1,2,2,2,1,1,5,1,2,1,14,2,21,1,1,4,1,2,1,1,1,3,1,1,1,5,1,1,2,4,2,1,16,2,2,1,1,1,4,1,34,1,2,1,4,4,3,2,5,1,1,1,1,1,2,4,1,1,1,1,1,3,3,1,1,1,2,2,5,1,1,1,1,8,1,1,1,1,1,20,1,14,2,1,12,1,1,1,1,1,1,25,15,1,2,1,3,1,4,5,1,6,1,1,2,1,1,2,5,1,1,6,6,1,4,4,3,5,1,2,1,3,1,1,1,5,1,1,1,2,1,1,1,1,2,5,4,2,1,7,1,1,3,1,1,3,1,2,1,13,2,2,12,3,1,3,1,1,18,1,1,3,1,7,1,1,1,1,2,1,3,1,1,3,2,2,1,1,1,1,3,9,1,1,1,1,5,1,1,1,2,1,3,1,1,1,1,12,1,4,25,6,5,1,2,1,1,2,1,1,7,1,1,30,1,2,1,6,1,6,16,1,2,8,1,22,1,1,1,5,2,1,6,2,1,1,4,1,2,3,1,1,13,1,6,10,3,4,1,1,1,1,1,9,3,1,2,1,2,1,1,2,1,1,5,1,1,2,1,5,1,1,1,4,1,1,1,2,1,3,3,3,1,1,12,1,1,4,1,1,1,3,1,1,1,1,1,1,1,50,2,3,1,9,2,1,2,3,3,1,1,2,1,1,1,4,1,2,1,3,1,1,3,1,3,1,1,1,2,1,1,1,1,4,1,3,3,1,6,1,1,1,1,1,12,2,1,1,1,2,3,1}

{3198,228,946,156,720,41,2340,198,138,78,3569,360,5767,2262,2075,6790,126,663,1794,310,4524,1479,3705,925,4656,3871,472,2632,1260,1188,5544,1053,240,420,1786,798,56,4230,63,20,1305,168,4118,300,42,123,4556,348,1596,2860,664,1700,2542,1804,828,208,2064,427,192,4300,132,4059,3445,1305,460,1275,68,1860,812,231,832,252,510,780,780,4543,684,2542,1422,4324,138,1656,1649,348,258,740,6138,186,480,3196,1457,2436,660,468,50,1880,1360,186,1769,144,5015,1581,6435,3572,1271,20,2961,98,276,2436,96,4324,1012,3432,5917,1107,4450,100,75,3060,120,5214,1725,2322,156,100,2867,234,3640,1722,2408,2590,86,1216,300,581,4080,420,312,2660,264,276,690,25,6873,1504,5762,1800,8924,2242,1104,475,2074,3900,2910,1040,4465,2208,2210,380,160,75,720,1204,217,308,420,7275,1950,1675,2546,315,1164,2494,3640,546,3588,60,144,2268,6557,1134,1410,2037,360,2132,396,300,792,21,119,477,258,1020,8,122,2175,5016,595,900,330,3198,94,1749,1508,168,546,90,520,1098,1105,595,1615,2436,1517,1927,468,328,165,1675,4089,369,3036,144,574,1564,150,924,715,3690,780,684,1422,420,1360,6966,28,1189,5270,30,1700,2184,7347,48,190,36,48,4455,98,616,6885,132,672,4012,150,1900,40,77,264,516,68,6138,208,1580,4230,114,2120,444,364,1829,42,30,552,1200,92,2241,30,3225,7440,324,348,7857,1628,1975,72,8360,812,1144,1692,1332,1710,3127,1488,44,2067,990,3201,7050,770,144,4350,12,5025,1092,3705,594,96,9,1147,7663,36,8217,1330,644,174,5192,612,87,335,1026,650,700,680,304,1476,100,1092,1632,2320,162,4300,21,1974,3168,102,1736,1254,92,5478,170,846,264,5538,3920,966,1740,1645,2397,897,6279,39,2226,3555,1518,3354,2728,9900,210,4350,360,5355,1287,378,560,156,8514,1323,1443,6715,1455,72,1012,5015,3977,1845,1974,204,2412}

Returns: "Solution exists"
270

{111,103,20,124,58,238,106,97,62,6,156,144,19,202,185,92,58,150,95,204,55,51,258,192,134,245,16,172,232,106,115,218,166,198,40,68,238,178,38,172,48,165,195,164,101,90,244,88,111,4,213,196,245,68,268,206,40,191,178,75,6,90,63,156,216,69,192,226,39,123,252,176,37,97,198,162,247,102,152,182,55,135,171,151,128,94,234,203,201,76,25,202,264,221,173,255,10,113,138,191,187,144,177,194,132,123,231,76,90,219,29,2,178,267,136,68,89,61,238,69,128,30,92,57,213,32,24,125,208,83,4,235,257,0,135,231,153,242,3,127,31,224,36,82,78,258,89,249,163,27,213,4,156,256,181,143,38,222,136,121,197,26,133,188,28,66,94,126,89,40,177,222,259,177,87,120,63,136,228,34,243,202,242,61,248,214,84,213,197,233,25,36,227,73,80,40,14,267,77,158,15,210,58,38,41,226,50,245,80,27,119,244,167,227,56,133,214,63,162,139,145,9,96,241,66,248,45,68,148,237,8,216,25,267,76,250,53,38,252,207,258,193,252,69,133,171,112,102,69,222,29,153,15,47,52,134,109,192,238,264,4,65,262,100,205,9,36,175,5,104,20,113,199,123,120,135,79,214,239,230,236,15,121,104,243,192,27,111,221,198,75,194,130,95,197,240,12,130}

{171,209,192,111,93,201,193,193,203,1,124,66,136,85,238,178,79,216,209,118,254,134,182,184,245,63,120,126,48,219,143,55,52,50,84,124,108,66,45,231,60,11,34,245,78,23,140,223,103,263,268,261,150,101,207,137,76,167,212,90,190,203,209,47,56,230,77,69,187,158,74,236,141,256,205,229,267,171,175,166,260,105,26,154,233,195,233,112,207,181,249,27,212,13,236,90,217,153,220,189,174,58,223,207,115,52,45,149,121,177,186,259,58,81,114,14,47,3,154,246,187,160,207,234,187,182,210,25,157,214,214,64,154,80,195,133,229,11,128,31,135,122,37,201,185,27,234,118,39,8,232,69,100,225,36,216,269,143,57,214,106,15,62,108,208,106,187,262,154,9,29,141,120,175,22,99,268,186,154,82,26,86,230,178,115,74,205,9,234,5,198,79,241,209,177,129,167,60,257,112,115,56,171,141,42,237,66,151,175,153,42,87,142,91,216,204,49,86,21,14,263,8,208,82,253,214,203,205,62,254,2,193,118,57,146,181,5,104,5,27,56,77,177,37,47,231,173,108,22,258,77,179,60,64,16,158,112,268,218,160,11,252,231,116,182,200,176,105,246,22,133,172,246,190,14,189,147,160,70,134,24,232,144,269,77,46,6,228,50,61,235,245,242,269,0,119,140,219}

{1,1,2,1,1,1,2,1,22,1,1,1,1,1,1,1,1,1,1,1,1,33,31,1,1,1,1,1,89,1,1,1,1,1,14,1,1,3,1,3,1,1,11,1,1,7,1,2,7,1,3,1,1,1,1,5,2,1,1,7,1,1,4,24,2,1,1,1,2,11,5,1,1,5,1,1,1,17,3,1,1,6,1,1,1,1,2,4,2,2,3,7,1,1,3,1,1,54,1,1,15,1,2,1,4,1,1,1,3,1,1,13,1,1,1,4,2,1,1,1,3,1,1,1,3,1,1,1,1,3,5,2,49,1,2,1,2,1,1,1,15,7,1,1,4,1,2,1,1,1,1,1,1,2,1,1,1,5,1,3,2,2,1,1,3,1,1,1,1,2,2,1,1,3,2,1,3,1,1,3,1,1,1,1,2,5,2,3,2,2,1,9,5,1,2,1,2,1,1,1,2,1,1,1,1,1,3,1,17,1,1,1,1,1,2,1,1,2,1,1,1,12,1,3,3,1,1,2,6,1,1,2,1,1,1,1,12,1,1,1,2,1,1,1,1,3,12,5,1,1,1,1,1,2,1,11,6,1,1,1,1,1,32,1,1,2,1,3,8,32,1,3,1,1,1,2,3,1,1,3,3,1,1,4,1,1,1,1,3,1,1,1,1,1,1,1,1,1}

{2856,7084,2790,280,1161,2144,3332,6460,132,3776,240,759,1320,735,3484,663,4257,4698,6532,3705,2328,99,62,1798,4851,2940,920,759,89,7154,4160,8051,1710,75,98,460,2680,1173,49,1056,1157,912,66,3920,1100,210,5015,152,616,95,69,8170,3969,2300,6,300,1274,8742,4539,105,1239,924,1380,144,1972,1704,3286,4189,420,22,650,1311,2024,1520,58,2100,664,255,306,2790,7081,240,2346,2499,5670,374,3290,264,32,416,2208,49,7120,3534,1380,924,5106,54,190,3162,30,473,168,38,704,418,96,2002,672,3066,6674,78,2193,3320,1705,92,2232,910,72,2840,810,6545,26,4794,690,1488,5427,7008,6552,585,855,94,98,2550,330,1632,756,1200,5265,3450,150,147,792,2208,572,434,2914,6555,2436,672,6141,6745,48,3440,288,3770,4508,65,2805,1440,784,1886,1122,3640,792,6762,510,1472,3038,2940,1974,115,1794,714,608,736,60,3905,2499,759,4186,4018,600,714,448,450,406,1380,752,1680,96,99,660,92,714,5586,188,1079,5194,264,2624,4556,2193,1127,576,5723,1725,2499,102,378,5312,3230,8366,4785,1972,663,4140,2460,1725,196,1,480,72,1380,759,630,44,2668,198,2328,1248,1972,9120,4233,1950,1248,240,1568,3120,14,2108,3604,2730,6248,1224,1632,120,680,2272,310,4982,3186,1066,3283,760,99,168,186,5561,6160,4560,1755,192,75,1798,1380,171,816,240,32,1530,594,840,462,92,510,1386,3465,258,792,1863,7298,1056,736,4823,62,413,2856,2325,14,3290,931,525,6532,1200,2407,1416,1533}

Returns: "Solution does not exist"
191

{72,45,96,20,114,188,100,59,170,185,26,100,89,145,89,95,18,79,31,128,31,69,37,70,152,40,130,73,70,12,131,57,154,78,177,11,26,28,150,73,131,43,114,136,71,109,101,11,67,74,58,134,43,144,25,72,88,132,5,1,111,107,43,37,69,20,100,160,92,122,143,78,9,126,48,91,109,105,135,182,98,171,176,99,0,183,80,23,57,166,133,43,76,60,92,69,158,87,190,30,152,125,72,139,185,77,89,121,90,106,61,32,70,139,176,140,128,94,69,69,59,35,74,165,127,99,190,24,167,111,27,74,89,7,83,59,151,175,159,65,128,17,20,90,153,24,129,138,180,18,116,81,10,22,87,77,61,26,181,111,53,32,128,154,42,163,171,9,99,189,29,187,109,87,74,56,6,83,18,78,85,139,3,100,186,21,137,108,16,42,189,9,29,65,179,42,2,98,73,152,70,79,86,133,42,54,88,162,14,43,189,118,170,131,128,184,143,15,102,73,89,58,60,35,53,128,16,88,83,16,0,2,171,104,103,145,109,58,16,23,113,99,160,97,172,70,167,101,49,114,30,109,142,1,107,59,146,183,90,65,3,80,179,129,62,54,22,85,129,7,22,61,111,168,85,65,59,97,160,17,11,2,181,32,164,139,177,185,97,124,47,26,66,27,116,188,148,59,167,0,71,63,38,167,30,41,139,137,117,37,164,141,137,147,29,171,18,41,179,91,96,105,62,41,72,126,63,10,90,77,113,74,133,59,23,84,125,9,66,17,7,88,174,44,66,49,43,183,60,5,11,124,21,139,162,161,9,98,38,78,164,11,29,190,82,100,69,186,125,62,73,68,22,121,158,7,144,75,83,115,39,7,88,11,132,163,24,112,67,56,177,99,83,137,154}

{175,165,44,112,154,164,187,111,60,189,159,151,179,50,93,118,114,164,96,155,85,99,110,74,69,22,15,131,106,74,147,61,108,125,149,56,19,29,107,123,185,74,164,130,104,121,105,114,85,118,76,96,81,12,41,139,20,40,57,177,47,57,109,32,186,161,31,31,5,165,163,47,59,64,83,157,75,133,32,19,114,103,91,173,97,111,137,34,91,147,67,26,136,140,6,182,109,182,15,118,184,22,12,187,125,128,28,102,165,1,82,76,74,88,144,42,14,122,12,149,46,124,137,98,125,27,0,30,132,112,61,59,37,175,176,146,150,3,128,173,24,88,98,143,176,1,93,102,118,28,167,66,98,43,100,7,110,144,21,93,41,159,4,41,124,156,13,59,4,61,135,175,106,119,180,140,14,87,111,31,100,188,23,68,117,175,130,6,58,112,125,187,5,162,187,103,116,55,46,188,135,40,73,20,61,160,89,140,183,83,159,38,77,11,106,11,103,20,62,173,64,57,181,148,86,7,64,28,170,21,16,177,30,99,74,87,67,149,30,65,87,151,30,183,14,72,3,118,34,122,176,190,95,175,139,175,179,23,0,154,63,13,170,14,7,189,79,179,50,67,40,175,129,4,68,103,29,54,157,32,184,90,31,157,137,148,35,21,154,13,189,179,165,75,57,108,64,86,7,103,82,106,134,12,94,101,171,25,88,149,157,165,64,1,76,6,77,40,140,52,74,30,42,35,40,187,93,171,54,12,175,3,55,157,5,111,73,89,181,9,125,60,78,56,13,169,139,90,3,84,127,22,44,136,17,58,12,126,15,37,142,12,71,101,44,17,15,134,164,100,36,58,7,30,75,115,13,77,20,146,38,139,40,62,109,142,166,104,21,33,162,27,139,106,85}

{1,11,1,1,1,1,13,3,1,5,1,1,1,6,1,1,1,2,2,1,1,1,1,5,4,1,100,2,1,1,1,1,1,1,1,1,1,2,5,4,10,1,1,4,2,49,1,1,1,1,1,2,1,1,1,3,1,1,3,1,1,1,1,1,4,2,1,2,2,1,1,4,1,1,1,3,7,1,1,3,11,5,1,1,1,1,15,1,3,1,1,2,1,25,2,4,1,3,4,68,6,1,1,1,1,1,1,1,1,9,19,1,5,3,1,1,1,2,4,1,1,6,5,11,1,1,1,1,1,1,1,5,1,2,1,3,1,1,1,1,1,19,1,1,1,9,1,1,1,13,6,1,1,1,39,4,1,1,48,3,28,1,1,1,1,1,1,1,1,5,1,2,1,1,1,1,2,3,1,2,1,1,1,1,1,2,5,7,1,1,1,1,6,1,2,1,3,11,1,1,1,1,8,1,1,2,1,5,2,1,1,1,2,2,1,6,1,4,1,1,1,1,1,3,8,1,1,1,1,1,1,5,17,3,5,3,1,1,1,1,13,1,4,1,2,1,3,4,5,1,1,1,1,1,1,2,1,1,1,1,1,3,2,2,24,1,1,1,32,24,1,1,1,4,1,1,6,1,96,5,1,1,2,4,1,3,2,6,1,6,5,2,1,1,3,1,1,2,6,1,1,8,1,2,4,4,17,1,1,1,16,1,1,1,21,1,1,1,5,3,1,1,1,2,1,1,1,1,2,4,2,1,1,6,1,1,1,17,48,1,1,1,1,1,24,9,1,4,1,1,12,1,3,1,5,2,1,1,1,7,1,32,2,4,3,1,4,8,1,3,1,1,1,1,3,1,3,1,1,1,1,3,1,24,1,1,1,1,24,1,20,6,3,9,1}

{5106,55,2622,2380,6545,1264,78,690,2450,90,5994,546,680,864,459,5644,5005,784,950,8455,2650,348,6391,475,48,295,100,2520,6840,1600,5530,8265,4165,1288,3720,9312,222,1092,585,1368,630,550,1232,200,3588,49,588,7392,1272,1700,714,1064,374,5568,532,1173,3876,295,1914,3240,1380,5655,1078,1540,88,1972,1950,2400,1914,2090,7566,280,510,2573,315,2592,441,245,340,84,77,1615,3483,4785,651,276,225,4615,2349,3713,120,814,168,75,2436,84,3234,1092,1300,68,720,115,4416,1326,2070,8188,884,931,1760,648,285,420,475,969,3741,7275,178,988,64,372,390,78,225,55,1380,8004,1092,6732,330,2415,8740,150,1309,3552,1935,990,630,4662,7209,5335,8811,285,748,3104,3397,891,864,114,2244,260,858,1632,649,110,39,2208,7885,6438,48,621,56,1620,1424,2380,582,4758,2040,510,1392,95,714,962,3528,2769,825,7275,84,585,4485,1400,2067,4029,4473,897,5192,1776,900,588,1598,3395,115,442,462,1940,520,9215,1950,11,936,3792,1615,5782,288,340,9215,672,969,300,4,990,405,4692,4508,3360,6408,1440,9215,1700,456,3960,1411,2958,1200,1638,224,8544,3901,2964,4410,2256,987,600,340,2262,475,702,1176,3162,3196,6887,156,1218,1632,124,92,6555,1386,204,1170,2926,2924,2548,83,5994,3315,1110,3960,284,672,8245,504,600,1960,32,96,70,490,2120,96,96,295,7030,2208,272,1219,9215,210,434,96,380,1440,2400,1200,480,720,1071,1560,720,2635,24,20,1480,5280,5796,2262,3871,5229,480,1056,1995,5244,72,3864,2112,884,84,255,855,3363,7161,96,5335,3735,6399,42,7140,5980,1652,600,1134,950,3332,2328,1092,4071,806,216,5015,224,1472,1924,1575,55,480,4686,6693,1656,17,96,1615,2208,1425,4424,6693,96,990,1122,32,1575,6402,480,30,1104,408,380,986,1088,341,6900,616,16,192,1932,156,1311,3705,100,616,368,312,4248,782,480,3332,1386,3936,696,5796,3060,4059,4416,1632,3363,96,245,78,4653,2730,48,6111,40,8004,765,360,4505}

Returns: "Solution does not exist"
295

{197,119,260,142,34,222,280,32,97,148,13,145,255,99,177,125,203,35,203,230,245,257,223,250,154,244,6,22,0,212,267,71,282,226,152,18,258,215,222,286,282,220,57,192,220,43,55,11,224,222,285,119,11,186,182,191,133,112,66,255,260,51,6,26,178,0,274,24,0,185,178,254,189,130,87,163,246,7,37,117,120,3,236,104,31,57,55,281,39,68,278,181,5,197,235,97,67,281,75,220,220,162,100,46,79,231,266,291,191,146,156,89,230,150,49,180,287,126,46,269,87,171,146,215,226,170,53,182,245,27,294,213,241,41,74,230,78,220,28,283,116,139,12,277,238,143,122,225,36,196,174,87,16,252,173,293,12,147}

{168,30,92,283,144,150,92,18,66,152,207,205,147,21,216,113,84,203,259,89,150,78,127,192,194,130,76,130,77,172,9,249,129,270,215,291,10,73,261,3,171,19,114,65,193,137,215,26,203,94,193,118,141,47,257,255,21,184,183,238,81,167,91,183,229,294,159,160,236,209,155,144,273,198,55,150,62,224,232,188,67,262,35,58,126,44,42,276,72,275,97,149,70,65,103,37,261,167,63,250,55,196,236,35,179,130,110,173,134,135,36,182,290,157,172,201,132,226,172,123,17,94,172,122,82,288,90,192,158,156,292,173,289,58,195,66,81,2,22,76,244,201,237,46,213,182,289,91,5,278,291,72,50,55,14,8,203,166}

{1,1,1,3,13,2,1,1,1,1,1,2,1,77,1,8,1,1,1,2,4,1,4,1,11,3,5,1,2,2,1,1,2,26,27,36,1,1,2,3,2,1,1,1,1,8,3,1,5,6,8,1,1,3,16,1,1,1,1,1,1,1,1,1,1,1,1,3,1,10,1,1,1,3,3,4,1,20,9,3,1,3,1,1,1,5,25,1,1,1,1,4,8,1,3,1,2,1,1,1,1,2,1,1,1,3,1,9,3,3,3,2,3,1,2,20,1,13,2,1,3,4,1,1,1,2,3,1,5,19,1,3,1,2,1,1,1,1,1,1,1,2,2,1,3,1,4,2,1,2,9,1,3,1,1,1,1,1}

{1980,8740,1325,612,390,1728,925,3276,8827,2700,1624,476,3315,77,7505,120,945,2835,2870,2664,320,4080,836,5551,44,1056,1900,1221,2184,440,900,7440,658,52,81,36,697,6642,1188,189,2068,1045,1615,4823,608,56,2025,2336,280,864,352,7790,3869,1575,160,4485,6930,1406,4641,5265,2332,5135,900,1632,2173,2408,2100,1914,2968,10,3567,4485,731,66,1425,1216,3477,200,396,630,186,693,4293,5074,4186,1900,75,2492,744,1005,3492,364,352,2332,1656,9603,44,2212,1420,1159,1425,2542,424,1296,2360,957,483,180,207,600,969,1184,360,2112,110,300,2706,364,176,4047,627,1056,1650,8100,5148,204,126,2912,20,114,1462,765,1680,1548,3080,6552,2244,1615,740,3420,672,300,22,496,1377,1632,1200,765,1632,1476,396,1767,42,1050,3960,2370,770,255}

Returns: "Solution does not exist"
386

{214,191,368,22,161,156,169,284,162,55,15,72,128,214,99,146,114,112,321,166,41,234,263,22,8,336,298,51,101,83,370,91,322,369,31,52,269,306,384,329,346,346,357,280,203,218,275,226,80,153,100,268,225,373,52,271,352,258,385,16,308,15,79,212,42,235,315,67,273,136,153,66,312,284,11,356,323,244,87,350,168,268,366,71,58,70,53,78,332,107,29,24,338,43,336,329,26,112,81,175,42,289,141,310,385,164,250,381,111,198,201,261,50,308,107,383,284,140,57,379,84,268,211,0,312,282,229,251,274,286,24,233,332,357,172,159,261,243,127,100,18,65,102,370,201,320,3,101,201,258,374,84,370,121,38,3,96,297,261,378,185,158,381,148,287,95,377,234,122,318,237,102,211,350,79,293,274,364,289,224,335,248,148,301,289,124,236,54,107,149,157,207,208,205,267,92,130,144,375,312,312,246,58,153,379,126,28,84,156,146,250,281,265,106,327,204,309,220,366,347,159,110,328,307,362,133,124,153,299,282,383,381,270,53,228,146,121,96,361,356,254,233,29,100,171,85,14,298,303,220,37,132,242,242,154,133,281,336,310,161,288,379,61,219,254,327,137,189,241,20,245,306,31,28,26,369,322,180,113,360,8,24,269,375,213,348,349,295,371,261,111,200,108,214,357,159,174,323,123,135,297,300,49,202,278,181,41,61,209,216,115,122,25,132,328,285,19,187,336,249,351,259,141,144,66,42,118,19,373,326,307,133,19,226,97,56,71,357,89,291,58,145,193,261,95,101,77,55,288,333,56,135,156,120,200,380,172,371,375,134,206,362,295,77,40,243,72,95,203,89,312,73,133,263,265,79,87,127,282,93,238,160,131,308,277,196,131,352,349,341,360,363,57,247,167,75,173,68,171,330,135,241,382,137,275,137,379,170,86,71,120,208,70,201,33,93,303,362,34,189,177,76,292,184,139,9,260,366,194,61,160,215,231,263,15,186,361,363,194,265,346,128,314,336,159,172,41,188,301,155,223,105,8,256,131,229,20,316,7,327,304,25,237,190,37,331,37,219,273,208,101,227,181,199,342,371,361,4}

{12,341,361,240,228,183,10,1,208,33,60,353,364,117,72,35,109,292,384,324,343,130,333,343,91,302,372,284,310,346,172,362,273,349,86,259,53,219,26,270,23,208,372,361,225,141,334,194,206,284,357,37,311,138,188,229,247,86,338,369,106,229,142,330,304,225,3,53,206,150,303,295,335,117,130,194,100,63,96,38,85,19,160,329,318,86,133,347,282,145,342,23,317,327,193,111,169,307,136,171,164,83,235,17,365,365,346,267,133,123,94,229,209,157,257,123,171,212,257,120,37,56,55,80,218,161,261,346,206,208,36,331,278,64,381,209,271,91,66,99,47,363,27,171,111,74,248,47,227,149,249,366,299,285,343,121,99,107,244,244,106,29,267,169,377,261,77,87,11,299,274,216,141,206,363,49,134,235,130,194,31,383,355,44,216,64,243,82,255,286,67,371,324,95,358,109,7,170,85,364,63,261,179,337,23,247,298,170,264,362,289,3,112,196,219,380,350,297,330,152,206,304,126,48,201,300,50,63,255,235,178,341,260,323,272,350,375,261,98,284,98,51,168,198,358,33,89,250,278,296,369,350,248,66,45,184,191,282,29,29,363,340,219,260,348,144,188,59,118,154,118,313,90,225,152,51,141,291,382,110,133,111,83,134,162,334,180,99,64,238,382,217,93,153,22,195,78,371,36,0,318,4,111,310,140,352,69,27,164,340,144,116,263,213,91,212,369,74,109,317,233,275,249,325,317,248,265,45,311,360,263,359,242,146,87,322,15,199,347,168,142,192,264,214,31,348,115,44,179,176,316,158,122,161,188,220,105,378,336,226,193,373,164,256,183,312,229,359,302,130,1,85,47,292,131,175,170,133,4,376,56,374,254,189,103,348,71,286,205,385,179,253,74,69,101,96,179,368,201,385,37,257,230,289,23,265,163,27,83,127,166,284,83,318,20,73,30,303,24,47,74,284,342,239,259,137,310,281,180,48,103,109,236,132,48,4,303,295,262,272,79,290,149,86,337,213,350,376,229,49,307,316,156,385,299,344,367,278,256,60,224,70,331,308,196,249,311,86,341,311,32,125,289,66,18,361,128,51}

{1,1,1,12,1,1,1,1,1,17,1,3,1,1,1,1,1,1,1,1,2,1,9,2,1,3,2,1,1,1,1,1,13,3,1,1,2,1,1,2,1,5,4,1,1,1,1,4,1,1,1,4,1,3,1,1,1,2,17,3,1,47,1,1,4,1,1,1,2,1,1,1,1,1,1,2,9,1,1,2,1,1,1,2,1,1,2,2,18,1,1,1,1,1,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,47,1,1,1,1,1,1,1,11,8,4,1,1,1,1,47,1,1,2,6,1,30,7,9,2,2,1,1,1,1,4,2,1,1,3,1,1,1,2,1,1,1,1,14,1,1,1,2,2,2,1,1,1,2,2,1,1,1,1,1,2,1,2,1,1,1,11,1,2,1,1,1,3,2,1,1,5,3,2,1,1,1,1,7,1,1,28,8,1,1,2,1,1,1,1,2,8,5,1,8,1,1,2,1,1,1,1,1,1,6,1,1,1,1,1,1,1,18,2,2,1,5,2,1,1,2,1,1,1,2,1,1,1,9,1,2,2,15,1,1,1,1,1,9,1,3,3,1,1,8,1,2,3,3,1,2,18,1,9,3,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,1,2,1,4,1,1,4,2,1,1,1,1,1,1,1,1,5,1,1,2,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,2,2,1,1,1,1,2,1,1,4,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,4,1,1,5,1,1,3,1,1,1,1,1,1,1,3,1,1,8,1,2,2,1,14,12,2,1,4,1,2,1,4,1,2,1,1,1,1,4,1,1,1,1,1,2,3,1,4,2,1,2,1,2,3,2,2,2,8,1,1,1,3,1,1,1,3,1,3,1,2,1,1,1,1,1,1,1,1,61,1,1,1,1,9,2,1,1,1,1,1,1,3,3,2,4,1,1,1,2,1,1,4,1,1,2,4,1,2,1,2,1,2,1,2,2,1,2,2,1,3,1,1,1,1,1}

{462,777,6732,504,2881,1850,4209,4899,3960,51,3854,240,3410,553,1968,1550,3233,4218,1520,1504,364,3337,216,504,1067,690,660,1775,3082,150,1809,11,156,117,4672,3655,2214,582,247,360,1425,600,308,6435,1598,3102,1245,612,1242,2059,2268,168,5254,1710,340,4230,1064,1088,85,180,2162,47,74,3392,120,6248,2635,6970,1404,2745,1305,110,1027,5609,4331,1564,324,6408,6958,2604,552,6972,3115,1224,2821,3904,2952,442,270,5106,5642,1482,221,8170,759,4824,897,57,2340,4950,220,72,4136,268,5865,759,1200,2772,4824,1007,3036,94,6324,1551,552,1786,7029,4160,56,264,96,672,238,2047,5214,3618,94,2775,4482,1960,546,1264,180,84,297,204,4230,396,660,3321,297,1064,1914,6633,4623,297,1105,506,3657,1326,989,8544,2412,1550,84,5270,2911,1518,3384,2520,690,6461,2772,3657,940,1786,3478,4606,5063,3276,7138,2030,658,1674,2072,5162,1079,440,5112,1972,949,1222,4134,1950,2520,1869,2628,880,1242,3822,2805,2210,1880,1406,252,5185,1420,56,88,4345,7031,1880,589,1653,627,3080,870,672,50,25,144,4080,4674,230,570,5655,5518,1870,4717,2346,54,1992,3135,3,69,2952,8277,2581,108,2376,2726,3663,150,1476,387,1550,2728,6674,8514,3266,3354,1975,6279,4293,693,408,2100,240,180,2295,72,5890,39,165,63,72,336,1242,6097,6097,616,1122,300,150,78,2660,44,180,306,45,288,582,5037,4118,897,225,1833,2150,3157,5810,6984,5226,54,1144,792,249,1677,82,1365,1692,5159,8,5133,203,504,222,130,2340,798,3916,2002,3772,3886,5829,780,1311,2964,3300,748,1190,532,6059,792,2280,627,1600,747,1566,4209,299,5846,645,1081,448,715,260,738,5229,3330,1330,72,3384,249,900,3136,1248,7029,56,1428,3450,62,1850,165,658,2774,138,2812,1326,1672,1431,352,3124,4150,5896,8,7395,108,910,6072,468,594,90,22,2664,111,2844,2256,1786,990,5964,5451,16,792,2664,3116,1850,392,72,2484,3480,288,1505,2964,1692,1104,30,1292,1862,1443,3145,1330,1288,189,3192,1610,852,969,2108,2277,4505,88,136,3542,792,285,902,528,1848,64,204,352,2840,122,6279,765,1392,1710,45,1794,396,837,4686,2294,84,3182,154,5025,4272,2924,300,3220,61,3577,6840,141,3220,495,56,884,738,2775,2790,7566,4416,114,216,1612,40,3525,5278,58,44,4850,6120,684,3290,1170,660,360,7790,696,671,688,188,40,368,296,192,1924,1480,1564,4929,1656,440,1674,6435,6138,2300}

Returns: "Solution does not exist"
478

{278,227,54,441,388,191,249,466,210,262,50,418,347,406,24,168,76,193,472,86,170,346,194,113,260,74,384,459,232,237,382,156,54,256,201,102,165,183,215,145,474,68,99,232,76,120,225,47,26,421,240,275,304,29,270,413,226,50,299,461,457,264,437,281,146,31,101,88,66,236,257,298,185,233,170,444,121,62,462,403,379,381,28,88,114,246,335,199,192,442,11,65,326,106,429,444,390,91,476,141,130,5,392,95,114,267,432,342,232,289,200,19,347,363,409,123,450,242,474,404,205,83,235,224,347,316,319,449,66,152,268,449,315,231,193,434,369,240,231,420,32,463,371,462,445,201,177,108,429,344,324,296,274,15,382,376,208,457,148,280,17,12,250,63,184,90,418,273,24,355,216,395,226,165,391,350,362,450,120,379,107,224,447,67,231,342,424,256,204,339,140,7,0,344,105,126,222,324,427,83,195,467}

{290,106,37,451,286,227,18,423,347,463,14,394,27,282,178,113,170,165,433,198,314,247,454,462,361,128,415,263,343,301,36,194,75,431,447,52,324,204,75,11,242,343,446,301,190,62,221,119,150,274,277,131,159,156,350,328,21,370,471,55,73,389,223,18,314,286,188,470,289,477,375,201,359,169,179,263,427,36,443,419,106,55,465,232,427,373,269,364,468,226,285,476,459,259,293,236,223,441,76,415,224,222,220,137,401,77,136,218,49,80,473,1,176,131,446,186,221,140,271,44,249,163,318,50,235,332,102,116,56,415,201,117,469,82,268,101,201,22,103,454,244,467,16,375,466,248,112,122,475,430,124,195,220,150,211,348,80,153,164,15,199,21,425,463,162,401,86,294,153,89,262,432,110,66,84,52,209,74,397,416,344,170,418,289,313,125,423,371,161,142,123,205,429,375,311,34,386,175,66,205,41,282}

{4,1,1,3,4,1,2,1,1,3,1,1,1,1,1,2,1,2,6,1,1,3,1,1,1,2,3,3,1,1,1,1,1,1,1,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,2,1,1,2,1,1,55,4,1,10,1,6,16,1,1,3,1,3,1,1,3,1,1,1,1,2,1,2,2,13,1,1,1,1,2,2,1,1,1,1,1,1,1,20,9,1,1,1,7,1,1,1,2,2,5,8,1,1,32,1,4,1,1,3,1,2,1,1,1,1,1,1,2,1,7,1,1,81,6,1,8,1,1,14,1,1,1,5,1,1,5,7,2,1,1,1,1,27,1,1,1,1,1,11,1,3,1,1,1,4,2,1,1,3,1,3,1,1,1,11,1,1,14,13,2,1,1,1,5,7,1,5,1,1,1,16,2,1,1,1,1,1,1,1,1,1,1}

{12,546,369,66,380,1365,24,2655,370,414,1809,3034,1073,5035,576,168,8900,1860,468,6120,2670,3,3304,1358,74,840,126,198,5986,18,8439,3192,2829,4399,190,1591,1020,3504,1311,1050,819,7081,4158,738,9100,3822,3763,238,2910,1971,414,2976,6636,4503,425,1470,798,513,14,4095,3096,55,1292,26,120,20,792,48,4895,1886,585,3895,2001,1482,5963,198,1404,8526,4559,2318,658,3913,60,656,364,533,1696,5124,1288,672,924,6640,2145,938,172,1518,3724,759,400,189,213,1065,837,910,5642,6305,7275,1634,1394,825,480,1026,2331,192,3619,1680,2968,2912,18,158,456,2607,7469,1917,2849,82,2146,3036,2047,504,8645,5874,81,546,5642,288,6555,288,210,5723,366,1494,95,4365,3870,1710,35,1216,731,1666,4233,7154,27,930,2425,66,2400,516,220,1767,2436,1862,1025,882,44,434,3485,4928,36,1411,2070,5141,2562,5340,693,1075,666,168,78,1692,1088,6319,410,440,546,5590,3009,7885,3723,6450,160,494,4085,765,4183,4485,1110,408,4628,3002,3038,4399}

Returns: "Solution does not exist"
343

{295,291,5,0,187,280,284,53,290,333,228,200,129,44,223,162,43,307,120,237,280,131,267,247,265,322,32,20,242,258,282,189,130,251,241,4,307,201,248,18,56,65,65,12,187,146,247,273,71,143,83,165,58,272,278,209,192,74,172,278,163,242,196,76,195,137,261,244,322,218,119,170,327,126,249,293,19,146,304,187,5,300,160,326,171,231,178,312,109,94,292,44,287,99,296,316,166,11,42,168,222,279,207,53,235,9,210,288,120,317,340,91,331,274,129,291,246,98,237,218,160,18,149,79,223,243,148,185,147,13,168,177,144,252,33,295,45,200,8,218,243,164,39,273,103,142,6,235,337,228,303,333,205,269,83,13,187,300,241,252,181,21,89,40,237,108,274,73,103,31,264,175,196,322,34,50,151,108,71,254,256,1,302,320,204,139,172,265,290,339,140,320,7,176,45,340,114,59,107,199,146,149,8,36,73,115,9,215,34,90,341,182,213,116,218,266,224,75,69,146,221,170,13,296,193,36,13,182,288,235,25,34,201,230,43,76,189,339,95,107,75,110,67,274,205,137,184,152,203,216,34,51,115,23,89,302,317,223,234,287,7,161,236,46,167,233,63,148,293,340,295,335,338,244,296,43,260,76,2,66,23,299,64,319,5,233,34,244,240,317,158,287,311,312,202,258,44,19,208,25,36,44,236,239,301,13,278,248,30,182,123,14,333,142,237,157,2,1,236,85,247,253,185,56,287,212,315,293,282,209,333,86,175,330,106,245,186,178,190,219,71,125,54,57,328,170,46,247,321,164,17,235,17,93,315,254,105,335,38,15,13,159,234,82,199,119,34,60,159,259,336,53,194,155,43,130,39,94,300,68,267,132,312,179,159,263,230,202,46,265,235,28,334,291,71,181,105,207,269,120,332,23,85,291,101,109,34,124,312,195,311,282,301,224,225,228,331,325,119,270,163,276,130,146,65,119,306,271,240,229,212,213,78,57,68,311,212,169,196}

{191,228,196,231,141,40,307,271,8,248,30,305,66,217,234,159,233,153,128,76,149,15,199,151,31,28,242,287,21,125,65,50,162,235,38,140,340,335,225,328,38,46,167,180,69,180,208,44,257,40,99,37,325,290,31,101,166,126,252,141,56,336,22,246,101,294,28,285,254,176,224,16,339,207,217,16,47,19,311,130,2,29,210,264,270,241,136,7,14,62,220,95,309,319,146,71,101,83,233,98,29,18,244,66,196,105,332,333,47,85,17,178,49,262,147,308,46,256,69,55,30,38,54,285,80,201,53,274,176,187,278,280,29,257,280,100,49,64,195,200,171,310,273,236,164,277,203,144,22,190,289,12,90,177,288,62,119,217,126,339,237,102,255,81,242,155,110,186,30,165,302,275,79,201,26,66,83,215,40,10,259,112,193,225,285,157,325,89,65,15,323,330,299,274,128,224,1,270,76,290,235,48,175,337,240,212,65,220,283,118,133,64,258,12,262,277,327,259,151,58,144,334,157,255,295,201,151,118,118,208,297,296,315,296,126,197,152,12,205,322,130,128,168,19,264,167,29,11,149,2,222,268,339,112,91,19,239,305,129,144,317,182,268,9,321,45,21,296,103,56,342,214,263,286,232,215,280,40,342,223,310,195,20,250,211,110,2,294,42,266,131,55,11,325,247,321,271,222,173,287,93,171,132,24,72,230,33,21,230,67,49,48,55,10,160,142,64,296,11,298,62,164,307,48,298,142,276,30,215,123,286,266,249,311,180,304,34,2,23,282,278,238,157,121,105,235,286,322,146,37,316,16,48,183,62,241,89,131,88,210,147,334,149,47,252,141,143,311,180,248,49,205,166,121,262,70,43,326,82,74,192,191,63,17,241,48,146,274,299,69,300,324,330,151,253,184,279,76,256,165,160,218,110,57,230,177,238,327,243,289,304,278,104,16,239,243,180,334,202,155,117,294,208,215,13,263,11,91,232,161,81,202,66,58,235,218,317,287,236}

{4,1,1,1,1,1,1,1,38,1,1,1,1,22,5,1,1,1,1,1,2,1,3,1,1,6,1,2,2,19,48,1,2,1,1,1,1,3,1,1,1,1,8,1,1,1,1,4,1,1,5,1,2,1,1,1,1,5,2,1,95,2,1,1,1,1,6,1,3,2,2,1,1,2,2,2,1,1,1,1,6,1,1,1,1,1,1,1,8,4,30,1,2,1,1,2,1,1,1,1,1,3,1,58,1,1,2,1,11,30,1,1,1,3,1,1,1,1,2,10,1,1,2,2,5,1,2,2,1,1,1,1,1,1,2,2,10,1,2,1,1,2,1,1,6,5,1,3,1,1,1,1,1,3,1,1,1,3,1,2,3,1,6,5,4,2,1,2,2,3,1,2,1,3,1,1,1,1,1,3,1,1,1,1,10,1,2,1,4,2,1,3,1,2,2,2,5,2,1,1,1,1,2,1,1,1,1,1,6,1,14,2,4,1,1,5,1,5,1,1,3,1,1,2,1,1,1,5,1,3,1,2,3,1,2,1,2,1,1,1,2,1,1,1,1,8,1,1,1,21,1,4,2,2,2,1,2,13,1,3,1,1,1,1,1,5,2,2,12,1,1,1,2,1,2,1,1,1,3,1,4,1,2,2,1,5,42,1,1,5,1,2,1,1,5,1,1,1,9,2,1,1,1,2,1,1,2,2,1,1,2,1,1,1,1,1,2,1,1,60,4,6,1,1,6,5,9,2,1,2,1,1,4,1,1,1,4,1,1,2,2,5,3,2,2,1,1,8,1,1,1,2,3,2,36,1,2,1,13,2,1,1,1,2,1,1,3,1,1,5,2,2,2,8,1,1,23,4,1,5,9,1,5,1,1,1,1,1,1,1,3,6,10,1,2,1,4,1,1,5,1,2,5,1,1,1,3,3,5,1,1,4,3,2,1,1,1,8,1,2,1,1,1,1,1,2,1,1,1,1,5,7,2,2,3,1,5,2,1}

{16,47,2124,1095,3403,3230,7178,2146,76,4230,4606,793,5278,132,715,4042,230,5432,5060,516,1406,170,63,3320,6141,936,44,1188,1012,380,48,4686,2632,2184,2158,5590,776,546,1530,3774,2470,3504,528,231,3154,3,3240,704,5418,4845,450,2115,2024,2204,4692,4370,8118,100,1886,2788,95,1364,3009,1763,6840,5976,1092,130,2232,430,3354,3050,4836,220,924,900,3498,53,5621,4648,252,777,3108,1952,2254,1245,795,295,56,180,90,2948,1512,50,38,2150,7790,90,210,3237,1147,204,286,58,1416,740,1596,1927,330,180,72,1696,30,36,3731,92,2993,2613,228,40,3626,1326,444,430,390,3900,174,396,3526,3071,5644,1710,111,2898,1786,92,150,3782,1368,610,4900,1404,4416,704,216,1050,5355,24,102,3901,522,3619,1598,90,3690,1332,6474,462,1660,1196,204,4462,462,850,132,800,180,616,1176,1035,3050,1044,5074,936,1092,4118,7470,950,7310,1767,335,390,2950,561,50,9306,3608,5874,912,52,3870,990,5015,1548,2300,344,1300,2300,559,228,24,222,684,22,1106,4070,1776,570,84,425,210,2170,1596,1463,30,975,7998,30,3154,46,57,4880,3663,798,236,429,3071,350,1025,648,3480,1596,936,2546,460,43,2442,4004,6298,936,840,460,5727,1908,5734,792,3256,74,4662,42,2604,1600,1924,276,1056,2650,360,65,5005,54,5310,5110,704,2701,2728,50,1840,114,72,760,276,1302,644,715,1368,874,1710,3655,966,3770,1196,6120,1364,34,3420,5,84,1079,3318,1170,510,1080,73,440,280,2356,1628,1643,810,1080,638,2156,561,200,8118,2479,3196,2070,6566,4830,1110,24,1880,3990,444,6930,1302,2470,11,60,360,270,2134,285,540,770,360,1764,912,1702,2585,1170,252,6570,246,5467,1848,2226,7636,1200,2924,855,396,280,740,1464,4015,360,31,2538,450,600,9,870,72,7719,660,3570,78,84,1517,3440,4070,2508,138,3198,1596,3212,129,90,930,2726,738,32,138,1624,138,160,1596,75,693,816,80,522,3569,84,67,1260,6205,3382,168,1248,720,83,1290,4488,60,946,402,495,1406,460,60,70,6365,2520,1260,1023,100,2088,5621,816,99,2150,136,4700,3,880,2730,736,5130,3735,4536,19,1776,1092,11,1184,5688,3942,550,420,522,1610,120,730,990,1026,649}

Returns: "Solution exists"
421

{6,224,306,327,412,224,146,214,188,152,262,1,101,282,121,106,37,65,72,361,202,57,392,385,275,177,404,231,20,71,388,389,324,166,180,28,136,394,87,215,158,181,104,31,118,173,36,191,330,167,99,130,367,261,397,127,31,172,101,130,115,15,63,41,134,304,297,272,185,123,48,260,416,123,309,273,277,182,80,182,283,3,413,127,265,404,376,403,413,246,374,412,75,239,342,364,184,56,313,280,280,158,278,128,296,229,312,149,85,134,211,126,64,25,90,258,24,228,348,131,247,280,12,62,230,58,185,337,412,65,131,220,182,15,7,122,149,11,78,169,344,377,215,250,224,296,418,392,87,6,229,159,357,258,81,63,241,296,409,27,231,168,318,156,316,88,395,20,152,209,377,318,278,316,399,321,90,6,124,365,302,253,319,108,410,63,213,241,369,199,254,99,142,168,285,255,371,35,182,196,164,406,188,192,269,231,197,357,214,342,214,185,128,330,322,404,390,31,142,387,346,309,187,197,398,322,250,89,1,178,108,8,361,10,353,198,244,14,339,264,343,212,397,110,256,52,48,316,383,43,411,328,11,292,10,215,168,362,43,247,159,36,175,109,252,287,273,284,233,17,117,59,116,382,206,9,147,390,394,342,23,86,192,135,358,201,329,80,128}

{44,158,409,82,76,133,74,26,55,344,404,295,252,14,362,338,49,256,52,304,320,134,56,127,217,185,303,118,300,215,236,250,225,350,190,303,312,77,67,259,124,118,271,218,86,192,229,285,264,380,13,185,418,411,311,328,166,103,246,214,7,308,417,248,57,253,136,275,149,292,34,38,300,277,401,362,25,196,58,232,400,200,359,342,130,390,400,290,403,123,162,155,303,20,258,55,110,284,84,231,63,156,2,310,338,72,169,283,10,271,113,172,239,188,282,5,408,133,403,382,381,41,107,182,199,354,216,275,355,267,401,227,285,66,314,164,306,405,246,416,158,139,132,341,366,148,128,198,202,160,154,374,365,109,246,11,216,171,363,215,379,199,363,4,29,173,367,124,308,386,146,386,60,49,29,29,281,60,350,13,323,44,85,145,368,124,146,372,348,192,312,411,15,393,266,391,18,33,82,262,63,146,190,138,255,72,313,383,358,290,384,189,281,92,380,378,93,407,319,210,275,121,417,309,392,76,17,357,236,286,328,262,95,410,104,140,192,176,406,414,238,328,400,311,46,89,277,39,46,263,404,47,411,188,293,374,290,122,123,381,74,68,45,122,403,114,278,406,130,291,257,217,296,118,46,136,41,413,313,371,349,14,72,227,84,98,9,404,67}

{1,1,1,1,5,1,2,8,3,1,2,7,2,1,1,19,15,1,4,1,12,1,1,1,6,2,2,1,1,1,2,1,1,1,1,1,1,2,1,1,1,3,1,2,3,2,1,1,11,1,1,1,2,1,3,1,2,5,1,1,3,1,1,1,1,3,1,2,2,1,3,1,1,1,1,3,2,1,3,1,11,6,1,1,1,11,1,1,17,1,18,1,2,1,1,3,2,3,2,1,7,1,1,2,2,1,1,1,1,1,1,2,1,3,1,5,7,1,1,2,1,1,2,1,2,1,2,12,1,6,1,1,1,7,2,2,1,1,1,1,1,1,1,1,3,2,2,1,3,4,1,1,21,1,1,1,2,2,1,1,1,2,1,1,2,1,1,1,1,1,4,2,1,1,10,1,2,1,1,3,1,1,1,1,3,1,1,1,1,2,1,5,1,2,1,2,1,6,1,4,3,4,1,1,1,1,1,1,1,1,14,2,2,1,1,2,5,98,2,4,1,4,1,1,7,1,1,1,2,2,1,1,1,3,1,1,1,1,1,1,14,1,2,1,1,2,1,4,2,1,1,1,1,1,2,1,2,1,1,1,5,2,2,1,1,1,1,1,1,3,1,2,2,1,2,4,1,1,74,1,1,1,2,2,1,1,1,1,2}

{5840,273,600,3337,95,255,800,616,33,344,44,182,1480,7735,2400,38,75,594,220,4941,672,1763,5544,1505,72,2352,682,201,35,3195,975,2093,744,2622,3479,4526,212,740,924,1988,1547,48,1634,4704,84,2236,222,2442,22,1139,585,5782,612,5925,1134,688,2254,30,3478,3304,420,581,1554,6365,1763,1539,292,2232,1862,2077,378,7315,20,670,1220,900,60,376,522,3149,220,672,2414,559,1357,110,1012,4692,102,3149,360,40,682,182,780,75,3268,1800,3182,5159,231,6643,3465,3608,1102,60,3763,2090,8736,1558,325,230,1586,132,3458,420,1092,935,4539,1360,682,5159,2812,611,156,1278,490,504,80,702,2074,2976,3478,21,420,1260,950,806,2162,284,3913,6636,2272,207,69,1334,738,308,1056,1360,255,3960,21,4260,2585,273,380,2204,2136,2982,2345,858,6942,803,460,4628,4828,119,664,2450,672,3822,4565,6900,80,490,380,6640,969,63,1020,4161,4550,1880,522,357,608,6308,1068,3354,1060,975,84,1012,1110,1376,5418,390,3337,8,630,224,2343,4214,946,1340,2442,546,2632,1196,168,3724,820,770,1541,858,440,98,300,60,5112,160,6438,660,770,2185,1380,1974,56,2068,752,76,4514,2784,602,308,6966,510,2604,550,84,400,924,6156,748,2068,210,1104,884,2419,1650,816,24,1023,3552,5112,1012,2100,3953,682,550,1702,390,1988,2040,1067,1980,2100,4071,1860,2623,174,2320,240,1020,84,6499,1870,74,1118,4505,7140,860,96,4042,1340,4452,1914,1148}

Returns: "Solution does not exist"
469

{60,97,27,272,441,265,209,314,84,327,322,51,372,2,281,303,358,60,266,155,447,92,20,31,371,226,205,139,338,389,452,129,284,310,120,451,371,127,96,135,332,72,182,462,59,239,112,276,420,267,410,466,254,201,28,250,91,331,238,306,25,56,49,317,308,221,290,280,315,202,149,23,15,363,290,328,437,173,264,444,264,233,375,185,329,198,253,64,307,461,60,391,395,391,156,403,440,356,23,89,190,311,343,133,192,379,10,384,363,92,115,432,355,293,335,392,342,186,10,195,14,297,66,0,114,370,88,104,427,393,58,361,7,242,398,183,16,141,17,175,191,251,75,300,314,0,372,37,177,296,177,173,398,141,337,181,163,408,412,172,44,105,289,204,215,408,288,329,199,112,81,375,307,285,240,19,136,160,192,200,379,160,71,433,170,330,392,137,271,135,444,42,163,452,173,40,232,129,139,352,364,314,0,466,5,388,366,182,317,200,409,237,300,194,444,445,46,106,251,445,420,310,280,465,29,208,72,385,163,226,457,345,287,271,14,307,139,379,141,411,39,51,135,291,79,215,269,114,428,209,370,308,276,33,238,220,389,51,380,253,425,80,369,26,56,128,329,320,188,453,258,239,206,18,45,188,69,107,238,315,405,7,300,240,6,188,351,245,143,99,460,159,60,42,35,20,325,286,370,238,352,244,345,165,406,90,191,193,408,95,258,79,254,179,89,445,91,280,466,196,37,436,300,57,18,370,333,108,245}

{8,399,272,77,244,129,184,119,89,451,215,297,417,316,407,61,406,400,194,89,169,64,135,297,290,262,31,92,39,154,219,302,5,168,221,393,131,56,133,423,213,423,242,337,373,309,195,189,32,443,54,159,70,357,158,218,14,447,167,293,135,121,433,343,265,390,447,400,108,459,429,80,34,373,465,437,226,111,433,128,36,108,429,55,44,36,319,213,350,76,190,109,159,104,278,462,47,122,269,25,110,408,375,374,410,140,46,82,350,106,391,193,367,76,41,326,433,203,15,376,215,268,73,58,234,301,183,192,274,387,159,282,228,351,240,400,9,61,240,417,147,117,60,197,351,122,211,331,76,243,329,23,186,236,166,344,43,222,419,33,206,243,248,220,115,233,266,441,159,160,272,50,116,58,180,392,408,177,191,278,254,259,313,247,119,98,36,79,242,61,68,113,422,183,74,326,208,34,254,60,341,307,334,249,130,158,334,185,269,359,82,462,339,449,396,301,185,4,34,403,46,330,341,402,464,326,297,116,96,231,38,134,192,400,58,375,91,332,261,359,10,70,420,214,15,225,222,341,114,197,195,22,109,162,257,150,96,164,330,15,341,333,232,102,133,434,290,352,60,403,14,260,240,20,242,114,125,69,219,152,265,235,462,361,54,129,150,266,268,224,21,131,65,350,264,28,82,185,132,71,285,347,271,139,31,78,272,22,9,395,440,358,243,298,340,246,191,366,447,408,214,61,188,421,171,135,280,164,116}

{1,1,1,7,1,6,2,1,9,2,1,3,2,18,1,20,2,1,2,18,1,1,1,1,5,1,1,1,1,1,2,1,1,1,2,3,1,1,1,1,1,3,1,1,1,1,3,1,1,2,2,1,2,1,1,1,14,1,3,1,1,1,1,1,3,1,2,1,1,1,1,9,2,2,1,1,1,4,2,1,6,1,1,12,2,66,3,1,1,98,17,1,2,2,1,2,5,1,1,1,1,1,1,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,14,9,1,8,1,1,1,1,1,3,2,2,3,1,1,1,1,1,8,1,33,1,1,76,1,1,1,1,2,1,2,3,25,1,1,2,49,1,4,1,1,1,1,1,1,1,2,18,2,4,7,2,1,1,2,1,1,4,3,1,2,1,1,1,1,1,1,1,1,1,1,1,2,4,1,1,6,2,1,5,1,1,1,1,21,5,1,1,1,1,1,1,1,4,2,5,2,1,1,1,1,1,1,1,2,2,9,7,1,2,3,1,1,1,2,1,1,2,1,1,1,1,1,1,2,2,1,1,1,2,3,3,1,1,2,2,1,1,5,2,1,1,6,2,3,1,18,1,1,2,2,8,1,1,1,1,2,2,6,1,6,15,2,2,1,1,3,2,8,1,1,1,1,5,3,1,1,1,3,1,1,1,7,1,1,1,1,6,1,1,80,2,4,3,6,1,1,1,1,1,2,1,1,2,1,1,1,1,3}

{2210,3366,6461,455,6030,6,1104,175,378,1632,4648,459,1728,90,2914,240,2900,8245,2208,216,1242,3283,105,1161,450,1552,4128,931,4760,837,300,114,6972,8300,16,2784,575,3813,5976,357,564,1071,7663,4270,1558,1512,792,333,1121,2870,120,1770,304,7700,1600,858,84,3358,2436,663,385,2139,702,2520,90,154,2070,9603,3792,2450,744,297,410,1292,6930,975,208,480,312,9900,264,1027,4278,72,288,66,1800,3149,2255,98,85,26,330,728,760,3010,240,6142,1881,2970,1411,2635,2898,72,930,4042,570,387,3740,1176,1898,342,962,3822,352,472,1482,525,4674,3135,168,216,3294,48,267,270,732,5208,2805,2001,120,322,90,4029,2200,1164,3298,4620,792,378,66,8455,255,76,357,3984,2368,3650,4312,2324,792,1980,25,2079,2806,602,98,3038,1344,3234,2208,1148,9021,6014,4088,403,138,90,1140,504,364,874,2583,584,3256,1239,465,616,1023,3320,688,2492,2537,130,1675,7990,3894,306,553,420,3900,60,980,300,1140,168,48,30,304,595,400,287,912,2183,252,100,779,6984,760,1162,2021,5530,6308,672,3900,190,360,1608,890,8170,590,7055,2475,4697,110,24,189,315,8134,592,2208,4550,6510,679,168,1886,532,516,693,1134,3192,1938,413,756,738,56,1862,75,276,1748,297,1440,37,1078,420,1302,2241,663,1530,2952,1725,2457,528,858,2232,6435,90,280,7565,860,1680,112,6072,1020,5214,267,1292,2924,84,624,96,90,2660,616,696,534,714,2208,288,8554,360,690,170,660,216,960,2150,936,513,4956,2555,3216,91,1330,4300,6164,3003,288,1054,1738,80,522,112,150,270,190,924,4059,2714,124,700,5820,6764,946,2788,189,9009,1027,2016}

Returns: "Solution exists"
63

{34,26,17,6,12,22,11,37,12,58,38,23,41,54,28,59,17,51,12,30,0,28,46,58,18,25,12,34,31,61,41,17,26,60,13,47,1,44,10,16,3,57,39,47,39,25,36,59,57,58,52,29,29,30,14,29,35,29,43,10,28,10,41,39,35,11,36,34,50,44,55,29}

{48,32,32,14,61,58,8,49,56,28,47,4,43,4,52,20,5,55,17,0,13,19,10,15,0,14,6,16,37,6,52,27,48,47,23,10,52,39,14,1,34,18,51,16,55,45,8,60,48,42,21,54,9,14,34,26,42,14,28,25,7,32,61,20,16,17,56,30,48,19,53,49}

{1,31,1,1,1,2,1,1,1,16,5,1,5,1,32,1,1,1,1,2,2,4,1,10,4,1,1,1,1,1,2,1,1,5,1,15,1,3,15,1,1,1,1,2,1,1,1,1,1,4,4,1,1,6,1,93,1,3,1,1,2,1,1,1,1,1,16,1,1,12,1,3}

{1975,186,6014,2820,4453,560,126,1464,5840,160,450,1450,350,2150,64,5840,388,1577,7081,2052,3268,288,4200,720,1064,4620,3431,6478,4941,2867,2240,582,2325,630,2494,450,5824,84,300,7462,1264,616,1743,3690,399,1540,112,2555,275,1520,704,3999,5673,540,4740,93,5092,1860,800,5775,608,4650,4270,1680,5494,1746,80,4266,36,650,494,744}

Returns: "Solution does not exist"
289

{120,20,167,58,148,161,23,34,33,265,31,263,45,16,6,0,175,188,234,131,109,135,28,237,198,151,213,274,225,35}

{288,182,188,189,197,286,209,158,73,257,268,120,122,213,31,189,13,181,127,221,186,145,50,160,58,186,135,19,191,95}

{2,1,1,2,1,1,1,1,3,48,1,2,1,31,3,7,4,1,1,1,1,7,1,1,1,4,1,1,1,1}

{828,2201,5044,924,1972,3720,3564,4277,1071,96,2937,598,3480,31,759,924,84,6014,4070,360,2924,196,2300,2860,1562,68,868,2550,1416,5475}

Returns: "Solution exists"
163

{100,134,40,116,110,107,79,72,73,4,95,62,26,119,146,18,151,17,13,81,36,73,96,73,79,18,2,63,6,49,106,53,95,64,20,93,79,16,41,150,104,141,126,136,148,54,108,115,45,8,161,58,80,13,78,99,70,33,108,142,36,64,108,29,83,82,98,137,20,17,116,124,70,27,128,71,48,39,119,79,134,75,52,130,30,157,117,70,7,0,118,4,79,124,75,142,80,118,149,87,69,97,132,40,97,14,70,137,144,2,122,55,142,34,86,7,75,27,98,80,42,158,47,119,97,26,159,86,15,19,120,12,130,159,21,19,35,57,6,22,104,101,148,118,43,103,90,142,150,66,147,130,84,17,153,44,142,142,106,144,56,39,53,79,23,14,114,123,12,28,82,153,11,100,131,91,44,87,144,86,117,126,145,150,123,132,127,99,160,107,52,11,133,41,69,42,127,57,11,148,49,41,25,60,33,1,101,41,121,45,84,108,70,152,58,150,66,7,67,5,34,126,77,124,99,108,32,61,103,110,39,145,102,132,130,1,79,50,7,125,159,109,147,101,40,2,95,52,68,50,154,68,53,1,154,24,41}

{79,121,45,85,79,140,31,102,65,111,81,29,73,86,72,24,155,162,159,48,72,68,156,146,47,74,142,36,16,159,61,75,119,117,9,113,104,67,50,124,72,144,83,104,62,31,148,99,14,21,23,118,65,102,76,68,50,69,62,5,24,107,21,128,97,160,109,97,28,52,67,20,104,16,45,11,94,76,146,45,24,98,131,59,133,49,138,25,64,87,130,54,24,25,140,58,141,129,82,46,64,151,59,134,145,126,50,98,88,137,70,63,37,156,82,81,50,0,42,76,116,80,145,90,136,18,135,114,147,150,58,48,36,161,99,76,112,128,85,155,48,35,6,108,143,23,59,154,8,131,50,34,155,60,139,93,77,129,139,117,73,98,99,118,0,147,2,23,146,78,67,42,45,14,127,54,27,122,156,153,98,40,31,120,44,136,68,139,132,136,24,154,141,98,10,7,102,71,0,75,2,125,151,34,82,59,17,18,105,114,62,54,15,72,82,141,62,8,126,43,7,77,90,58,150,29,17,51,71,149,80,87,148,1,92,153,73,85,23,44,63,93,35,67,29,155,79,4,73,92,107,41,158,64,50,70,155}

{15,2,1,1,1,1,1,1,2,1,6,1,1,1,1,1,2,1,1,6,1,1,2,1,1,1,2,1,1,2,2,1,1,1,1,1,5,1,1,1,5,2,5,8,2,1,1,4,1,1,1,2,2,1,1,1,1,13,1,2,1,3,1,1,1,2,1,1,1,1,7,1,1,1,1,1,13,1,1,1,1,1,30,2,1,1,4,1,1,1,2,1,1,4,4,2,94,42,6,1,1,1,2,4,1,1,1,1,1,1,1,1,2,3,2,5,1,18,1,1,1,2,1,1,1,23,2,1,1,1,4,6,8,18,1,1,1,4,1,3,2,1,10,1,2,1,5,2,1,4,1,1,22,1,1,1,1,14,1,4,1,1,1,3,1,1,1,1,1,1,3,1,1,1,4,1,9,1,8,1,1,1,1,1,7,2,1,1,2,3,1,3,1,1,13,1,1,1,3,2,4,1,4,3,2,1,1,2,1,1,2,1,1,5,2,1,2,1,1,2,1,5,5,8,1,1,1,1,1,26,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,2,3,5,1,1,3,1,1,3,1,1,6}

{75,444,272,2044,390,2964,915,2805,962,800,630,702,1794,166,5335,2162,2112,1846,4230,1170,3960,26,456,2522,1290,3082,28,2232,830,3060,94,68,3486,4212,987,2231,240,1743,900,2728,880,2632,425,240,130,1708,790,1848,1037,2067,1098,168,3478,2397,93,88,1275,130,2054,350,3384,1539,4187,2052,1525,882,3225,3233,273,6390,84,1848,4080,1494,1292,1185,546,465,8051,255,564,172,180,40,4361,3604,936,1020,2025,2844,168,700,705,440,52,56,94,42,234,3239,5265,3904,410,48,3843,5185,1275,2279,4200,212,2499,1395,420,648,18,450,100,36,989,8742,644,3102,5418,2905,1464,138,1440,190,44,1426,24,156,72,90,4664,4278,94,1596,730,462,3120,130,10,3318,1798,3355,70,126,1209,1140,275,648,264,1065,1971,6111,350,42,6862,728,1326,215,1496,210,2196,671,380,854,1164,13,126,621,255,4575,840,700,126,3871,168,54,2236,1360,3843,372,126,984,56,6424,4018,456,4230,90,8366,1548,130,575,2856,6636,180,20,68,2412,320,405,234,30,4615,828,7326,1615,1144,2212,204,715,72,2914,988,975,1785,1550,2025,425,175,88,2728,2133,71,182,4345,78,470,4977,510,246,568,27,390,1825,1525,4221,2790,7275,22,1365,432,132,210,450,26,1775,342,36,1122,81,450,2397,396}

Returns: "Solution exists"
44

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

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

{2,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,7,4,2,4,1,1,1,9,75,1,2,3,1,1,12,1,1,1,1,1,1,1,1,2,12,9,1,1,15,9,1,1,1,1,4,1,1,1,2,1,2,1,2,1,1,1,8,1,1,1,1,1,1,1,6,1,8,9,7,15,18,1,1,8,1,4,1,2,75,2,1,1,1,1,1,1,1,3,1,1,1,1,6,1,1,1,1,1,1,1,5,16,9,4,4,1,1,1,1,7,2,1,1,1,1,1,1,3,1,1,8,7,1,4,1,1,5,1,1,1,1,3,2,9,1,8,3,7,1,12,1,1,1,4,1,1,1,5,1,32,1,1,14,1,4,1,3,2,1,1,1,1,1,1,6,2,1,1,3,1,1,1,15,6,2,15,1,3,9,1,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,15,1,5,1,1,1,1,1,1,3,1,1,1,4,2,1,3,1,3,1,1,1,3,1,1,1,1,27,1,1,3,6,1,9,9,7,5,3,2,4,1,3,4,7,2,1,1,2,2,1,4,3,7,1,1,1,1,1,1,1,7,1,1,1,1,4,27,1,5,8,1,1,6,1,1,1,1,1,2,1,1,1,3,1,1,1,4,1,1,1,1,1,1,1,1,12,1,3,1,1,1,1,4,9,1,1,3,13,1,28,1,7,1,1,12,1,8,1,1,14,1,1,1,1,1,1,1,3,3,1,1,4,4,16,1,1,1,1,1,1,2,1,1,1,1,7,21,1,2,3,3,7,1,2,7,9,1,4,1,3,16,1,1,2,1,6,1,1,1,1,1,1,15,1,1,1,3,1,3,1,9,1,8,3,1,2,3,1,1,7,2,1,1,1,1,1,1,1,1,5,1,1,1,2,1,1,1,5}

{144,472,3186,3876,472,3149,2340,2146,2436,696,6240,4425,72,848,513,1136,728,576,1110,336,4012,20,712,378,75,7371,144,1350,2310,5824,672,5005,2115,4914,2556,6675,1947,1888,364,480,252,90,6675,864,90,360,1456,3195,3337,4284,448,2639,528,3363,840,1200,1110,1386,2520,696,3948,1856,96,928,864,295,335,812,5664,616,360,4288,96,405,504,225,108,324,5964,96,1836,32,6734,60,75,1890,2400,3948,4473,4095,3363,1824,504,825,3975,2272,3186,4095,420,1696,7476,2412,5251,5670,6237,2211,45,64,180,224,672,3330,4690,1269,5664,308,3360,4130,4828,4277,405,1749,236,924,4956,1416,96,1092,6230,612,944,2880,75,532,1696,5251,4914,2025,1020,324,870,32,450,1092,4293,72,3060,522,180,448,6552,4277,2655,975,180,96,165,504,420,1888,168,2581,2268,592,893,160,3196,1593,308,1040,180,3360,295,480,1440,6188,1260,2442,90,216,120,150,2124,792,270,4095,288,2436,376,5325,472,728,1456,1696,2639,1136,1998,5964,2030,2436,2112,225,4081,1050,1007,2639,1888,6188,1440,4130,2016,1330,2136,1947,32,2520,236,792,420,855,1692,1551,1416,264,1062,2400,7209,4425,54,5670,1890,630,90,4452,126,252,1092,1050,627,144,504,455,1575,1224,308,2590,4160,1062,1728,2380,4277,544,1425,819,1888,360,2912,1593,1876,4389,4420,252,2124,342,1296,4473,32,81,4189,630,32,160,80,288,268,3060,2730,1260,1305,3360,3975,4615,2310,810,812,2115,1770,672,1121,1998,1728,1504,3922,1820,3710,3763,504,1504,600,2175,5964,1456,6319,68,360,3819,1072,756,455,2124,84,5254,693,3975,4800,504,5369,48,4095,3640,280,1596,4420,4095,1232,1998,3204,1431,495,684,6188,265,672,288,32,4662,5427,1729,4284,4095,1711,252,712,2184,4200,480,616,252,3990,1120,2400,2100,364,1947,2664,910,252,6432,1632,5005,330,64,4183,2592,2590,1652,270,4130,1888,4779,152,1431,455,225,2145,304,2592,1350,957,1440,1836,360,2059,96,1260,1484,560,450,6734,1216,924,148,2030,1363,7371,3003,4189,1416,3127,4779,975,2670,4914,3060,420,2520,2100,1692,975}

Returns: "Solution exists"
326

{82,9,110,252,311,142,124,226,31,167,123,107,43,43,297,77,216,12,102,168,160,135,215,80,154,44,160,322,62,231,132,154,318,98,315,43,209,107,294,0,46,169,79,154,214,296,97,309,251,147,7,228,185,275,116,181,54,203,54,75,44,247,193,256,307,22,135,305,30,143,20,221,196,93,40,63,298,321,148,38,133,281,113,166,302,105,61,111,155,159,110,175,267,109,132,15,108,190,67,200,72,281,206,290,154,261,117,122,83,93,81,41,149,212,59,268,49,33,202,38,128,4,174,264,77,155,201,125,32,233,108,232,5,257,234,75,192,35,193,287,262,81,322,88,219,39,0,254,217,290,256,309,162,263,170,181,198,64,217,223,44,301,127,3,12,27,178,290,204,162,68,91,127,15,81,166,183,121,169,103,210,66,173,49,28,90,268,311,302,262,63,185,22,135,233,178,22,109,200,259,14,311,288,141,37,197,101,44,289,230,226,17,316,246,323,98,82,21,235,166,294,114,217,301,90,42,295,200,39,303}

{28,322,146,282,7,200,189,262,239,226,28,309,159,289,309,168,140,255,245,234,124,29,59,145,118,290,120,163,146,142,165,318,140,314,259,218,271,83,69,322,188,166,176,92,303,150,54,165,293,263,42,195,192,26,108,196,240,133,169,100,155,297,70,64,54,148,25,27,99,191,275,270,28,149,128,318,144,276,258,214,41,239,322,101,129,295,157,69,260,222,50,129,146,214,184,72,134,25,269,144,198,39,50,297,283,141,264,258,121,199,74,275,302,92,208,256,166,224,106,233,23,321,122,180,289,122,154,46,105,177,136,100,273,160,145,169,317,150,277,60,134,322,16,272,172,149,232,184,61,244,160,136,124,291,101,117,200,289,53,268,242,163,20,271,115,195,313,35,118,234,96,124,158,304,31,204,297,170,181,142,141,196,121,296,245,242,295,57,232,107,194,295,85,102,255,136,90,48,83,110,51,55,238,273,260,63,306,152,91,168,102,294,4,16,205,157,310,36,115,30,158,14,313,82,78,46,90,69,0,171}

{1,1,2,1,1,1,1,1,14,1,1,2,13,1,2,1,1,4,2,1,3,15,3,1,1,2,1,1,4,1,2,1,1,2,1,1,1,1,1,3,2,1,11,1,9,1,1,2,2,2,1,3,1,5,1,1,1,5,1,5,13,1,13,1,1,2,1,2,1,1,1,1,1,2,1,2,1,3,2,1,1,1,3,1,1,1,2,2,1,1,2,1,2,1,1,1,1,1,6,1,1,1,1,2,1,1,1,1,1,1,6,1,1,2,1,2,9,47,2,1,2,3,1,7,1,1,1,1,2,1,1,5,1,1,5,1,1,1,1,1,7,3,3,12,2,2,3,1,2,2,15,1,3,2,1,2,1,31,1,2,1,2,1,1,4,1,1,2,1,1,3,1,3,1,2,1,2,9,1,1,2,1,9,1,2,1,1,1,3,1,1,1,1,30,1,1,4,1,1,2,45,1,1,1,1,2,1,1,1,3,1,1,1,1,1,2,1,1,2,1,1,3,1,1,1,1,17,1,1,3}

{2150,6141,2100,5229,483,7138,738,4081,196,4187,2322,286,65,4030,1078,4851,1387,2200,330,9405,450,300,1053,7055,1276,156,3450,552,700,5074,3116,754,1898,4140,1326,4160,2015,26,7980,2139,1092,1197,385,1856,99,1947,2254,836,308,380,69,399,1520,660,4346,7134,2009,75,931,850,364,6958,91,1860,4557,3900,5460,352,3713,374,2585,2370,7482,1550,150,52,1740,1131,3588,900,205,2100,69,63,3417,1530,210,3108,182,949,546,1340,3100,873,1066,57,1722,8372,96,1660,93,7050,1898,294,2059,770,5278,5612,9,4526,990,2255,2550,2624,2067,660,693,94,784,100,168,351,5551,364,3038,5551,2552,1404,720,38,4018,450,1440,6225,1615,1615,5795,2244,5278,2340,231,1518,1932,168,2150,2350,1395,1235,240,300,4956,1078,522,3116,90,2378,2573,62,1456,330,2340,248,4653,2604,88,1824,448,204,3740,8265,186,846,396,285,3234,5355,1470,90,1558,2150,182,2958,36,5841,946,3060,1870,238,765,2002,252,1360,8900,60,100,3136,1700,9312,83,546,90,350,6142,630,134,132,2,1092,2914,2475,1590,1045,675,300,5963,644,175,846,156,2961,1140,2790,112,1550,5372,52,340,6972,8742,2277}

Returns: "Solution does not exist"
380

{379,145,308,182,24,321,344,356,233,88,94,346,20,64,126,91,29,271,249,139,66,223,82,91,296,82,120,335,300,111,302,207,195,23,351,202,194,80,190,378,242,101,203,26,168,273,136,263,179,104,244,116,106,329,56,114,202,118,165,252,22,182,99,112,297,222,122,308,46,89,271,18,357,248,187,248,100,22,261,113,303,141,355,166,76,288,292,354,263,107,161,51,135,210,20,142,23,90,151,143,38,98,135,170,168,128,159,236,55,281,301,203,331,148,68,322,265,180,376,223,368,154,52,15,127,120,191,225,69,364,257,39,377,21,163,344,242,349,274,192,289,337,304,31,118,197,377,75,42,217,139,289,68,113,207,4,203,286,202,334,149,11,297,284,0,281,194,207,256,131,176,190,78,311,187,249,352,50,125,41,74,276,102,345,11,2,13,98,230,78,181,220,201,235,89,275,342,118,24,115,104,258,21,141,175,249,84,147,245,365,188,296,314,276,96,198,217,144,218,70,208,48,182,235,320,297,251,299,47,337,77,117,136,39,214,29,30,361,90,115,282,233,83,200,376,209,84,108,194,176,6,378,297,146,247,308,150,347,134,132,287,265,238,12,159,373,150,58,17,226,250,0,54,310,304,34,214,84,77,175,343,332,38,212,30,254,343,321,168,27,267,62,262,150,169,112,230,188,321,9,172,229,190,103,45,157,77,297,291,67,36,192,375,46,81,148,34,119,306,116,221,72,264,246,5,80,136,129,243,269,124,289,193,240,336,270,139,253,14,305,91,284,263,346,106,137,211,308,309,117,16,45,113,299,99,211,235,100,183,199,168,127,253,6,294,89,22,131,237,246,361,91,79,231,341,225,97,37,284,130,167,377,70,326,160,302,147,201,136,209,104,211,280,78,106,37,378,203,56,117,134,236,124,22,206,206,278,46,279,363,288,321,77,17,347,173,79,279,89,36,49,363,33,300,168,190,262,72,277,31,60,33,314,252,310,130,0,203,330,331}

{229,117,202,36,364,195,200,107,226,17,225,143,8,100,87,250,259,194,9,70,2,134,6,327,35,103,201,216,206,329,240,90,31,272,173,144,221,255,24,186,82,338,90,170,284,116,83,270,124,290,21,12,293,129,135,344,70,197,192,353,321,309,253,100,324,195,66,148,312,247,182,81,340,275,62,113,159,304,350,174,12,121,252,118,280,166,18,73,187,154,148,283,22,293,105,375,175,31,186,209,57,303,102,172,189,65,360,137,196,68,318,346,254,337,76,0,264,322,144,194,166,160,240,320,378,277,198,165,332,55,235,265,148,247,280,8,0,103,312,8,155,173,313,251,378,373,171,103,10,139,283,0,212,238,93,330,132,302,223,112,243,31,343,10,94,36,145,232,276,157,254,272,132,21,58,360,336,30,204,38,379,279,165,346,104,105,256,132,149,363,289,227,365,148,97,27,30,341,16,216,164,244,71,317,63,291,170,49,37,174,3,45,198,373,233,56,47,163,270,262,311,296,290,302,349,169,297,212,20,154,345,224,77,219,10,305,249,296,256,83,104,111,173,321,327,30,11,367,287,306,10,161,168,10,248,350,67,369,356,10,112,352,136,97,9,10,247,182,245,41,376,304,153,64,72,140,63,136,324,14,270,89,157,276,159,303,29,338,223,135,109,164,371,305,222,302,375,145,243,227,235,159,50,134,49,97,218,372,265,185,138,233,67,77,293,47,213,121,153,102,222,32,196,30,84,219,162,95,27,349,200,92,184,9,274,292,79,231,235,293,141,216,280,316,58,292,164,10,212,351,102,370,271,206,277,352,367,50,232,324,229,8,48,57,70,224,101,199,195,61,373,301,171,102,271,359,24,160,113,365,174,142,194,15,270,172,233,195,304,176,284,158,38,280,78,155,239,338,234,370,217,75,346,142,31,260,88,151,80,84,60,129,70,0,116,260,135,74,191,302,252,175,11,64,337,173,131,373,202,225,17,137,185,73,25,303,114,99,308,343}

{3,2,1,1,2,1,3,14,1,12,4,1,1,1,3,1,6,1,62,1,1,1,2,1,2,1,1,1,3,1,1,1,1,3,2,1,1,1,11,4,1,1,1,6,2,18,3,1,2,1,1,3,1,2,1,1,1,1,2,1,1,3,1,1,1,1,3,1,2,1,12,1,1,1,1,1,1,1,19,1,1,2,1,1,45,2,1,4,1,3,3,8,7,2,1,7,3,1,4,1,4,2,1,2,3,1,1,1,8,1,1,1,3,1,5,1,4,2,1,1,2,1,2,1,4,2,6,2,1,2,2,1,1,1,9,1,1,1,1,1,3,2,1,1,1,1,2,1,1,15,1,1,7,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,2,4,2,3,2,1,1,1,1,1,1,2,3,2,2,6,1,1,11,2,1,1,1,50,1,7,1,1,3,1,2,2,1,1,1,14,1,1,1,1,1,1,1,1,1,2,1,24,1,27,2,1,1,1,2,1,8,1,1,2,1,1,6,1,3,1,3,2,1,1,1,2,1,1,2,1,1,3,1,1,1,5,1,1,1,1,1,1,6,1,14,1,5,1,3,1,1,1,4,4,2,2,7,1,2,1,37,1,1,29,1,3,1,1,44,14,13,2,3,1,3,7,1,1,4,4,1,1,2,11,1,2,2,1,1,5,1,4,90,1,1,2,1,1,2,6,2,1,14,2,3,2,1,1,4,1,1,1,3,2,4,2,2,7,1,2,3,1,15,1,2,2,3,2,1,12,1,1,1,1,1,4,10,1,1,1,1,1,7,1,1,1,3,1,1,10,1,1,3,6,11,2,1,3,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,7,1,1,2,2,1,1,2,1,32,4,5,1,14,7,1,3,8,2,1,1,1,1,1,1,1,2,1,6,1,1,1,1,2,1,2,1,4,1,1,1,1,1,1,1,1,2,1,1,1,3}

{1767,1100,2201,876,506,3069,2592,84,1292,72,1656,1596,1316,2464,270,168,1170,72,62,255,5976,6090,10,12,312,30,6806,990,93,5544,5494,3243,1287,150,1596,3834,45,696,198,92,158,258,4209,432,1482,36,870,1598,2352,3298,1457,396,58,504,8736,2592,1207,495,874,83,651,60,592,6930,3827,1386,2232,651,3666,3332,72,576,2100,2001,2867,6873,1001,777,285,6320,2442,336,5395,110,90,14,747,32,1037,210,63,72,273,1276,1932,154,525,897,92,1197,440,2442,910,2538,1794,7920,325,2623,336,2310,3552,5124,198,1554,315,1144,156,3256,2646,87,36,1065,410,5312,84,1148,72,1368,136,1104,700,3172,966,3196,810,3807,1027,840,6486,2162,378,1406,3589,663,220,522,46,435,174,45,120,273,280,2133,4606,200,6100,737,6177,6930,2680,988,6141,114,1196,4818,22,893,2156,396,2310,198,1900,517,3904,1550,6231,2262,1159,1100,1674,1470,190,84,7372,5727,220,3300,670,2698,420,50,7553,42,1568,1932,390,3905,660,352,1164,2914,2679,210,1050,2914,1566,330,1786,7280,3927,650,4392,2842,532,288,45,162,4230,1292,66,1170,204,938,448,7387,4539,2408,28,1110,90,3300,2610,3904,87,2652,2418,546,3036,480,7663,1463,570,2976,196,819,2204,728,5,630,30,36,6942,60,5916,1767,108,330,140,300,90,3484,783,1056,806,174,204,192,684,1700,392,481,2184,160,37,476,4350,87,3870,336,6486,833,44,392,39,2442,1794,1333,2262,1092,3154,564,228,204,1162,6030,70,154,1240,1550,658,741,5742,210,150,352,90,4450,2444,2214,4234,874,378,1170,1856,21,196,304,1170,180,630,777,168,3822,29,1856,1392,574,840,2632,4704,147,1840,2542,2139,7802,15,1232,336,1972,42,418,1530,336,64,5063,588,93,840,2100,60,400,5688,7998,1036,3283,182,4466,171,1806,1482,3948,720,40,884,1617,42,252,792,2156,1218,96,30,770,5112,2520,352,3337,3002,910,1040,3542,17,4316,6674,6298,1045,8217,3219,630,3686,1274,1980,1710,38,2538,156,2623,96,400,630,1247,588,231,1209,744,96,156,870,2059,938,434,1530,468,396,456,1365,270,294,4891,498,1491,1140,96,2886,3762,684,2146,1988,936,2412,1830,5002,2656,130,370,416,2257,1240,207}

Returns: "Solution exists"
455

{124,316,293,74,76,29,450,416,69,337,388,254,434,100,203,152,302,442,375,12,419,339,182,284,367,362,230,118,442,104,378,381,291,118,41,423,274,227,224,221,138,82,91,296,383,252,445,240,9,16,311,453,155,276,345,188,38,3,362,224,143,34,38,454,406,452,44,276,243,269,22,280,393,275,195,358,182,440,250,26,263,60,17,185,378,116,167,248,275,260,199,357,172,295,25,349,308,297,231,112,56,276,22,400,232,347,196,6,346,350,241,208,449,12,342,119,244,435,277,247,11,121,129,79,146,106,70,301,284,452,113,383,227,373,400,336,395,192,47,143,30,88,144,99,411,225,327,277,279,452,396,415,438,383,118,302,123,29,331,82,182,81,194,357,227,423,343,255,168,153,336,206,236,142,397,429,144,383,190,77,274,258,90,35,32,93,123,174,200,100,383,283,364,100,451,68,401,268,191,112,151,453,122,36,451,399,424,346,97,5,336,171,34,25,392,0,329,26,1,366,272,446,81,423,362,108,260,324,114,121,110,258,46,2,432,28,414,198,414,449,1,50,269,156,304,348,214,170,253,316,396,292,381,189,313,454,249,60,80,285,401,158,343,68,199,103,357,255,238,156,151,127,185,22,434,111,300,23,238,387,154,449,419,34,173,414,404,197,371,366,367,14,11,85,208,303,51,259,358,315,42,12,318,123,102,308,394,84,129,141,234,24,383,384,61,94,238,387,135,396,160,65,230,35,433,103,404,324,396,417,435,290,394,385,243,272,88,419,164,156,374,441,452,279,373,77,241,100,238,300,203,451,434,10,133,395,423,374,243,436,228,78,162,224,71,92,161,406,44,302,192,374,246,168,208,96,13,374,66,100,299,314,372,178,161,152,62,267}

{23,367,398,296,426,72,109,327,189,64,9,382,330,353,145,119,358,95,367,345,14,342,7,106,199,58,351,225,170,247,311,327,210,413,201,139,259,440,121,180,302,201,159,277,328,106,82,290,285,234,26,424,57,429,175,175,320,365,64,429,202,46,142,132,4,392,96,226,241,49,436,288,203,71,382,230,237,319,358,130,290,10,315,48,376,38,381,366,14,322,165,236,56,359,270,179,354,159,233,70,163,357,55,384,380,434,382,224,328,175,435,306,412,198,2,105,309,158,83,436,223,265,326,71,453,356,162,203,378,45,317,106,292,94,271,238,412,255,304,234,406,227,238,117,235,197,170,123,134,439,114,126,85,43,264,372,282,134,197,416,114,26,319,436,254,103,53,341,295,290,245,281,103,140,216,238,337,36,62,98,65,402,104,88,440,107,200,273,245,296,113,52,58,439,224,408,39,372,21,194,438,39,228,220,357,73,355,11,23,224,377,25,21,409,117,263,401,27,448,224,324,377,409,232,380,317,255,7,436,96,363,12,87,157,170,32,163,401,294,43,33,408,135,163,424,61,380,187,265,153,178,409,3,360,153,232,277,283,405,418,167,105,367,285,11,334,35,424,82,139,234,362,237,303,213,335,430,178,183,363,333,193,290,172,292,178,4,85,68,23,181,69,250,327,247,135,77,273,271,303,189,123,386,99,36,44,133,341,157,241,181,361,25,292,309,235,367,199,159,288,69,145,24,152,318,213,194,61,153,112,396,385,136,277,35,201,204,241,348,444,134,164,137,220,106,141,200,404,327,349,376,418,143,344,360,3,9,150,437,87,97,10,388,23,16,63,303,247,159,128,357,453,1,332,255,427,451,349,407,27,251,92,406,53,166,308,272,347}

{1,4,3,4,1,1,13,1,1,1,4,1,1,1,1,1,2,1,2,1,2,2,1,1,14,1,1,1,1,1,1,1,2,1,5,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,4,1,1,1,1,1,1,1,1,5,3,1,9,1,1,1,1,3,1,1,1,1,3,1,1,1,3,1,1,1,2,1,1,1,1,1,2,1,1,1,14,1,1,1,1,2,1,2,2,1,1,1,1,1,2,2,1,1,1,1,2,1,2,3,1,6,2,1,1,2,2,1,2,1,1,3,1,1,1,1,1,1,58,1,1,1,1,2,11,1,1,1,3,1,7,1,1,1,5,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,8,2,1,2,2,5,1,1,2,3,1,1,4,4,2,3,1,1,1,1,2,1,1,1,2,1,1,1,7,1,1,7,1,13,1,2,2,6,1,1,1,2,1,3,1,39,1,2,5,5,1,42,2,1,1,1,2,1,1,1,1,2,2,3,1,1,3,1,2,1,5,1,1,1,4,6,1,1,1,1,24,1,23,1,1,6,15,1,1,4,2,2,48,1,1,2,2,2,1,1,2,2,1,4,1,2,4,1,1,1,1,1,1,2,6,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,3,1,3,1,3,1,3,1,1,2,1,1,2,1,1,1,1,3,1,1,2,1,2,1,1,1,4,1,8,1,1,9,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,10,5,2,1,1,1,1,1,2,2,2,9,1,1,1,1,1,1,1,1,1,1,1,1,1,2,31,1,1,1,1,3,2,2,2,3,2}

{4615,336,33,1196,5372,4740,65,59,1245,3612,576,2,4270,1254,3157,574,50,329,84,3666,188,192,5185,4662,196,1495,1917,931,987,2752,462,67,962,969,85,1278,2596,663,1782,1100,1450,430,4977,4628,3818,2709,1978,352,2496,66,2730,192,948,231,1677,2666,464,300,2795,567,440,138,522,315,1518,3315,2451,924,1287,1600,2714,3003,6006,2604,70,142,1708,624,166,3965,1440,864,8300,1980,649,2175,2814,544,372,2368,6958,196,1932,5644,2838,2418,372,7347,208,1716,1564,3234,5782,4161,1740,1190,68,6237,2905,3053,78,50,3135,658,30,1968,216,48,5696,1978,828,990,3337,1092,3264,3654,2574,1925,814,2635,5270,2898,391,58,2336,938,456,819,666,330,4623,170,5561,1092,268,147,21,6675,5265,1360,1599,3588,1540,690,437,3150,825,6399,1092,5074,2379,780,2928,2254,17,5822,462,8736,1292,288,70,1540,1148,684,765,469,6972,1288,918,2325,4484,280,1216,90,1170,1276,3525,2891,470,988,3910,2597,1932,1520,3240,6674,2046,504,7371,2684,770,2112,156,616,1960,20,84,630,6106,1539,602,3010,162,1978,39,2790,1426,455,60,2592,42,2580,276,4260,1885,2480,3367,3570,1794,946,164,940,2208,210,798,1530,2516,434,2257,330,215,7802,1700,884,36,2501,2610,1365,1170,144,3116,23,5025,5644,936,180,445,1568,1472,1950,1302,48,308,5538,882,2952,882,1092,5762,468,2310,780,308,1711,420,644,4836,5396,871,204,171,1980,1504,84,621,2812,1034,420,2627,2272,532,60,1494,20,2150,1972,2852,2596,32,2407,2324,7050,57,2100,5432,228,2201,2208,994,1131,1254,399,1978,1311,1464,116,1876,4998,5372,3731,60,3116,1349,126,684,492,5734,2562,2952,528,82,288,6745,6408,198,210,90,3666,2009,4940,2511,245,3315,715,3654,2697,1833,1786,67,4836,4543,200,770,1242,2108,600,4544,1395,2277,2208,2236,1242,396,5751,84,3763,1508,2967,4503,150,882,1984,385,4484,4550,3956,920,93,903,1330,2923,4346,1449,1596,1300,84,714,306}

Returns: "Solution exists"
421

{346,394,176,16,341,197,34,340,274,393,367,272,416,399,18,340,93,19,155,357,159,171,195,78,93,256,140,306,247,120,136,172,321,12,267,40,125,350,372,317,214,323,314,61,101,32,65,328,1,338,92,315,286,347,21,267,127,194,344,402,372,333,10,18,268,231,217,402,187,384,25,332,367,73,197,168,317,420,129,215,71,302,133,229,18,169,83,52,205,357,97,238,365,114,139,313,150,405,13,140,323,51,221,43,384,279,23,213,139,382,356,61,46,360,186,139,382,346,49,141,378,73,67,28,38,323,311,197,374,261,136,194,297,420,139,413,345,16,4,163,398,260,89,45,17,115,168,144,358,85,19,215,136,57,39,382,263,263,133,114,144,93,34,311,259,16,414,295,64,377,171,229,263,215,331,341,70,320,404,164,233,4,304,127,61,202,197,219,370,231,155,87,417,385,199,281,269,71,218,227,313,395,410,365,172,103,68,110,22,249,383,40,189,56,129,47,276,159,199,178,6,275,117,312,362,40,174,138,349,29,18,151,219,266,221,140,385,96,6,373,148,51,195,139,93,18,224,320,241,386,229,92,256,339,146,176,26,315,99,370,139,142,250,185,134,288,52,1,6,331,44,11,404,262,313,373,126,334,306,345,11,392,86,107,276,333,265,228,50,254,9,311,13,203,49,339,96,164,174,288,276,139,117,114,154,120,51,126,224,151,264,326,375,284,304,408,380,340,179,67,410,201,326,380,101,114,200,242,105,193,262,254,160,147,123,264,198,231,95,221,79,52,305,152,127,131,260,371,144,199,50,29,415,111,381,400,355,230,401,394,60,219,97,240,128,36,417,359,387,325,321,44,46,96,108,29,268,252,69,247,162,345,356,136,112,259,176,371,64,312,173,352,383,330,197,202,56,84,407,333,120,25,220,346,239,304,19,265,291,226,300,186,152,337,417,161,352,110,167,326,374,294,336,199,270,18,61,199,273,40,28,153,161,323,301,163,172,34,209,295,287,230,365,370,286,188,291,267,130,148,1,123,151,5,131,402,142,355,417,256,305,43,20,103,398,72,196,317,98,10,393,288,28,123,273,245,281,158,139,159,229,118,136,77,262,155,309,132,249,341,414,293,132,195,247,221,193}

{353,28,347,37,267,402,13,4,294,332,183,237,313,212,47,9,257,194,341,66,59,148,64,161,295,165,339,151,82,356,65,38,10,149,177,413,98,31,124,28,326,198,10,13,40,37,276,22,14,331,180,191,14,62,54,283,138,279,256,12,186,394,51,68,76,71,115,389,33,268,203,112,289,132,34,321,340,271,368,194,242,328,372,360,60,218,293,179,129,259,179,217,419,313,326,103,393,79,352,184,269,235,182,149,164,23,137,333,273,88,92,264,414,114,239,227,195,384,308,86,7,308,98,118,403,36,9,29,135,233,20,341,349,167,269,46,5,62,364,154,346,356,368,211,225,186,233,282,131,343,204,261,170,332,96,5,354,195,105,319,178,5,133,124,364,55,370,363,177,271,328,182,202,27,99,319,62,348,8,250,60,270,167,370,69,292,251,243,243,46,301,419,313,118,127,167,279,268,375,189,182,104,159,414,73,22,9,369,329,253,388,255,66,379,283,184,380,185,327,108,147,144,183,372,367,1,109,158,303,19,350,49,260,31,26,107,230,36,364,35,206,225,201,40,342,74,37,72,134,325,404,312,108,165,352,187,343,309,10,171,116,98,327,363,333,207,411,28,418,150,276,9,379,409,269,11,412,340,6,155,9,216,314,273,63,172,39,187,139,116,75,316,280,68,161,184,81,401,359,347,64,128,363,36,96,4,261,49,117,159,309,99,295,243,419,143,406,333,128,379,248,360,165,34,336,18,373,142,410,348,281,78,246,331,156,248,45,279,229,141,383,166,396,26,409,333,272,251,371,291,342,248,76,186,384,136,282,283,50,131,154,237,346,232,320,243,345,38,314,153,121,97,0,116,388,375,221,95,231,327,0,143,300,290,187,249,313,415,293,41,62,10,221,153,334,313,32,226,39,28,259,333,60,394,35,292,157,355,409,230,202,210,143,22,147,410,269,328,127,209,14,117,337,25,218,286,343,1,72,43,278,314,391,158,65,71,49,27,244,123,3,278,123,192,279,377,345,194,113,305,37,363,43,109,63,103,209,371,152,131,255,57,102,326,272,125,188,237,336,307,29,83,171,236,319,40,136,149,126,36,388,98,290,214,375,72,8,140,293,106,281,244,7,243,341,158,205}

{1,1,1,1,3,1,2,1,1,24,1,4,1,8,56,8,1,1,1,1,1,2,2,1,1,1,15,1,1,1,1,7,2,2,1,1,1,1,1,1,1,1,2,4,1,1,1,13,1,2,6,6,2,2,1,1,2,1,1,2,1,1,5,4,1,3,1,1,2,1,1,72,1,7,1,26,1,1,1,1,33,1,1,1,1,2,5,2,3,3,2,1,1,1,1,1,1,2,4,1,1,1,19,1,1,1,3,1,1,10,4,4,1,1,10,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,3,1,1,1,1,2,1,3,3,1,1,1,1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1,5,43,1,1,3,10,2,3,4,19,1,1,1,18,2,1,66,13,2,1,1,1,3,2,2,1,1,2,2,1,1,1,1,1,2,1,1,1,1,3,1,1,1,4,7,1,4,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,11,1,1,1,1,3,1,7,1,1,1,5,3,1,1,1,1,2,17,3,59,2,2,1,3,1,5,1,6,1,2,1,1,1,2,2,2,1,2,2,3,1,6,1,1,50,5,1,1,2,1,1,1,6,4,1,1,1,4,2,3,1,7,1,3,1,3,1,1,1,1,1,1,1,1,1,8,1,1,3,4,3,1,1,7,3,1,2,1,1,2,1,1,8,7,2,1,2,1,1,10,3,4,1,2,4,1,1,1,4,2,1,2,1,13,3,1,1,8,2,1,1,1,1,1,1,3,1,2,1,2,1,1,1,1,1,3,3,4,1,2,2,2,1,1,1,1,1,1,1,3,1,1,1,1,3,2,2,1,1,4,24,3,1,3,1,6,6,2,1,9,1,1,1,3,1,5,3,5,3,3,5,3,1,1,1,2,1,2,1,1,47,1,1,1,1,1,1,1,3,1,10,14,2,33,3,1,5,1,1,1,3,33,7,2,7,1,2,2,2,1,1,4,3,1,2,2,1,1,1,1,1,1,1,3,1,1,1,1,1,1,4,1,2,1,1,5,8,1,1,1,1,1,1,1,1,1,15,2,4,68,7,1,2,1,3,4,1,1,1,2,4,1,3}

{4929,5265,4088,2030,1824,74,220,1624,5561,144,4324,52,3395,80,56,448,5934,2387,96,582,255,3100,1092,6935,2322,1196,150,8342,2812,684,204,98,650,2254,5016,1711,1078,7315,308,6435,3876,3082,50,1100,3894,2813,3111,39,6138,420,180,546,434,1848,3816,1425,2646,5005,1040,46,550,2835,850,952,8536,1287,8633,90,456,2425,1075,72,2256,168,370,26,5544,7030,5355,1386,198,2769,407,2385,2520,2610,255,2880,315,78,1530,3204,444,2660,3363,1855,4080,3666,44,1425,2162,2380,95,3038,1825,5460,2772,2590,5664,400,684,1300,3160,4028,100,4071,1950,2325,700,1798,1525,2100,1474,6370,140,2024,5184,296,5605,2604,124,7392,930,4218,2773,2291,3354,2310,957,1023,2976,4028,765,3403,1938,4850,364,1610,732,3626,217,558,236,3960,1404,2150,3486,6474,2812,4484,105,86,370,2268,429,140,520,297,616,380,2418,855,4399,54,3220,5664,66,390,1564,5402,1260,2900,912,1274,3300,2703,2368,1036,962,3081,54,2516,1645,9702,3234,57,3055,9603,4410,1311,665,60,260,120,294,689,1088,2680,1066,174,3975,5605,5529,3358,1575,1064,2440,435,2046,1290,2350,910,3588,66,235,5841,493,3294,2604,248,616,602,1484,4845,1615,975,3168,2376,1650,2470,1700,255,1794,59,3268,2296,957,234,5529,595,3060,396,1118,1380,196,1752,6290,1806,2300,806,3894,836,2294,957,3395,48,4416,6435,50,1190,2867,1856,1564,3752,1645,1102,210,504,4850,78,1856,476,58,1248,4453,490,4316,120,5369,1122,5696,3564,3036,2924,665,570,1350,2190,1105,336,1708,2006,858,1672,837,261,7905,42,858,430,2236,5244,1323,2146,1776,736,480,280,1530,3082,1300,3657,5244,40,1650,1064,342,2508,988,4680,56,3723,720,3290,2214,1300,5561,195,855,2945,4982,448,3440,8415,6566,420,212,3648,1995,594,6916,200,8184,150,325,28,2346,800,2730,324,1395,364,3162,376,1326,3256,3666,455,6,765,2054,1598,1896,594,6450,392,9215,114,858,2356,1032,1794,3116,80,72,39,2555,1767,420,198,66,100,5035,36,1332,1855,7081,630,2132,455,117,175,720,2511,260,816,2108,4233,1809,672,2173,1400,2277,429,94,4940,188,1560,5586,1995,3658,6474,825,1650,900,56,3700,198,288,1829,390,18,665,2806,918,99,98,270,490,2214,780,480,492,1586,910,1520,702,4389,252,4300,2871,2706,2666,1247,876,106,2660,969,4653,156,8170,1705,2728,3021,96,441,2640,5148,1650,50,48,4080,4030,246,5664,4661,4,5978,2478,440,225,1078,80,68,392,9,1978,4200,15,2208,40,1470,3416,2886,1824,5795,360}

Returns: "Solution exists"
82

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

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

{3,1,1,1,6,3,1,1,1,6,1,5,1,1,1,5,3,3,1,1,2,15,3,1,1,1,2,1,2,1,4,2,1,3,3,3,5,1,2,12,1,1,1,3,1,1,1,6,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,2,6,2,1,3,1,2,2,1,1,8,2,2,3,1,3,1,19,1,1,2,4,3,1,1,3,1,2,1,40,1,1,1,1,1,2,3,1,1,1,2,1,1,6,1,1,1,2,9,2,1,1,6,1,1,2,1,5,1,2,2,3,1,7,3,9,1,2,1,6,1,1,2,2,1,1,1,5,1,2,1,1,1,1,1,6,1,1,1,2,1,1,1,1,3,1,3,1,1,1,1,4,1,12,1,1,1,5,1,1,2,1,1,1,4,1,12,1,1,1,2,3,6,2,1,5,1,2,1,1,16,1,1,2,15,1,1,1,1,1,1,12,1,1,6,1,1,5,1,3,1,2,1,18,40,29,7,1,2,1,1,1,1,1,2,1,3,6,6,3,1,2,2,1,1,1,1,16,1,1,1,2,2,1,2,15,1,6,2,1,3,20,1,20,2,1,1,2,30,12,1,4,1,1,3,2,1,1,1,1,1,1,2,1,2,1,1,1,14,1,1,1,5,1,3,3,2,1,2,1,1,3,8,1,1,20,1,18,2,1,1,2,2,1,2,1,1,1,1,8,1,1,2,3,15,1,1,1,1,1,5,6,2,6,2,3,2,12,1,1,1,1,29,2,17,5,1,1,1,1,1,3,1,2,3,2,1,2,1,4,1,2,1,1,1,1,3,1,1,1}

{30,3772,2310,602,12,1122,2040,1887,2703,60,1634,5,1596,204,5451,5,1242,765,2670,6142,2310,30,1020,6391,534,320,2064,2950,2214,285,1104,1968,4720,918,276,510,300,1533,492,288,355,812,5395,240,195,426,840,210,1850,1104,1290,3774,460,5644,210,2193,858,570,5251,355,390,645,6450,3237,90,840,420,168,3060,78,385,2240,1050,3071,1333,240,576,1548,234,5130,990,1856,57,1820,2064,348,1840,1173,1068,3074,1425,5037,120,4902,80,4233,2544,5775,7821,20,1972,126,148,840,4260,1204,460,5612,60,2146,645,3408,210,396,84,255,5510,288,210,585,612,4005,15,1140,2668,800,546,426,308,720,90,3990,164,5986,48,266,7268,840,246,4466,645,520,520,1116,28,4740,2064,1240,7029,7920,84,2848,3540,3498,2900,1155,3640,1159,663,105,798,1026,204,3363,4386,6532,644,8700,96,9900,1634,3936,100,1148,1062,150,1330,741,155,336,90,48,1590,4029,3403,684,180,240,1554,434,360,2993,12,215,3182,96,4081,3420,870,75,3569,1065,2146,4128,1185,3570,144,4424,9405,240,318,1290,240,6816,315,5247,1720,6532,108,80,174,210,1632,60,7138,1185,5130,4085,3050,336,390,918,108,90,390,645,1120,1020,6640,2628,355,962,96,2958,390,7505,608,1020,4088,76,60,434,480,924,2701,138,200,2193,400,114,1632,3053,36,60,240,70,48,4182,5451,78,2064,1260,342,155,2310,172,3264,2494,4234,720,3239,1558,1806,168,284,320,3034,855,7900,1479,30,1624,354,276,1548,570,78,448,1380,5320,200,6083,54,1026,255,4731,1292,1140,5478,870,1428,4648,4128,7790,224,1386,305,116,30,30,52,4080,2623,3306,741,30,48,1020,198,42,483,246,48,738,7008,1824,4100,58,2030,204,630,1022,8811,3120,3569,1062,306,1290,1392,240,576,481,210,4582,480,2193,300,1806,5510,2769,4424,690,2759,2772,2044}

Returns: "Solution exists"
22

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

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

{20,1,1,1,12,2,1,1,1,1,1,2,1,1,1,4,1,1,1,1,2,1,3,4,1,1,4,1,4,1,1,1,4,4,1,1,2,2,1,1,20,3,2,2,1,2,2,29,3,4,1,2,2,4,4,1,2,1,2,2,4,2,1,1,2,12,1,1,1,1,2,4,12,1,4,1,1,1,2,1,2,3,1,2,1,4,3,1,2,2,2,1,1,1,2,1,1,4,4,16,12,9,1,2,2,4,4,2,1,1,1,1,4,2,9,1,1,1,4,4,1,4,2,4,2,2,4,1,20,2,1,1,1,2,1,1,1,1,4,1,1,2,4,20,1,2,1,16,1,2,1,3,12,1,1,2,16,1,2,2,4,2,29,4,1,2,2,1,1,1,2,1,12,1,2,26,2,2,2,4,4,4,2,1,2,1,4,3,4,1,1,3,2,1,2,1,1}

{300,2418,9300,1980,240,1216,1566,1188,2574,1044,2322,380,1728,1860,1044,180,1102,540,174,4930,860,1728,1488,320,87,87,220,4930,1600,2295,1566,2900,396,900,48,1102,2900,1508,5742,9300,100,1860,1548,1140,4420,1856,494,58,93,180,9900,688,1548,144,260,255,688,9300,580,4300,220,1892,432,5148,2900,180,540,78,192,4836,2064,704,144,2418,180,4080,3534,5742,684,1740,1102,36,2697,1044,9300,240,48,1102,468,2064,2236,1980,174,4080,1300,192,132,396,176,64,240,108,1488,1740,4300,1200,576,260,6336,1188,114,3060,704,1856,396,8514,3740,255,180,240,783,240,1856,400,836,836,576,8415,60,380,4836,2697,5394,468,1980,2871,87,60,960,2574,4836,260,468,20,2900,2580,3060,48,1860,754,1392,1116,240,87,9900,1740,48,2494,1102,4300,960,2064,58,1200,5952,1900,1856,156,540,7310,1900,4420,180,9900,208,52,1892,1508,1102,900,660,176,684,4930,1548,60,320,837,528,7310,4420,27,1392,1044,1300,1740,156}

Returns: "Solution does not exist"
277

{112,88,234,28,153,198,201,228,204,245,217,94,230,185,219,17,80,212,225,180,111,54,131,233,60,80,240,84,197,227,56,11,148,185,0,220,206,138,254,47,1,97,52,55,171,20,127,115,111,264,220,243,76,157,159,201,86,186,157,184,229,239,191,102,131,14,171,92,25,63,276,64,254,228,7,166,110,223,231,19,107,229,61,105,197,188,201,115,257,147,261}

{275,126,236,144,260,40,204,38,245,55,200,165,102,235,193,37,8,19,233,149,169,169,29,208,223,4,96,63,90,101,255,276,95,238,217,4,201,200,40,135,236,131,184,227,256,246,157,221,237,133,197,211,57,136,221,148,34,105,162,103,52,79,53,19,186,250,109,136,98,62,71,127,135,177,187,0,217,191,268,80,95,248,104,22,202,267,237,64,267,154,234}

{1,1,5,3,1,1,1,3,2,1,1,1,1,1,4,1,1,1,1,2,3,1,1,4,1,1,5,1,3,1,1,36,1,1,2,1,1,5,3,1,1,1,1,1,1,1,1,1,4,8,1,1,2,3,1,1,3,2,3,1,4,1,1,1,4,2,1,3,1,1,2,1,2,1,1,1,4,1,1,1,13,2,3,2,2,1,1,4,1,2,2}

{231,2542,1190,228,903,3354,910,2604,290,2262,840,712,826,2300,180,2910,2838,35,1100,4214,2268,6966,1200,660,930,2442,495,1785,2574,3658,1794,72,598,6532,2236,851,8190,220,936,4214,1870,2352,2100,2418,4819,1908,90,300,2860,672,1794,1050,1380,1170,87,4186,966,20,90,2400,224,490,3560,2065,48,1364,1185,429,3950,2170,1224,16,3528,3162,1273,5590,1144,2759,2175,2310,39,480,330,10,2730,7140,3640,400,7055,1932,140}

Returns: "Solution does not exist"
183

{146,83,139,163,35,64,25,162,78,100,16,113,96,62,15,9,46,117,9,145,146,121,114,161,169,135,31,158,65,81,179,152,20,81,128,176,21,51,86,169,89,159,20,10,25,31,7,171,97,77,41,137,0,92,101,19,78,154,179,176,43,141,74,21,159,173,78,12,90,99,75,174,24,94,90,102,35,60,137,133,109,41,172,20,107,89,178,83,181,91,6,40,103,174,96,42,14,65,140,58,93,49,168,136,104,57,72,93,27,59,100,96,6,48,111,103,82,104,90,86,116,56,36,108,114,48,73,168,26,120,164,23,151,180,89,89,140,107,79,148,180,33,36,175,26,33,76,86,175,7,65,9,168,41,167,159,29,80,121,103,174,37,120,99,84,170,15,154,169,21,150,153,39,52,19,1,92,26,130,107,174,144,44,133,170,157,7,14,60,137,78}

{2,70,160,128,2,141,177,41,123,111,96,177,7,60,135,131,178,79,28,144,34,47,65,109,80,23,16,148,20,134,20,102,80,28,167,155,134,181,54,3,72,62,178,165,177,41,134,84,82,111,149,26,141,102,181,122,101,1,92,27,181,123,162,71,165,80,165,155,34,22,157,103,83,105,51,44,77,85,22,111,34,131,61,45,76,29,85,164,86,149,11,158,25,68,27,31,105,7,107,109,160,146,130,129,139,14,159,134,158,123,172,9,1,69,32,174,89,86,120,4,20,179,1,88,164,17,126,68,32,53,1,107,7,35,103,164,182,147,169,143,61,147,124,3,70,106,25,82,162,77,167,36,125,47,43,18,176,101,108,0,161,138,165,129,43,11,73,170,35,86,149,23,55,86,47,50,60,140,134,71,180,87,182,178,19,15,161,53,114,36,130}

{1,7,1,1,2,1,1,1,10,1,2,1,2,1,10,1,1,1,1,1,1,1,1,1,1,2,1,1,1,10,1,2,1,1,1,1,1,1,17,1,3,1,4,1,1,1,6,6,2,1,1,1,9,2,1,1,1,7,1,1,5,1,3,1,1,1,5,1,2,1,3,15,11,4,1,2,2,1,1,1,5,1,1,1,2,2,1,1,2,1,2,1,4,3,1,3,4,1,3,1,1,1,2,1,1,1,3,6,1,1,1,1,2,7,1,15,2,1,1,1,1,5,4,1,2,4,1,2,1,1,4,2,1,1,30,2,1,1,3,2,1,1,4,1,1,1,4,2,4,6,1,1,2,1,1,1,1,1,1,12,1,1,95,17,3,1,1,1,1,1,17,4,3,2,1,4,12,1,2,3,3,5,2,1,1,1,22,2,6,8,2}

{1860,77,5510,2093,220,9009,5432,5280,400,7695,1334,2425,1518,2988,200,21,1300,672,33,1600,930,684,150,220,5487,1300,3654,1242,900,60,2340,60,2124,110,364,2001,2460,370,340,6045,630,747,900,1995,5432,3465,660,504,434,1710,935,360,792,96,870,429,6960,308,6240,1247,150,4950,2784,2091,855,118,1520,4692,30,4964,108,60,693,224,222,68,198,1548,5256,8265,10,385,2185,468,1716,3690,4300,1232,340,595,120,667,840,60,1978,1638,112,1650,198,435,5130,7161,1702,1326,4234,592,63,540,989,1350,1863,138,140,84,2565,60,2790,4964,570,6596,2556,1170,280,3337,48,1092,7371,444,135,1710,112,1716,4818,2046,180,720,882,6270,651,2376,8835,1045,840,4420,35,759,728,2108,1632,198,100,120,1628,495,300,9,2378,5133,3572,360,660,3120,95,68,1050,1896,3240,6083,2046,2788,51,1196,798,3060,117,420,288,45,1380,1122,465,475,3332,8700,1027,1080,132,144,36,360,1840}

Returns: "Solution exists"
127

{73,121,86,119,88,109,50,37,82,101,21,87,17,78,110,31,102,68,64,62,43,32,94,56,5,26,44,25,66,12,12,56,85,90,118,53,112,118,28,13,72,8,55,77,102,39,119,104,52,76,17,49,13,87,100,101,122,39,85,104,34,103,44,27,39,119,44,75,98,108,55,76,11,51,40,42,31,90,50,124,94,120,113,101,100,37,33,24,103,50,92,23,22,89,19,10}

{69,54,38,95,0,29,106,110,120,106,123,65,119,110,12,77,30,121,26,14,121,77,109,64,97,53,47,81,77,38,35,80,112,40,125,27,85,45,97,27,41,58,114,32,39,5,25,111,37,78,77,84,48,83,26,114,105,95,53,17,87,114,52,53,3,36,102,45,20,1,83,97,36,44,74,40,25,7,37,79,67,6,23,62,111,29,50,47,65,83,113,19,17,124,5,26}

{7,1,1,2,1,7,1,1,1,2,1,1,2,3,1,3,4,1,1,4,1,1,1,1,1,1,18,1,1,1,1,1,1,1,1,2,1,1,5,2,1,6,4,1,4,1,1,6,1,1,1,2,1,1,1,2,7,4,1,2,2,1,1,2,1,6,4,7,1,1,1,1,6,2,1,1,1,1,1,5,1,1,1,2,2,1,1,1,1,1,1,1,2,1,3,1}

{588,8010,2291,132,1054,882,4950,1494,182,1550,414,3458,6,18,954,231,1020,890,1185,1848,6497,1551,2450,711,2805,390,360,3525,330,4187,4611,153,1558,84,2343,1170,1558,6461,550,90,1247,936,660,1551,476,1428,282,660,3569,276,66,1254,110,2546,1110,1364,1092,308,1066,66,1026,1012,3096,1170,924,42,1224,546,1209,1113,4020,5060,672,72,665,665,987,12,8217,20,1950,1898,5244,2728,2220,5229,9405,5490,2093,6633,1596,276,24,780,51,930}

Returns: "Solution exists"
98

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

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

{9,1,2,1,1,4,1,1,9,1,1,21,1,1,1,1,1,2,1,1,1,3,1,1,1,10,2,12,1,1,1,1,4,7,1,3,1,5,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,6,4,1,1,2,1,1,1,1,2,1,4,2,2,3,47,1,3,1,1,2,2,1,1,1,2,5,2,3,1,22,1,1,1,1,1,2,2,1,3,1,2,2,1,1,27,2,2,1,1,1,6,1,1,4,4,2,3,1,1,68,1,2,21,1,1,1,1,9,1,1,1,1,12,34,2,1,1,2,37,1,2,2,1,1,1,4,4,2,2,3,1,2,1,1,1,3,2,2,1,1,1,10,2,1,5,2,14,1,1,1,4,1,1,2,3,1,4,1,58,3,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,9,2,1,1,1,1,2,1,5,1,1,1,14,1,3,1,6,5,1,1,2,12,2,1,2,1,1,1,2,5,1,7,2,1,5,1,1,1,1,1,1,1,1,1,2,1,28,1,2,1,3,1,1,1,1,8,1,1,9,2,2,1,2,21,4,2,1,63,1,4,2,1,1,5,1,1,5,1,12,2,1,1,5,1,2,1,1,6,2,1,2,2,2,1,1,2,1,3,1,2,1,1,1,1,1,3,6,1,1,1,1,5,1,1,1,1,1,1,2,3,3,1,2,1,1,1,3,1,1,1,2,1,2,2,1,1,4,1,1,1,1,2,5,1,14,1,1,2,1,2,3,1,2,1,13,1,3,1,1,3,2,2,1,1,1,1,1,1,6,2,1,1,6,1,1,1,4,1,1,1,2,1,7,1,4,1,1,1,2,1,32,1,1,1,1,2,2,6,1,1,1,1,31,2,3,2,1,1,1,2,1,1,4,1,1,1,1,21,1,1,2,2,4,1,3,1,1,3,1,1,21,1,6,1,1,12,2,1,6,1,4,1,1,3,1,2,6,1,4,1,1,1,2,2,2,1,2,1,1,1,13,4,1,2,2,1,1,1,4,2,6,1,1,2}

{126,6150,420,510,1054,176,1406,1410,990,583,4662,126,62,6399,4770,285,1392,3136,1050,495,237,252,4770,459,86,40,3330,84,3330,2470,3660,60,572,63,748,1377,138,70,1440,208,561,69,476,370,790,6399,850,5184,318,1230,222,4599,868,126,880,6,6480,78,609,78,12,408,2378,5402,28,246,330,90,94,145,126,246,2175,336,3612,5402,2982,5460,330,75,1428,252,1450,132,1988,4260,3854,748,4148,656,3478,2074,2046,7347,8,84,752,42,54,1248,992,427,689,6478,60,444,2175,476,208,884,2046,2604,300,68,2436,2460,252,1242,237,2848,4290,405,6745,630,5795,38,60,68,2146,1898,986,276,74,8514,204,390,3172,2958,102,64,1020,656,1794,1386,812,420,636,1530,1881,540,40,276,106,520,775,70,754,736,1330,130,140,1584,488,130,12,918,6336,296,1860,71,616,476,58,1650,345,1036,304,1769,2044,474,4266,848,244,1886,546,1334,1287,5330,1484,315,1410,693,6150,1449,403,6,4026,300,1802,186,1258,84,46,378,265,54,300,3626,290,116,420,1360,2982,84,150,1484,1200,1188,630,222,882,2548,2080,60,812,2898,410,62,1520,308,1073,6110,910,1066,2730,84,1702,204,1488,99,246,90,416,946,440,275,3445,297,1092,282,318,2146,252,132,136,918,63,292,176,1860,1775,357,195,3034,2418,1235,1068,12,24,2397,497,1425,1600,272,3690,720,132,3108,4290,3626,1160,846,3478,5734,3198,1479,1860,848,924,5550,3172,3690,2170,300,126,858,182,3180,5655,1586,240,102,5530,444,2146,2842,6958,2220,450,51,5265,160,4187,403,63,162,5922,318,18,1160,390,3280,630,50,7326,280,284,3990,4599,602,390,225,5022,140,1508,80,1222,1197,240,1386,1700,68,7134,130,438,90,62,224,54,156,3854,3770,2294,1020,5307,3720,5418,540,104,5922,6478,270,3162,2958,520,56,5,1008,1952,1508,2806,252,7326,1848,736,9405,165,492,5460,64,3843,90,74,1755,2220,780,390,416,42,260,34,62,2442,1260,328,3102,570,90,672,2100,1200,840,5307,901,2376,3212,252,2660,5166,1222,2706,1020,2070,270,138,1702,300,2314,1053,126,5166,180,6958,6106,60,1598,5994,546,5510,96,648,1525,90,112,1428,660,2442,704,316,1258,406,468,222,846,34,858,366,5307,1078,260,476,60,2070,440,2405,158,476,880,1840,12,2015,2976,3920}

Returns: "Solution does not exist"
207

{19,162,55,104,161,127,47,33,56,30,64,86,114,167,176,42,61,150,16,13,168,178,97,75,19,62,170,188,45,61,135,106,93,3,60,47,72,30,198,10,170,173,34,29,129,160,153,26,17,80,126,55,13,127,42,87,200,77,125,173,205,2,7,114,205,7,182,53,1,197,194,105,84,118,134,26,185,65,78,125,152,205,52,16,61,101,23,85,60,48,187,130,124,7,28,143,51,193,189,166,5,188,166,8,134,45,67,14,89,163,38,46,92,101,158,164,74,152,206,145,75,192,55,53,79,24,194,20,125,50,149,128,110,175,45,124,22,22,2,106,28,170,65,149,161,83,153,132,74,74,103,192,45,155,77,113,27,71,36,38,60,10,100,65,167,9,22,80,23,166,140,178,162,161,37,18,194,59,195,41,29,45,25,158,33,94,98,13,182,157,172,25,18,39,109,196,201,194,112,135,109,194,173,197,58,119,50,159,182,74,56,84,146,147,42,90,69,132,198,68,24,32,72,128,26,156,151,172,146,104,31,124,15,141,11,38,144,141,126,72,85,119,182,176,1,145,52,150,129,155,14,127,38,120,1,29,184,56,150,65}

{64,52,133,144,20,133,200,205,41,31,185,76,38,32,159,20,62,104,1,153,95,116,129,197,11,172,175,0,81,186,145,29,102,128,204,104,168,129,157,74,124,21,35,96,21,57,131,146,84,73,25,5,206,143,67,175,183,122,128,177,197,179,121,149,7,129,140,174,9,180,22,193,197,18,199,201,158,45,2,26,73,165,135,64,202,9,191,118,6,52,27,188,194,47,19,96,49,22,38,59,58,51,132,187,126,184,15,19,36,14,95,122,26,51,7,153,153,137,193,185,144,118,159,133,70,137,159,76,198,13,168,114,89,135,28,65,199,27,9,186,123,162,23,78,72,55,33,127,185,151,84,91,116,93,11,62,203,79,189,20,21,68,152,108,201,53,110,157,195,60,142,41,173,33,27,150,62,118,74,100,162,77,176,15,90,175,55,137,54,76,76,12,46,40,179,66,48,14,127,183,73,123,113,11,13,152,71,188,86,27,109,197,126,162,129,2,18,12,67,13,127,173,26,165,191,41,12,107,203,111,2,58,89,192,88,203,162,3,188,33,35,74,21,34,85,81,131,26,70,8,106,42,148,96,131,27,12,69,49,92}

{1,1,2,3,1,2,1,1,1,2,5,1,2,1,1,2,4,5,1,1,2,1,2,2,1,1,2,1,2,2,2,2,1,1,3,1,4,4,6,2,2,1,1,2,1,1,1,2,1,1,2,1,7,2,1,1,1,1,2,1,1,1,1,2,1,2,1,1,2,2,1,2,1,1,1,2,1,2,1,2,2,1,1,1,6,14,1,1,9,1,1,1,1,1,4,2,1,1,1,2,3,1,1,1,1,1,1,2,1,1,2,9,1,1,1,2,2,1,2,1,2,1,1,2,1,1,1,1,2,7,2,2,1,2,2,2,1,15,2,2,2,1,1,15,1,2,1,1,5,1,1,1,2,1,5,4,1,1,1,2,1,2,2,1,2,2,3,3,1,9,1,1,1,1,6,2,1,1,2,2,1,1,2,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,11,1,1,1,2,1,1,14,10,1,1,2,11,4,1,1,1,9,1,1,1,2,2,2,1,1,1,19,1,2,1,1,1,1,19,3,1,1,1,2,2,1,1,2,34,1,2,1,2,14,2,1,1,1,2,1,3,2,1}

{3740,3663,684,630,2322,180,8827,3395,2964,4312,255,1652,1178,5642,3304,1512,96,450,282,182,160,4094,1332,620,3300,172,2162,2278,68,96,884,1274,2967,2200,495,4095,544,792,180,10,2726,3139,684,1196,2628,3588,1274,3572,1955,1974,918,2622,14,170,504,2162,1843,2295,2024,4171,6014,494,46,2790,4462,828,3570,6966,658,2046,825,68,1426,4012,574,846,795,38,2850,2162,3196,9506,1924,255,1248,70,2244,118,495,1961,1530,6566,638,4186,1100,1564,2842,5100,874,1242,1311,1943,702,986,238,90,711,308,31,854,190,297,4042,2030,2438,806,130,2108,476,510,420,59,2242,1548,236,1333,649,3186,828,84,1440,2728,2511,1196,100,1102,6150,450,266,98,1100,9306,1254,450,2924,1368,910,130,30,610,1886,42,46,430,1275,12,1710,284,23,1026,7227,52,1428,1786,558,602,2025,210,3102,594,3774,4628,4257,1505,180,1700,44,2714,470,1092,2574,170,1512,4187,1015,598,342,217,6510,1770,2537,1998,6732,231,221,3515,954,154,290,988,1598,22,516,4650,399,204,5964,3953,140,90,969,1426,1292,792,504,1102,6324,962,36,364,430,3913,3196,4312,3196,4628,4514,3139,76,3870,1862,3306,2449,34,2550,38,1386,850,2278,2380,76,30,5110,504,94,68,1813,2350,2124,290,98,280,3458,2668,4606,1170,3330,1767,2450,1634}

Returns: "Solution exists"
77

{6,5,54,59,25,34,62,64,36,15,16,68,57,72,54,56,49,36,53,66,63,36,12,67,53,11,33,11,72,51,0}

{52,63,48,15,15,62,50,7,71,32,26,70,72,74,14,70,2,24,10,21,67,31,55,24,76,73,18,43,44,53,23}

{2,1,1,1,1,1,1,1,2,1,1,2,3,1,32,1,4,1,1,2,2,2,1,1,4,9,3,1,1,2,1}

{2508,3382,6816,488,120,6097,8645,1173,138,776,3240,114,2175,7656,192,114,184,330,420,120,1596,42,1683,4620,112,72,510,3384,2001,420,8742}

Returns: "Solution exists"
448

{196,146,341,105,224,326,293,386,300,19,191,417,342,213,83,50,47,296,373,358,110,433,92,307,234,213,164,335,420,191,204,57,59,95,377,433,437,422,178,315,253,75,418,288,223,9,281,428,14,350,203,49,159,205,335,66,75,93,353,442,177,88,33,243,337,334,210,271,210,271,283,114,446,308,329,261,1,279,268,53,301,342,181,178,120,276,383,433,124,56,131,170,182,428,193,410,392,223,30,194,376,259,353,103,303,16,181,144,442,191,298,332,396,80,116,105,442,325,170,189,317,293,393,97,52,441,238,112,352,18,351,205,102,1,3,26,80,94,165,322,12,322,117,49,43,397,199,342,36,160,274,424,79,100,307,29,426,65,423,244,87,296,404,301,156,394,385,204,418,158,345,154}

{352,27,24,22,195,42,434,281,89,18,432,239,410,322,261,145,337,31,436,109,29,257,87,102,177,372,284,402,20,120,386,186,34,130,289,412,9,249,287,172,12,185,252,399,388,275,263,159,26,75,166,171,142,280,18,52,372,40,25,240,433,410,346,74,2,386,204,224,374,424,440,68,431,393,186,60,421,149,196,195,290,175,412,389,263,177,409,166,6,165,233,444,38,269,333,208,130,27,27,289,394,250,188,418,321,67,300,439,61,72,189,251,298,142,276,445,327,267,298,190,231,300,268,245,114,17,92,396,225,270,206,96,134,236,363,4,2,166,17,255,332,365,369,73,241,293,208,274,142,294,71,187,280,315,387,91,213,358,389,444,224,218,99,28,360,127,326,236,306,178,362,340}

{4,6,1,1,5,2,2,9,1,1,1,6,2,1,1,11,1,1,1,1,1,2,1,1,6,1,2,1,4,2,1,1,1,1,2,2,1,1,7,4,1,13,1,1,82,2,18,2,1,1,1,1,3,1,5,2,1,1,10,5,6,2,1,2,1,1,1,2,1,14,4,1,1,1,2,1,2,2,4,5,1,1,23,14,2,1,1,2,1,1,4,1,1,2,2,5,1,2,2,1,1,2,5,1,6,28,1,5,13,6,1,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,2,1,30,1,4,1,20,1,40,4,16,1,1,9,1,1,2,3,1,3,14,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,7}

{4,72,4806,2604,180,2668,1624,162,1460,4355,3894,72,260,5840,2175,22,780,406,3036,5490,4080,864,1953,1475,660,2263,66,295,408,3102,1539,3420,2142,1360,360,1242,1242,2208,210,84,7476,78,374,8330,82,864,90,2322,7832,2418,5700,2349,378,3230,65,1634,806,3977,150,195,540,340,1332,3010,3445,6480,418,420,1914,294,1520,4182,1349,2886,828,7350,1110,2924,28,45,3835,806,138,84,4230,660,1885,2700,1960,201,1140,600,3900,2494,1100,100,7820,984,456,430,6930,2726,550,1309,1440,56,1380,510,195,660,5185,1848,1105,1491,902,651,1105,710,2040,793,2090,580,1036,2812,4386,154,2961,1092,180,4030,9702,874,2773,30,418,2200,3763,300,1474,80,1848,240,1914,2581,189,4002,1825,312,63,1955,360,392,4760,228,550,6460,7227,5917,252,550,620,812,2337,1593,2812,280,870,570,1394,210,6887,630}

Returns: "Solution exists"
156

{102,89,69,26,145,87,97,155,150,117,106,152,55,134,155,46,98,38,48,42,125,4,135,76,91,124,38,139,45,35,54,46,129,65,24,0,155,138,82,146,135,88,82,68,100,31,88,39,112,110,39,122,117,39,148,48,58,27,67,128,132,52,112,25,150,108,19,118,101,21,124,76,153,75,36,38,78,4,18,112,99,101,119,137,79,38,3,36,142,46,54,72,109,56,63,88,12,123,40,155,77,35,148,149,104,10,119,32,117,68,70,20,152,151,33,108,25,75,15,2,12,36,89,12,51,3,88,101,35,149,66,64,38,24,57,89,32,131,44,54,62,111,35,7,37,60,151,58,141,52,12,72,87,153,106,14,22,65,46,75,90,57,95,93,132,95,84,126,68,133,62,39,1,30,149,144,117,55,155,146,44,147,53,20,113,49,144,82,140,28,94,133,142,2,30,17,32,18,31,133,52,100,46,42,78,17,59,100,137,109,112,61,124,107,54,105,73,4,142,140,73,20,77,47,46,24,128,74,31,62,117,85,24,112,145,51,55,98,124,146,96,63,104,64,46,44,37,136,44,65,70,107,69,66,3,0,12,111,22,64,121,132,74,34,74,14,27,64,131,80,112,41,123,119,147,21,32,114,128,88,42,15,138,39,81,44,33,133,86,75,110,87,135,151,91,21,136,152,144,55,18,71,99,25,20,20}

{114,75,152,114,99,154,109,144,19,5,9,87,112,120,19,100,134,28,68,91,63,149,98,82,130,140,141,68,67,59,14,67,81,31,42,112,104,93,127,125,27,86,48,10,82,34,1,149,5,150,40,88,16,153,114,23,117,39,155,2,66,29,57,144,96,63,25,19,109,122,130,53,98,106,112,103,77,105,118,64,124,2,125,142,29,15,123,141,89,28,56,118,17,102,120,26,147,152,15,1,110,105,33,127,105,104,139,110,132,91,32,70,92,149,153,23,30,132,143,94,144,87,46,69,36,89,116,19,55,24,82,85,115,75,99,67,65,124,91,83,140,47,30,97,128,49,126,150,92,154,28,150,60,12,148,1,87,84,134,111,130,141,123,136,58,91,66,13,75,88,87,143,49,92,59,128,96,24,151,141,19,118,103,116,104,94,52,131,105,77,51,151,22,113,143,2,72,114,6,114,139,64,17,27,6,39,44,8,62,1,111,103,2,99,75,81,2,57,33,131,115,149,70,8,12,60,154,44,4,102,81,82,62,141,85,139,132,137,110,141,41,47,141,61,47,149,25,61,154,80,89,55,155,42,44,116,121,52,19,98,27,130,11,99,44,122,40,60,33,68,27,114,119,13,5,96,95,111,66,6,52,39,38,24,57,115,132,5,28,20,74,13,20,154,150,36,131,103,92,144,97,107,42,151,71,35}

{1,1,1,3,1,2,33,1,1,1,1,1,1,2,7,2,3,2,7,7,1,17,1,1,1,2,2,1,1,1,2,2,1,1,1,1,3,4,1,6,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,5,1,1,1,1,1,1,22,1,2,3,3,1,1,1,1,1,5,1,1,1,2,1,9,1,1,1,1,8,1,1,2,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,7,7,3,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1,11,2,1,1,1,1,1,1,1,1,2,7,13,2,1,4,11,16,7,1,2,1,2,1,2,1,1,1,2,1,1,6,1,1,1,1,1,1,7,1,1,1,1,2,1,1,1,1,1,1,1,9,2,7,5,1,5,1,3,1,1,2,1,3,4,3,1,1,1,1,1,1,1,1,1,8,1,1,1,1,2,1,2,1,1,1,1,1,4,1,1,2,2,1,1,1,2,1,5,16,1,1,1,1,1,5,1,1,1,1,1,31,2,1,5,1,1,2,1,2,1,1,1,1,2,1,1,1,4,7,7,7,1,1,1,1,1,1,3,2,1,10,2,1,19,2,1,2,1,7,1,4,1,7,1,2,1,7,1,1,4,8,1,3,1,1,4,1,1,1,1,1,1,1,2,1,2,1,1}

{3819,793,1980,342,5673,1216,198,2961,6314,7268,3835,3762,602,504,693,1128,234,992,294,2914,1140,34,1131,6603,7462,2294,124,1554,2914,180,390,744,1484,2849,245,3956,63,380,6887,12,1334,3784,3479,672,6674,1463,2494,2482,3956,7626,5548,387,4661,1971,513,1666,2054,3358,3906,1168,1044,630,2709,3854,2706,5320,6314,1925,132,261,2542,744,351,3965,3053,4402,667,748,200,2881,3782,3212,204,996,315,6138,774,284,156,96,1066,1100,2112,2747,5320,774,4410,8514,7524,3654,2697,44,270,3298,132,96,1258,4557,6873,546,147,105,6435,612,270,952,3608,5307,2871,5913,2303,2698,312,980,1491,117,4300,308,28,170,2556,737,682,305,3843,806,1813,930,637,130,3330,350,88,693,80,105,2412,1066,260,2240,1568,1804,1330,1323,1755,870,798,3071,72,427,8118,252,1806,1340,2262,273,2988,5829,2562,2924,1710,2117,1218,5720,1530,752,2607,70,252,12,539,450,1704,300,33,567,3290,2130,1628,928,567,612,84,803,2552,4672,2156,2280,2464,3876,2590,6298,192,2254,736,4672,2205,637,7470,1914,301,2414,4526,5246,1586,308,511,1071,60,1110,77,510,609,1550,1176,35,64,4263,1309,6030,2212,781,90,172,1023,777,1218,3237,186,12,3135,950,12,2278,600,1666,3280,2278,3136,1924,273,602,1260,1764,441,2300,637,70,231,2613,4186,7134,6177,1159,4263,90,1748,2345,30,1092,1978,285,1462,2958,4140,957,147,399,144,1376,490,7227,2356,365,252,539,870,1564,352,915,2697,3306,435,576,7462,2059,2010,7029,3055,658,3960,86,2989,1476,30,60}

Returns: "Solution does not exist"
258

{231,217,50,29,204,19,242,138,126,176,31,167,142,234,156,32,204,199,52,14,74,164,113,158,218,27,171,47,209,69,145,208,58,100,256,9,101,236,71,34,221,229,201,173,164,185,243,125,252,81,159,8,93,172,216,25,249,181,244,225,118,142,16,115,53,67,249,158,204,197,93,24,254,77,124,44,10,51,18,150,96,8,202,237,159,36,238,79,17,135,139,131,127,35,249,98,78,135,169,188,29,222,111,132,182,87,36,110,68,252,153,231,42,187,0,96,239,13,171,20,189,199,30,24,44,101,164,211,121,188,27,207,4,245,56,252,85,245,45,60,86,45,162,102,16,185,17,140,179,229,142,195,7,30,219,46,65,48,243,124,36,245,221,189,161,74,246,149,179,149,134,221,195,107,202,137,67,206,69,23,207,172,146,46,141,193,104,201,4,233,56,152,75,189,247,239,150,160,93,236,32,36,149,19,139,210,39,74,119,76,105,41,166,225,47,179,90,91,245,112,54,105,87,222,92,38,246,74,5,51,178,17,117,22,72,42,55,3,93,32,227,4,202,107,25,128,103,38,6,32,42,42,27,18,167,128,76,194,231,56,153,197,170,166,255,88,13,236,200,31,129,1,51,69,46,0,146,15,176,223,164,188,53,131,120,198,5,60,155,83,162,110,147,131,186,148,91,204,156,192,196,48,103,161,223,229,150,239,140,7,180,199,95,197,126,141,228,207,73,20,68,72,236,41,92,249,232,137,11,241,1,35,14,134,71,225,29,186,77,147,117,233,256,129,186,253,163,32,71,219,91,85,206,78,254,243,98,69,68,174,220,103,106,120,163,32,26,31,213,248,212,101,200,80,151,102,252,141,252,119,83,136,173,67,198,117,64,102,99,36,106,89,187,156,149,192,158,22,216,23,81,105,78,200,6,185,210,141,211,160,12,80,230,176,244,80,58,70,156,174,160,212,113,93,23}

{115,209,117,58,104,214,227,215,83,200,66,149,166,81,93,120,127,25,116,183,134,43,9,143,149,60,135,12,82,227,190,157,161,143,67,136,241,142,199,85,124,187,26,254,74,63,77,6,52,22,127,133,168,109,175,240,99,1,80,218,10,61,225,156,149,74,53,187,159,250,209,84,162,139,249,74,5,96,193,110,19,132,238,110,199,19,176,185,130,138,80,48,166,236,176,208,249,211,168,28,4,90,77,137,76,232,24,166,76,212,232,72,133,251,218,125,59,32,26,104,57,71,132,252,84,204,24,149,240,120,118,122,60,115,9,48,126,2,59,185,20,57,111,174,106,135,227,57,218,23,127,246,74,44,100,161,211,63,136,195,33,13,1,25,218,134,86,2,192,143,156,173,209,182,130,55,46,186,37,175,250,248,231,219,256,172,247,13,78,42,239,178,176,231,36,197,240,83,253,56,23,189,252,42,123,233,210,2,180,170,66,98,109,65,225,15,24,182,176,170,131,240,179,59,67,209,64,197,21,29,76,142,6,61,146,93,133,245,137,165,95,228,82,97,139,251,121,18,224,186,147,94,162,108,200,188,1,31,45,229,98,164,19,56,149,67,32,241,232,122,87,55,24,124,247,53,41,160,64,216,22,172,28,149,99,1,153,8,166,77,110,105,40,159,247,72,128,229,7,21,154,103,86,67,1,74,232,159,53,66,219,6,255,74,55,253,150,20,128,14,178,123,41,64,113,187,254,38,34,153,78,5,251,106,26,198,138,235,255,191,61,11,20,117,162,151,177,31,134,168,248,43,21,21,96,126,185,183,7,182,225,128,243,45,181,139,28,3,161,246,134,224,183,175,255,164,5,3,231,8,183,66,204,7,38,252,221,56,198,95,80,248,234,81,153,130,114,119,119,231,92,10,7,215,38,178,149,91,28,12,70,102,136,76,211,72,178,135,233,2,215,0,146,116,238}

{4,1,1,3,1,1,1,35,1,1,1,1,2,3,2,2,1,1,1,1,1,1,1,1,1,4,3,1,1,1,3,1,1,1,6,1,4,4,1,1,11,8,59,1,1,2,1,1,1,1,8,1,1,3,3,2,1,1,2,2,2,2,41,2,1,2,1,1,1,3,1,1,5,2,4,8,1,2,1,23,1,1,1,2,1,1,1,1,1,10,2,1,10,1,1,1,1,3,1,1,9,2,1,10,2,1,1,2,1,1,1,13,2,12,1,1,1,3,1,1,1,1,8,1,16,1,53,1,29,2,2,1,2,1,1,1,3,1,2,4,1,3,5,1,1,2,1,15,1,2,4,10,2,96,1,1,1,1,1,2,1,1,11,1,1,1,1,19,1,1,1,1,1,2,1,2,2,1,10,1,3,1,1,2,2,1,7,1,1,1,3,2,1,1,1,3,1,1,8,1,2,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,2,1,1,1,1,1,2,5,1,4,2,1,1,2,2,1,1,3,2,2,1,2,6,1,3,1,2,6,6,1,1,1,48,2,2,1,1,4,6,2,1,2,7,3,1,1,9,1,6,3,4,4,4,1,2,1,2,1,1,1,14,1,2,1,6,1,1,1,1,1,1,2,43,1,1,1,1,1,1,2,1,2,1,1,1,1,1,2,8,1,1,5,1,1,1,1,2,2,8,69,3,3,1,1,1,5,1,1,24,19,2,1,3,1,1,1,1,1,41,1,3,2,1,1,1,3,1,1,3,1,16,1,1,1,1,1,1,1,1,1,10,1,1,1,2,1,2,1,6,1,1,1,1,1,4,2,7,3,1,61,1,1,3,1,1,3,2,1,1,1,1,41,1,2,1,3,3,1,3,1,1,3,2,1,9,1,1,1,2,1,8,1,2,1,1,1,1,3,1,1,1,1,1,7,1,3,1,1}

{416,1560,3245,9,1302,1292,7802,70,774,440,80,1900,4140,255,288,2208,3720,3234,387,6230,6424,3392,1980,4602,1710,1672,330,1566,3237,2490,231,3476,147,3666,330,935,1656,2300,4508,2208,220,504,59,4560,4664,544,430,3485,2623,1479,80,1260,1824,1044,42,1914,984,198,378,3690,342,644,82,288,1235,1320,1560,4248,1488,174,1248,848,95,2322,264,1056,1098,2068,473,276,1786,2520,1067,3220,784,1026,485,1952,4674,210,378,77,360,7700,120,132,1704,30,1425,102,90,1078,6450,280,396,4636,2862,4140,36,2440,2964,156,940,72,7110,7990,8556,2592,1947,126,75,4508,480,3233,96,8556,53,57,58,138,1672,372,3420,736,3465,4697,414,437,828,608,657,450,75,855,1066,480,6806,300,4770,56,920,700,2024,96,2914,2254,219,2618,85,1540,2970,1863,110,66,4410,6424,7300,19,4929,1482,1314,2640,2730,22,627,1330,690,1392,30,42,2697,3204,4524,1426,2112,1548,14,4779,6390,6298,1953,304,85,52,378,186,4002,3612,96,6300,96,54,1159,1786,2538,603,234,1672,2703,1908,315,15,2610,5986,2214,3710,5194,88,115,712,74,3654,3233,1012,570,2262,1600,264,1708,396,684,3772,2255,406,1131,1504,380,299,1120,288,1079,2070,913,32,594,156,58,638,2624,96,3854,3760,440,1078,2200,78,396,1360,468,504,39,318,1007,630,1824,120,2592,1800,1672,16,3172,418,2332,660,322,5135,435,420,320,186,1537,36,1105,19,1886,902,2379,4788,1710,86,460,5796,2378,16,336,3783,312,5208,414,2604,1785,154,146,1470,682,616,5244,1488,780,230,3286,2009,1248,264,342,192,69,279,1950,801,38,1833,100,320,3420,72,380,2030,3040,936,1562,4697,1068,1898,5428,82,630,1200,4128,738,770,6365,198,2860,240,792,372,96,6716,3534,3710,4416,812,1988,8930,90,96,210,46,198,2214,78,130,414,279,864,1003,208,833,8900,2920,1472,3080,42,3168,5035,61,832,3172,1071,3010,85,1488,690,2378,3355,3520,5985,41,702,182,6586,360,306,741,1767,3776,1479,102,52,4845,126,3266,3080,2378,608,171,64,51,2436,2378,1330,697,180,54,546,114,1230,1206,171,420,3160,1044,288,194}

Returns: "Solution does not exist"
298

{98,105,202,4,45,96,283,101,160,1,77,187,133,198,264,129,226,177,172,293,292,143,255,221,69,126,297,15,116,251,273,101,133,71,210,6,77,112,5,114,158,135,266,266,266,5,234,201,93,138,5,75,287,194,58,141,263,217,11,293,132,29,125,111,138,56,223,74,66,194,116,259,12,126,218,261,247,247,254,63,52,6,52,128,98,107,239,36,242,155,139,220,282,163,122,165,285,65,290,247,254,137,224,140,106,195,257,153,283,102,159,144,121,217,244,63,160,133,240,230,252,44,232,223,27,253,247,209,129,83,201,10,55,90,205,206,226,293,57,228,278,185,41,225,12,57,185,109,283,244,97,148,223,257,122,149,26,201,153,204,150,150,18,14,34,146,240,48,185,33,241,183,142,257,23,115,43,273,117,167,33,132,136,101,116,265,279,138,36,199,84,94,202,240,116,28,176,142,228,137,65,259,184,17,78,62,208,213,237,113,265,154,114,43,115,145,158,166,237,26,108,127,28,128,170,95,281,118,151,199,39,56,265,1,198,296,293,245,122,22,17,40,238,293,57,266,40,283,297,28,157,252,284,202,230,273,205,0,282,43,255,140,182,274,257,104,279,126,83,262,155,249,287,219,272,178,5,176,278,259,178,260,180,55,44,5,57,157,179,268,190,177,159,73,88,155,180,132,85,265,139,143,98,161,217,2,45,84}

{165,100,150,23,279,208,260,279,5,86,208,84,114,240,16,59,286,203,148,247,24,15,294,26,139,82,267,42,9,181,126,210,85,273,292,56,143,23,108,64,200,45,139,128,129,43,276,170,67,289,149,169,202,106,27,105,161,188,173,61,109,287,123,87,2,151,2,162,227,134,222,109,150,163,274,95,32,157,40,72,69,80,250,126,83,223,98,54,123,151,157,192,127,82,230,226,1,280,232,163,20,188,62,191,173,44,12,2,129,154,145,47,249,22,47,47,161,123,78,118,205,3,98,27,218,163,251,188,198,60,188,147,147,121,251,55,287,176,258,171,89,181,270,89,261,230,97,214,63,223,186,200,284,108,141,34,194,264,32,98,83,50,227,242,96,166,236,97,214,188,124,61,204,130,94,195,52,218,6,260,281,279,4,222,217,214,129,104,211,77,260,100,59,220,150,240,207,270,79,87,271,257,207,279,156,125,165,59,156,126,10,168,146,114,14,100,191,61,230,108,94,242,160,46,210,273,3,258,243,69,86,63,203,285,213,271,226,71,152,276,223,77,51,166,160,78,109,55,74,19,288,246,283,142,156,81,47,154,196,98,280,83,22,130,4,176,144,61,107,91,29,241,216,198,39,238,227,293,185,14,30,127,162,80,9,106,58,44,249,161,192,152,59,282,39,17,131,291,288,79,77,62,238,70,3,204,17,255}

{1,46,7,1,2,6,1,1,15,1,2,1,5,2,4,1,1,5,6,1,1,1,5,3,1,3,38,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,2,19,19,1,2,1,1,1,3,17,1,3,1,2,1,1,1,1,1,1,1,4,1,1,1,2,4,69,1,1,3,2,1,1,1,1,3,1,1,1,1,3,1,12,4,1,3,1,2,1,1,1,1,1,1,1,2,1,3,1,1,1,2,1,1,1,1,1,3,3,1,1,9,1,1,1,2,1,1,3,2,1,1,2,1,1,3,1,1,1,1,1,1,2,1,1,1,1,3,1,1,45,2,1,1,1,1,9,1,18,1,1,1,1,3,1,1,1,1,1,2,1,1,3,4,1,5,1,2,1,1,1,6,1,1,1,1,1,2,17,1,1,1,3,1,1,1,1,1,2,7,1,1,1,1,1,1,2,1,1,1,2,1,1,1,5,3,2,1,1,1,1,5,1,1,1,1,1,2,3,1,3,1,1,2,1,2,1,1,5,1,1,2,1,23,4,1,4,6,1,3,1,1,2,13,2,2,1,1,1,1,1,1,1,3,1,2,1,5,1,1,1,1,1,1,1,1,2,1,1,2,2,2,1,4,1,1,1,1,3,1,5,3,6,1,1,1,1,1,1,1,4,2,1,1,1,1,3,2,1,1,1,1,1,2,1}

{4964,92,21,378,782,756,4698,1122,180,3650,2604,855,50,468,988,1995,1495,100,72,6532,1218,527,650,1449,82,150,38,1209,2520,2870,438,1254,1050,3212,266,2465,1054,1674,1140,2244,90,3358,76,228,228,3660,3196,3185,1462,377,1860,85,140,966,4392,736,296,4559,110,5428,442,60,819,120,533,2380,2952,82,272,69,2360,962,126,222,1479,2898,5680,2414,663,330,369,1595,450,114,4828,504,1428,5700,504,28,34,7695,12,5550,4085,1679,1450,45,1692,5254,408,1034,480,272,210,1245,1602,123,3306,7154,1482,2025,3149,6984,567,4455,1665,3150,1820,7885,7221,270,3196,4392,3111,2516,4970,2961,342,4757,3055,8178,870,2914,6090,330,460,7820,3869,1638,360,205,667,45,414,5035,385,1170,3190,504,5005,360,6408,3382,1376,1581,1449,4940,240,4148,1491,1092,1700,840,918,2697,624,4081,45,4042,2356,3658,2440,2047,54,415,549,3723,2175,7209,3956,34,623,1947,3880,45,1938,312,5586,5146,1539,276,35,4212,840,2236,5185,920,4641,88,855,3293,2867,714,6510,1248,6132,350,558,150,282,6862,435,305,35,5244,17,5487,1710,2394,114,24,1935,399,1862,4599,2484,6059,812,3403,3212,935,75,1450,450,7410,92,528,817,1224,504,2418,990,8556,2385,2660,78,290,38,2967,2414,5478,5162,280,8835,4088,2349,2409,124,4148,50,1136,3816,667,623,2040,2550,354,5964,492,3,4154,860,504,1540,1617,1020,7820,120,1295,1862,81,4346,110,315,420,3816,510,3886,407,6745,380,2730,72,1364,42,583,1207,1491,51,62,1632,280,3663,5238,2501,966,950}

Returns: "Solution does not exist"
188

{3,11,186,31,30,101,102,6,165,21,11,18,71,94,172,104,55,90,156,90,41,46,111,65,154,97,115,78,184,181,124,149,179,108,32,133,170,184,88,107,24,127,25,171,67,177,152,72,185,21,66,100,78,35,133,27,127,170,117,179,122,106,39,62,27,22,102,104,116,164,145,61,134,83,79,28,87,20,47,103,34,70,28,68,14,74,13,165,55,20,18,57,18,116,46,177,6,41,95,33,154,146,26,16,80,32,12,119,177,149,85,142,58,144,37,57,185,187,158,117,62,163,67,105,87,112,180,117,60,182,4,110,71,73,53,16,93,186,180,115,39,7,91,187,102,47,137,180,168,180,77,166,57,148,183,157,22,132,185,98,85,112,111,105,95,181,93,98,77,69,160,92,96,119,180,53,113,8,156,67,54,135,120,4,106,58,162,43,93,78,154,177,6,35,34,77,71,94,167,116,0,6,118,43,104,115,100,168,11,74,63,76,115,47,98,179,119,137,112,162,51,46,74,81,170,52,37,59,169,49,8,33,87,27,84,174,112,33,155,48,65,153,116,26,123,72,171,64,164,149,150,23,52,66,169,54,125,177,54,109,103,45,149,98,61,82,93,103,139,125,38,46,173,181,41,29,87,75,39,74,15,95,119,156,36,180,183,124,31,24,51,53,177,130,1,140,70,15,42,149,101,161,52,53,41,123,42,94,173,78,107,33,118,170,155,127,84,99,76,47,133,97,19,26,157,4,153}

{185,64,73,96,181,108,98,71,168,106,75,20,47,67,4,73,58,8,59,88,147,186,27,70,73,124,18,152,13,36,36,90,105,90,135,115,80,32,0,166,179,172,32,100,108,20,125,156,125,62,49,13,133,106,15,83,179,23,185,35,81,173,107,170,3,112,2,158,186,120,45,30,93,167,36,161,111,30,173,142,83,0,173,39,126,54,125,1,24,141,10,169,172,128,119,187,116,55,47,94,169,60,21,158,161,182,154,85,44,65,6,1,106,175,160,65,129,70,121,183,156,96,65,172,4,30,174,84,86,77,107,174,143,76,118,2,176,128,71,30,56,63,155,84,116,158,85,95,62,131,60,133,97,39,123,8,23,40,23,21,19,161,45,134,136,45,182,2,12,156,97,12,1,162,177,172,24,113,164,161,61,144,81,24,97,114,58,99,4,123,163,55,67,144,129,171,146,2,160,62,159,119,106,129,106,57,38,107,91,45,41,4,179,9,52,166,111,22,152,91,91,118,25,45,144,84,112,152,71,11,9,39,60,35,165,3,92,148,104,47,151,60,177,31,175,30,38,113,143,18,93,107,60,178,105,103,140,119,129,29,42,109,183,100,127,135,71,53,109,55,98,99,146,32,27,58,25,163,169,120,17,10,27,35,168,141,23,145,46,8,176,82,87,114,152,158,125,3,22,32,87,179,65,24,43,13,127,41,53,17,79,40,170,122,96,55,22,29,11,171,182,76,33,151,75,120,31}

{1,1,2,1,1,1,1,3,1,1,2,2,3,15,5,2,1,1,1,3,1,5,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,5,2,2,5,5,100,1,1,5,1,2,1,2,1,1,1,2,1,1,1,1,1,90,1,1,1,2,5,24,1,1,8,3,1,1,1,1,1,1,1,1,1,1,1,2,4,1,1,1,1,1,1,1,3,5,3,1,3,1,1,1,1,44,4,2,1,3,1,1,3,1,3,1,2,1,1,7,11,1,1,1,1,1,1,1,2,1,1,2,1,2,3,1,1,2,1,1,3,1,1,1,2,1,1,8,1,3,1,2,1,1,3,1,1,2,1,2,1,1,1,2,1,1,1,1,2,2,4,1,2,2,1,2,1,1,1,1,1,1,1,2,1,1,6,3,1,3,1,1,1,1,3,2,1,2,3,1,2,15,1,6,1,24,2,13,1,1,2,1,1,1,1,24,1,1,1,1,2,2,1,1,2,1,2,1,2,1,1,5,4,1,1,1,1,2,2,1,2,9,1,73,5,1,1,1,1,1,3,1,2,1,1,8,7,2,2,1,6,1,2,1,5,2,5,33,1,4,1,1,1,3,1,5,1,1,1,1,1,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,2,1,2,1,5,1,1,1,1,3,1,1,3,1,1,1,1,1,3,2,1,1,1,1,2,17,1,1,1,2,1,1}

{1272,1340,240,1674,155,3895,266,1428,8455,4620,820,3920,1224,15,85,48,57,84,3239,63,897,30,793,6461,2928,1494,6370,7300,4664,335,5561,255,2961,285,1650,1105,180,2650,5166,2522,1363,935,450,78,285,1520,100,4100,5300,990,480,264,1241,1596,1054,549,2585,1980,689,1786,2769,7140,5141,90,1464,2726,874,88,30,288,1012,155,88,36,4288,848,689,2480,6120,8556,747,7462,4505,159,3752,18,2200,3515,29,1840,2450,2730,8330,705,330,665,420,69,792,1065,4270,3504,2695,88,16,850,1708,2046,6460,6035,2604,3441,1596,644,2030,2769,1272,455,88,195,3690,930,1065,5355,265,1798,798,1118,2482,408,485,1824,153,1776,4648,1012,744,470,714,2015,1378,1752,168,3010,285,792,3534,462,8010,462,1752,442,234,3551,105,1260,2068,360,2332,770,3441,464,143,5544,1320,55,136,322,168,3034,522,476,2294,1650,3990,4760,1769,1708,3936,240,90,924,5112,145,252,627,2850,2784,40,511,915,95,420,532,1992,312,816,690,348,90,246,924,6972,96,84,195,222,8633,140,22,5037,185,3055,144,210,1222,858,1786,2900,350,602,1245,18,781,1260,1290,2030,7900,3570,20,336,3763,3869,2318,8170,456,986,4757,24,360,3834,73,285,1323,161,3100,962,4087,288,8330,56,4268,1095,1056,630,828,3900,6270,72,341,3956,341,255,42,55,198,408,1288,1891,100,518,435,4080,50,4209,627,954,1230,3710,72,5022,825,4026,1558,5963,966,660,7636,135,812,3999,5544,5035,1551,3700,3432,9100,744,4042,850,2173,752,1065,1624,2208,616,4730,345,4760,5913,6208,710,7470,1170,744,55,4042,957,740,936,34,666,2627,2646,3690,360,1971}

Returns: "Solution exists"
460

{289,331,137,96,365,221,342,340,444,376,273,169,426,184,59,381,120,60,313,144,196,256,404,4,44,28,336,4,136,8,422,432,277,254,451,426,122,23,298,260,346,222,146,180,335,439,325,439,57,389,314,262,70,400,440,16,436,68,436,26,106,112,384,62,133,202,153,356,297,145,34,252,317,159,187,373,182,141,392,50,89,17,198,300,318,289,277,160,135,397,2,242,83,260,351,408,264,36,9,27,106,217,389,50,234,10,148,417,448,372,229,423,206,188,136,340,2,173,225,260,387,364,257,167,9,199,25,179,412,443,36,77,346,418,382,52,226,409,212,224,145,323,229,412,353,244,48,25,93,90,219,149,406,164,70,376,257,38,126,103,383,187,190,108,360,403,81,195,200,233,410,8,93,66,415,370,178,71,410,442,202,175,239,26,363,316}

{93,438,241,441,219,417,389,226,156,213,122,25,291,438,425,269,65,146,435,11,369,138,356,376,72,19,277,228,90,65,349,455,95,223,409,106,223,317,368,58,186,97,288,442,405,35,435,20,3,69,27,272,45,256,66,53,35,128,78,49,93,132,342,5,240,191,327,44,409,387,398,164,288,119,280,455,230,238,195,147,35,396,427,89,253,336,79,249,108,46,228,206,164,255,143,115,407,419,210,331,194,294,371,419,368,450,333,307,139,247,1,380,273,72,6,1,457,116,21,161,311,281,42,79,164,116,45,6,319,227,46,361,257,313,401,445,386,386,155,457,421,36,199,377,377,327,318,288,258,186,96,173,240,400,172,71,296,380,8,109,289,93,323,138,433,15,69,110,373,156,162,435,133,200,367,137,49,145,99,43,225,139,120,307,162,114}

{16,2,1,1,1,1,1,1,1,1,3,1,1,2,1,1,2,1,6,5,1,1,4,1,1,2,2,1,2,9,2,3,2,1,1,1,6,1,2,1,2,1,4,1,2,1,2,2,1,1,1,4,1,1,1,2,1,1,2,3,1,3,8,2,1,1,26,1,1,1,2,7,1,1,3,1,1,1,1,1,1,1,1,5,1,2,8,3,1,1,2,1,1,1,1,1,1,12,1,1,1,1,1,42,4,2,1,10,6,5,1,70,1,1,3,1,2,1,1,1,1,1,2,3,4,1,1,1,9,1,3,1,2,4,1,1,1,1,1,6,3,6,2,9,2,2,1,4,4,2,1,2,1,7,1,4,1,5,3,1,2,1,6,1,2,2,15,29,1,1,1,3,1,1,1,1,1,4,2,1,1,90,2,12,1,1}

{320,748,3569,1235,6916,2550,232,88,4180,728,990,3136,3060,660,3916,3154,180,4028,180,350,3936,116,252,728,1411,3280,144,910,3198,36,624,432,400,78,8556,1548,30,47,200,2397,540,2848,532,3071,330,3168,1290,800,935,435,8930,936,966,364,2952,2352,8118,5952,1558,480,3440,1530,16,270,4371,2112,78,2324,2418,4656,1564,280,1316,935,306,2619,5270,3690,1247,2814,3465,3255,228,455,871,576,144,51,332,2331,1820,1780,3640,510,252,36,388,84,7820,6460,1505,4370,203,84,72,3008,2146,300,360,45,52,70,1980,663,2574,8,780,1230,651,1581,7081,3339,748,2088,1288,570,1344,4257,18,2464,252,531,1836,828,150,1050,616,5208,1633,360,1584,12,988,18,738,390,5762,448,880,820,1729,2624,3807,728,4186,1288,3196,1190,252,6474,1088,4080,18,116,1222,928,15,58,6402,2915,5586,90,7440,2706,2835,664,285,1104,2646,3182,1023,90,460,480,627,774}

Returns: "Solution exists"
221

{62,64,157,168,130,58,61,131,126,40,213,114,14,91,23,188,95,78,61,81,72,114,157,34,4,132,84,176,170,166,161,65,93,181,25,106,122,206,114,65,48,178,68,199,125,111,72,5,219,220,154,114,0,34,92,183,34,67,178,107,127,201,17,96,204,24,147,146,200,205,189,101,29,112,81,41,209,169,193,195,6,148,185,56,80,21,144,2,185,187,31,32,210,151,152,152,24,201,151,195,148,200,87,93,39,77,97,84,163,3,150,70,149,7,8,44,198,93,181,6,34,174,195,159,107,36,84,183,99,54,78,146,159,208,184,14,187,73,68,37,205,33,120,52,35,5,202,61,84,45,68,56,17,109,157,89,18,37,35,173,78,166,113,164,109,126,138,36,29,54,189,168,194,125,161,63,151,153,137,30,7,24,70,129,65,215,105,97,17,190,138,129,38,124,50,8,120,115,51,93,174,220,204,180,205,19,185,89,52,104,169,106,47,82,176,80,80,198,43,10,198,213,209,191,107,17,172,127,209,52,210,156,24,176,20,23,54,193,88,135,57,204,1,106,42,187,14,112,206,22,203,193,35,212,157,13,205,87,91,29,68,141,158,143,16,200,128,94,42,108,196,101,171,66,62,85,25,121,95,62,185,179,218,187,16,171,154,214,168,200,142,167,5,124,50,116,84,122,192,169,41,218,111,27,73,38,151,144,86,115,83,15,93,19,70,172,20,158,92,163,54,157,86,65,125,162,104,122,93,73,86,84,120,198,200,170,175,204,1,135,198,145,195,111,24,193,25,48,163,52,96,11,211,11,74,55,151,13,60,77,59,16,77,126,81,125,209,131,151,184,184,46,161,163,48,151,121,69,131,154,179,203,25,67,94,186,8,202,120,115,26,219,85,182,96,166,51,202,174,175,12,194,14,214,89,179}

{112,2,83,182,117,169,47,205,36,76,216,34,12,75,171,83,17,121,0,64,46,193,88,167,68,154,38,126,89,213,207,8,1,17,40,158,36,47,157,54,31,188,102,119,165,215,108,68,26,142,64,187,11,26,5,101,151,125,103,192,13,17,191,197,135,219,161,18,198,194,94,42,126,8,189,43,88,96,19,53,128,168,194,66,171,114,81,17,92,51,218,163,197,31,162,105,181,30,6,150,51,43,162,86,7,118,166,209,160,168,209,207,107,151,62,122,143,72,175,172,40,201,20,58,103,165,86,91,167,203,217,173,131,119,154,152,69,62,39,62,56,123,173,178,18,3,121,125,192,170,138,206,26,16,165,112,104,57,6,24,192,203,10,156,37,82,130,150,102,105,184,16,105,27,115,208,211,14,3,87,154,64,198,62,198,158,187,5,53,205,106,185,137,85,142,218,122,209,153,98,210,210,48,56,110,55,211,184,30,35,206,177,164,51,54,69,31,153,212,36,194,40,122,179,215,195,68,48,82,174,146,142,120,139,204,71,194,104,12,25,33,196,82,159,67,46,126,168,134,157,191,69,180,93,117,80,27,40,165,47,154,96,210,0,69,81,220,17,169,19,28,14,91,214,32,67,64,99,89,69,33,207,195,76,199,100,35,167,84,219,3,170,131,158,137,144,117,102,57,77,131,145,121,85,66,220,79,32,56,6,20,7,177,125,132,38,41,133,127,128,99,188,48,82,140,188,113,18,178,89,40,148,18,56,122,25,83,118,2,100,55,72,199,183,134,175,162,212,156,44,50,217,207,1,5,195,217,169,220,114,24,166,147,144,71,88,108,110,20,172,175,146,164,127,149,217,112,84,122,27,168,216,169,46,182,120,166,182,61,177,178,163,86,90,166,176,210,156,138,30,48,76,185,79,198,86}

{1,1,2,1,1,3,2,2,1,3,3,4,8,1,1,2,1,1,2,1,5,2,2,1,4,2,7,5,11,1,3,1,2,3,2,1,1,94,2,1,2,1,1,6,1,3,1,1,1,1,2,12,6,1,3,3,17,1,1,1,1,3,1,1,1,2,1,1,4,4,5,3,2,1,1,5,2,6,2,2,1,1,12,1,1,1,1,1,3,6,1,1,1,1,2,2,2,1,1,18,1,25,2,2,1,1,1,2,1,1,8,1,1,1,1,1,1,5,3,2,4,1,1,1,1,3,2,1,1,1,1,1,1,6,1,2,4,1,88,1,1,32,1,1,1,3,1,2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,3,1,1,1,1,3,1,4,1,1,12,1,3,6,1,1,3,1,1,2,1,1,11,3,12,1,1,1,1,1,9,2,1,1,1,1,1,10,7,1,6,1,1,2,8,1,1,1,2,1,2,1,1,1,1,1,3,3,4,3,1,1,3,9,2,1,1,1,1,1,1,1,1,1,4,2,2,1,4,1,1,7,1,2,4,1,2,1,1,2,3,1,1,1,1,12,1,2,2,2,1,1,1,1,1,1,12,1,1,3,1,1,1,1,10,1,1,1,8,18,1,3,7,1,1,55,1,4,1,11,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,19,1,1,1,1,1,1,2,6,1,2,2,1,11,1,1,12,49,1,1,1,2,1,3,1,1,2,3,6,3,2,1,2,3,1,8,1,1,2,2,3,2,1,4,1,1,2,1,1,4,1,2,1,1,1,1,1,1,3,1,1,1,16,2,1,1,1,3,14,1,1,1,1,3,1,1,1,1,2,9,1,1,1,1,1,1,2,3,24,1,11,12}

{64,870,992,369,2550,1428,4042,688,1380,480,78,1224,192,93,560,1312,360,1328,774,1590,30,1224,806,3740,792,988,882,340,88,111,18,7821,320,144,3360,2415,759,94,2232,396,798,7462,6424,42,7452,1479,255,3432,1072,4958,390,504,18,4556,897,816,204,6532,8645,8415,176,171,153,4602,1062,752,141,319,2200,336,550,816,620,5056,2650,1425,832,1092,170,558,4636,2009,168,1343,944,6552,212,261,552,924,2470,870,2891,1938,2666,516,2256,2451,3876,72,3234,300,372,60,2552,4899,2294,3136,1335,861,576,342,6435,1479,79,616,2200,30,144,2204,1632,5187,846,4641,9405,1863,588,48,4565,108,5561,580,7826,18,2314,1032,1344,93,88,29,272,32,420,8008,231,273,1200,3956,8330,616,3256,1598,603,6083,5022,704,704,1044,1596,940,7055,999,90,2562,2291,1420,1850,1656,4526,12,4450,3157,84,276,93,126,4488,552,567,516,754,1410,1672,97,792,1173,84,2418,558,528,1295,2328,567,1368,1273,5135,231,5952,1518,10,637,3626,126,1479,1584,10,264,979,3784,1344,3948,455,1974,4686,340,3776,2242,2024,2025,690,1848,96,704,1224,1683,18,2552,462,4544,8008,1421,4087,1974,765,846,2170,84,1088,832,4130,288,1530,4544,455,3408,420,120,2624,3572,4526,459,1088,609,810,3162,944,48,96,81,2914,1144,2418,3381,450,4928,5300,4514,495,336,170,4845,408,16,4345,58,2698,210,1328,440,64,96,72,1170,420,462,112,546,55,4018,400,1407,440,3354,1656,1539,164,4998,803,3060,5964,8170,585,1392,114,7347,4662,3774,116,204,7068,1504,551,130,460,76,3654,4465,552,759,915,332,2542,84,7029,276,2542,576,11,910,1023,96,98,231,1496,1100,3080,288,414,1856,413,88,45,126,1392,3572,306,2170,1134,915,616,1482,402,792,192,936,18,3417,336,3330,5112,4230,2849,3337,20,3286,1196,1088,8514,2397,5162,801,290,42,165,2730,3417,64,3136,946,78,2952,702,420,710,495,84,2923,225,1806,1209,6097,240,228,9,2886,3145,3234,4575,3367,387,1344,420,24,4070,88,72}

Returns: "Solution exists"
227

{130,97,100,194,91,17,183,60,180,155,78,184,95,28,126,8,4,225,28,44,17,59,218,214,112,224,49,100,211,76,214,196,211,78,95,140,158,11,127,122,212,167,154,198,80,11,145,214,221,222,89,30,91,196,119,5,34,71,124,180,82,91,31,89,194,48,70,23,159,202,225,84,126,219,122,119,148,76,45,11,189,80,105,43,191,64,32,214,4,213,83,220,98,185,150,167,123,196,122,145,136,189,214,50,187,218,43,0,58,65,145,38,39,202,208,114,53,178,159,29,207,222,224,74,65,31,18,163,141,202,168,49,201,176,160,124,99,156,53,221,204,127,82,201,165,123,212,224,157,107,192,73,198,90,195,177,16,134,136,60,65,9,190,60,16,127,107,37,94,29,220,187,4,62,167,151,25,56,138,82,100,196,171,139,175,67,30,78,216,103,106,99,213,108,52,32,37,123,222,190,161,89,85,109,99,147,4,192,33,158,32,164,53,173,58,46,133,53,127,143,59,89,85,81,174,221,206,167,147,192,102,209,22,95,68,159,49,6,146,147,106,157,125,159,78,18,137,108,200,199,88,111,18,44,181,65,195,164,61,13,122,41,129,122,118,73,163,162,52,144,51,14,203,49,85,21,185,206,221,78,145,99,5,213,167,185,178,148,26,181,148,0,73,86,59,155,170,157,31,63,123,198,33,215,93,97,225,119,210,184,74,44,15,212,82,174,150,89,35,11,59,180,104,62,82,180,126,29,87,78,39,142,154,140,163,69,110,71,54,22,16,134,178,52,192,198,36,146,189,201,59,60,192,98,74,161,179,204,154,196,123,196,7,116,226,127,73,77,24,153,190,98,41,102,149,122,44,75,70,94,9,99,141,124,217,136,81,165,140,13,4,84,186,3,76,37,16,63,209,10,21,192,144,222,80,44,175,75,18,23,49,171,204,147,53,73,31,165,42,37,76,20,99,66,144,100,133,157,60,107,137,66,164,145,79,162,36,8,165,223,164,61,30,101,47,82,141,44,26,80,209,165,149,81,8,169,66,205,173,75,24,2,142,174,119,6,39,20,0,173,1}

{159,208,140,172,20,162,131,191,46,179,171,20,135,179,75,209,180,115,218,105,118,53,36,216,222,188,22,113,22,186,153,33,43,182,35,102,81,17,200,40,52,77,25,86,91,36,5,52,60,88,21,84,52,161,107,72,212,114,5,173,64,101,62,108,219,93,160,148,225,137,144,57,147,106,105,27,152,131,132,169,68,57,181,0,18,92,73,4,60,76,0,159,51,0,115,11,76,163,22,196,57,141,119,131,160,132,204,19,27,19,213,201,26,94,53,18,122,30,111,186,221,118,198,171,89,91,114,120,172,169,54,32,180,179,77,154,66,32,46,179,68,71,198,209,201,40,54,33,163,225,182,183,213,133,16,113,169,174,97,81,174,141,42,193,95,70,59,122,128,44,221,108,92,65,33,38,191,35,77,165,180,114,65,112,147,27,133,76,7,45,217,3,128,164,126,47,180,38,25,7,88,167,55,11,33,9,222,203,120,13,215,28,184,168,194,113,173,50,39,57,158,184,157,115,101,110,196,214,160,40,136,210,103,138,126,66,13,96,95,128,9,26,218,38,13,135,216,153,225,22,106,28,83,124,28,19,198,131,100,63,198,74,123,101,61,105,65,104,192,26,154,103,130,84,101,182,131,34,190,76,67,127,132,65,189,39,126,92,44,100,18,135,18,16,215,82,118,110,212,224,90,74,185,82,48,1,224,194,148,215,56,144,102,187,103,208,164,224,27,84,119,88,174,105,78,170,78,125,163,155,197,109,15,165,8,50,36,175,70,63,76,161,101,56,10,222,43,160,107,11,176,223,116,194,81,206,116,119,84,30,126,123,145,151,169,121,168,109,34,191,147,203,204,10,199,70,116,69,164,106,14,1,147,34,72,183,108,114,55,155,208,142,202,95,208,194,178,96,102,175,20,142,17,1,91,72,102,194,181,43,198,58,65,141,12,118,55,88,63,223,153,87,142,182,93,180,57,30,16,135,206,124,80,225,40,19,175,177,57,153,154,206,128,53,14,192,27,78,171,46,102,128,187,139,153,135,142,6,72,90,71,87,77,20,194,67,153,18,171,182,124}

{2,1,1,17,1,1,1,1,7,18,1,9,1,4,1,1,14,1,2,1,1,1,1,1,2,1,1,22,5,1,1,1,1,1,1,1,1,1,1,2,2,1,4,3,1,1,1,1,1,2,1,1,1,4,1,1,2,1,1,1,1,1,3,4,17,1,2,4,3,1,3,1,1,1,2,4,3,1,1,1,1,1,1,3,1,2,2,5,1,1,1,3,1,2,1,2,1,16,6,1,1,2,1,1,2,1,1,8,1,1,1,1,3,1,1,1,3,2,3,2,1,1,1,1,1,1,1,1,5,9,3,1,1,1,1,4,2,1,3,1,1,1,1,1,1,74,1,1,3,1,2,1,1,3,1,2,1,1,4,1,3,1,1,1,2,2,5,22,2,1,1,4,14,57,1,5,5,1,1,1,4,8,1,2,2,1,2,1,2,1,13,3,2,4,1,1,4,1,40,1,2,2,1,2,3,1,10,1,1,1,2,4,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,10,2,1,2,1,1,1,2,1,3,1,3,1,1,23,1,3,6,1,1,1,1,17,1,5,1,1,1,3,2,2,2,1,2,3,1,2,6,3,5,1,1,4,1,1,1,1,1,1,2,1,1,2,1,1,6,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,3,1,1,10,2,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,3,1,1,6,1,4,1,1,1,1,10,1,1,4,1,2,5,3,1,1,1,1,1,1,2,1,1,3,1,1,2,1,2,1,1,1,2,4,1,1,1,1,1,1,2,2,2,1,5,20,1,1,1,6,2,7,1,1,2,1,1,1,1,1,1,1,2,2,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,6,1,1,7,2,2,2,1,1,3,2,1,4,1,1,1,5,1,2,4,1,2,1,1,2,7,1,4,1,2,1,3,1,2,1,1,1,1,2,8,1,1,5,1,2,1,1,1,11,1,3,2,3,1,1,1,1,1}

{2976,4128,2068,170,585,3395,837,5135,252,36,1785,135,880,612,2765,2548,140,1113,2380,1118,3395,3255,1890,1150,1320,1290,4260,132,780,6014,1325,528,3705,798,1520,2350,3942,1330,2538,2442,1184,646,840,720,884,1026,1643,800,1027,1640,6160,3886,416,208,4180,1085,222,472,992,2604,1480,364,1596,1680,34,2838,3100,264,672,621,168,2345,6636,663,2838,176,60,2619,1763,1710,3172,2380,1462,456,5135,840,592,350,5530,3298,552,480,900,984,1961,646,7178,96,660,848,2660,2340,1100,1161,248,2870,4731,96,1136,1824,1802,3555,18,2484,3999,632,2046,116,288,186,754,3880,1935,3910,4560,1092,632,1632,1530,135,372,5254,2212,1692,1178,672,420,3922,1953,468,5063,5546,1665,3871,7742,74,6882,1419,1056,1995,1634,496,1530,792,370,1650,3330,3927,1824,5767,969,6390,3492,5135,592,4700,665,264,1748,78,195,168,210,57,1122,45,520,3135,1026,3626,308,16,4845,1122,1428,1488,696,2037,1886,2150,273,1380,646,840,2528,2886,616,3330,40,7954,2132,1360,1456,1672,660,5964,280,6622,561,2862,444,680,837,372,2414,1386,744,3999,846,1435,1890,2160,528,3869,1428,1027,976,850,2604,3182,1900,4214,300,432,4819,672,3763,2832,48,1596,2769,66,5530,1440,1113,4345,46,4452,189,660,3198,612,1817,416,68,1824,45,1080,3124,3710,990,1748,444,924,6887,688,1824,6402,1376,24,252,450,4774,4757,112,2926,2214,366,1261,2037,4929,2820,1271,1938,884,738,316,84,78,748,948,1320,1264,1776,420,666,3589,2607,3108,3010,7326,2070,2706,444,2838,6816,903,748,516,108,1518,312,450,296,1850,2193,1480,3440,1520,2546,1540,1148,1122,4902,777,1036,1659,474,7392,126,720,7128,1260,4606,1248,3655,2133,2006,9300,420,7178,4004,28,1056,2666,360,513,186,4940,3002,1645,158,5934,1700,3358,3172,828,3652,5628,464,5846,592,4346,345,3015,940,48,1672,402,3445,8148,7700,6308,1550,2112,3300,897,595,200,3588,3195,4260,1260,96,455,2356,6132,392,4277,954,3010,5427,1674,1104,4171,1496,148,4130,2450,1054,3465,6966,840,2840,884,455,850,1190,1343,5016,3195,6035,4731,1260,7905,1552,1092,4018,1260,88,5141,3465,1620,266,1032,308,840,1914,5846,1045,1403,224,680,1113,1924,3104,918,1300,490,106,840,4331,1102,2604,585,3182,720,273,510,4284,2450,1862,64,2482,2756,495,1134,1392,3255,3465,3953,77,1539,765,748,1488,477,3555,2040,3534,2272}

Returns: "Solution exists"
377

{194,55,260,363,165,47,154,239,44,131,86,360,359,78,231,321,138,79,157,328,8,297,10,262,107,348,366,338,98,12,110,193,335,339,301,170,303,17,34,325,24,147,138,111,29,284,256,203,218,226,54,375,222,316,63,8,207,82,366,39,41,261,49,318,300,234,190,358,113,14,214,75,235,214,126,220,189,72,315,277,105,21,194,180,138,103,278,206,168}

{121,269,30,215,233,8,88,111,300,168,252,305,367,72,164,304,47,203,119,228,19,88,279,260,261,166,198,359,132,36,15,201,365,34,55,23,32,265,136,144,254,343,322,352,126,145,254,307,133,266,336,40,298,66,270,323,197,187,21,269,339,153,281,269,127,125,137,183,76,318,256,286,277,108,43,87,337,44,255,107,353,137,209,95,69,143,208,258,23}

{4,1,4,2,3,1,1,3,3,1,1,2,1,1,1,3,1,12,1,1,2,1,1,4,2,10,1,1,1,1,1,1,1,1,4,2,2,1,1,2,1,3,1,4,1,4,1,1,1,1,9,2,3,2,1,4,1,2,1,1,1,2,1,7,3,1,1,1,1,1,1,1,1,5,1,1,7,2,1,1,1,1,1,1,1,2,2,1,2}

{220,140,1140,2460,186,1320,1830,252,264,954,1072,540,3886,1998,1364,405,3190,72,2726,817,264,1952,3717,1320,312,30,7227,536,2160,3717,27,1160,2040,91,88,1450,2204,558,420,1968,820,2418,3654,300,798,460,943,5976,1380,7081,9,4606,1440,2706,1568,312,1312,184,2774,210,624,456,134,210,33,1056,5325,3330,3621,2814,230,748,2376,50,76,3685,1092,888,1634,702,1771,2850,1260,2923,58,360,84,154,450}

Returns: "Solution exists"
375

{194,360,37,195,367,293,248,84,245,269,341,344,86}

{291,152,29,156,340,169,229,354,366,46,21,223,123}

{1,4,7,8,3,2,1,1,1,1,1,1,1}

{255,456,280,56,969,2254,2457,3906,546,1353,2044,657,627}

Returns: "Solution exists"
270

{156,77,109,41,237,3,64,15,148,191,71,137,236,58,126,73,193,219,226,260,135,246,45,166,210,189,218,176,5,62,231,141,60,14,89,49,162,230,62,43,50,152,16,85,178,103,258,83,129,78,226,214,183,162,231,240,244,247,240,88,245,98,190,45,99,27,90,254,174,160,108,19,105,251,2,237,104,71,233,75,54,195,191,34,174,228,33,208,191,52,228,37,108,31,251,19,138,94,133,223,117,11,8,235,138,231,107,243,161,239,258,183,22,102,136,211,119,118,181,185,41,177,253,229,31,131,195,39,200,259,151,194,93,260,140,165,230,266,202,180,215,35,131,34,149,201,11,71,39,129,213,178,140,248,106,99,44,190,62,171,149,35,262,201,119,215,139,200,181,199,192,138,168,180,158,54,196,100,102,106,214,106,223,31,37,103,225,98,45,209,101,24,107,201,229,17,197,182,14,82,269,30,143,23,59,199,114,118,32,30,164,257,200,1,44,120,77,106,230,224,90,151,155,202,209,171,144,140,173,11,208,8,196,119,208,98,132,76,58,209,129,39,40,131,204,102,210,118,78,91,266,119,147,114,104,241,208,185,237,149,51,78}

{175,196,263,255,254,177,168,52,101,8,142,57,201,8,209,164,138,194,219,223,252,240,36,145,178,70,181,103,96,179,244,185,127,37,252,199,209,220,38,157,212,69,38,93,107,260,89,1,224,210,264,169,13,27,211,245,92,243,224,6,187,171,183,48,20,139,224,229,145,37,96,160,100,44,42,56,243,56,50,205,222,112,192,265,112,232,232,134,182,126,64,122,42,251,117,167,113,69,195,151,111,78,146,88,143,13,19,46,264,64,140,134,116,100,108,17,249,145,93,226,13,235,195,125,22,1,88,167,213,218,190,103,243,241,102,248,23,118,211,75,252,56,220,144,246,18,204,219,14,27,47,86,264,93,243,93,227,96,123,27,14,54,224,137,150,265,39,52,218,268,238,239,133,87,140,134,57,165,145,10,90,148,13,28,132,42,89,144,38,141,90,107,232,239,27,220,236,243,140,54,112,236,74,110,186,198,205,262,158,16,121,85,261,156,243,84,197,146,144,13,70,74,116,216,218,168,179,231,185,159,209,34,13,102,219,129,42,247,17,159,91,41,68,48,33,127,19,103,123,111,214,62,266,139,240,246,221,207,141,136,58,205}

{2,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,3,1,92,1,1,17,1,8,3,1,2,2,1,1,3,2,1,1,1,25,9,2,2,2,1,2,2,1,6,1,1,5,8,1,2,1,1,1,2,1,5,1,1,1,1,1,1,19,1,1,4,1,2,3,11,1,1,1,4,2,1,1,1,2,1,1,1,1,2,1,1,2,1,1,1,1,44,1,1,1,3,1,5,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,9,1,4,1,1,1,1,1,1,1,1,1,2,1,1,17,1,1,5,2,1,2,1,1,2,1,8,1,1,1,1,1,1,1,4,2,5,1,1,1,11,2,1,1,6,1,1,1,1,1,1,2,1,1,1,4,21,1,26,1,5,1,1,5,1,1,1,6,2,1,2,1,1,1,1,1,1,1,1,15,1,1,1,3,12,15,2,1,1,1,9,1,6,2,1,1,1,2,4,9,1,2,1,1,1,1,2,1,1,3,2,4,1,1,1,1,1,2,2,2,1,1,1,8,1,47,1,1,1,1,1,2,1,1,1,1,1,3,1,2,5,2,1,1,2}

{220,126,994,4982,1392,600,1044,602,2256,5037,2982,2438,1740,4485,4140,1742,42,6164,92,1829,69,255,76,72,2772,3219,462,2380,561,1290,210,940,265,1218,138,75,495,2162,4042,2516,6142,2300,3666,1105,84,4130,150,680,80,4554,1932,1430,2257,9603,210,4641,300,2074,408,663,8099,5978,814,57,731,388,40,5307,504,462,44,33,2425,364,792,784,2550,6958,5893,1100,4290,1530,4745,952,126,423,4465,1612,3139,3956,522,1722,44,6916,3731,7,93,3220,680,899,943,322,4485,3471,75,2562,6,1802,1050,5510,2050,1924,1869,2225,2684,110,2093,72,5610,460,3233,712,3570,1281,6764,85,3315,329,8265,560,638,4690,170,5428,7298,100,230,657,210,6300,1472,1764,94,672,510,783,322,6532,1363,7760,3480,420,1722,425,1054,3655,140,22,3440,5917,174,468,504,1334,4641,1088,188,4085,462,300,3965,285,360,252,738,156,2226,100,6408,775,260,1488,1891,6308,630,1540,426,4704,1786,4230,940,246,282,2755,5917,1034,180,1462,2378,4602,306,60,450,390,1012,2450,946,63,747,156,1274,260,5890,1870,68,720,45,2015,2208,488,740,2610,777,1722,630,2196,480,1722,240,413,2790,3864,2562,8099,2852,3920,1980,4331,715,2655,560,2491,47,57,4370,445,99,630,1840,1288,4745,7826,7154,172,1275,7820,1798,100,752,366,1040,506}

Returns: "Solution exists"
194

{146,77,147,136,12,32,17,74,193,111,141,188,158,79,158,33,62,85,7,109,155,114,46,51,77,162,76,149,27,29,119,110,71,96,190,11,57,37,24,121,71,9,71,91,8,44,178,154,46,13,149,57,19,133,114,102,186,32,142,30,165,139,39,100,118,181,11,44,105,101,96,186,126,64,174,87,169,30,140,63,112,153,192,67,52,44,60,160,133,11,165,138,143,50,65,69,140,152,82,13,118,103,36,149,89,46,3,63,181,164,42,145,12,87,117,68,25,138,98,48,62,147,130,19,179,56,46,55,90,78,95,49,184,85,90,130,12,30,171,40,9,129,112,186,122,48,56,187,34,107,85,11,149,147,44,101,9,92,12,65,95,146,16,57,43,24,160,192,155,21,123,76,61,10,156,157,69,126,137,60,58,124,57,161,46,81,6,110,47,53,137,35,43,121,64,91,172,75,31,55,124,43,71,111,114,141,149,151,22,67,114,88,182,27,108,179,146,181,82,51,23,41,31,78,135,41,39,96,20,67,51,134,54,134,70,29,96,85,116,163,49,91,60,169,13,43,15,109,117,45,106,37,96,102,32,54,37,111,105,148,82,136,173,26,123,57,161,4,156,86,86,23,177,85,170,8,188,5,113,32,157,112,157,155,120,110,107,129,136,142,193,186,23,34,134,172,13,117,99,132,124,111,181,152,46,181,191,7,168,186,36,138,147,0,175,90,172,95,121,122,104,69,102,192,103}

{48,38,181,132,50,86,65,181,101,25,91,163,141,131,90,14,153,21,85,140,87,15,152,33,98,72,182,69,96,126,14,79,125,184,2,139,68,40,98,54,163,186,133,100,12,112,68,164,130,122,37,93,76,175,13,57,31,83,30,7,122,55,87,117,137,168,50,183,73,104,157,21,2,57,34,32,14,147,2,65,105,49,134,166,62,140,111,79,115,65,191,150,36,31,171,131,193,107,90,57,1,65,95,79,188,76,55,84,157,156,130,117,120,171,6,46,44,28,35,43,59,110,35,84,120,35,19,0,163,64,10,37,50,144,60,103,44,14,133,11,180,53,51,37,12,166,109,35,150,96,179,100,101,8,138,148,169,191,98,185,152,171,193,5,60,61,7,12,27,33,145,186,192,43,90,70,173,67,44,33,22,94,62,158,128,62,126,15,45,71,94,112,45,90,62,181,10,95,174,72,3,107,174,41,2,55,140,119,159,9,49,89,186,93,115,66,40,80,130,112,119,26,148,105,91,65,164,130,178,23,1,57,145,187,9,148,148,37,10,146,64,184,182,105,124,106,148,138,189,2,121,193,3,160,192,183,116,144,118,142,172,144,151,166,159,25,30,71,100,94,190,82,126,67,150,144,56,71,26,75,78,14,46,179,17,79,140,22,102,139,192,29,185,67,187,8,41,60,133,150,7,128,114,143,74,142,167,172,95,149,26,156,67,178,170,38,190,174,186,72,148,169,179,147,116}

{8,1,1,1,5,1,1,1,17,5,1,3,1,1,1,1,1,1,1,3,2,5,1,1,1,1,1,2,26,17,1,1,7,13,5,2,2,3,4,3,1,1,4,3,1,2,2,2,3,2,29,1,3,2,1,1,1,1,1,1,1,6,1,3,1,1,2,1,1,1,1,1,3,1,4,1,5,1,3,1,1,1,2,2,1,3,1,1,2,2,1,1,2,5,4,1,1,1,1,38,1,4,1,1,1,3,1,1,3,2,1,8,1,4,24,9,18,1,1,4,1,1,3,1,1,3,9,12,1,1,1,3,1,1,1,3,1,5,4,2,1,1,1,1,1,4,3,1,4,1,1,1,1,1,3,1,5,1,1,19,1,4,1,1,3,2,1,1,2,1,8,1,2,1,1,1,1,3,1,1,3,1,1,1,3,1,3,1,1,7,1,1,1,1,1,9,1,3,11,5,3,3,4,1,15,1,1,1,3,1,3,4,2,1,6,1,4,5,3,1,1,1,11,1,1,1,1,1,2,11,1,38,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,3,2,1,3,1,1,1,13,1,1,1,1,9,2,1,1,1,1,2,5,1,1,1,1,1,1,1,1,3,3,1,21,1,1,1,3,1,1,1,1,1,1,6,1,2,1,2,1,1,1,3,1,1,1,1,45,2,1,9,1,1,1,2,1,1,1,2,5,1,1,1,2,1,3,2,1,1,2}

{8,1364,45,4929,50,780,2204,3465,17,1710,9603,87,3201,231,33,3835,2914,581,679,1173,1932,90,288,2183,496,1755,276,464,26,204,5135,5467,252,182,15,546,3420,2436,112,342,84,70,308,2277,825,396,4230,3822,9,684,174,5396,1863,660,1710,6764,770,4940,270,485,2988,420,4620,1104,93,2340,130,990,3783,816,2418,1162,255,4636,176,5460,390,5,345,6156,4268,1974,988,1716,1550,414,8835,4543,1716,988,4399,924,4136,110,988,48,1173,480,36,76,3162,228,7128,4466,6960,207,2580,5265,1395,980,264,48,75,1092,144,90,90,1806,720,24,2790,71,45,5265,141,585,81,480,3,5612,5751,609,910,357,93,12,450,65,572,1092,270,1827,1628,1218,900,104,663,4095,176,390,329,1794,986,33,126,1683,30,159,400,380,2592,104,629,6004,372,924,5723,1300,598,4897,56,966,1716,852,20,4278,272,1122,18,5487,57,2784,2356,165,234,1271,1224,710,1539,252,29,1980,228,18,1891,495,3266,1863,220,780,4128,60,308,6365,45,5820,4002,7663,45,330,315,1840,28,1846,780,658,168,900,36,1628,869,4221,495,8924,3168,5092,5390,78,2068,66,1258,76,456,3458,230,6732,2574,609,710,24,1281,9009,372,2910,1824,156,990,357,336,285,234,1479,1118,5251,260,3135,870,4845,9021,594,828,2703,1649,3276,2520,3420,5,2660,1380,348,60,396,2397,462,220,561,1131,2212,252,4485,8556,2860,279,2162,87,5467,345,87,4717,378,884,476,1045,528,3458,1518,2546,1488,1980,4092,9312,7410,45,1504,693,270,2067,4462,4212,406,5544,420,66,4512,30,44,230,3564,126,2340,1584,240,4183,52,60}

Returns: "Solution does not exist"
54

{34,14,34,18,4,50,42,17,22,18,20,9,19,37,5,33,38,13,2,24,21,3,36,43,38,49,44,1,4,30,25,36,29,34,53,35,25,30,36,9,26,45,16,47,31,5,24,34,26,46,27,5,41,40,35,49,7,49,35,29,36,7,3,37,44,41,29,44,24,25,44,25,2,52,32,26,6,46,49,26,44,41,3,7,50,30,8,36,9,45,48,44,46,23,51,47,27,52,30,33,9,23}

{39,40,32,39,22,35,50,38,24,22,11,35,2,47,53,46,37,21,45,42,0,2,5,42,26,25,13,28,12,16,19,13,18,41,1,39,10,27,37,46,52,11,5,23,19,53,52,37,0,50,19,11,8,15,45,22,42,22,25,44,28,9,31,21,48,4,22,43,38,5,51,41,48,29,41,32,38,11,46,11,5,48,22,29,10,46,22,23,18,36,6,17,1,53,24,37,35,44,13,46,36,45}

{1,85,1,13,1,1,1,66,3,1,5,1,1,1,2,1,1,1,1,2,1,1,2,1,3,1,1,24,1,28,2,1,1,1,12,1,26,4,1,1,3,1,2,3,1,2,6,1,75,1,2,2,1,1,1,1,2,1,2,1,18,1,17,1,2,1,1,1,6,2,4,1,1,1,1,5,1,4,1,5,2,1,1,1,1,4,15,3,1,1,1,22,4,3,2,1,2,4,7,1,1,1}

{624,85,880,156,285,3818,7636,66,210,780,680,1334,1634,6402,372,5236,6402,805,2279,1932,1725,731,1674,92,1650,2886,1540,72,418,56,1482,1890,1196,976,24,1794,156,560,5238,1972,1200,2120,1736,858,646,372,336,1552,75,5644,1520,1240,915,6035,2438,555,3772,555,1794,1012,216,2378,17,2231,1804,1159,345,44,462,2418,352,4758,3526,1104,3355,825,5478,680,2516,600,1364,5002,255,1886,4316,476,15,702,1508,2862,6806,132,408,156,672,6402,1840,528,140,5236,1566,2067}

Returns: "Solution exists"
477

{58,105,24,55,20,83,269,396,406,420,84,413,255,33,378,133,117,49,6,107,111,466,288,400,377,239,150,203,380,411,148,284,109,457,80,7,22,223,100,403,152,451,447,407,321,409,263,300,367,34,467,179,274,22,313,423,418,293,291,345,249,256,360,273,215,79,297,372,463,126,257,193,464,456,350,152,429,249,229,388,437,101,432,196,172,390,182,307,330,462,389,385,53,423,291,255,42,254,453,15,71,406,14,346,43,46,471,220,22,260,308,344,118,329,240,57,47,25,20,235,471,154,438,24,311,122,198,405,270,2,18,122,410,243,30,329,472,369,399,34,400,363,239,132,300,61,305,160,411,447,270,270,181,80,87,426,165,363,69,421,272,144,238,299,87,362,11,312,393,246,453,428,278,95,311,269,424,378,364,233,336,345,265,273,95,77,89,109,96,90,375,367,420,165,473,261,216,288,81,290,250,181,23,189,143,32,8,298,283,406,444,51,476,190,134,197,274,72,87,48,61,426,191,106,439,145,62,22,312,394,51,106,464,188,16,233,224,19,45,154,99,297,300,0}

{278,324,199,78,87,431,375,276,298,456,140,27,157,136,90,238,218,474,35,37,203,465,47,192,6,35,50,283,253,196,436,154,194,384,302,132,316,377,396,407,110,285,0,149,247,313,248,164,101,29,3,232,440,6,157,84,160,473,305,216,119,367,78,173,243,313,105,118,334,225,36,61,366,135,202,265,135,26,450,233,115,23,20,338,192,454,131,366,171,316,376,178,168,36,375,163,59,454,463,398,475,46,374,320,339,463,285,416,416,454,457,214,456,262,403,135,167,386,465,152,203,435,217,109,310,464,219,117,252,176,67,99,406,415,338,420,172,287,436,273,36,342,181,197,51,350,234,141,119,436,398,68,66,383,109,434,175,96,340,125,10,46,298,350,421,430,389,358,156,368,33,300,98,199,192,12,441,135,313,199,137,210,364,405,414,20,262,409,244,143,204,247,279,195,187,443,367,232,437,213,271,233,326,13,366,247,33,407,116,54,30,116,281,14,386,405,421,201,192,455,5,371,347,107,374,31,96,50,125,236,423,67,21,231,71,297,256,102,382,434,126,279,450,455}

{2,8,1,2,2,2,5,2,1,2,1,3,1,1,1,2,1,1,2,1,1,13,2,1,2,10,2,2,1,2,2,5,2,1,1,4,1,1,2,1,2,2,1,1,1,1,1,9,1,2,1,1,1,1,1,1,1,6,2,1,4,1,1,1,1,1,1,1,1,2,1,1,8,1,3,2,3,4,1,1,2,1,2,2,1,1,3,4,1,1,2,1,1,4,3,2,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,2,1,2,1,2,1,2,4,1,1,1,2,2,1,1,7,6,1,2,1,1,1,1,1,1,1,1,2,2,1,10,4,33,1,2,1,2,1,1,2,6,1,2,2,1,1,1,1,2,1,1,1,4,1,1,2,3,2,1,1,6,1,5,1,3,1,1,1,1,1,2,2,1,1,5,2,1,3,3,1,1,2,1,1,1,1,6,1,1,1,1,1,1,1,1,1,2,1,3,1,2,1,3,2,2,7,1,1,2,1,1,1,1,8,1,1,1,2,3,1,2,1,20,1,40,13,2,10,88,1,3,1}

{156,88,1722,376,368,40,300,2088,4686,1462,608,261,114,5610,1122,684,595,7584,20,470,1410,182,44,2210,38,140,1886,1598,5254,1404,248,110,152,4539,665,660,1221,190,2842,5874,1300,1736,6305,8722,1900,36,77,99,2013,884,2016,424,3666,74,3,912,231,96,1092,2145,280,4880,584,3956,483,64,5368,1888,2236,4312,1300,4554,792,1806,288,780,357,40,2976,9215,2100,957,782,884,5330,434,1953,2024,4005,2013,870,1118,2257,624,2100,342,684,2108,2236,2365,1020,1650,225,7178,162,1075,3782,1020,1258,2759,7476,2232,1376,435,2442,1239,92,2760,598,104,5734,970,7140,798,2580,504,689,70,792,2139,688,616,4686,2093,510,2958,246,6794,424,1196,884,4005,210,120,99,414,468,429,1512,520,3960,2088,420,420,304,340,576,1935,1955,1540,1312,2175,2556,234,176,445,2726,2516,432,782,4420,6138,132,1066,780,420,1488,714,14,3977,552,2886,210,644,858,1334,100,684,3870,429,600,1159,1054,1216,510,2900,3355,1166,168,4661,826,2910,1856,1067,3432,475,255,6319,986,4818,360,1914,3552,153,1035,56,2068,294,1040,6715,1380,2686,1232,445,1900,80,1333,3034,2590,738,528,7654,3096,595,60,5917,80,78,66,20,88,1891,3069,7663}

Returns: "Solution exists"
267

{22,240,80,199,170,224,20,183,87,121,4,43,7,250,43,64,48,10,18,67,179,141,223}

{222,145,128,202,246,169,103,217,6,203,206,263,175,104,47,229,114,233,210,174,86,122,221}

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

{240,270,220,1302,1554,996,3690,413,1078,140,1045,3990,7410,1188,84,198,182,1020,1881,490,378,760,780}

Returns: "Solution exists"
422

{195,310,200,277,191,349,141,279,223,373,61,212,363,273,178,187,340,33,220,177,140,399,85,115,279,335,392,164,338,402,344,182,405,214,263,126,331,349,73,135,229,377,6,304,345,100,290,312,172,291,194,252,182,56,254,159,144,251,373,280,291,309,155,413,150,330,260,163,282,2,311,417,277,337,240,186,13,85,34,9,333,182,94,421,114,331,330,319,363,251,298,230,75,382,278,192,326,71,29,202,331,419,83,381,171,386,76,96,228,394,351,372,209,282,355,376,228,126,14,26,71,368,203,300,152,95,118,240,219,336,75,406,122,255,379,349,338,33,146,369,383,254,122,334,101,253,387,328,364,105,171,344,288,285,346,133,92,137,166,209,179,263,234,165,366,346,154,274,11,128,60,124,198,229,13,144,112,399,352,116,415,289,79,409,298,182,215,36,233,402,396,125,184,56,168,213,284,192,248,329,38,33,303,391,333,139,46,148,268,252,357,224,198,223,57,20,131,314,69,347,119,18,35,211,164,246}

{63,131,128,125,347,28,57,28,333,67,182,271,18,237,131,207,19,259,268,260,91,112,29,236,356,66,230,271,139,9,334,63,51,374,130,222,322,356,66,158,81,292,39,324,253,310,204,127,186,101,313,31,303,269,192,251,312,420,354,230,196,331,366,141,39,134,0,110,21,92,391,257,170,32,19,341,109,414,10,121,74,357,124,318,339,143,305,174,369,179,389,147,13,135,370,216,116,161,32,73,15,226,248,3,366,409,219,259,382,96,401,260,244,114,294,189,373,74,324,152,194,344,57,280,285,258,108,387,172,288,170,48,84,27,42,15,213,361,112,91,381,366,46,394,189,244,121,153,235,55,409,407,222,322,124,121,220,72,405,255,171,294,14,22,379,209,402,266,48,167,364,69,205,76,217,26,320,405,73,121,100,2,369,95,245,143,39,352,218,290,304,340,3,11,205,353,405,294,193,234,406,303,301,81,154,260,154,123,8,182,123,328,218,36,384,157,4,185,419,187,206,283,59,118,181,189}

{1,3,1,2,1,1,1,1,1,5,1,1,1,1,1,3,5,1,3,1,1,1,1,1,1,2,7,1,1,17,1,1,1,1,1,1,3,1,10,1,5,1,1,1,4,3,1,2,1,1,1,1,1,13,1,1,6,1,5,1,1,6,1,2,3,4,9,1,2,1,1,1,1,1,5,5,1,1,3,2,1,1,1,3,1,6,1,1,1,1,2,1,1,2,1,1,1,5,2,10,6,5,1,1,5,1,1,1,2,1,1,1,2,1,1,1,1,1,1,3,1,1,1,1,4,34,1,1,1,1,1,1,1,4,1,1,1,3,2,3,1,1,1,5,1,2,1,2,4,1,2,2,1,1,3,2,7,1,1,22,3,1,3,1,1,1,1,3,1,3,6,1,2,1,1,3,2,1,10,2,15,1,1,2,2,1,2,3,2,1,1,1,5,4,1,4,1,2,1,1,2,3,1,13,1,1,3,1,3,1,1,2,2,9,1,2,1,2,1,3,1,2,1,1,1,1}

{3492,39,1980,962,4620,364,248,2268,7326,1300,5372,2145,770,5986,177,702,450,3330,798,3483,435,6402,1554,4465,6966,580,56,3520,2765,34,3770,7663,1450,2805,680,1581,390,1118,20,1274,65,1300,1254,2275,52,195,1862,504,300,7209,2021,6106,237,156,3198,4026,72,5612,455,266,6237,210,3465,312,1650,56,567,957,696,2793,689,2450,1534,520,1170,300,3441,222,63,1088,3034,3713,420,90,1272,330,840,890,627,5673,988,224,5115,1274,1435,7410,1617,1105,168,60,330,720,4982,2370,330,2838,5432,962,78,910,840,4212,990,3074,2590,2064,390,697,975,456,3655,1450,1364,570,120,68,5460,6305,388,2002,3245,780,1474,264,962,858,2844,1710,1122,285,316,2255,5226,910,3827,180,6208,1850,336,767,1290,232,2046,780,1020,2880,294,26,1725,44,930,1190,1170,5135,715,1122,969,2325,260,1395,720,2580,60,280,1302,114,858,2425,60,2112,90,4389,5016,1462,1820,5214,1254,1620,228,1666,7735,1850,150,260,1092,468,2175,2730,4929,2610,1860,90,294,65,4218,2835,1482,594,1254,6794,1034,1628,190,891,1364,1426,177,1100,1935,780,8463,1120,609,3913,1856,1806}

Returns: "Solution does not exist"
185

{96,146,47,109,169,124,109,37,123,77,122,109,70,150,167,148,39,69,61,115,147,152,145,44,162,45,12,146,47,132,183,145,154,89,140,39,137,45,105,180,160,71,27,168,99,29,184,25,158,147,41,17,43,137,103,53,57,57,133,26,184,9,18,24,166,37,74,28,82,15,85,62,79,173,151,58,57,25,105,172,28,9,106,125,106,44,44,148,68,76,65,29,110,0,169,87,65,2,120,108,165,97,177,115,107,129,132,101,3,55,119,155,144,110,166,175,155,106,150,26,57,134,32,22,169,74,138,139,144,166,172,88,27,136,16,64,111,45,40,53,101,161,14,38,181,85,70,30,91,103,61,67,173,156,108,112,137,139,134,110,129,30,156,47,177,32,79,178,109,59,23,75,181,97,3,175,32,18,76,144,58,125,165,174,72,172,148,28,126,3,51,35,174,56,8,165,47,22,182,183,15,47,150,132,82,69,11,50,111,98,11,31,166,116,127,150,112,108,86,86,144,84,53,30,168,113,142,127,6,146,87,118,149,32,59,13,164,38,114,41,150,63,132,170,25,121,103,62,86,180,169,130,119,49,36,85,79,16,125,113,65,133,166,170,100,50,5,170,85,47,28,3,148,80,104,5,70,128,173,125,6,128,102,151,58,133,183,129,142,145,46,177,132,184,156,123,25,80,113,93,18,12,13,105,90,71,182,82,98,184,101,38,59,167,108,179,50,141,45,14,165,80,26,153,101,4,61,165,23,180,128,45,175,184,17,39,136,17,35,34,8,68,130,156,25,39,122,183,126,168,130,41,35,64,132,95,64,3,9,127,90,166,12,50,14,87,47,137,41,26,78,151,177,34,46,37,159,119,183,53,6,182,172,174,91,48,93,0,79,95,5,150,115,120,43,164,46,179,73,93,12,103,2,112,112,24,113,38,11,11,19,81,43,94,171,22,13,88,20,106,51,111,179,87,118,160,162,62,170,29,101,73,173,147,39,44,165,131,98,39,184,45,37,135,5,79,151,163,137,176,39,39,149,139,57,175,20,111,10,155,5,125,143,152,139,17,136,30,110,55,51,65,32,174}

{181,113,183,40,129,70,166,152,177,104,117,21,84,169,54,165,101,118,91,54,139,103,71,87,154,88,179,77,153,82,172,41,77,101,154,112,134,110,113,1,112,127,9,93,19,168,106,56,23,37,44,111,59,155,170,56,171,127,160,107,4,157,141,113,124,133,131,164,130,25,58,10,167,63,150,11,10,57,177,8,145,112,31,54,97,135,84,116,2,99,14,169,121,109,165,85,124,88,128,151,74,181,52,42,127,142,23,149,65,43,180,95,1,63,95,29,146,115,98,182,62,101,17,86,145,172,2,106,149,86,122,153,71,98,39,87,109,163,142,12,105,181,87,126,36,89,57,168,155,176,1,63,150,169,41,156,75,107,44,153,26,5,126,101,123,72,68,9,130,30,35,112,182,100,157,173,130,94,5,84,132,112,125,92,127,29,175,41,154,126,48,49,8,175,95,53,128,157,85,144,77,53,55,24,175,39,176,46,33,45,108,73,50,95,52,79,117,109,61,63,10,153,14,3,63,56,65,149,65,0,138,8,173,112,9,30,157,44,34,50,112,78,85,116,149,59,113,147,26,90,159,67,24,75,92,118,75,2,154,99,41,163,33,146,145,53,132,74,7,124,96,130,164,183,81,163,147,154,74,108,140,54,156,145,34,162,98,113,56,53,50,181,57,63,143,29,169,58,48,136,121,138,43,38,23,59,22,174,144,35,36,106,16,97,96,167,95,95,158,70,77,143,55,106,11,123,67,16,179,159,130,70,101,143,31,113,156,85,100,95,44,129,43,94,106,46,35,59,162,26,110,56,125,129,21,37,68,154,60,155,167,27,47,62,90,113,158,82,74,170,173,119,110,92,149,53,150,183,87,40,107,123,82,13,64,177,87,170,171,0,46,67,45,19,150,175,59,150,26,123,60,139,85,124,83,51,4,165,67,36,31,14,135,8,72,169,91,119,81,112,68,4,97,168,34,16,132,41,11,44,56,149,133,62,63,139,179,170,57,184,131,22,28,59,74,30,97,112,122,143,83,96,55,156,80,2,163,135,92,34,83,57,129,89,133,115,90,25,182,141,82,97,41,64}

{1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3,1,1,1,5,1,2,1,1,1,1,1,2,1,1,2,1,1,7,1,1,1,1,1,2,2,1,1,2,1,7,1,3,1,1,1,1,4,2,1,1,1,2,2,1,2,1,1,4,1,3,1,1,1,1,1,2,1,2,1,1,1,3,1,1,2,1,1,2,1,1,5,1,1,4,1,22,1,1,29,4,1,1,1,16,2,1,1,2,1,1,1,19,1,1,2,4,1,2,11,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,17,2,33,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,4,1,2,1,1,1,2,1,1,2,1,2,1,1,2,20,1,5,1,2,1,2,1,2,1,1,1,3,1,4,1,1,1,1,2,1,55,1,7,1,5,4,1,1,2,1,2,2,1,1,1,1,1,1,5,9,1,1,1,1,1,1,4,2,1,2,2,1,1,1,1,2,1,1,1,7,1,2,2,1,1,1,2,2,10,1,2,1,1,4,2,1,1,2,1,2,1,1,5,1,1,1,1,2,1,1,2,2,1,1,4,1,1,1,94,1,1,2,1,2,1,1,11,1,1,1,1,1,4,1,2,1,47,2,4,1,1,1,1,1,1,2,1,1,47,1,1,1,1,2,3,1,1,1,1,2,1,1,2,1,1,4,2,2,1,1,2,1,1,1,2,1,1,2,1,17,3,2,11,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,2,1,1,1,1,1,1,1,1,12,14,1,2,2,2,1,1,2,1,1,1,2,1,1,1,1,10,1,1,1,1,1,1,1,1,1,11,1,11,2,2,1,1,1,2,1,1,1,4,1,1,1,1,1,11,1,1,1,1,1,2,5,1,1,3,1,6,1,1,1,1,1,2,4,1,1,1,1,1,1,11,1,1,1,2,16,6,2,1,1,1,99,1,1,1,1,1,1,2,1,4,1,1,1,1,1,1,1,1,11,1,5,2,4,1}

{2492,203,6622,2747,2419,32,1876,1643,1530,3082,682,536,76,902,2438,880,1683,1476,1680,3869,660,2232,3196,87,4641,1363,297,1334,2666,855,4081,564,4186,2550,182,2574,1292,1276,21,3100,78,2108,510,36,2964,693,308,637,693,3180,12,2254,1150,884,504,1127,3293,5518,192,1260,3927,10,75,301,224,3392,240,2442,765,559,1856,1281,2208,92,286,2752,1869,1157,90,1166,3478,130,2436,1961,1204,52,76,550,680,1326,988,3157,132,3685,656,87,608,376,2880,26,48,1204,5490,4672,1116,2183,627,4794,76,1357,372,1924,800,44,1036,385,1508,2044,374,6930,5429,969,2300,2530,3854,2544,40,1540,1504,1540,583,2914,204,306,198,6612,6566,1653,1517,621,51,924,4524,476,532,1450,89,198,1820,5976,1200,81,1012,1927,12,1222,68,1980,19,1364,4130,2112,329,4386,1530,200,3293,10,1139,1650,1320,26,2772,4042,38,5060,1700,825,1088,608,1216,962,592,410,1240,4081,55,444,91,133,650,440,902,2695,814,368,2752,46,2871,2464,1978,1978,1298,817,495,396,3569,1640,294,986,43,5394,280,1850,3782,1056,806,67,2640,55,672,2356,1196,1254,9,49,2812,2914,3268,1595,435,902,4324,1300,50,858,66,68,5100,120,286,67,551,350,1222,1650,504,3660,770,589,738,1377,516,44,190,1189,96,264,3367,546,228,3648,84,406,94,920,1216,336,1450,1376,8160,323,330,6699,5293,3648,60,5824,1104,37,602,3392,47,1222,1088,3264,2618,413,1813,2162,1640,1260,1691,77,47,2618,533,5568,350,36,1650,135,299,204,627,1700,4554,1845,544,3080,969,476,1650,1978,89,506,1480,74,1827,52,368,4089,4130,868,2193,102,1296,528,33,558,1088,29,2805,3619,2001,693,846,667,1880,2516,22,5015,391,1551,364,4059,440,3850,357,630,748,588,1480,4484,152,3922,6460,1729,10,1612,874,1428,2322,2440,988,609,5418,3060,48,70,6164,156,1980,340,3854,1219,198,924,6699,943,1548,3366,2385,533,2660,450,348,770,3552,4070,2624,1782,2117,3420,506,330,2050,22,2170,68,135,3960,232,416,2574,2795,357,272,3483,817,6612,4108,1196,66,1480,1886,455,564,7663,364,1105,4998,946,261,2788,66,969,732,602,77,2499,2914,1472,3660,99,55,176,210,3026,693,1155,1334,1961,1300,192,1056,1118,1482,748,3901,99,8811,5546,2585,7743,440,5529,2548,210,884,6336,3293,2773,1550,3520,1679,342,858,396,59,585,3268,300,3116}

Returns: "Solution does not exist"
53

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

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

{1,8,16,1,2,1,2,1,1,1,1,1,2,5,1,2,1,4,6,1,5,1,1,1,4,1,58,2,1,1,1,1,2,4,1,1,1,17,5,4,1,1,12,2,3,1,1,1,1,1,5,1,6,4,1,7,1,1,1,1,1,1,4,1,1,1,2,2,3,1,1,5,25,1,1,14,1,1,1,2,4,4,1,1,8,2,4,1,1,1,1,2,1,11,1,2,2,4,1,2,1,1,1,2,1,3,1,2,1,4,4,2,3,1,1,1,1,1,4,1,4,1,2,8,1,1,1,11,68,1,15,6,1,1,1,1,1,1,3,5,4,2,1,1,1,1,1,1,1,3,1,1,1,5,1,4,14,1,1,1,1,3,30,1,6,1,2,1,16,1,1,2,2,1,4,4,2,57,2,2,1,1,2,3,1,1,7,2,1,1,4,2,4,1,1,1,1,1,1,1,1,4,1,3,4,1,1,2,1,1,2,1,2,2,1,1,4,1,3,1,3,1,2}

{5394,288,96,3422,308,186,1376,1121,7905,3999,1092,5015,902,510,9300,748,3720,816,360,2656,510,3792,142,3160,224,38,58,2842,6324,3569,4930,498,814,408,1102,9114,2130,340,680,612,1888,2280,48,22,228,4838,3315,2370,8556,736,110,6035,240,680,8556,308,2408,1826,552,2840,2494,532,952,1577,2976,1320,1392,48,570,1824,3408,680,300,1104,4047,196,7100,96,6035,1960,816,544,5208,1702,240,396,280,1320,3363,2400,897,638,3999,110,6603,748,110,1224,170,616,2130,690,608,748,4565,390,2360,480,4424,1224,680,2668,936,1562,6225,3304,608,5015,900,2254,224,4080,2516,160,6882,989,1334,385,68,2720,150,180,1652,437,6142,2280,5390,989,186,170,168,3332,170,3003,3304,4814,3320,3192,1248,1767,1248,1540,1292,680,3720,224,392,4543,4661,110,5394,114,30,2139,120,2139,132,2604,2370,4930,1290,1012,348,828,204,476,1392,57,30,2924,2769,5394,32,1116,2408,5900,616,22,1824,760,736,440,1224,3569,2976,142,5775,1254,1826,5700,3354,252,3315,570,96,158,1562,748,1767,3876,1624,2262,1184,1044,2656,4828,1700,3740,912,2380,936,1254,1312}

Returns: "Solution does not exist"
74

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

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

{6,2,1,19,2,1,1,4,1,2,1,1,3,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,2,1,1,1,3,4,1,1,2,1,3,1,1,1,1,3,1,1,1,1,3,2,21,1,1,3,3,2,1,1,1,1,1,2,1,1,3,1,2,1,1,6,1,2,1,1,1,3,4,21,1,1,2,17,1,1,1,1,1,1,7,2,1,1,2,3,1,1,1,1,1,1,1,4,3,1,2,21,1,1,3,4,1,1,2,1,1,4,1,1,3,3,1,6,1,2,1,1,3,4,1,1,1,1,2,3,1,3,1,7,3,1,1,1,1,1,1,1,1,3,43,1,2,1,2,5,3,1,21,1,3,1,2,2,1,1,1,1,3,5,1,1,1,12,3,1,1,4,1,7,1,1,1,1,1,1,1,1,3,1,1,1,1,2,1,6,6,3,1,11,1,1,1,2,1,1,6,1,2,2,3,1,5,2,4,12,1,19,3,1,1,1,1,1,2,1,1,1,2,1,1,24,1,1,1,3,2,4,17,1,6,1,1,1,3,1,2,3,1,1,5,3,2,1,3,1,1,2,1,1,3,21,1,3,1,1,1,12,1,1,1,1,1,2,1,1,7,1,3,3,1,2,1,1,1,1,3,1,1,1,1,6,6,6,6,4,1,1,5,1,7,1,1,1,2,1,1,3,1,1,2,1,1,1,1,3,1,1,3,1,1,1,1,4,2,1,5,1,1,18,1,1,1,2,3,1,3,2,5,3,1,2,5,1,1,1,21,3,4,2,2,4,3,4,3,2,1,93,1,7,4,2,1,1,1,1,1,1,1,1,1,1,3,1,2}

{1092,1480,290,285,532,2112,1581,168,1281,924,84,3999,2604,2660,7980,546,518,1932,4118,2604,3666,1334,55,552,3666,510,9021,840,1276,770,387,6532,930,660,504,2272,1290,636,462,1932,7954,2365,1140,252,1995,483,180,43,552,1140,84,2820,4085,168,231,638,3880,1224,3182,92,651,1900,1281,1302,234,2650,2262,1344,2910,504,53,2812,1806,7030,154,744,168,84,140,680,504,34,47,161,4290,9,782,2280,420,2220,357,2139,950,132,570,35,160,1290,759,50,329,120,231,224,280,21,2346,1342,84,704,946,5544,1102,4272,95,836,552,4290,744,168,1376,780,60,308,1150,1830,651,1596,28,623,3999,396,594,2232,4171,1488,5238,420,651,140,1349,120,6586,456,1173,7,1932,2268,86,1988,680,1311,220,570,168,3999,126,770,36,410,950,228,30,5124,616,3053,546,420,406,497,2585,24,2418,1265,1869,836,93,105,21,1880,623,204,371,665,2280,1320,2232,1032,5796,12,552,888,420,24,540,2418,63,220,651,1932,21,888,1598,994,780,2840,224,1148,651,5106,35,1596,704,360,2562,57,456,86,20,1848,4559,874,748,1386,3550,1848,1258,2726,3612,48,4514,1334,12,483,168,792,34,483,216,966,1802,81,1794,1513,1100,234,420,105,210,1104,3772,1219,546,1,1207,1800,2046,1958,462,42,72,162,228,21,1890,84,336,2024,385,518,805,1722,4650,483,21,2585,207,504,3720,714,6106,4620,12,1349,420,3538,1702,4047,1504,702,312,420,24,704,1696,4371,55,7790,84,450,8148,1491,264,5796,792,1482,7410,918,340,840,357,4028,5162,1296,120,3478,483,24,7452,8556,1349,552,696,1554,950,70,840,216,78,3408,1932,66,1023,7410,744,912,55,1311,6319,696,20,3190,5822,93,21,279,792,2088,204,240,858,644,279,870,564,93,2442,210,336,888,40,420,672,35,315,1403,1320,1656,5112,2752,1860,1806,168}

Returns: "Solution exists"
327

{224,170,36,219,30,301,303,65,12,118,6,165,235,136,230,5,199,178,282,170,108,229,92,76,70,257,218,227,10,96,145,171,76,148,89,243,89,272,134,216,186,326,122,150,224,239,112,107,162,278,98,213,268,57,84,304,289,179,21,299,253,222,79,207,308,247,19,318,168,48,315,106,85,291,50,20,232,142,216,267,135,56,306,318,37,134,70,284,202,203,106,24,11,122,39,16,301,294,55,300,242,89,185,302,20,49,40,153,157,37,137,219,284,262,12,186,171,145,23,116,28,249,196,291,313,164,212,38,72,240,305,79,309,162,213,66,244,110,150,105,306,1,186,257,176,201,165,58,288,34,264,160,0,39,84,159,171,72,257,50,320,33,53,263,4,303,19,50,294,214,240,23,133,45,121,325,193,50,91,177,180,93,181,45,138,72,112,164,134,173,297,249,218,244,188,101,297,203,146,142,61,221,317,131,46,288,298,40,7,222,269,302,1,154,264,265,208,110,15,51,270,317,73,115,303,135,297,181,188,211,276,275,213,72,45,111,301,145,133,161,153,226,25,317,4,15,33,78,48,262,241,300,108,79,189,250,192,246,21,38,102,75,205,171,20,84,288,133,253,122,250,187,72,98,257,302,301,217,212,324,117,140,104,47,260,306,302,167,188,239,82,97,100,92,88,173,147,23,47,4,1,34,252,115,85,104,72,171,249,164,252,259,252,58,122,98,324,112,35,140,40,66,123,219,142,270,306,69,258,82,48,152,139,320,40,28,81,77,176,197,29,273,292,73,325,281,55,244,189,18,27,78,312,303,281,176,168,321,34,271,38,217,275,59,315,19,267,319,123,25,2,31,239,138,178,1,107,264,232,52,106,253,159,120,32,182,129,89,69,251,308,37,65,36,145,151,75,87,249,92,169,175,121,16,78,109,309,301,54,151,87}

{172,90,10,108,325,28,134,36,120,211,142,90,227,275,247,242,98,64,211,315,281,301,13,264,122,94,125,294,283,97,28,104,155,105,211,97,79,118,89,278,31,148,84,96,292,29,124,224,228,307,83,4,106,133,197,120,15,226,219,16,240,84,93,74,8,100,170,157,169,43,147,224,321,147,129,207,66,193,183,51,216,214,312,65,133,257,6,258,186,256,282,245,168,326,164,183,203,197,307,90,80,241,157,212,246,283,278,296,310,294,312,40,120,21,211,271,48,216,117,151,237,181,293,72,79,137,297,304,76,283,60,251,218,302,169,271,314,10,288,135,257,61,238,288,258,43,138,205,11,68,174,177,60,148,265,206,107,235,158,223,294,256,239,40,230,131,261,15,326,142,45,156,290,47,276,261,300,146,204,84,33,150,270,98,119,53,115,159,136,79,290,290,75,118,274,207,200,285,277,253,33,185,194,222,314,320,306,119,193,199,41,33,106,35,159,130,293,300,201,240,159,227,231,27,218,147,213,246,217,319,316,56,253,208,251,119,151,96,307,184,70,160,314,246,115,16,42,178,17,236,72,252,213,5,321,60,38,289,275,165,198,147,271,68,249,228,312,61,239,216,256,188,245,183,18,161,116,22,294,43,140,221,306,166,98,325,226,4,2,63,59,76,79,44,203,107,163,296,48,229,11,44,217,20,154,266,268,167,267,20,272,216,234,131,126,250,176,52,220,36,80,1,180,122,103,61,7,285,240,171,278,320,40,163,98,67,42,169,319,99,298,9,214,238,165,126,43,149,57,44,294,288,277,16,99,280,16,77,72,94,294,93,276,189,140,6,223,94,326,150,114,15,298,211,130,274,161,80,68,320,296,78,205,215,235,314,106,40,253,74,32,109,242,217,276,50,108,19,242,284,78,104,149,270,132,300,68,125,278,288,318}

{2,1,2,1,3,1,2,1,1,1,1,1,1,2,1,2,1,1,2,5,1,2,1,1,1,1,2,5,18,7,1,1,1,1,7,1,1,13,1,1,2,2,3,1,5,1,1,1,1,1,5,1,1,1,2,1,1,2,1,1,1,3,1,1,1,1,1,1,1,3,1,1,2,1,11,2,1,1,3,1,1,2,1,7,3,1,4,27,2,1,1,3,1,1,1,1,1,1,1,3,10,1,1,1,2,5,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,4,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,36,2,1,1,1,1,1,3,3,1,1,1,17,2,1,1,1,1,2,47,2,1,1,1,2,1,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,3,1,1,2,1,1,4,2,1,2,44,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,6,1,2,1,3,1,2,2,1,1,4,6,2,2,2,1,2,1,2,1,1,1,1,1,1,1,4,1,1,1,2,15,1,1,2,1,1,2,1,1,1,4,1,1,1,2,1,2,3,1,1,1,3,1,1,6,1,1,2,4,1,1,3,1,4,3,1,1,3,2,1,5,5,1,1,1,2,1,1,1,2,1,1,1,1,2,2,1,1,6,1,1,3,1,1,1,1,1,13,3,11,2,2,20,1,1,1,1,1,1,1,1,1,1,1,10,1,5,1,1,1,6,1,1,1,1,1,1,1,1,9,2,12,1,6,1,1,1,3,1,1,1,1,1,1,4,1,4,1,1,3,2,2,1,1,1,5,2,4,1,10,1,1,1,1,2,1,1,1,1,1,1,1,33,3,1,2,1,1,2,1,2,2,1,1,3,5,3,3,1,4,1,1,1}

{2300,2295,468,5162,1044,4028,2728,546,553,910,732,2241,1470,240,2774,2400,3185,2494,2590,340,1334,3268,6958,1450,2244,2697,1188,195,180,504,53,2397,1711,1316,630,280,2961,65,5544,291,2812,28,198,126,1700,5135,5544,4700,2100,3007,130,1235,630,1140,846,182,5133,1968,3204,1275,136,558,2585,1012,4653,3154,1955,2093,1752,1140,1660,700,264,5561,55,660,1078,5917,87,2162,24,2132,1281,1050,114,2728,204,54,74,3760,518,1170,600,66,7905,2175,3572,6110,217,270,100,3339,1403,166,960,90,3880,2378,1150,390,5795,3560,378,612,5530,962,2820,3,5700,5300,4982,960,2254,804,893,8835,4897,1222,348,360,3975,94,3942,100,1387,286,198,72,18,376,651,9312,5254,558,864,1710,5395,1426,450,85,1200,3599,3450,2380,666,704,47,588,2418,286,2405,1040,6045,240,4745,1798,437,649,130,3172,72,2660,1140,423,3900,684,2910,825,427,1098,182,110,660,585,2470,372,4774,5952,264,3948,1180,320,54,234,1380,88,590,1363,6225,1037,2522,1220,60,2697,341,666,861,760,194,4557,2030,26,672,748,1600,3478,2254,360,5310,376,3520,60,657,2914,1674,664,1121,960,240,210,1300,3280,323,276,18,342,4028,63,1767,310,2788,4838,176,192,4030,1475,1274,2838,180,1343,636,1230,1102,4512,946,6825,4606,5568,720,7802,8300,166,806,3995,960,126,1098,5529,1105,33,7280,1770,156,5655,2604,62,1900,3504,5395,1425,4200,280,357,3243,3510,252,82,5330,330,1105,1914,1624,3901,1176,2961,3948,415,2204,2820,5590,2400,408,1968,930,408,3009,180,3854,1472,930,5330,75,3690,667,1551,455,2400,385,1716,728,40,1056,70,2937,1464,5335,42,1392,216,1034,5820,2294,200,185,520,5194,3969,3139,96,3102,3239,5551,4420,5183,2988,1081,399,54,860,168,6110,198,5063,1550,759,1824,600,946,204,2262,6110,2640,1040,7482,280,276,598,174,10,16,2255,4484,2665,910,4042,2208,2914,100,8330,2035,406,1122,1984,623,3234,1067,385,2520,816,46,99,198,273,624,52,583,58,1840,1600,2646,4818,2346,675,275,1650,990,6205,836,6208,954,7280}

Returns: "Solution does not exist"
162

{128,12,78,80,113,7,88,69,33,16,43,87,126,61,140,146,69,55,35,16,147,78,77,111,156,57,125,160,102,104,117,159,105,9,78,136,63,140,151,27,40,144,134,130,141,146,150,153,22,149,86,71,122,54,85,77,29,94,40,90,69,53,114,89,71,83,31,109,152,30,29,85,4,120,54,81,58,58,20,23,161,99,80,31,143,30,90,44,21,25,138,94,60,88,72,48,142,0,83,141,94,3,42,1,0,126,70,39,124,38,114,0,49,134,53,42,104,15,119,98,93,6,56,127,119,101,152,5,92,126,39,25,21,117,29,160,96,86,74,49,149,70,38,74,65,61,17,34,70,155,118,109,155,10,14,120,3,124,96,114,69,111,44,20,135,7,59,38,118,139,98,91,101,117,142,5,140,92,31,82,18,160,91,51,103,93,101,79,94,23,153,49,111,20,124,83,53,14,139,91,46,65,49,159,88,77,59,4,70,86,86,120,58,107,16,97,70,90,59,42,160,115,108,146,69,111,65,97,126,15,89,107,6,65,39,137,0,42,75,144,76,97,51,99,134,52,55,148,99,72,150,22,21,13,91,48,40,99,98,152,160,136,50,85,93,142,10,56,121,15,84,50,74,77,39,84,76,34,20,90,66,66,114,45,160,0,34,152,13,59,23,12,138,161,152,97,161,69,150,80,60,115,94,138,41,143,105,121,107,154,56,135,111,160,107,118,69,61,96,150,80,39,70,125,52,76,138,66,83,96,24,43,57,136,33,87,159,5}

{67,99,145,57,61,57,130,110,67,135,79,41,90,120,40,103,12,133,50,128,17,143,122,86,78,146,77,95,30,106,34,59,50,53,41,132,116,28,50,54,30,3,84,23,78,161,159,38,25,33,68,13,39,110,14,26,124,56,89,36,118,145,134,135,7,158,42,46,80,9,45,18,129,154,160,102,14,38,37,6,153,8,67,142,27,18,72,138,114,142,69,48,81,8,32,84,39,124,42,27,89,92,117,4,46,42,5,133,13,117,24,154,60,141,63,67,1,6,24,149,30,111,144,33,128,17,7,100,108,125,62,1,8,94,128,158,137,102,45,65,21,34,6,45,125,93,50,133,125,144,103,89,22,47,8,34,2,152,37,2,36,33,157,123,59,61,155,114,159,155,111,32,111,63,84,149,99,132,9,23,86,36,11,30,145,113,39,161,132,34,26,21,23,23,156,34,17,59,93,142,75,10,72,21,18,25,149,66,159,142,17,109,11,150,131,1,154,4,25,54,138,66,92,84,158,48,24,9,78,140,51,38,14,114,75,42,135,27,146,16,139,69,13,27,124,72,101,91,140,80,53,122,12,36,4,67,67,50,70,60,119,33,77,125,64,151,131,109,94,115,26,21,161,62,54,78,87,92,57,89,104,154,45,76,139,4,115,109,56,54,95,11,140,69,62,37,84,135,73,17,137,63,25,89,22,130,86,43,91,41,21,112,105,105,58,18,71,12,151,142,16,148,100,152,112,68,46,53,57,98,111,11,101,43,96,72,28,26}

{1,2,3,1,1,2,1,5,1,1,1,1,2,1,1,1,13,1,1,5,5,1,7,1,9,11,2,1,10,1,1,1,6,6,1,1,2,1,1,1,1,3,1,1,3,1,2,1,1,4,1,1,3,1,2,1,1,1,1,2,1,6,1,1,6,19,1,1,1,2,1,2,8,1,1,5,2,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,17,8,1,3,1,15,1,1,3,1,1,1,2,3,2,1,1,2,1,2,3,68,1,5,3,1,1,36,3,4,1,1,1,4,2,1,1,5,1,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,3,1,1,3,1,2,1,1,3,2,1,1,2,1,2,2,10,1,1,1,1,1,2,1,1,4,2,50,1,17,10,1,1,1,1,1,1,1,1,1,1,1,1,2,1,11,1,1,13,10,1,2,2,1,1,1,2,23,1,2,8,2,1,1,1,2,1,1,1,2,1,2,9,1,1,1,2,1,1,17,1,1,1,5,1,1,1,4,1,1,1,1,1,1,2,9,1,7,14,1,1,8,2,1,1,1,2,4,1,1,1,9,1,1,1,1,1,1,1,1,5,1,1,1,2,2,1,1,1,1,1,3,1,7,1,2,1,5,3,1,1,1,2,1,4,2,1,1,1,1,1,1,1,2,1,1,30,2,1,2,1,2,7,2,1,1,2,3,1,1,1,2,1,2,6,17,2,3,2,1,5,1}

{6930,104,180,1628,4760,1980,5460,975,6732,6045,2244,2090,3384,1400,6097,7029,130,7275,1032,910,55,1665,630,930,135,396,1260,376,450,7802,119,630,120,432,1710,9114,124,1675,1848,364,4550,405,3280,3108,585,2475,460,6083,2700,1292,2914,2184,1260,6825,100,210,3127,549,6643,3948,130,108,3120,6789,360,76,102,6111,1221,1200,2968,52,280,1400,728,90,1200,3696,2635,296,1975,664,3663,26,148,650,4042,1037,1443,1300,1105,1952,20,5395,2322,1312,780,649,969,156,4453,891,51,448,1067,1224,8544,300,5369,1309,936,616,180,3120,1674,1683,3008,376,2952,2356,850,120,45,68,2870,10,990,178,66,72,1020,1600,3071,1037,3710,152,1428,2790,2968,495,2812,672,616,2968,1980,952,120,525,288,960,142,4599,1728,1155,4150,175,405,1947,3570,195,5460,1020,3477,155,1953,2520,4032,3003,10,4288,930,2646,30,1054,1066,6764,536,1078,48,3552,806,168,1666,50,852,85,60,1100,5978,259,237,1665,1110,1147,1593,133,270,3150,1139,1274,4559,385,1935,370,130,700,4788,728,480,806,155,1575,816,92,5395,1856,672,2632,6300,4641,136,754,66,4059,4940,480,3960,1392,360,3149,3650,1771,200,2145,2820,204,1023,204,4653,195,1675,3770,4550,8,4720,3784,970,7154,536,1591,2484,189,962,1092,392,3168,9009,24,2976,132,328,6324,840,36,731,2002,6391,63,1159,2726,123,888,1325,3570,5460,1845,275,77,1364,6862,1222,728,2184,1400,536,616,406,693,819,819,1739,442,1139,325,561,4930,1025,6045,2668,185,68,1798,6100,1241,1026,3108,930,969,2254,1064,333,1767,30,120,1104,26,1560,728,462,1196,2405,4380,96,396,1672,2350,1649,702,836,1302,360,102,220,1581,1428,2365,50,267}

Returns: "Solution exists"
200

{111,80,46,78,169,39,79,27,83,136,172,81,156,157,32,82,48,25,176,123,54,77,125,8,97,181,35,95,40,64,181,113,133,196,47,100,121,40,194,115,79,88,20,60,5,180,181,17,94,193,138,136,51,15,182,27,149,97,124,1,140,184,23,59,43,128,67,23,105,106,81,89,146,57,150,141,189,101,140,94,84,122,184,146,38,57,26,171,168,30,33,160,175,129,132,42,0,78,10,152,153,61,82,76,93,123,12,139,84,118,167,184,168,173,72,81,41,86,26,193,154,53,32,181,82,60,20,95,180,197,132,6,47,146,128,115,71,182,173,54,122,122,101,111,148,153,52,54,67,67,100,27,52,85,51,54,12,120,88,97,7,118,1,121,85,184,24,105,88,147,17,70,112,46,198,180,143,86,51,159,5,114,18,91,92,199,128,53,101,5,15,80,26,191,74,185,50,48,68,19,97,81,177,52,148,44,130,46,17,84,181,142,197,58,164,120,188,81,58,138,38,123,1,189,28,18,54,135,142,160,34,51,104,64,35,15,177,82,122,149,91,35,107,99,133,83,8,99,4,37,78,147,157,170,158,190,157,183,61,58,42,130,85,144,31,24,25,159,92,82,45,9,131,52,172,172,20,85,168,162,18,122,118,106,12,91,118,197,5,84,0,58,181,45,162,58,117,10,99,68,39,148,155,3,155,126,40,27,51,49,179,95,96,40,16,190,107,13,130,105,181,107,157,87,111,113,194,2,83,149,87,175,176,94,60,81,99,97,55,7,128,70,193,33,117,80,199,55,160,112,25,99,12,50,38,82,128,191,158,70,199,121,175,127,153,162,81,53,177,126,82,40,13,164,178,193,146,177,40,78,141,85,84,105,106,100,130,66,49,86,13,72,91,159,194,92,162,167,193,7,127,188,32,6,146,163,55,77,93,155,133,114,105,106,137,173,23,22,170,39,72,86,104,168,95,37,128,119,113,46,116,13,164,75,1,34,149,116,191,103,192,118,85,139,52,73,66,167,172,34,13,57,47,199,157,100,33,189,178,6,136,85,59,97,24,195,133,67,96,22,106,6,186,187,120,177,70,194,102,133,80,134,194,89,6,49,182,30,43,127,158,171,142}

{0,13,93,172,47,88,75,28,73,141,156,198,25,59,38,99,197,96,128,152,127,41,72,152,71,139,119,48,55,197,48,178,78,116,157,107,150,54,178,85,158,63,95,109,96,102,122,77,188,97,99,139,107,149,6,105,29,119,85,27,172,62,68,68,6,199,35,2,95,48,31,173,20,85,145,196,50,198,21,104,125,14,132,198,17,69,179,1,109,31,154,126,170,196,38,183,72,30,183,145,18,166,170,182,77,199,152,43,149,73,134,59,88,103,171,178,17,90,149,154,119,28,69,122,43,149,14,130,149,90,137,144,39,57,148,79,64,54,86,19,147,105,141,78,174,141,113,109,20,115,94,59,187,13,86,174,198,155,68,133,92,10,154,120,63,48,100,120,134,73,131,42,107,117,75,9,166,15,5,73,153,168,141,29,89,138,181,193,59,133,193,1,5,174,169,112,9,187,146,42,118,104,85,147,46,85,182,53,24,133,7,133,128,17,34,158,186,139,115,6,99,116,60,124,112,78,70,144,45,2,86,131,136,139,166,19,195,169,96,24,197,120,167,138,73,86,102,160,85,137,126,154,45,54,157,112,118,139,129,121,27,110,41,93,156,91,173,27,138,178,97,92,116,15,13,150,100,80,120,195,147,66,8,167,1,181,60,189,110,155,67,66,124,38,178,80,162,87,58,188,139,71,183,105,93,73,26,19,138,86,16,77,114,80,137,188,127,16,26,129,96,177,187,83,23,66,185,130,155,39,53,173,182,56,4,29,160,105,101,8,66,144,134,0,180,51,103,41,96,159,157,190,164,66,145,164,28,90,63,197,54,139,143,199,100,94,55,146,29,132,118,166,77,7,35,10,120,193,116,38,99,27,16,115,19,8,45,13,123,127,98,184,59,68,127,0,140,159,152,191,133,28,6,155,17,114,61,38,94,180,167,140,144,155,136,192,116,65,8,55,181,136,92,11,122,185,21,162,70,45,127,181,183,184,12,25,80,121,143,193,47,163,65,122,87,159,79,133,127,87,137,193,153,165,196,151,12,34,162,188,171,159,29,178,11,40,96,71,145,164,22,5,2,78,168,112,105,7,147,27,108,74,88,19,143,110,115,123,144,112,196,94,9}

{4,1,1,1,1,1,1,1,2,1,1,1,9,1,1,1,1,2,6,1,4,2,1,1,7,1,17,1,1,5,1,1,1,2,2,5,1,1,1,1,8,1,1,11,1,1,1,2,1,2,1,11,4,1,1,1,1,1,1,1,2,1,30,1,3,3,1,2,2,1,2,1,1,1,1,1,8,5,1,1,1,5,1,1,1,1,3,1,1,1,2,16,43,2,1,17,1,1,1,1,4,10,1,8,1,1,1,1,1,28,1,1,1,1,1,1,2,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,4,1,4,1,1,1,1,1,1,1,2,1,1,1,7,2,97,1,1,1,8,1,1,4,1,1,4,1,1,1,2,1,1,1,1,4,2,1,1,1,1,7,4,1,1,1,1,4,1,2,1,1,1,2,1,3,1,1,7,1,1,4,1,14,1,1,1,2,1,1,3,1,1,2,1,2,2,1,8,1,1,1,1,19,1,1,4,1,1,1,5,2,2,3,1,3,1,1,2,1,1,1,1,5,1,10,1,1,3,1,1,1,1,1,1,2,1,4,1,4,1,2,4,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,2,1,5,28,2,1,7,7,8,7,1,1,5,14,1,1,2,44,1,1,1,1,1,1,1,1,8,1,11,1,1,1,10,2,1,1,1,4,1,1,2,2,1,4,1,2,1,1,1,2,1,1,1,2,1,1,1,1,2,2,8,1,5,1,2,4,14,3,2,2,4,2,19,2,1,1,1,1,9,6,5,1,1,1,1,5,1,2,1,1,8,1,1,1,8,1,1,32,1,1,1,1,1,1,1,22,1,1,1,1,1,1,1,7,60,2,4,2,10,1,3,1,1,1,1,2,6,2,1,1,4,1,2,2,2,1,1,2,1,1,2,1,3,1,1,5,1,3,1,1,2,2,1,1,1,1,3,1,2,7,2,2,2,1,1,1,4,5,1,2,1,1,1,2,1,4,1,2,1,1,1,3,1,1,1,27,1,1,3,2,1,1,3,1,7,1,1,1,6,1,1,1,1,1,4,1,13,1,1,1,4,4,1,1}

{2300,1358,1590,350,534,1258,360,6083,168,2409,450,950,90,4508,437,475,2280,90,546,1207,1748,70,3358,3976,42,1078,17,570,4814,760,5586,299,119,3116,276,1900,5508,6308,1170,8827,360,2886,770,462,42,124,6370,370,329,350,1273,33,1400,994,1296,6314,5183,238,2716,2233,1150,37,60,2940,1053,546,1581,1410,410,1254,1520,7476,2464,5141,5508,5548,96,200,1518,141,322,1300,56,800,1406,2120,138,2088,3102,3440,1786,192,43,2356,1064,17,7300,301,1479,4828,400,700,1075,80,530,357,5254,429,497,56,6790,49,1739,3204,5256,494,518,1377,4899,950,646,5451,920,6370,975,5467,7700,370,284,3240,56,8100,102,1696,1716,3640,1995,304,4539,836,4615,5330,2920,644,4268,7300,1702,2508,7161,8463,4465,539,2072,97,2856,7372,1850,64,2220,238,528,2436,1102,1088,7566,57,2565,2624,3589,3976,6586,255,1400,1320,225,244,9100,714,168,840,2100,282,1168,2555,924,1407,3822,3450,1960,357,350,406,483,6111,1602,616,1464,3192,480,748,28,114,3007,5254,660,7275,592,690,1998,119,2352,646,1560,1480,4872,576,665,418,3640,5427,19,1394,2233,224,4424,112,1140,1100,646,2256,1479,4984,33,1045,1700,308,62,2225,130,1917,280,1088,700,1273,952,102,1736,912,6887,47,448,2698,1564,3268,1656,1064,644,187,2170,680,1309,3367,1358,5300,720,945,8010,4620,2948,325,238,2684,7298,518,4850,4050,7315,1358,3008,44,1136,325,56,770,2146,490,308,160,273,56,9300,200,196,646,572,280,88,1131,760,420,374,924,136,7954,424,448,5727,308,3752,1326,570,10,6,1162,95,133,2300,9215,2553,2542,98,3100,1288,78,1380,575,6930,3478,24,2414,897,3827,336,3290,5467,2774,912,574,1160,336,1950,300,4850,4700,88,56,252,406,48,840,4140,19,2072,600,1292,1400,6162,567,936,120,1596,748,3913,1932,1900,2068,1102,2208,2263,448,700,8300,970,336,221,4350,64,1550,6806,133,1387,7469,665,7462,44,5320,1258,2425,442,4692,6887,73,245,60,4140,1100,1012,420,3550,1008,1564,553,1863,648,1184,30,2030,190,2491,8,1190,138,4100,88,33,1780,1230,3127,2408,986,7154,561,132,1269,130,3619,858,748,345,510,3772,9506,952,9,2146,2610,994,2788,819,900,60,420,5141,715,962,840,200,1190,2300,1131,97,2650,300,1848,1748,95,3478,2784,572,567,792,5820,3577,182,27,166,34,651,68,3304,1298,567,8930,56,3008,1736,1230,720,2201,1309,1386,1746,3330,924,7371,182,1456,731,3900,1288,1368,3384,2318}

Returns: "Solution exists"
463

{227,185,293,329,407,141,389,436,190,326,404,427,213,165,24,372,261,430,176,340,306,322,160,26,256,345,170,105,72,313,197,82,158,444,141,157,191,423,421,85,49,226,258,377,349,394,84,28,35,36,313,125,141,412,364,226,180,380,114,338,88,337,125,312,70,363,25,366,227,430,75,411,180,38,31,319,138,27,320,395,223,332,383,70,371,217,293,126,400,200,286,323,164,90,26,149,157,153,310,372,194,353,336,136,424,184,405,450,144,288,330,47,202,102,250,123,28,350,326,369,45,191,46,114,262,297,389,447,76,53,358,230,266,97,412,328,187,445,282,113,188,9,208,56,162,263,312,93,219,8,201,386,233,95,5,303,57,7,28,391,126,20,70,388,333,312,2,382,234,420,238,325,268,57,119,389,49,168,76,390,438,374,298,356,197,193,31,17,80,49,209,265,218,440,449,186,2,189,167,126,331,459,207,177,201,86,53,369,200,168,405,212,44,388,251,69,233,331,20,415,260,398,0,432,82,345,113,428,88,274}

{416,2,4,442,412,24,144,199,97,422,191,334,159,135,164,318,235,357,363,374,232,299,333,396,307,389,368,135,360,213,168,81,64,287,99,325,65,314,333,314,397,146,263,157,93,173,386,134,332,390,81,153,167,376,276,403,458,238,11,18,21,402,244,46,178,84,65,58,221,32,316,175,425,197,380,40,233,426,57,346,230,342,190,125,216,171,423,98,225,227,207,217,53,81,376,52,179,346,305,111,31,462,22,59,242,25,98,67,124,45,425,383,26,56,177,159,104,110,203,438,348,381,370,422,217,69,279,269,19,416,59,251,363,188,124,213,302,81,183,249,203,68,32,378,354,14,378,87,409,126,42,245,423,291,408,398,198,18,415,374,296,172,89,277,261,134,447,453,204,172,402,209,267,317,332,224,133,418,278,283,34,332,296,221,161,444,304,191,111,285,141,431,145,135,306,270,88,272,171,204,296,390,131,420,141,230,332,306,459,258,424,328,272,92,4,368,80,432,323,388,359,58,173,221,162,184,443,176,427,34}

{29,1,1,2,2,1,1,4,1,2,3,2,1,7,1,3,8,1,3,1,6,1,1,19,1,1,1,1,13,1,1,1,1,4,2,3,5,2,9,13,1,1,1,1,1,2,1,1,1,1,1,1,3,1,1,1,2,1,2,1,1,2,1,21,6,1,1,1,1,1,2,5,2,1,2,2,12,1,2,1,1,1,20,1,2,1,1,4,1,1,3,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,3,1,1,10,2,1,1,2,3,1,2,1,4,1,1,5,3,2,2,2,1,3,1,1,1,1,1,1,1,7,1,1,11,2,4,10,1,2,1,1,1,3,1,1,1,1,4,1,1,1,2,2,2,1,2,4,2,1,1,3,1,1,4,22,1,4,1,2,1,1,2,1,1,2,1,3,1,1,1,6,2,10,1,1,4,4,4,3,2,1,1,1,1,4,1,1,1,2,3,3,1,2,1,1,1,1,1,1,1,2,4,3,3,1,1,1,2,4,1,7,1,3,1,2}

{29,1554,2449,1320,92,912,1190,96,3640,576,1710,798,1785,630,817,1980,8,2520,1767,3354,156,1102,2592,76,2233,238,4218,1827,273,3045,1184,34,140,312,1392,240,1170,260,81,26,2310,754,511,1320,5418,30,3871,2322,168,462,87,4672,1104,52,4980,884,714,1050,644,638,150,672,1387,21,420,4503,4485,774,1856,2680,4,1360,918,2701,658,364,252,4947,84,602,420,24,200,2190,2214,800,1580,312,504,87,759,1248,602,38,247,667,660,448,2550,4740,2256,2752,658,366,7298,6279,792,2511,3290,90,270,4300,665,3948,348,51,3870,2185,448,1488,310,990,273,252,992,1144,493,1584,3572,406,5490,1140,4731,5460,188,280,114,32,308,748,420,280,938,3478,3540,2336,1554,1953,3162,2838,4047,441,420,73,861,1020,364,682,1978,4290,52,792,1110,37,648,189,1776,165,264,44,1050,48,7371,630,105,102,924,608,1880,364,7626,78,70,64,3441,360,1222,360,5372,462,48,168,96,1071,3354,164,2775,1925,1725,156,114,266,6693,132,912,15,42,624,57,224,8118,56,1025,72,2356,3256,1428,1596,936,46,3713,1290,22,1344,2006,182,34,186,2850,2788}

Returns: "Solution does not exist"
454

{358,200,132,74,259,409,94,283,436,347,373,111,279,244,45,76,122,348,32,409,360,3,316,153,21,262,388,98,210,124,192,322,424,452,407,211,125,203,51,373,225,393,222,61,142,263,229,386,426,203,74,215,369,416,365,284,358,257,435,368,90,390,312,83,40,388,5,181,176,237,208,38,350,92,300,306,317,339,429,360,122,81,96,230,158,273,74,311,216,82,176,294,49,422,159,415,8,283,209,93,24,250,285,267,60,144,417,150,94,393,411,126,30,279,331,263,185,0,384,336,308,299,431,426,224,403,269,186}

{234,256,276,250,249,307,122,366,311,180,130,437,32,204,380,414,27,423,434,222,15,211,289,439,321,375,328,377,378,57,415,387,29,226,452,31,159,144,330,253,17,264,207,211,426,159,240,370,217,75,217,267,452,165,424,18,261,325,104,242,41,437,156,329,308,196,144,334,402,70,3,120,160,104,220,255,194,421,379,83,297,203,352,266,249,405,149,428,355,112,56,0,234,391,452,162,54,7,206,114,111,196,444,236,25,85,44,282,296,443,450,204,178,160,351,22,3,21,251,220,203,58,0,213,415,141,68,183}

{1,6,6,1,1,1,1,1,1,17,2,1,3,2,5,1,1,1,1,1,1,1,1,1,3,2,1,3,2,2,1,3,1,1,1,1,2,4,1,2,1,1,1,1,1,6,1,1,1,1,1,1,1,2,1,1,3,2,2,2,1,1,5,2,2,1,4,1,3,1,8,1,1,5,4,1,1,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,1,1,1,2,1,1,1,4,4,2,1,1,12,1,4,2,3,1,1,1,1,1,6}

{408,936,504,1056,938,3927,4042,882,969,340,4,2769,144,1568,120,43,1739,1122,63,7315,2318,7480,118,1173,12,56,1888,420,1110,3290,195,1170,1650,649,5782,6120,1080,208,4606,58,1518,3363,1520,7055,1095,540,2436,25,5183,16,2343,2067,4484,2444,2550,4095,24,3588,580,3384,3828,1917,1170,966,1786,4543,832,5335,198,370,176,6716,5244,380,828,6248,6,876,156,2562,4465,144,1026,66,322,4692,3003,57,82,660,2640,3096,714,4020,3186,585,1845,306,2310,2596,2496,2464,728,1961,560,468,2960,2622,3870,3534,3276,9114,280,1104,88,3180,2728,72,1162,1656,752,189,4680,6205,2080,395,3640,924}

Returns: "Solution exists"
432

{8,411,378,334,268,316,272,310,186,385,148,409,163,152,346,328,430,197,43,311,341,350,48,287,287,75,349,269,180,79,192,247,162,355,367,202,110,290,289,260,67,398,100,55,321,376,7,409,280,282,159,275,193,349,38,67,134,227,167,330,38,159,371,414,34,136,175,328,402,250,83,103,96,212,285,316,27,122,252,204,390,277,22,402,231,191,35,170,248,248,111,246,377,403,75,429,44,137,77,119,232,117,267,274,23,38,196,129,376,257,56,88,222,60,203,113,286,84,342,329,37,72,325,51,431,44,138,180,305,71,297,118,33,324,154,134,105,37,202,310,215,364,362,59,304,64,46,192,104,382,319,257,235,405,362,112,24,200,127,84,160,416,163,229,332,408,255,114,260,160,398,107,281,378,226,23,204,16,288,271,372,236,31,129,380,190,301,94,242,169,315,28,26,22,92,197,73,304,377,6,314,263,416,273,220,382,337,219,146,412,335,271,338,430,197,25,279,195,191,59,351,143,268,364,45,169,275,292,280,45,171,306,250,289,118,402,181,309,311,195,53,61,14,323,53,81,121,332,293}

{75,206,379,258,59,45,102,140,384,50,378,345,262,19,187,86,427,392,403,54,370,283,414,224,431,46,364,106,390,184,282,372,185,293,267,421,196,67,390,21,263,273,309,430,247,134,229,367,155,427,74,28,15,364,424,188,356,187,379,218,270,301,336,4,293,347,202,175,325,418,126,369,78,180,230,421,84,245,98,43,272,302,163,310,269,109,110,92,379,51,399,393,208,293,83,76,290,268,157,360,335,21,146,116,229,66,13,220,106,183,428,302,357,301,337,78,131,402,257,275,420,391,377,231,395,49,180,59,209,249,134,256,354,108,52,271,254,363,393,82,250,60,3,409,125,103,340,326,83,122,322,241,429,22,39,37,191,287,386,128,177,80,164,343,350,37,147,321,392,239,346,423,162,340,231,218,117,412,125,413,76,277,288,22,136,64,203,145,220,97,429,190,354,323,7,398,260,306,31,346,243,431,113,268,212,335,153,419,46,108,234,403,158,51,43,179,52,261,228,62,339,134,69,418,4,401,127,164,243,146,9,330,112,29,95,47,78,184,3,25,200,317,25,410,325,67,247,401,373}

{3,2,1,1,1,2,1,3,12,11,1,1,1,2,1,4,1,2,2,1,1,13,1,2,2,12,1,3,1,1,2,2,1,4,1,1,11,1,1,1,1,1,10,1,1,1,1,1,1,16,2,6,19,1,2,1,77,1,10,1,1,2,1,1,8,1,2,4,1,7,1,2,1,10,16,1,3,1,6,2,1,1,19,1,2,1,1,1,20,5,1,2,1,2,3,1,1,1,1,2,1,2,1,30,1,1,8,2,1,2,1,1,1,1,2,1,1,1,6,2,1,1,1,1,2,1,1,2,2,2,1,2,1,1,1,1,3,1,2,1,1,1,1,1,1,1,3,1,13,1,3,1,2,1,1,1,1,2,1,3,1,2,2,16,1,1,1,1,1,1,4,1,3,1,1,1,2,1,2,4,1,3,1,1,1,1,2,1,8,1,1,3,1,1,1,2,1,1,1,4,1,2,2,1,2,1,2,1,4,1,3,2,1,1,2,1,1,12,5,12,9,1,1,2,1,1,2,2,1,2,8,7,7,3,1,1,3,2,1,4,1,1,1,1,9,1,1,6,1}

{180,1394,2460,1071,264,396,1105,390,180,220,3321,1513,570,3432,1276,560,2848,1196,1488,582,777,260,282,72,18,480,392,330,730,4278,3760,4100,966,176,6035,490,88,102,4599,3538,48,2044,140,3916,8900,1463,7280,1207,1316,160,252,234,190,392,1026,60,77,174,300,238,1558,1148,4482,237,80,1288,460,644,5238,462,78,290,6693,10,320,1764,15,4620,288,336,1241,3276,38,3783,3102,320,1045,1675,300,900,3285,1900,355,496,780,1276,1326,781,3021,390,1680,348,7820,90,6160,2926,88,48,285,684,348,2756,189,6314,3060,1380,5673,291,198,828,59,2208,270,4230,126,2769,410,120,820,1848,2079,3608,1159,970,3774,5852,324,2006,190,3198,2618,616,255,408,438,910,1248,4794,195,2849,93,882,924,1577,6460,5369,220,94,14,81,5490,228,1824,320,6240,3540,46,8544,3172,630,308,744,462,1599,2162,2618,84,5135,66,152,2378,126,2002,114,966,6825,3690,5723,144,26,2948,1950,798,1843,2275,644,2562,511,455,440,316,144,380,803,80,1776,476,9215,2208,6305,912,2356,1892,4005,1104,4420,1020,252,55,24,198,2233,957,168,1738,78,126,3360,2212,1012,672,7,1001,1260,6150,2328,138,620,291,1092,4230,1020,1508,679,270,228,7700,1248,336}

Returns: "Solution exists"
75

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

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

{2,1,1,1,6,1,1,4,1,1,1,1,1,1,1,1,1,6,1,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1,15,1,1,1,1,1,1,1,1,1,1,3,5,1,43,3,4,1,1,12,1,1,1,1,1,1,2,1,1,2,1,1,1,1,4,1,5,1,4,3,6,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,2,3,1,1,1,2,1,1,2,3,1,1,1,27,7,1,1,1,1,1,1,1,1,7,1,1,1,4,1,1,4,3,7,2,1,1,1,1,1,9,1,1,2,1,1,5,1,1,1,1,28,1,1,1,1,1,7,2,1,4,2,13,1,4,1,1,1,1,1,1,1,2,7,5,1,1,1,1,3,1,1,1,3,1,1,6,1,1,1,1,3,2,1,1,3,1,1,3,1,1,5,2,1,2,4,1,1,1,5,7,1,1,1,1,1,3,12,1,1,1,1,2,3,1,3,12,1,1,2,1,25,1,1,1,1,7,1,1,1,1,2,1,1,1,3,1,1,5,7,3,2,1,1,2,1,1,4,12,27,2,1,1,2,6,1,1,2,1,1,1,1,1,1,1,1,3,1,1,1,2,1,2,1,5,3,1,1,1,1,1,1,1,1,1,11,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,27,1,1,4,1,1,11,1,2,4,1,1,1,1,1,1,72,1,1,1,5,1,6,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,3,1,1,1,1,1,1,1,1,1,4,4,1,91,1,1,1,1,3,2,1,1,1,5,1,1,1,1,3,1,2,27,1}

{3096,3705,5112,4845,528,1775,3526,552,1204,4272,4402,3834,4656,4165,2210,2484,3245,360,4248,1269,2088,1932,5475,5427,6319,510,3913,4130,1917,6900,2530,4845,4316,4420,75,5110,6097,5428,1836,94,7050,170,2190,2695,1925,432,325,1560,86,1368,156,75,5244,360,756,9021,945,3834,8554,5148,2256,5561,1128,4324,2716,9118,7055,590,1092,1971,110,5146,408,675,264,3818,6106,1404,2484,1488,5110,3948,370,1610,2300,1700,8633,5775,3658,4380,2679,1032,270,2665,6732,4650,868,6237,270,70,432,5025,888,1885,27,539,1848,8366,5256,9603,34,1392,2775,93,455,3055,150,3366,884,5762,420,312,675,364,1886,1164,1593,3995,1245,41,216,780,910,2924,675,2664,660,7735,830,645,2788,84,3149,6164,270,7275,3196,385,460,5964,644,2538,455,945,1656,1363,490,2537,5610,5460,2457,4161,1612,455,425,6450,2670,4902,4422,1650,3450,2183,3589,135,1404,5544,462,3526,725,4902,7275,1800,1740,94,2065,744,4845,65,1368,2130,6675,780,12,54,3854,504,3854,1978,3367,350,196,1674,1404,7802,7161,4686,2268,24,2457,6532,1475,3034,420,600,3404,2604,60,4355,2322,3036,6532,75,3675,2365,6674,28,637,5644,3526,2813,7055,140,6790,4565,2730,135,7565,94,1275,490,837,2494,2021,2730,3096,1269,66,364,504,54,372,162,5590,2256,240,1242,1755,2214,2059,2130,2241,2225,6097,2100,83,8366,108,8415,6059,8366,3384,3290,1508,3010,150,405,2241,71,5187,3953,2726,1485,2726,8366,1470,693,3901,1050,4042,3283,4980,6035,2701,114,6402,986,1410,12,75,3450,5986,2457,27,1938,1075,552,4368,7719,330,2905,2236,364,6045,5183,5256,918,4277,7820,72,1350,2849,8415,170,5073,504,30,8556,2520,5022,6110,2241,7050,2300,1380,2773,1711,5256,4042,6900,1566,5874,590,5980,1755,918,360,60,7636,300,2442,4897,2380,3384,114,6552,3431,3675,7452,276,504,3321,91,705,1885,4186,8372,108,3102,4615,3135,4257,455,4779,5005,999,7138,1200,8827,1290,27,2555}

Returns: "Solution exists"
392

{242,66,34,302,96,197,58,167,5,158,391,365,28,132,156,217,146,0,207,150,216,259,46,278,85,269,55,309,281,327,390,364,219,90,220,135,173,229,26,199,379,35,10,224,247,346,318,156,151,190,47,95,133,220,160,49,86,15,24,151,149,230,59,66,221,244,194,358,74,39,278,188,336,162,305,369,266,179,157,341,285,357,19,69,259,279,86,42,336,179,165,151,368,88,348,366,239,8,268,340,48,211,46,56,47,267,284,185,190,86,329,317,267,335,235,98,16,124,264,297,179,377,142,294,60,388,74,145,274,351,50,152,245,234,195,355,77,86,356,150,42,195,72,347,290,338,32,373,70,60,39,150,141,377,252,306,312,362,4,18,156,272,85}

{0,1,260,321,129,326,87,22,143,7,210,312,54,237,89,135,275,387,175,277,202,356,95,151,387,160,213,312,127,203,323,358,216,22,156,386,55,348,229,52,28,70,110,357,377,232,94,315,95,153,220,57,391,302,255,180,250,192,239,39,307,322,193,32,47,52,7,169,300,379,350,360,375,183,22,119,156,227,270,380,2,152,365,258,300,314,98,319,153,233,4,244,333,234,379,336,142,12,358,157,384,235,346,81,130,129,50,198,342,63,217,347,284,192,25,81,264,7,104,286,176,188,357,381,15,363,208,69,196,293,279,222,140,277,194,303,28,324,216,242,79,357,167,310,294,306,104,372,3,21,369,275,157,272,105,148,184,270,336,71,234,191,156}

{47,1,2,1,1,1,1,2,1,1,2,1,1,1,12,1,2,1,1,9,1,2,1,1,1,1,2,1,2,2,1,3,1,2,3,21,2,2,1,1,1,1,1,1,1,5,45,1,1,1,1,1,1,93,1,1,7,12,2,1,1,2,7,1,7,1,3,1,1,2,6,1,4,2,2,1,2,12,1,1,1,1,1,1,1,1,1,2,16,1,4,1,4,2,2,1,6,1,11,24,1,1,5,1,1,3,1,1,1,4,1,1,1,2,11,1,1,1,2,2,1,1,3,3,12,1,1,1,1,1,1,2,3,2,3,6,1,2,1,1,2,3,1,37,1,1,1,1,1,1,1,1,2,1,5,1,1,1,4,19,4,1,4}

{94,610,1886,2976,2697,5293,1344,1350,2067,1710,1288,1519,2703,1197,72,1407,1596,6674,2162,90,348,220,6100,4656,1136,1817,1848,1581,340,14,1475,891,2175,1150,372,63,2072,1292,4284,754,1378,2436,2982,5529,6188,55,90,1068,5917,8544,7161,305,4278,93,345,1062,364,12,630,9700,3212,752,56,190,924,899,855,2640,45,1300,432,2047,304,76,450,4005,588,96,6840,175,301,4218,1323,57,1980,6586,1876,282,96,420,684,3007,140,2200,494,208,720,602,264,288,6745,902,100,2318,4620,2325,134,110,1335,532,6633,555,5025,276,88,2546,1200,3735,400,1092,852,2093,912,702,48,4180,87,300,770,322,178,592,174,3960,1482,90,4982,756,870,423,3102,1482,3186,37,3081,1617,950,6132,8700,2352,8900,684,360,2093,475,2499,2387,8645,304,95,264,1127,48}

Returns: "Solution exists"
137

{60,88,58,35,55,67,26,133,100,130,127,93,108,53,103,117,125,18,94,18,54,17,56,103,109,83,24,124,133,43,69,61,44,132,86,102,52,18,86,53,134,125,103,88,50,7,89,16,78,116,74,30,76,124,121,99,14,87,1,8,38,0,73,23,62,78,9,49,34,38,133,68,84,91,122,13,111,57,88,3,127,16,106,14,38,23,72,51,108,3,92,122,36,57,27,28,55,39,101,111,83,117,131,50,49,105,50,23,15,80,110,4,84,63,17,60,4,114,87,135,132,129,24,27,27,88,96,51,105,8,114,77,129,111,107,118,107,44,133,74,53,42,114,80,60,52,70,49,5,62,100,52,70,7,100,118,45,42,91,19,33,99,124,96,95,106,2,35,87,40,67,8,43,16,37,135,110,90,49,108,20,120,96,120,79,3,74,71,67,65,7,44,94,3,127,3,121,69,37,120,30,104,97,20,101,54,4,17,102,100}

{2,37,4,129,67,5,94,98,46,87,104,38,101,109,52,112,119,60,2,6,15,18,132,37,45,102,87,92,119,58,72,10,126,96,121,84,41,13,80,101,69,70,69,21,8,102,29,2,118,60,89,104,125,111,122,84,132,29,78,59,21,130,15,35,127,97,45,84,29,73,83,45,12,82,91,87,63,65,106,81,129,80,98,33,76,52,107,4,19,45,106,93,0,131,100,33,100,90,21,82,123,118,82,92,134,70,40,16,133,6,94,7,82,84,120,32,50,118,114,77,26,46,61,102,43,34,88,26,16,7,28,136,65,105,61,32,39,39,40,45,101,0,123,129,6,49,101,127,74,95,35,45,112,123,44,102,26,106,45,71,59,36,131,27,42,79,46,41,30,78,89,88,53,81,32,124,10,115,21,18,89,73,107,5,65,36,103,112,110,119,37,35,136,101,109,136,63,35,86,77,50,17,35,91,43,25,124,69,108,69}

{1,1,1,3,2,2,3,2,2,6,3,19,1,9,12,4,1,1,3,1,9,1,7,1,3,1,12,1,1,1,1,1,1,1,2,1,3,1,1,1,1,2,1,4,2,1,2,3,4,1,1,3,2,1,2,3,3,4,1,1,2,1,1,1,1,1,2,11,2,38,1,26,1,1,5,1,1,26,8,1,3,1,2,33,2,5,1,2,1,1,2,1,1,1,2,1,6,1,1,2,1,24,1,2,5,2,3,1,1,1,1,1,1,1,1,1,2,1,1,1,21,2,4,1,1,6,8,1,1,1,1,1,2,2,1,18,1,1,1,3,1,1,1,1,1,5,1,1,1,1,3,6,4,1,2,1,3,10,3,1,33,2,1,2,2,1,1,3,6,1,2,2,3,1,1,1,1,1,1,1,2,1,1,1,1,1,3,1,1,1,19,1,2,1,3,1,1,1,1,1,54,1,1,3,1,3,1,1,1,1}

{5313,1824,2162,408,2820,3008,84,672,774,180,1173,38,728,126,180,2208,1938,2233,276,551,189,1943,273,684,1638,2349,84,58,1632,1173,3182,68,1558,840,90,2871,660,1711,1530,234,430,1064,1548,1632,1890,1653,56,483,1368,6930,102,918,1672,50,100,990,231,168,2964,2310,1292,4230,4788,3315,1725,5396,2184,495,1848,76,2592,156,7821,1110,300,708,3350,52,480,4081,552,357,840,99,1672,780,3626,1034,2968,6006,1160,1900,1786,2652,774,3168,180,1261,884,1850,7128,288,3774,1566,110,2296,54,1365,2016,323,132,5358,7326,6633,5025,6930,2538,2520,420,90,21,1032,84,2494,4386,1056,480,462,1722,3990,1120,82,312,2050,196,360,637,494,96,1326,234,470,3080,408,1463,660,728,3795,3264,400,306,780,1288,5016,342,2088,546,40,390,5247,99,570,51,1720,80,2840,5934,561,108,228,94,3360,306,1113,1710,90,187,3589,3740,1624,6,5700,1960,4800,1846,2926,612,9108,1034,1326,57,1938,492,1001,1449,6314,134,2193,1710,75,54,3417,3621,30,663,189,94,2881,1624,774}

Returns: "Solution exists"
331

{194,148,6,196,231,153,196,50,120,122,119,84,258,72,29,276,179,45,322,145,184,330,262,202,138,169,145,209,32,206,270,213,115,37,43,229,312,152,270,66,151,317,296,248,228,29,214,39,158,154,148,207,128,6,43,164,254,163,244,181,64,125,210,101,86,53,4,151,261,329,252,226,118,237,234,296,83,85,79,265,257,137,99,292,308,2,253,243,154,130,64,260,108,129,307,120,148,179,201,65,316,253,13,72,233,126,142,268,75,177,8,122,14,313,33,95,110,23,104,97,330,211,161,50,34,179,229,253,222,41,253,211,295,273,60,235,211,68,95,194,147,118,308,34,263,224,151,105,261,6,23,272,83,74,198,161,32,5,196,176,66,95,281,328,181,245,81,187,265,308,7,271,77,217,124,261,12,242,157,307,3,55,274,157,201,216,3,45,127,164,268,66,263,296,235,325,125,188,254,226,109,268,283,197,138,287,91,230}

{42,92,234,190,227,309,171,60,113,91,279,244,252,312,125,138,294,236,300,302,13,154,273,103,290,2,197,286,92,249,2,205,107,115,309,188,326,159,288,62,317,234,147,226,214,203,253,139,229,231,17,162,306,311,171,222,63,67,42,98,17,176,81,326,119,110,46,80,232,128,121,308,242,267,9,218,119,264,306,321,275,111,185,155,229,239,5,268,189,325,242,178,307,55,41,270,197,175,41,17,78,185,174,118,224,295,95,301,30,39,213,62,29,148,40,26,217,78,141,277,324,143,75,323,50,281,246,320,244,109,101,283,77,269,239,247,126,73,175,53,123,91,52,81,305,52,300,302,73,19,288,262,248,189,220,30,328,8,29,115,0,203,204,330,277,153,269,296,306,180,184,210,72,150,68,265,95,35,199,25,92,82,316,67,237,297,199,283,74,211,216,122,29,251,161,110,231,111,56,27,297,41,221,19,50,118,10,7}

{2,1,8,1,1,1,1,4,3,2,1,6,4,1,3,76,1,1,3,10,1,1,1,9,4,1,6,1,1,1,1,1,1,1,1,1,11,1,2,1,5,10,6,1,7,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,11,1,1,1,1,1,6,2,1,2,6,2,3,1,3,1,1,1,1,1,1,1,1,1,2,2,2,6,1,20,2,1,1,2,1,1,1,1,1,2,1,3,1,1,6,1,1,1,1,1,1,1,4,2,1,1,2,1,26,1,1,1,1,3,1,3,1,1,1,2,1,2,1,1,1,1,1,6,2,1,3,1,1,1,5,1,1,2,1,18,50,2,1,1,3,1,1,7,4,5,1,8,1,1,3,1,1,1,1,1,4,6,2,2,6,1,20,3,2,1,1,1,3,1,31,2,2,6,1,3,4,1,2,1,1,1,1,3,1,1,3,76,2,2,1}

{2660,252,280,1890,42,270,280,76,18,492,3403,96,280,979,234,76,2343,3100,135,2640,3894,2030,5621,90,1824,462,66,5369,207,744,4774,2581,3995,940,2646,1131,55,365,620,77,350,280,1092,90,84,468,1533,3904,3666,406,1876,94,4410,3416,392,8118,5460,639,3360,3416,2010,1248,156,220,5229,3038,3515,2475,336,1260,1512,77,174,72,440,252,5976,792,637,8170,45,4180,4902,76,3003,6314,1533,264,2900,20,30,962,40,1462,20,558,84,7029,73,1608,24,4161,3234,5162,24,266,1136,30,4085,1464,2262,902,18,308,511,272,4900,62,312,416,1295,78,2709,2660,2052,7100,780,5913,3168,33,3212,2418,210,3577,164,185,1482,7470,1584,2356,1092,348,5467,108,1947,213,675,1360,3984,840,620,1386,360,100,92,5985,2139,546,630,1504,35,208,1100,3255,224,165,588,1596,4214,4928,3127,780,2670,400,1260,2064,432,30,255,20,117,680,1464,1065,1752,198,663,31,1050,3198,66,574,198,1092,315,490,273,2755,2860,94,99,6,1426,30,76,2494,12,848}

Returns: "Solution does not exist"
460

{62,145,201,2,278,379,21,217,111,106,436,290,386,128,52,259,374,357,140,225,38,168,324,347,305,402,304,340,272,29,144,392,20,179,123,300,326,361,87,401,1,432,247,89,311,331,361,115,32,195,336,361,321,385,431,413,282,356,64,269,45,429,14,122,381,5,327,142,11,174,23,254}

{142,371,421,458,4,335,260,299,175,205,351,302,249,259,266,206,376,394,60,154,219,23,95,89,283,447,253,214,435,337,352,222,37,390,220,13,243,8,259,304,367,152,360,202,147,366,289,450,1,89,247,459,336,48,254,112,9,266,19,8,124,123,320,447,157,61,167,447,122,396,364,269}

{1,3,1,1,1,1,1,1,1,2,1,18,2,1,1,1,1,6,3,2,4,4,1,2,3,1,1,1,1,1,2,2,2,4,2,1,1,1,1,1,1,2,1,1,1,1,10,2,1,2,2,1,2,7,1,69,1,1,7,1,1,1,1,1,1,1,1,1,8,1,24,30}

{5184,1209,180,585,3034,1794,222,5810,108,1600,855,72,1488,1037,496,1769,715,336,450,78,448,312,4982,44,528,41,2639,495,2701,3977,116,1496,1224,836,1380,5626,1856,4900,4270,1421,1218,3948,5166,78,2574,5226,100,1720,116,92,1476,9300,1260,168,2130,69,172,2077,693,2940,1088,1702,4980,3936,224,3835,3618,3321,96,1760,72,60}

Returns: "Solution exists"
201

{64,35,186,138,83,34,138,49,16,70,95,159,33,65,157,31,128,100,8,157,104,131,136,140,152,65,124,68,164,15,22,64,87,156,38,194,169,93,15,176,57,88,71,62,29,187,42,44,196,172,90,123,100,57,45,79,91,184,9,29,47,71,42,15,95,57,76,81,118,92,198,0,185,136,102,130,29,121,117,57,32,70,200,31,33,12,119,150,86,75,4,143,194,124,80,92,39,15,171,181,56,190,160,181,113,71,56,109,139,12,24,95,138,26,183,193,188,122,168,171,199,137,105,100,64,58,145,75,148,1,121,163,15,53,76,67,58,39,91,44,157,88,112,93,94,170,167,30,135,188,116,46,3,77,35,99,8,67,119,50,178,101,199,187,127,50,16,128,136,99,66,79,193,98,31,85,1,120,194,64,162,126,192,182,160,89,196,32,83,36,12,195,161,84,3,135,10,37,159,115,165,189,140,61,49,78,126,7,41,0,195,117,41,152,117,83,36,80,99,97,48,160,118,195,38,27,11,171,9,183,169,85,61,174,175,135,32,163,43,80,119,47,5,104,61,179,111,162,106,43,157,190,150,117,36,30,58,107,11,165,143}

{129,178,71,134,170,89,189,168,64,14,67,55,39,179,25,79,16,113,180,133,66,107,80,157,92,163,94,194,22,30,191,182,62,99,45,169,19,169,22,30,117,104,193,61,75,162,60,40,57,175,168,142,106,41,160,191,49,79,101,103,78,23,140,80,15,151,152,37,13,54,152,103,2,69,96,19,140,22,48,9,167,13,123,91,61,106,179,103,125,53,165,5,172,150,135,4,163,112,125,26,175,57,144,7,175,158,9,95,116,153,54,94,71,158,127,16,101,149,70,82,133,85,51,14,127,148,184,4,182,48,8,126,14,185,94,79,184,108,40,153,190,28,22,100,200,31,177,63,88,136,71,200,157,69,30,157,96,49,191,32,48,130,151,23,134,150,176,136,79,172,9,152,54,40,18,121,69,148,171,71,181,129,102,35,3,199,69,138,105,192,165,144,29,36,192,120,61,156,70,114,5,94,36,166,92,68,198,164,108,130,97,176,35,78,2,60,174,175,38,174,95,5,8,94,105,133,75,96,197,114,160,35,16,125,140,155,191,99,9,131,42,107,47,19,27,46,99,63,68,195,103,179,101,19,128,130,148,87,49,145,51}

{1,1,1,11,1,4,1,2,1,2,3,1,2,3,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,5,1,3,2,1,1,2,1,5,1,3,1,1,1,2,2,3,1,4,1,1,4,2,3,1,1,2,1,1,1,1,1,1,1,1,10,1,2,1,1,1,6,1,1,2,5,3,1,1,1,1,1,2,2,1,14,5,1,1,1,1,1,1,2,1,1,2,2,8,1,1,1,1,1,13,1,3,1,10,1,1,1,1,1,6,1,1,1,31,2,2,1,2,1,14,1,12,1,36,6,1,1,1,10,1,1,1,5,1,1,1,1,1,3,3,1,1,1,3,1,1,1,1,1,2,1,1,3,1,1,4,1,1,2,7,1,1,1,1,2,1,1,2,1,1,1,4,2,4,2,3,1,1,1,2,1,4,2,2,1,1,1,24,1,10,1,4,2,1,1,1,1,1,1,1,2,1,3,7,1,1,2,1,1,2,19,1,5,19,5,5,1,1,1,1,1,1,4,1,1,5,1,2,1,1,1,1,8,1,2,1,1,1,17,1,2,13,1,6,1,2,1,1,1,1,5,3,12,1,2,1,3}

{1914,1978,1023,66,6035,280,1650,2752,1551,1190,30,5782,3010,546,12,3822,3055,1302,39,300,90,4929,1558,204,1230,714,2324,1978,3234,240,2640,858,532,245,4620,3440,240,1200,2640,315,95,182,8463,532,684,252,666,152,12,1406,1600,1720,630,93,3948,3920,5074,490,1426,1862,442,5208,1887,1520,240,58,840,1710,2556,4182,330,49,874,2542,585,24,1938,3036,3895,46,1224,612,2494,4602,70,90,1326,147,2387,468,1116,357,3182,84,76,1476,1462,720,2356,4290,133,37,1128,455,589,2418,322,210,119,690,3264,2490,2046,858,190,4277,341,186,1088,2660,2100,76,3969,210,1254,240,365,36,624,3034,3588,1530,560,598,4648,294,60,4730,4484,552,148,2821,792,1050,4814,6630,119,270,364,902,651,5278,236,558,1290,20,585,258,1360,1224,943,744,812,504,1254,204,2961,5330,4018,370,2070,1470,4641,5852,4602,92,2294,528,3268,1023,780,2610,3185,3354,2773,280,372,792,3479,490,310,96,798,90,2891,44,644,4410,2006,3045,527,6225,510,798,3526,598,990,1274,5115,24,480,5985,7998,390,95,1278,30,19,55,30,1230,799,2769,7968,2695,1650,684,3420,4002,35,3760,172,658,465,969,180,720,170,230,1007,629,1581,17,6,154,546,15,108,1035,480,196,2886,93,285,130,120,240,1302,3268,2263,567}

Returns: "Solution exists"
31

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

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

{4,1,1,1,1,4,1,2,2,1,1,4,1,1,1,1,1,1,2,1,7,1,1,2,1,2,1,1,1,3,1,1,1,1,3,17,1,7,1,1,1,1,6,1,5,4,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,5,1,9,1,1,1,2,2,1,1,9,2,1,1,1,1,1,1,1,1,2,8,2,1,1,1,1,1,1,1,2,1,95,1,5,1,1,2,1,1,1,41,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1}

{48,595,1330,371,2639,204,5695,378,406,3074,8265,48,8645,16,280,3471,3895,3198,126,3995,47,2842,3315,1856,7055,126,1537,492,3854,234,4611,145,3471,1638,156,340,4288,49,7885,3136,1140,636,108,8265,760,192,406,4611,47,5963,340,1537,245,182,1710,637,2639,1189,574,8455,84,2755,1833,1615,9009,198,4806,5829,6188,1856,406,7917,39,594,576,5829,18,1246,235,1360,469,1972,245,738,320,126,47,2262,4263,1068,3471,5695,3604,2378,273,95,4361,760,41,5510,112,2378,435,3705,82,3551,954,5510,1088,752,1599,84,8455,273,3008,5510,3705,6970,7735,4823,522,4465,3649}

Returns: "Solution does not exist"
283

{91,26,241,268,179,200,41,100,187,95,9,120,231,81,55,117,281,199,233,254,145,147,103,166,96,250,86,166,16,261,161,271,19,192,278,50,121,174,155,166,225,264,11,126,37,122,192,197,22,99,233,164,180,51,197,1,50,133,140,231,44,215,35,218,202,220,262,270,273,38,240,254,216,57,270,160,128,102,64,104,19,153,260,212,5,29,99,47,113,159,63,152,197,238,41,247,45,143,145,237,93,8,225,251,263,142,143,234,36,193,197,201,123,256,29,259,239,162,187,113,153,196,270,266,216,264,5,200,13,181,254,84,245,257,191,68,117,29,31,164,53,88,240,29,159,50,237,197,13,100,184,219,186,19,12,198,216,194,127,49,136,23,257,251,9,90,246,277,225,224,20,126,219,123,93,172,202,117,214,172,7,266,244,9,139,60,49,3,99,127,129,261,29,173,139,244,167,22,69,165,53,116,226,160,259,215,193,173,75,218,30,15,140,88,89,10,193,156,139,213,204,143,150,241,230,38,135,58,60,149,112,242,50,210,10,55,212,90,218,108,138,188,146,214,182,153,37,91,110,112,191,36,271,219,76,114,9,181,6,272,9,195,53,199,187,16,215,237,27,51,99,87,213,73,128,258,113,230,153,149,72,47,25,3,72,96,167,255,85,8,209,254,37,197,0,204,123,204,201,271,27,106,244,68,93,110,256,10,47,119,190,235,228,110,278,170,136,212,24,162,236,23,0,136,184,223,258,230,53,280,144,78,279,173,77,217,107,224,275,269,186,33,272,187,150,18,40,160,233,128,131,149,208,199,120,17,131,249,87,221,39,127,71,12,259,20,5,48,169,147,183,273,77,176,91,277,149,261,9,30,107,58,151,58,184,190,46,87,259,119,74,31,217,161,159,278,196,252,19,114,41,87,171,197,206,137,56,122,21,51,167,88,32,190,161,264,194,28,15,223,190,93,207,231,245,83,213,97,130,70,244,47,22,60,15,124,181,279,201,216,258,43}

{187,282,238,149,155,19,88,25,23,112,148,174,77,192,225,28,120,225,89,77,246,210,17,154,159,255,40,160,152,140,148,7,88,45,152,194,183,113,28,135,153,100,113,229,22,30,124,41,123,231,156,12,132,61,59,203,170,150,36,117,16,237,58,156,16,271,52,114,2,233,270,112,177,8,219,164,189,239,137,14,196,68,189,96,71,195,24,120,110,261,102,250,72,255,260,5,102,40,63,278,239,148,159,64,210,89,146,230,237,247,158,278,51,274,195,117,108,82,30,61,78,39,185,5,86,232,127,275,42,139,132,14,197,58,243,250,8,224,107,80,19,76,232,3,220,268,268,13,99,89,103,266,40,200,142,213,177,56,254,179,69,215,160,33,162,137,149,48,73,162,230,24,104,122,29,207,130,186,253,198,91,193,80,41,95,253,144,261,52,169,15,36,1,102,259,168,2,20,40,162,162,65,161,120,123,65,99,1,211,132,5,148,159,136,168,253,90,5,107,250,175,12,226,192,129,55,225,222,2,162,213,255,107,26,146,273,77,182,114,119,55,181,53,113,129,74,142,149,183,96,261,72,189,189,39,176,92,30,274,149,31,80,40,241,274,148,281,199,105,48,56,237,28,156,31,134,136,74,151,29,58,171,240,53,114,83,272,274,19,57,41,257,152,65,103,65,271,180,184,207,207,165,224,181,127,251,4,120,110,131,28,48,35,185,155,204,160,74,73,14,114,196,21,216,172,199,56,268,19,2,130,12,15,47,258,90,93,108,68,230,245,87,86,104,245,124,205,164,225,170,202,86,102,92,14,112,155,88,197,109,198,271,245,145,36,194,113,177,144,265,6,194,84,161,280,190,117,168,114,5,238,66,91,181,85,27,70,62,133,218,121,70,164,242,177,99,185,184,114,14,143,141,18,9,149,136,130,143,3,79,185,216,215,233,52,141,235,151,270,211,3,193,24,155,253,6,111,63,182,9,217,217,246,215,6,30,101,7,262,238,123,259}

{1,2,3,1,2,1,1,2,1,1,1,2,1,1,13,3,8,1,1,4,1,1,11,1,1,2,10,2,1,30,1,1,1,1,4,1,4,1,1,1,1,1,1,1,1,2,1,1,2,1,1,3,1,1,4,4,1,6,2,1,1,1,1,1,7,1,4,1,2,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1,19,9,2,5,3,3,3,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,9,1,2,2,1,1,1,24,1,19,2,1,1,1,7,3,1,2,2,1,1,2,9,1,4,3,1,1,1,1,3,1,1,1,1,1,1,4,1,1,1,1,2,1,1,2,2,2,1,1,2,1,3,1,1,2,22,1,14,2,1,1,1,1,2,1,3,2,1,3,2,1,1,1,4,3,1,2,5,5,2,1,1,2,6,2,7,1,1,2,38,10,2,10,1,1,1,1,3,2,1,1,2,1,8,2,2,1,2,1,11,1,1,1,1,8,1,1,1,7,1,2,1,6,1,1,3,1,1,1,1,1,13,3,6,1,2,2,1,4,3,1,2,1,1,16,2,3,1,1,1,1,4,1,77,1,1,1,1,1,1,11,1,11,1,3,1,1,1,1,1,1,1,4,1,2,3,1,1,10,1,2,1,2,1,89,1,1,2,3,1,3,23,1,1,1,1,1,1,3,2,1,2,1,1,2,1,2,1,2,4,1,1,1,1,1,1,24,1,25,2,2,1,2,6,1,1,2,16,1,2,13,1,1,1,1,1,16,1,1,2,1,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1,4,4,3,3,1,3,5,1,1,1,1,1,1,2,7,3,2,2,1,5,1,1,3,1,4,3,1,1,1,1,2,3,2,3,1,1,1,1,1,3,14,4,1,3,1,1,1,1,1,1,1,1,1,2,1,2,3,2,3,2,1,1,25,1,1,3,1,1,3,2,2}

{8439,2072,2175,1776,1656,2915,3234,1550,6014,3654,534,1720,6716,5621,390,855,360,455,4717,92,195,672,308,7626,1554,656,720,2378,2520,90,1335,4539,5390,1752,280,3360,1680,258,2622,5166,1495,850,168,1953,3666,80,949,1320,1786,5548,5518,1584,2278,215,520,120,2485,252,360,3285,693,1700,4891,1178,63,8544,48,1261,1148,2225,1261,252,1302,2952,364,5742,1008,3870,3479,70,1320,1242,1520,5994,95,315,1292,200,6,210,315,1640,120,1200,3135,7885,360,1170,105,476,5246,6408,1365,1323,399,4823,559,1804,136,6142,280,476,1634,276,315,1710,2580,1400,1552,15,1656,96,897,380,1680,1088,8835,1590,56,264,268,4,1880,1541,646,2214,360,990,160,2277,2695,9114,6208,3735,672,1295,629,280,532,2650,1540,532,2610,2915,4368,4508,1302,8736,372,1656,672,3100,1334,2646,168,3408,624,825,2795,616,44,2142,140,190,2745,4628,644,1305,490,2548,1479,2812,2622,66,696,7350,874,2490,228,372,55,120,360,450,456,3230,8118,1034,630,504,392,3990,1020,1160,38,700,2812,200,4484,1273,1520,445,630,1568,4505,4998,1776,5890,96,3772,1848,624,1428,6351,44,1950,4095,1273,6150,336,5796,1104,1120,168,2193,1092,7452,336,1843,1740,1482,627,2107,30,462,1265,273,1392,84,4662,510,24,1424,112,2976,2619,228,528,564,192,60,1449,4410,609,1164,5607,1800,119,77,3225,6916,1394,5244,2666,1260,22,96,220,253,720,402,300,6014,4067,582,6586,6336,48,2090,2952,396,92,1560,280,5005,2310,3382,1122,340,89,6853,846,418,594,5673,54,92,2040,150,1508,399,1275,2847,138,644,4686,928,4455,1462,56,679,744,2470,672,260,168,2002,1628,2695,246,1748,144,245,50,1012,2256,1952,660,270,44,2726,4018,320,6790,1974,39,3330,5742,5785,4473,364,240,855,532,40,2772,1196,3038,1640,3834,4704,8277,1786,240,152,1056,285,4650,228,800,3948,672,92,135,87,77,720,510,582,1520,2400,6432,957,2211,380,77,936,3936,684,551,880,780,9306,345,1302,532,552,1220,5335,194,429,3608,156,120,1008,2272,8372,130,3154,1075,2277,294,300,623,60,1496,1632,627,65,1416,581,4514,3026,3358,4606,4183,2300,504,1932,78,1786,2350,3666,300,235,208,792,2499,272,1050,418,1368}

Returns: "Solution exists"
231

{213,95,227,57,213,127,108,114,6,51,112,181,33,196,129,95,27,119,67,159,224,133,110,12,39,50,80,10,207,28,204,227,179,149,186,30,4,79,178,163,151,210,193,14,125,142,158,40,143,62,99,166,165,23,225,170,82,183,175,4,215,88,65,155,188,173,133,224,191,33,52,58,133,92,229,15,82,187,77,228,22,151,203,119,5,153,166,39,79,39,82,75,92,9,201,210,80,100,210,190,19,172,106,192,190,65,205,172,47,25,199,171,39,33,39,107,88,86,219,24,178,25,158,53,85,217,13,209,72,75,217,193,168,133,143,157,51,212,218,189,177,118,230,184,56,192,170,37,83,28,226,184,181,169,180,48,34,195,170,214,167,228,166,213,184,30,109,184,118,139,23,53,220,93,124,77,21,203,60,65,68,37,78,164,170,181,204,154,184,103,40,40,189,78,87,119,89,226,5,223,84,227,15,230,67,53,213,166,60,90,40,99,173,53,112,90,208,23,110,184,177,118,130,212,140,184,157,89,18,143,10,79,190,49,145,177,126,215,219,194,18,122,1,65,15,136,153,68,148,201,153,33,226,7,201,118,40,32,174,190,29,179,121,196,162,185,150,96,92,22,45,115,124,124,10,67,187,96,74,225,54,179,141,208}

{130,168,93,139,90,219,44,188,36,207,36,188,135,129,83,128,3,209,220,177,190,137,121,94,52,172,211,6,206,81,79,124,143,218,152,46,94,46,150,228,207,219,178,150,81,110,108,174,187,173,24,192,228,44,103,109,204,77,80,103,197,149,134,172,166,89,117,133,22,134,27,166,102,12,173,167,101,206,162,227,203,216,199,158,156,27,21,224,124,129,162,134,57,61,14,75,156,217,215,91,155,35,225,197,28,44,200,115,167,225,21,202,45,220,222,136,132,12,103,182,95,168,19,14,95,160,65,156,53,196,225,124,99,114,120,103,143,226,160,85,1,187,141,69,27,120,144,172,64,41,65,37,119,14,185,42,173,110,224,29,12,1,110,152,99,189,33,180,96,25,200,183,104,130,136,209,212,157,136,62,110,7,102,156,182,199,223,134,174,92,177,181,39,84,113,80,224,164,34,143,12,146,88,71,165,76,229,196,220,104,214,82,143,151,195,37,53,81,173,91,157,2,222,64,59,185,227,92,225,87,177,57,35,219,170,19,223,27,198,146,113,203,120,29,159,199,44,211,181,191,90,129,6,182,114,164,12,133,201,60,167,24,139,134,221,24,181,220,199,40,104,26,171,158,102,213,32,129,91,175,174,85,50,180}

{2,1,1,1,2,6,5,1,1,6,2,1,1,1,1,3,1,2,1,1,1,4,1,1,1,3,3,1,12,1,2,1,2,23,2,1,1,1,1,1,6,1,3,1,1,2,1,1,2,1,1,3,1,1,1,3,1,3,1,1,1,1,2,3,3,13,1,2,1,1,1,3,4,2,1,2,1,2,16,1,1,6,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,23,1,2,1,19,1,2,1,2,71,1,1,3,1,3,1,3,1,1,1,1,2,1,3,1,6,1,4,1,1,2,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,2,1,2,1,7,1,1,1,2,1,1,2,1,1,1,1,1,1,23,5,1,1,1,6,1,1,1,4,2,1,1,2,1,2,6,1,1,1,1,2,10,1,2,1,1,5,11,10,11,1,1,2,4,5,1,3,19,1,2,1,7,1,1,1,1,3,1,1,1,1,2,3,1,1,1,1,1,2,1,1,1,1,1,1,18,5,2,1,5,14,1,1,12,1,1,4,2,7,4,1,5,2,1,1,2,1,1,1,1,1,1,2,16,1,1,1,4,1,1,1,3,3,3,2,1,1,2,1,31,1,1,1}

{2870,2607,2623,477,2788,780,1615,192,3290,624,4700,186,1608,2976,124,561,8265,2508,1824,2100,2666,748,2442,1034,3650,912,60,1785,48,1365,4512,3660,3080,276,210,1537,4700,4982,231,581,624,6474,6,3311,1248,3478,1995,248,2030,7280,1148,459,4316,5865,2409,1425,3552,240,24,3300,4510,4324,76,1653,51,273,1100,1364,4018,2546,6935,357,264,1012,4641,1392,1628,348,48,5063,574,234,532,1596,506,7980,969,1550,2820,1550,592,570,828,105,3913,1245,138,370,4565,1634,87,4218,4599,2214,1505,340,92,912,348,4818,76,2331,1700,3819,450,71,987,858,858,1886,33,5214,21,1075,1353,335,372,1518,900,480,365,60,2212,704,4130,1353,2730,2565,4623,3280,425,5742,152,1147,1425,1593,600,3021,204,2660,380,1961,2356,1591,1056,3230,1001,1998,4650,574,638,1411,3774,574,1036,2320,3819,1184,495,3498,276,75,1653,3010,4260,528,513,574,2698,80,1184,3498,1896,460,3450,2356,1440,3762,1147,3036,200,248,400,7821,2310,228,2418,380,154,630,198,6100,2256,24,416,175,4182,1632,114,1972,56,1036,910,1950,2700,3604,1325,897,6734,1406,1025,1386,630,459,5460,2442,2501,3588,3285,2310,1275,846,3182,4290,7350,75,180,1045,1482,2900,630,56,1003,164,336,5396,7140,480,2542,1274,1428,2077,665,1518,5824,1980,88,396,2821,1634,2378,3608,1749,1824,16,2706,4774,285,1748,328,1972,1424,1260,420,408,1312,522,155,836,584,31,3608,912,1696}

Returns: "Solution exists"
79

{11,70,15,25,56,4,33,18,6,41,40,34,71,9,20,43,49,31,77,22,68,47,73,52,77,14,47,14,21,46,43,10,37,28,8,3,20,65,71,41,56,3,70,17,60,60,48,72,6,33,33,48,19,21,76,46,70,22,19,70,38,12,57,62,66,30,59,63,17,67,74,71,52,63,49,53,66,58,19,11,10,39,37,42,36,58,44,29,66,3,30,61,9,23,41}

{19,10,78,9,25,52,41,2,11,64,31,57,23,40,21,33,72,56,24,49,74,21,20,51,14,65,39,56,62,33,22,52,24,27,49,37,66,44,31,25,13,10,51,78,76,6,37,16,23,44,6,16,76,31,18,15,75,64,13,78,78,53,77,49,21,19,23,16,2,15,31,8,65,15,42,32,47,7,42,23,1,35,26,62,7,51,70,74,39,75,17,72,64,72,27}

{1,1,1,1,1,20,1,3,1,1,1,27,1,1,8,1,1,1,1,13,1,3,2,2,1,1,9,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,4,2,13,1,1,1,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,8,1,1,1,1,3,4,1,1,1,1,5,1,11,1,1,3}

{168,276,2805,3094,4641,60,264,780,192,1272,98,162,29,1666,48,407,1430,102,1300,182,2494,432,200,1140,2300,4508,54,4692,48,231,3367,1380,2548,1092,1430,3920,376,2009,2,2184,1020,1840,228,1551,3276,4032,3675,1705,1856,451,704,2325,728,48,156,1785,420,4823,280,132,2112,1392,1350,78,2256,3416,1972,62,2820,7990,86,55,2940,170,312,624,1269,260,168,87,1748,558,3920,24,312,190,492,946,846,560,2867,165,1802,1595,312}

Returns: "Solution exists"
461

{274,117,96,12,20,130,21,102,269,206,2,333,219,424,144,430,359,111,89,398,45,186,41,225,52,81,312,422,147,124,434,130,11,127,402,3,42,168,111,63,253,180,99,170,12,19,310,187,276,328,271,197,97,230,195,215,281,433,303,220,2,242,235,147,416,21,32,358,431,132,179,207,322,23,437,104,406,142,93,407,12,37,222,214,161,195,22,379,236,41,14,209,446,128,226,290,200,383,176,269,422,346,450,427,164,298,309,234,51,178,86,434,53,211,71,458,289,226,66,434,384,248,403,309,132,407,9,332,238,159,43,103,425,1,49,335,70,364,181,375,186,149,287,326,247,117,190,229,285,365,268,380,25,268,22,265,157,148,287,112,239,6,253,63,342,87,250,227,250,230,128,419,327,368,310,157,305,319,459,128,369,287,396,52,136,291,459,60,362,313,324,155,254,13,140,169,98,152,243,3,347,1,266,183,345,325,443,131,78,336,448,83,207,453,23,259,25,148,174}

{214,230,184,255,262,404,334,199,183,437,393,387,443,403,115,137,421,345,432,149,77,198,160,191,63,250,381,401,105,407,17,70,194,244,30,260,397,15,384,356,65,432,28,319,190,429,405,401,274,216,59,136,159,355,231,252,367,405,134,139,169,354,48,430,205,390,192,80,219,451,172,232,375,359,243,83,238,112,422,212,290,439,190,338,35,79,454,128,330,65,331,384,352,358,319,317,170,269,286,252,210,204,299,215,272,443,2,338,306,446,3,189,248,437,338,303,153,62,14,137,41,230,216,453,228,384,173,209,299,196,216,142,142,395,303,17,161,197,215,297,436,369,231,204,288,415,299,212,181,361,152,308,111,383,171,264,159,223,88,369,90,234,95,74,52,363,61,125,414,308,194,310,452,130,416,227,370,82,72,34,284,17,75,166,142,400,368,255,265,331,388,176,236,289,388,349,149,16,135,107,74,307,89,8,56,249,235,95,397,333,103,335,348,388,428,432,335,361,334}

{1,1,1,3,1,1,1,1,1,1,1,1,10,2,5,1,1,4,3,1,1,1,1,6,1,1,7,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,5,1,1,1,2,1,1,1,7,1,4,2,4,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,3,1,4,2,1,1,1,1,1,1,7,1,1,1,7,1,1,1,11,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,28,1,1,1,4,2,1,1,1,3,1,6,1,1,1,1,4,1,10,3,3,3,1,6,3,1,1,1,2,1,1,2,1,1,1,1,1,2,9,1,2,1,2,1,1,2,20,1,1,1,4,1,7,1,14,1,4,1,1,1,1,1,1,1,22,1,1,1,1,1,15,2,1,1,4,1,1,1,1,2,1,1,2,1,4,1,1,1,7,7,1,3,2,1,2,1,1,1,1,1,1,1,1,2,1,3,4,1}

{1705,1624,407,1302,1520,1517,1972,3705,1460,376,3612,2100,200,180,225,3311,70,520,84,3569,2368,54,5727,360,4095,2139,616,1173,840,1508,2100,296,817,840,5642,693,14,4602,3276,1092,730,33,3256,74,462,3854,1909,1173,770,420,3905,102,420,2146,3212,49,630,897,132,156,420,6308,2236,2310,736,2108,67,92,1880,162,2585,246,32,770,3337,340,6478,546,6072,416,924,224,561,31,1917,3796,1360,294,2646,690,6248,504,5146,1127,6734,396,102,1898,1530,3577,1173,465,294,5,3886,1050,420,76,2050,4526,581,28,8526,188,63,240,3108,7371,5896,1204,1449,2842,180,730,182,3276,6693,56,4018,180,1380,231,399,2960,12,1650,568,2244,54,100,94,913,660,1209,2380,3416,539,2912,432,324,3854,70,1092,1222,3760,1254,660,80,2730,858,475,1672,4818,819,2880,98,217,1012,3069,2030,2107,7138,1328,1591,2656,132,2596,370,2464,2989,209,150,752,2880,42,1320,1376,1209,1539,1491,450,1305,1971,74,1050,320,6640,2993,4402,77,819,3441,252,540,2760,1848,2150,330,966,5550,66,1122,574,3650,132,24,462,180,1073}

Returns: "Solution exists"
274

{107,185,17,98,28,205,164,22,189,132,39,223,44,110,148,143,269,26,254,214,147,212,105,143,105,24,146,61,46,99,71,90,263,137,5,198,41,103,192,77,226,212,212,110,153,87,15,139,86,197,168,236,92,203,267,96,92,231,209,162,242,47,164,233,250,143,225,124,106,185,84,202,199,210,241,125,103,163,11,46,81,85,79,33,130,258,246,66,26,227,219,224,150,20,230,116,142,119,88,252,73,141,12,9,173,134,238,251,225,71,191,2,249,128,143,176,85,38,139,184,220,218,150,262,21,270,233,237,132,203,270,139,14,263,96,85,47,53,101,197,81,84,166,39,144,272,187,193,0,195,147,186,157,81,257,59,264,9,93,101,68,200,133,221,105,81,186,253,97,198,267,218,3,270,152,22,198,184,92,108,245,117,141,204,149,183,77,65,83,38,273,154,32,246,242,57,252,50,124,177,173,201,35,77,153,81,35,144,78,83,232,160,92,233,164,250,229,238,188,239,112,4,82,177,210,260,120,131,85,246,36,117,116,70,3,139,149,183,256,107,103,133,266,160,25,153,197,66,47,229,128,145,266,271,206,5,265,7,165,59,191,201,62,148,259,19,5,267,253,152,106,51,168,243,122,84,146,170,164,23,30,40,179,32,51,118,28,74,179,137,158,76,186,195,109,174,68,247,89,176,134,101,3,243,79,95,20,145,145,65,175,195,123,8,130,196,33,228,194,27,138,203,105,206,26,137}

{58,200,20,230,15,22,184,38,83,55,12,218,106,102,191,269,31,89,2,173,177,101,67,177,76,41,15,100,137,95,104,246,242,246,118,172,122,53,248,28,167,215,125,0,256,140,13,91,246,88,79,94,40,62,132,43,121,27,237,165,94,77,221,44,66,86,74,195,54,168,38,88,122,145,11,259,94,85,77,33,47,116,106,192,99,31,0,253,63,205,18,5,130,237,176,149,180,125,108,201,42,40,241,204,35,77,99,123,224,79,59,118,6,177,164,126,172,89,266,267,173,20,83,249,271,256,228,55,82,19,61,207,100,43,216,132,100,250,103,193,261,162,190,198,191,223,64,98,133,259,162,200,131,117,119,213,105,31,29,250,37,174,40,225,237,175,263,71,131,23,230,193,198,265,256,135,129,35,110,205,25,123,172,171,271,214,28,142,257,126,213,179,252,135,47,50,191,51,17,112,160,70,80,16,147,202,103,56,61,273,52,161,157,91,127,70,212,135,270,172,264,53,109,54,231,257,140,241,196,104,212,68,2,25,247,45,215,180,179,146,273,122,144,114,185,132,23,241,237,197,88,225,202,265,188,144,134,210,268,41,110,272,191,236,15,9,222,127,173,52,95,24,128,249,215,95,268,16,27,126,173,103,215,207,111,102,111,146,122,40,193,233,179,160,245,16,109,6,221,151,227,222,89,97,25,10,13,91,33,216,95,163,105,217,60,32,93,273,1,230,202,180,146,125,139,121}

{3,1,7,24,1,3,1,1,1,1,1,1,1,5,2,2,2,1,4,1,5,3,1,5,1,1,2,1,1,1,2,1,3,2,1,1,1,1,1,1,1,1,3,1,12,3,1,1,2,1,1,73,1,1,3,1,1,1,2,2,1,1,2,2,1,2,3,17,1,1,14,1,1,3,1,2,1,3,8,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,2,1,2,1,1,1,1,3,1,1,2,2,1,2,3,2,1,2,39,1,2,2,1,7,17,1,4,1,1,3,1,3,4,1,1,1,1,2,9,5,1,3,81,1,1,1,44,2,1,1,2,1,6,1,1,1,1,1,1,11,1,11,1,1,2,1,1,1,3,3,1,1,1,1,1,1,3,1,1,3,1,1,21,1,1,2,1,1,1,1,1,7,1,2,20,2,2,27,1,7,3,1,1,1,1,1,2,1,2,4,1,1,2,2,2,2,1,14,1,1,1,1,1,1,1,1,6,1,1,1,1,1,3,1,1,2,1,1,1,1,8,2,1,2,3,2,2,5,1,1,1,3,13,1,1,1,1,3,1,3,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,19,1,4,2,2,1,6,1,2,5,1,1,6,1,2,1,1,5,1,1,2,1,2,2,1,1,1,1,5,1,1,1,1,5,17,1,1,1,2,2,2,1,1,5,1,1,4,1,1}

{390,2482,147,288,2200,1518,6478,6762,680,93,4575,143,4982,630,24,950,950,7189,644,308,65,3,2730,50,5278,4392,3256,3564,2400,3965,1150,1078,600,4704,3182,3465,3960,2150,7735,200,2135,237,84,3115,336,234,440,170,3136,1599,2436,73,5694,2703,33,8930,4453,2050,4042,1364,1752,648,1230,2068,5044,1600,1479,68,4929,2958,98,205,1265,57,104,84,6278,51,8,1850,3564,93,1484,6734,5185,400,8722,5917,3713,2310,85,3612,1615,4606,2976,2170,962,8148,2870,155,4402,1326,975,255,76,184,3965,84,1428,700,154,1036,78,460,2050,1364,165,1274,34,2607,8,637,760,1092,801,1200,308,2914,282,3869,3300,714,81,1425,3854,3,81,1300,258,1599,44,308,3564,3843,74,1056,546,2952,4005,34,2860,146,1104,308,9700,616,1638,150,688,156,1416,6205,1170,510,8554,220,150,3050,207,3276,1056,533,2016,150,3408,5313,63,3002,2555,2310,1950,462,2805,5015,630,770,200,390,200,2156,1496,162,270,1078,648,385,10,135,1428,60,196,527,494,152,5460,220,1634,2664,660,680,185,196,3504,220,5986,884,282,5005,6450,2255,36,225,1410,465,4674,6700,195,299,156,2254,174,4543,868,663,32,34,5530,2590,1296,2886,1462,495,1258,2842,1326,84,156,1261,7614,3666,3772,51,85,18,4300,3182,138,5700,372,5544,70,2976,102,1752,88,219,2150,2409,244,355,3445,1647,8004,195,4345,910,444,76,2050,572,100,3354,6399,378,2160,3330,400,6438,4455,1248,4100,1276,162,1666,150,6460,885,312,2730,2232,1610,150,2912,45,1092,1040,245,15,222,1230,65,51,546,6840,1360,1404,3182,476,988,2400,20,3922,6734,2100,2686,5856}

Returns: "Solution exists"
44

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

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

{1,2,1,2,3,1,3,2,6,2,1,2,3,1,1,1,3,1,2,1,2,1,1,2,2,1,2,3,1,1,1,1,1,2,1,1,6,1,1,8,2,2,1,2,1,1,2,1,1,1,8,2,8,1,10,2,2,1,6,1,1,2,3,4,5,1,1,1,1,1,1,6,2,2,1,1,2,1,1,3,2,6,1,2,13,2,1,1,4,1,1,1,1,3,2,1,2,2,2,1,2,1,2,4,1,1,1,2,1,1,1,1,1,2,3,1,1,1,1,2,50,1,2,1,1,1,2,2,1,3,2,1,2,1,1,1,1,1,1,1,1,1,6,1,1,2,2,4,2,1,1,1,1,2,4,2,2,29,1,2,2,1,1,1,50,1,1,1,1,4,3,1,3,6,2,1,1,2,2,1,1,2,1,2,4,1,1,1,1,4,3,1,29,1,2,1,1,5,2,13,1,1,4,1,1,1,6,1,1,1,1,1,2,2,1,1,1,1,1,1,1,2,1,1,2,2,1,3,2,2,1,2,1,1,1,1,1,1,1,2,1,1,3,1,2,1,2,1,1,1,1,1,1,5,1,1,1,1,3,1,1,1,1,2,1,1,1,2,3,1,15,1,2,2,2,2,3,6,1,2,3,1,1,1,1,2,5,1,1,1,2,1,2,52,1,1,1,2,5,2,1,1,1,1,2,1,3,16,2,1,6,1,2,2,2,1,1,2,2,1,1,5,1,1,1,1,1,2,1,3,2,2,3,1,2,1,1,1,1,1,6,1,1,17,2,1,1,2,5,4,1,2,2,2,1,1,1,22,1,3,1,1,1,2,25,2,24,1,6,1,1,1,3,1,1,3,3,1,1,2,2,1,6,1,1,2,6,1,1,2,1,2,1,6,25,1,4,9,1,1,1,1,1,2,3,1,1,1,1,1,1,1,2,1,1,1,5,1}

{1530,2,5548,2378,624,3484,390,1360,240,704,2822,572,720,2490,1392,2490,360,3216,2320,490,1122,4234,1943,34,1200,2175,24,810,2204,2320,2881,3285,696,3772,318,3074,240,134,2880,240,1470,408,510,4900,2610,7209,1392,696,1360,2610,192,442,240,450,240,408,24,258,264,3268,145,3724,360,456,5184,3869,134,3026,1980,1608,1650,264,960,52,260,174,1968,2490,58,162,2112,264,2064,3920,78,600,493,468,2300,2880,408,3886,6156,1296,836,1892,1914,2352,1122,1131,572,468,638,1040,1742,58,335,22,45,240,1856,1247,408,3036,585,6764,3869,684,415,1914,100,1166,2508,34,1700,3498,550,3280,58,648,1230,2150,58,534,4272,1378,6164,3015,2314,402,130,870,30,34,1856,24,408,1012,76,2378,5874,7300,4876,1292,528,696,264,58,215,408,3234,438,3198,408,100,858,1088,5478,4214,624,90,2349,720,528,24,3796,6164,1968,6,2204,260,3920,58,1914,1200,134,1394,162,6566,1196,144,4818,29,1377,64,153,858,900,1716,156,696,696,624,1290,408,2320,66,5025,2236,4399,145,5025,3116,984,120,7452,4422,2158,2544,265,3484,1176,8188,4818,132,76,2136,648,984,696,178,3772,696,1606,330,290,2407,1513,5478,1716,58,220,585,2822,1716,335,24,1564,2136,290,45,415,45,30,402,493,1276,410,78,3822,1700,4316,6716,1176,3350,5963,4350,76,312,4272,90,1608,294,2900,528,600,1782,30,2581,600,198,3074,460,7154,696,3136,720,1032,3900,1508,408,5840,1088,52,174,330,408,2352,1200,696,696,2822,3498,1752,1804,765,1650,240,1716,754,120,405,2450,6,1394,5025,145,66,44,3569,396,45,4214,3869,2279,1392,816,880,410,648,24,600,1650,80,1968,4300,638,2236,884,4628,24,10,1537,34,2112,3504,3886,528,100,624,754,2132,26,1380,1241,1392,2881,132,1241,975,5963,3285,1392,4018,300,3234,48,58,24,3956,170,174,2025,34,3735,360,648,120,4628,294,228,1508,528,4350,6150,988,528,3504,5700,408,4272,30,477,264,150,603,1104,81,1943,1980,134,2262,1943,48,72,146,522,2842,946,1170,2754,5360,24,10,2581,4234,30,6806}

Returns: "Solution does not exist"
142

{16,47,76,71,137,129,121,80,126,78,122,111,90,83,2,75,95,129,21,110,93,78,43,46,129,73,132,48,39,76,56,114,120,56,130,18,32,11,60,64,100,39,107,83,65,69,130,66,95,67,66,124,126,6,38,117,86,131,28,22,44,36,65,52,1,52,58,69,28,3,112,137,74,81,12,117,9,22,85,71,84,81,39,113,4,120,67,80,137,50,100,78,141,45,26,31,133,84,14,119,87,19,65,26,38,92,44,22,73,49,61,46,63,69,50,37,1,108,124,11,120,58,119,123,12,126,87,104,115,6,30,54,121,95,43,121,31,80,138,118,4,57,20,109,14,17,13,56,90,3,42,40,138,49,10,116,104,6,24,129,61,79,84,95,127,3,120,43,42,105,0,107,60,78,10,74,115,0,5,97,9,59,132,67,62,111,77,139,98,60,127,19,38,122,27,52,15,30,103,4,109,1,100,67,131,94,29,94,65,77,81,0,50,26,16,81,136,139,139,10,88,82,65,131,16,3,86,113,102,55,99,52,6,5,77,48,50,138,91,90,115,38,33,120,26,91,41,83,91,43,38,62,40,62,93,93,132,76,44,55,13,7,56,42,96,58,76,130,24,83,19,106,31,119,60,46,86,105,37,102,28,71,20,72,82,112,21,47,37,33,87,133,104,14,48,61,44,112,19,12,27,69,2,65,65,77,128,132,42,112,108,138,68,66,105,128,73,81,140,48,8,13,107,89,103,40,92,139,70,1,92,16,91,4,4,117,92,73,85,2,113,38,119,39,66,59,75,8,106,46,117,61,126,99,81,71,83,72,50,114,16,104,2,24,49,29,107,78,113,79,74,84,75,37,65,96,141,0,94,45}

{128,60,73,120,95,115,96,7,77,37,16,2,34,112,65,110,117,37,117,105,106,12,106,79,74,101,57,30,24,120,36,8,121,50,137,23,68,121,63,102,45,24,25,117,106,7,4,47,43,78,106,18,131,132,54,14,126,44,79,126,1,57,82,75,35,122,43,56,49,43,74,109,26,35,36,138,0,13,40,58,72,3,24,12,78,19,63,124,17,115,85,136,35,75,96,1,125,23,140,52,78,36,122,53,22,99,4,3,2,69,92,132,96,52,109,25,87,97,84,74,132,48,20,24,46,102,28,119,62,15,54,41,71,20,79,55,55,44,14,94,132,126,62,97,28,83,12,4,100,107,12,7,22,21,66,124,117,47,123,70,32,23,67,107,104,9,48,32,127,42,21,26,69,48,12,46,77,87,112,130,43,12,13,14,105,19,27,10,58,87,80,118,127,23,124,105,128,32,110,30,11,30,1,112,82,4,21,130,81,103,133,71,36,47,91,21,75,110,119,91,61,130,42,81,40,15,114,44,116,62,49,115,100,105,52,108,133,106,81,15,40,80,132,78,40,72,55,52,67,64,79,81,80,138,25,48,78,45,123,62,86,59,55,83,132,135,116,78,32,132,57,97,42,27,116,101,105,107,50,0,24,132,122,67,53,128,99,12,69,1,115,135,12,71,88,103,2,76,8,63,60,122,48,117,48,33,39,108,119,13,26,132,114,117,53,85,44,26,104,61,78,113,69,118,129,53,55,10,14,6,21,126,26,66,26,43,111,107,119,17,99,58,62,130,139,19,120,115,134,26,43,13,107,54,16,127,51,126,91,6,138,98,43,97,68,6,51,43,90,19,26,110,40,139,32,120,92,34,135,87}

{5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,6,4,1,1,77,1,2,1,2,1,2,2,1,5,1,1,2,3,1,1,1,1,1,2,1,1,1,2,1,1,3,1,1,3,31,1,1,1,3,1,1,2,4,1,3,1,1,1,14,19,1,1,1,1,1,1,1,1,1,2,1,1,2,6,1,1,1,1,2,1,2,1,1,3,1,1,2,1,4,1,1,2,1,3,1,2,1,1,1,1,1,3,1,1,1,1,4,1,1,1,1,1,28,2,1,1,17,1,14,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,7,1,2,1,1,1,1,2,1,1,1,6,28,1,1,1,1,1,1,2,2,1,1,1,1,1,1,2,3,1,8,1,19,5,4,6,1,1,1,1,5,1,3,1,1,1,2,1,1,1,1,1,1,6,1,1,1,1,1,2,1,1,1,8,1,1,1,3,40,1,4,1,1,1,1,1,43,1,1,14,1,10,1,1,2,8,2,1,8,2,1,1,5,4,1,1,1,2,1,4,2,3,1,7,3,1,1,1,1,7,1,1,2,1,1,10,1,1,1,3,4,1,1,1,1,4,1,1,1,1,1,1,7,1,1,1,23,1,4,1,14,6,1,1,1,1,3,1,1,1,1,1,1,6,1,1,1,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,6,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,1,1,1,1,2,3,1,1,1,1,2,4,4,1,2,1,1,1,5,1,1,1,2,2,1,3,1,8,2,6,1,2,20,1,1,1,1,1,1,1,1,1,2,1}

{520,66,2464,7238,4590,416,1302,310,3720,6006,2760,9312,4380,57,8342,1980,1674,1001,434,2871,84,546,84,7452,1235,77,7900,2730,4088,1504,1105,660,2914,6370,1615,3822,5626,2232,66,3717,3634,4088,3555,186,516,370,4560,390,756,3822,780,1287,9021,3318,756,62,7719,970,6723,837,310,1700,3784,360,31,1656,2268,2405,3154,196,95,6035,9405,5,714,4402,8184,1323,833,6237,3772,490,4088,1680,624,5734,294,3069,3485,1568,2254,1092,31,1580,693,2077,1927,4018,2170,1224,7566,1037,5934,2772,756,518,240,2646,7469,1406,2257,7268,42,2664,6958,3465,3007,80,8118,6840,7426,5670,1564,168,1932,5487,8051,204,3104,84,702,1026,4774,1242,2268,124,268,310,2201,7154,3792,9300,2231,5680,2573,123,294,3120,1380,7742,1806,170,1917,266,4485,5148,3162,42,168,936,5917,7938,4018,4266,510,4312,3290,2716,430,1247,1302,7821,1221,2730,966,8740,160,9021,76,1520,616,420,3871,1519,2813,5856,760,2001,648,3201,310,4453,420,6762,9405,2088,1820,7566,792,624,5112,2418,1426,931,8536,2352,168,9310,430,40,205,7161,1666,198,80,70,140,2871,1972,5520,5063,8360,86,485,680,196,1826,80,3068,388,266,288,966,2204,360,140,4018,852,80,420,544,2604,4661,3666,1683,1840,76,72,3920,252,2268,485,527,6887,315,70,6162,2528,420,388,4067,60,260,129,1659,1782,416,7410,5432,237,6100,240,2881,6460,1716,7084,2407,2291,1078,5487,4648,6083,69,4508,616,1235,14,42,2849,1829,3104,2706,714,2387,5810,488,970,608,3660,42,3135,2553,6790,2666,3010,2360,4745,316,2924,931,396,5609,638,4030,812,3185,770,495,3570,4270,780,3920,2923,5913,104,476,148,2001,2232,1302,518,3720,7920,3120,1584,868,3552,6083,3332,3977,560,2268,6596,6935,1885,3660,940,480,48,9108,868,2989,7347,378,40,770,21,8556,3920,462,2840,408,2716,560,1102,168,553,1092,240,4941,9405,8118,340,2233,8342,1974,1147,6789,3234,7663}

Returns: "Solution does not exist"
259

{217,201,52,230,181,69,161,78,113,69,84,200,174,216,100,28,242,197,49,214,229,24,79,116,199,161,70,71,56,256,34,92,57,113,221,84,178,231,232,133,140,234,94,115,209,229,165,4,237,22,50,176,99,153,211,180,185,70,137,256,204,124,130,249,206,49,23,8,206,186,77,21,81,253,129,135,244,105,143,125,25,86,155,122,67,251,202,162,90,119,186,149,163,110,229,66,24,196,151,118,25,53,133,57,225,64,120,137,45,114,97,217,154,210,174,84,46,221,133,33,100,15,188,51,123,129,37,174,99,139,192,74,227,16,2,115,0,183,194,60,101,67,32,155,82,153,249,134,148,19,19,69,206,45,152,63,83,20,242,96,50,191,60,130,178,199,122,253,89,154,15,41,45,232,136,150,233,247,66,170,160,183,201,234,68,186,185,216,232,216,24,68,73,206,121,69,85,11,85,201,46,110,227,9,240,162,31,210,64,124,152,15,195,25,186,44,196,203,172,228,184,39,204,5,179,228,154,145,92,220,203,25,34,115,243,234,60,118,163,152,132,127,192,75,165,91,46,239,124,191,209,132,254,55,230,20,170,244,140,149,23,99,70,108,1,164,47,3,251,51,154,120,20,2,194,47,184}

{255,250,249,27,209,152,103,177,103,258,75,112,216,73,181,60,8,207,177,90,243,219,239,35,134,127,22,24,17,180,14,50,199,110,239,14,176,236,220,97,112,71,186,198,85,123,258,81,158,7,32,134,61,43,4,248,76,26,129,99,85,203,250,11,252,97,243,214,84,21,104,63,55,71,235,187,62,107,142,45,47,212,186,240,15,187,59,115,67,174,43,95,182,48,151,209,11,67,8,19,150,182,245,157,251,198,47,67,65,137,21,233,79,56,35,223,236,63,34,15,206,22,146,163,246,113,68,61,44,69,254,50,16,33,168,4,181,195,34,152,196,256,22,234,207,150,191,215,124,59,133,120,13,119,236,137,158,211,167,213,206,92,202,219,22,250,117,68,175,128,154,47,106,179,207,71,184,113,48,166,195,226,110,22,228,51,32,160,126,98,18,81,155,184,186,110,71,14,8,112,231,131,159,65,32,210,50,100,230,40,94,73,243,177,36,29,104,107,110,199,20,238,39,51,6,201,206,152,118,0,76,80,150,137,17,194,142,65,7,218,222,198,108,10,131,223,58,124,7,131,200,12,49,118,60,58,192,201,77,55,189,174,236,119,202,22,256,230,29,55,71,139,247,157,59,118,180}

{3,2,2,2,32,4,33,2,2,4,1,2,1,1,4,1,1,1,1,5,42,1,19,1,1,1,4,1,1,1,1,9,1,2,1,3,2,3,1,1,2,1,1,2,2,7,1,23,4,1,1,3,1,1,1,3,1,1,1,1,1,1,2,1,1,1,7,1,1,1,2,1,1,2,1,1,20,1,1,1,1,1,1,1,1,1,1,2,3,14,1,18,1,6,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,1,6,1,1,1,46,7,1,6,7,1,3,1,1,1,1,1,1,2,8,2,1,1,1,8,1,2,1,3,9,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,4,2,1,1,2,1,1,1,1,1,3,2,5,1,1,5,1,1,2,1,3,1,1,5,1,1,3,1,7,1,1,2,2,1,1,20,3,3,1,1,11,2,1,4,1,1,2,7,1,1,1,5,1,1,2,1,5,6,1,3,7,1,1,1,1,1,1,13,2,1,7,1,4,1,1,1,2,1,1,1,1,1,2,1,1,1,2,14,1,16,14,1,1,20,2,2,1,1,2,14,27,2,2,1,5,16,1,1,1,8,1,40,13}

{1224,560,560,532,64,760,66,374,2640,228,8556,660,840,1365,736,952,6794,279,918,60,42,1518,57,4488,120,2937,56,2838,1120,1794,1092,81,216,240,1862,651,180,174,3321,873,220,6450,6402,1804,64,42,300,46,420,2492,891,90,4653,205,2714,702,413,552,2001,4554,182,4984,126,5680,1150,2619,462,1580,4278,5335,3760,4895,1472,1462,1380,888,60,1984,5340,814,520,1200,6111,1067,1386,600,5238,2068,90,168,485,270,4818,36,630,6080,2343,342,3555,3920,546,7300,612,2376,1050,2378,3160,522,3589,1914,5335,360,1425,32,616,5673,84,8722,468,4774,92,308,2268,528,42,5520,1248,2632,9900,6460,1394,324,3666,2418,448,1012,1632,913,4628,280,1102,414,308,1575,72,1722,7760,915,3192,9506,882,6004,2898,1554,120,2581,1820,2065,774,4042,3726,873,1512,414,140,56,4753,1326,936,2350,1925,1960,481,567,18,1806,65,5680,3420,1330,6640,693,240,2100,39,4656,649,240,1134,435,264,897,819,2990,3104,228,86,1491,158,80,2436,54,1410,9118,11,376,4050,184,406,1064,1320,1001,3486,442,2813,300,1520,5696,222,24,455,66,546,720,49,240,1150,2280,720,2091,623,13,1092,1276,210,6675,840,7760,5874,3320,882,7298,1148,5612,675,2196,3108,1064,4984,2619,2112,490,918,320,56,2590,2870,240,1034,2880,5313,5544,24,84,54,756,920,742,75,192,2150,6715,2485,704,8633,80,195}

Returns: "Solution exists"
383

{297,161,129,242,150,92,290,367,79,316,49,149,126,105,236,213,124,240,360,296,273,357,101,62,67,212,270,104,332,115,360,307,96,90,376,321,263,324,200,374,287,350,330,270,85,75,38,228,223,344,171,29,15,368,346,299,117,273,334,102,95,249,38,209,57,348,344,321,331,219,357,192,114,187,154,107,0,375,170,59,295,21,126,238,109,276,270,12,378,105,77,176,3,353,284,237,325,212,285,99,132,32,61,90,160,319,196,117,202,100,330,226,18,154,139,328,80,120,321,270,374,306,316,268,63,352,80,272,264,32,129,377,288,324}

{97,86,153,143,148,211,362,382,216,56,230,81,359,186,121,238,335,51,284,274,217,379,202,172,380,92,328,41,268,88,306,201,232,303,259,117,359,321,49,43,247,331,250,193,114,183,26,274,334,286,293,253,185,83,129,380,260,163,255,108,340,209,19,89,44,359,95,351,119,73,375,60,109,222,62,329,10,7,24,382,225,353,231,333,126,210,239,38,247,375,58,275,138,265,141,118,292,356,206,192,318,83,13,320,165,343,250,74,62,9,101,22,311,160,314,169,192,104,244,78,117,268,93,226,166,116,12,359,312,121,107,189,167,87}

{7,3,1,1,1,5,3,3,1,1,1,1,1,1,3,1,2,1,2,1,1,5,1,19,1,1,1,1,2,1,1,1,1,1,1,1,1,1,8,3,5,1,1,2,2,5,2,1,2,1,1,1,1,2,19,1,2,2,2,3,1,6,2,1,1,1,1,1,1,1,3,14,2,1,1,1,1,6,4,2,1,2,49,1,1,10,4,1,1,1,1,2,27,1,1,3,4,1,3,14,1,14,25,5,5,12,1,2,4,1,1,1,3,1,1,1,4,6,1,3,1,1,61,1,1,1,1,1,49,1,2,2,2,1}

{91,1440,380,4788,6438,110,252,66,190,1586,3104,5605,49,3096,69,4455,1440,342,1564,2211,58,15,1860,76,2511,10,1230,6630,918,4984,4420,3040,3922,3675,5037,1914,18,7743,160,684,1425,780,3731,444,1248,570,1564,858,190,3735,2912,754,410,1680,228,1395,572,2,120,60,616,288,2788,6816,3869,17,315,957,1110,213,30,56,352,1780,3724,1470,120,72,1248,102,5680,850,49,3465,1078,30,156,5100,3230,258,2952,480,162,3650,2530,42,204,85,1800,168,3648,210,75,75,275,672,1517,22,1140,7298,2821,1798,816,1225,319,3705,1064,156,3219,276,1254,3510,61,1674,4050,325,5700,84,98,210,3724,690,60,5162}

Returns: "Solution does not exist"
433

{224,186,220,201,100,96,391,21,336,40,128,325,362,318,127,388,67,352,277,132,325,351,142,56,7,132,234,115,208,32,46,190,251,133,419,94,386,384,243,129,383,248,92,358,186,384,179,237,323,348,69,42,76,136,340,301,310,272,396,305,166,425,76,245,2,223,39,404,210,95,165,390,366,197,188,135,25,64,227,276,310,240,69,376,324,295,113,254,143}

{32,48,127,1,60,45,92,432,51,431,181,266,30,185,138,31,73,385,337,301,320,245,158,345,411,34,194,168,49,132,159,421,414,20,349,220,359,306,221,52,93,122,415,141,404,246,271,270,343,185,252,12,180,387,295,220,88,160,15,214,274,428,363,100,250,167,187,204,192,271,430,210,328,399,223,420,416,210,65,277,52,179,316,31,315,107,417,93,142}

{1,8,2,1,1,4,1,1,1,5,1,2,2,1,2,2,71,4,1,1,1,4,1,2,1,2,1,1,1,2,1,1,2,4,3,2,1,2,3,1,1,1,1,18,2,1,3,2,1,1,37,4,1,1,1,1,1,1,1,1,2,2,1,1,1,1,2,2,1,4,2,3,1,1,2,1,1,1,8,1,1,1,2,1,1,3,1,2,1}

{1386,440,348,696,259,240,4012,3162,1457,275,36,688,1974,9100,1218,1530,71,168,4088,2044,688,520,799,798,1843,1316,1235,2952,66,252,300,990,1960,1680,1767,12,846,1248,468,5293,4186,1287,472,72,1160,1888,420,66,3240,8463,74,468,249,6570,1602,876,2990,1157,4410,5673,192,864,150,1924,111,546,4900,2204,7524,660,1612,1881,1242,232,3432,3360,4370,198,224,3431,5135,1722,1554,3690,6080,306,420,92,833}

Returns: "Solution exists"
100

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

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

{1,4,1,3,1,3,1,1,2,9,1,1,2,1,1,1,2,1,14,2,2,1,1,1,1,2,1,1,1,1,4,1,1,1,1,1,1,1,1,1,2,1,3,1,14,1,1,1,1,5,2,1,2,1,1,1,1,3,3,2,1,6,2,2,2,8,1,1,3,2,1,1,1,4,2,1,1,1,1,1,3,2,3,12,1,1,1,1,2,2,1,8,1,2,10,3,2,1,2,1,1,2,7,2,1,1,2,2,2,1,1,3,1,31,1,2,1,38,2,1,1,5,2,2,1,2,1,1,1,1,1,14,2,1,1,1,1,2,1,2,1,1,3,2,3,1,2,3,1,2,1,1,1,1,1,14,1,1,4,3,1,1,2,2,1,1,2,1,2,1,2,3,1,1,2,2,1,3,1,1,1,2,1,1,6,1,1,11,2,8,1,1,2,1,85,1,28,1,2,2,3,28,2,2,1,3,2,9,13,1,1,1,1,1,1,1,14,1,9,2,2,1,2,2,4,1,4,3,9,1,2,2,3,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,2,2,5,2,1,1,70,1,7,1,31,2,1,1,1,2,1,1,1,1,1,3,1,1,1,1,14,5,1,1,19,2,3,1,27,1,1,1,1,2,2,1,1,1,2,1,1,1,1,2,1,1,7,1,1,1,1,1,1,2,1,2,11,1,1,1,7,1,3,8,2,1,1,1,2,1,1,1,6,1,1,3,2,1,4,3,2,1,1,1,1,1,2,1,2,1,2,3,1,4,1,2,1,5,5,14,1,1,1,1,2,1,1,1,1,1,8,2,1,1,2,1,6,2,2,1,1,7,3,1,5,2,3,2,3,1,1,1,6,2,1,1,1,1,1,1,1,1,1,3,1,1,2,11,21,45,1,1,1,1,8,1,4}

{3366,224,1691,63,4002,816,3465,840,612,198,5270,279,646,2920,237,1564,1824,1105,84,280,252,1610,38,2730,172,2520,6699,129,330,1530,1596,5270,341,1892,1653,2370,2660,469,146,1760,46,495,2610,188,280,1131,31,2394,1105,210,608,1634,90,1862,210,7826,1463,432,435,3528,2010,180,3626,42,280,336,93,1242,126,84,89,18,2436,1288,148,1088,1978,126,5159,6734,27,510,783,336,1710,2720,57,102,1426,414,4977,504,3942,222,120,126,528,3819,108,490,19,528,630,4230,282,527,1748,276,306,3060,114,174,632,62,110,1184,2670,76,1736,5829,141,510,1564,988,5073,630,3870,819,2054,4042,1380,280,516,665,105,715,1736,846,1131,704,736,352,48,2538,2604,5824,420,15,26,420,3477,390,24,442,2867,168,1155,1705,672,45,1645,589,3330,504,1428,2686,374,2070,24,2670,198,1071,6570,3366,1472,2052,3476,1479,1540,495,2848,966,357,348,864,671,3216,110,2520,504,935,65,54,1824,85,1632,56,299,960,2368,99,84,92,248,7565,1827,616,378,182,1488,102,770,5,99,2336,5270,140,376,396,4410,2520,2310,644,1720,48,2080,836,1827,198,2790,62,132,261,1026,2262,418,418,536,3465,806,910,6045,33,182,7476,385,1680,6230,7990,1748,390,440,34,57,46,70,26,140,2196,93,6,3510,4094,5696,4042,231,93,2720,282,1653,510,217,366,4872,3149,140,385,2622,186,38,570,285,253,54,534,38,2666,912,140,360,165,2482,3306,2208,1342,5490,285,2759,1748,1216,2622,280,445,1462,3480,3111,5852,23,4410,2232,36,55,4620,70,3358,630,2262,87,320,644,72,1269,3306,1316,55,104,1428,18,209,380,93,1880,1890,96,1566,60,4785,1159,1530,3782,1474,252,3906,210,5440,846,90,1653,1344,3216,840,30,680,280,280,30,310,3960,1012,770,190,705,44,1428,102,576,836,72,9009,1204,2697,630,2520,18,504,3010,140,510,1710,770,4410,1881,64,30,28,48,2436,270,1634,4345,4788,3358,806,846,5394,651,3906,4672,48,969,44,3330,110,126,90,3382,948,532,418,240,3066,440}

Returns: "Solution exists"
180

{128,153,177,53,92,153,41,21,24,32,44,178,77,153,0,124,70,55,56,168,21,34,20,124,44,64,61,13,52,165,98,79,78,168,41,149,157,148,36,46,85,120,32,173,163,24,137,22,18,41,100,74,60,96,80,87,79,148,89,157,85,108,112,3,77,22,153,124,23,131,128,74,127,176,153,91,15,150,168,175,80,15,145,7,153,19,164,101,152,148,159,173,112,142,95,29,33,168,167,62,155,164,133,154,51,63,19,132,16,171,31,51,99,168,123,143,119,136,175,125,19,161,164,67,23,88,79,63,144,90,20,96,121,36,156,96,2,114,148,54,108,24,14,79,116,119,82,135,45,6,118,162,65,125,66,96,19,117,52,97,20,98,81,98,66,176,130,138,11,59,160,145,148,95,73,61,44,56,1,20,80,91,37,39,54,123,7,142,59,36,48,66,71,28,121,89,57,177,111,65,140,165,3,170,124,178,26,48,106,34,54,129,35,144,12,37,110,17,88,153,74,45,148,79,13,79,36,133,144,28,163,122,64,44,160,58,35,80,56,120,150,35,97,50,59,10,132,2,45,68,89,156,2,98,50,107,55,79,159,34,79,143,16,176,8,43,159,136,141,40,121,85,134,116,97,95,100,159,109,25,78,63,71,57,109,168,113,76,156,137,58,135,132,98,171,150,30,103,35,21,84,104,63,162,84,79,139,140,157,67,131,135,164,13,66,50,45,90,175,172,39,102,94,163,163,80,100,20,69,91,177,69,161,78,91,161,115,98,22,156,128,43,170,97,4,19,6,74,26,122,173,119,50,34,12,159,174,129,61,9,81,51,91,133,131,161,48,80,128,152}

{135,74,1,131,145,35,164,143,5,111,79,11,88,40,69,43,148,114,98,36,119,177,22,7,70,50,41,119,166,115,158,86,22,10,136,64,175,2,116,154,91,178,13,176,74,76,6,76,112,99,171,17,57,34,37,168,3,7,73,131,32,128,101,97,90,133,120,19,77,0,96,95,132,60,147,79,85,86,63,6,24,171,109,116,27,125,115,124,101,105,26,37,147,35,85,119,18,26,119,145,120,32,141,10,126,7,58,177,163,39,53,171,16,177,162,40,38,6,42,3,134,99,50,113,69,36,30,6,161,103,53,50,98,118,111,48,81,29,52,14,70,159,42,20,150,32,20,93,129,129,107,174,89,136,172,80,89,28,116,102,115,51,72,145,30,71,75,75,1,4,162,49,130,21,135,161,117,143,121,28,50,136,34,132,126,157,69,11,147,169,93,147,7,119,0,144,9,40,129,18,16,79,74,136,22,3,102,33,109,21,49,27,42,39,87,11,54,6,121,63,119,169,47,0,141,108,167,144,46,78,129,37,24,19,172,47,98,100,106,141,108,43,107,28,131,34,78,27,64,146,2,50,130,48,57,89,165,4,80,133,43,107,124,95,114,93,15,171,129,140,148,70,95,159,99,92,19,16,50,35,174,174,158,174,139,19,162,148,90,11,40,102,162,108,87,120,106,52,79,173,88,18,101,106,46,97,11,151,19,143,177,54,176,40,150,177,100,36,172,68,47,177,132,142,112,170,91,176,123,57,76,9,159,98,87,92,45,110,27,123,84,9,13,70,87,124,111,115,110,0,126,164,8,93,84,76,134,152,131,145,75,33,40,7,171,13,57,48,141,69}

{3,3,2,2,1,2,1,4,1,1,2,1,1,27,12,1,1,20,1,1,4,14,1,1,1,47,1,1,1,1,1,1,5,1,1,1,1,4,1,1,3,4,1,1,1,1,2,1,1,7,1,1,1,14,14,13,18,4,2,2,1,1,3,18,2,1,2,1,1,4,2,1,1,1,3,9,3,1,1,1,2,3,1,4,2,3,1,1,6,2,16,1,3,2,1,1,2,1,1,97,1,2,1,1,2,4,3,3,4,2,1,2,7,7,2,1,4,1,1,3,27,1,2,1,1,1,2,2,1,18,1,2,9,1,3,1,20,1,1,2,1,4,1,3,3,2,1,1,1,1,1,39,10,1,1,14,1,3,1,2,1,2,2,1,1,1,1,1,1,1,39,1,1,8,9,1,1,1,1,3,2,1,14,1,2,2,28,1,1,1,1,1,7,2,9,1,1,3,33,2,1,2,3,1,1,2,2,1,1,14,1,1,1,1,6,7,1,2,33,2,1,1,2,36,1,1,1,3,1,3,11,1,1,1,1,2,2,1,1,4,1,1,1,2,16,2,3,2,1,1,10,1,5,3,1,1,2,1,2,1,1,1,1,1,2,1,3,1,11,3,1,3,1,96,9,2,1,4,2,1,3,1,1,1,2,1,1,1,3,1,3,1,3,1,6,1,1,1,4,1,1,1,4,1,2,36,7,1,1,2,4,1,1,81,1,2,1,1,1,2,2,2,1,2,1,1,1,1,4,1,1,7,2,9,3,2,1,3,2,1,2,7,1,3,1,1,1,1,1,1,1,2,2,5,2,1,3,3,1,1,1,2,27,1,2,1,1,1,4,42}

{432,918,3108,160,8342,1836,14,56,220,330,1368,644,2838,162,252,3157,1428,200,1674,8099,1288,420,5520,1148,798,94,273,7452,240,7790,2538,6408,720,3094,497,2538,94,340,8544,6,27,1748,810,2747,4488,164,3854,3280,2244,63,1914,3264,3783,70,84,546,216,476,180,1504,30,2640,1020,108,1548,7440,2052,3321,1634,288,336,2040,8463,2613,702,216,15,1869,5824,94,28,330,5044,672,918,891,190,2460,420,476,96,3444,663,340,120,3956,1628,1456,828,97,2356,10,4092,102,494,448,2592,2604,616,2508,910,1254,252,1092,780,324,2208,6674,37,594,81,4662,94,150,1596,2937,1224,3008,2442,36,690,658,594,623,957,798,100,1720,340,2108,1155,96,2516,1656,672,460,552,135,2607,3102,77,78,50,2343,418,14,810,2418,480,1692,6555,1026,3900,5238,646,5159,3705,3648,518,7120,78,5723,4420,280,108,2886,3534,124,7326,1794,658,1917,420,7068,806,940,84,70,3120,534,285,741,308,3588,396,330,8827,2268,33,1100,924,2952,918,6035,3280,2484,752,4218,1196,280,3658,1122,2516,2508,702,84,2418,3008,99,1728,4692,474,340,72,3564,3960,801,1023,66,1170,264,5124,188,3078,858,480,1836,406,713,836,1155,5236,396,3666,160,1190,1395,340,3713,2726,20,8178,260,1026,9118,110,4100,6408,672,6510,5544,44,1148,2680,840,385,480,4686,132,891,6732,21,1080,96,252,1720,2349,672,2444,2788,585,2496,3619,3783,2548,7371,1950,2788,1044,574,2592,2538,2418,2970,858,1596,782,90,1224,2296,330,2684,960,1794,10,72,98,1947,7614,12,672,1674,134,81,399,3948,2291,3204,22,638,380,3948,6231,440,4488,1190,783,4623,420,2619,3444,1092,3552,270,702,3182,7505,702,1360,1740,240,1001,6885,252,6942,3321,3102,4845,624,2196,1066,92,1974,70,270,3936,351,462,1248,8827,5700,1406,81,2604,1056,5994,5529,798,528,84}

Returns: "Solution exists"
72

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

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

{6,1,2,1,1,1,2,2,1,1,1,2,3,1,1,1,1,1,2,1,1,1,1,2,8,2,1,1,1,1,1,2,1,1,7,1,3,6,1,1,1,2,6,9,1,1,1,1,1,3,1,2,1,1,1,1,1,1,1,3,1,1,1,3,1,2,1,1,1,1,1,1,3,2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,3,2,1,3,2,6,2,1,1,1,1,2,1,1,2,4,1,1,1,2,19,1,3,2,7,1,1,1,2,1,2,1,1,2,1,1,1,3,4,22,1,1,1,16,1,1,1,27,1,1,1,1,2,2,1,31,1,1,1,1,1,1,1,1,1,3,1,5,2,19,2,1,1,1,1,5,3,5,2,1,1,2,1,2}

{420,3692,308,1485,4845,5432,1320,1722,374,1813,6162,468,66,1634,1463,2,234,3479,1100,1190,6532,6642,3220,1392,336,946,2499,3792,504,4089,22,1462,1026,3922,392,5044,135,144,45,8004,3666,924,126,90,8835,1404,3145,760,1482,135,2528,52,1802,1005,52,1254,140,3476,4558,48,3230,1776,2485,42,2064,98,171,4876,62,7663,663,2263,81,1508,13,3792,66,5820,572,6566,3104,1140,1850,6700,2387,6,3692,1404,665,630,2442,481,1566,2548,780,550,4020,315,3311,255,2214,7395,37,132,572,1612,1431,150,1566,95,798,54,816,462,1680,3515,902,774,3350,3700,5,945,4,240,7178,4371,2418,300,44,2332,1100,98,96,1026,923,1140,162,3626,1634,2842,2646,468,528,4510,186,4158,8100,2035,657,1161,7905,5698,666,3180,2046,60,50,1400,19,1560,1428,6006,1820,38,100,459,95,902,5394,2835,2064,804,12}

Returns: "Solution exists"
474

{46,81,420,54,243,77,367,241,310,417,452,32,175,79,258,144,261,42,463,191,134,42,240,274,7,325,63,412,54,62,234,80,463,373,440,324,390,377,432,164,227,288,256,323,278,409,464,72,194,293,111,86,275,267,421,348,378,315,419,132,410,165,32,141,439,414,225,107,247,414,321,430,52,73,167,444,319,16,371,356,345,116,434,366,413,226,98,246,36,266,451,17,471,240,107,139,379,234,85,359,238,30,360,35,351,310,305,91,281,200,281,318,241,435,393,226,32,182,269,332,442,251,164,122,356,112,10,2,417,7,186,284,228,222,261,365,409,326,151,399,4,35,414,19,215,262,225,425,19,255,54,356,128,266,306,68,450,473,156,51,73,175,364,365,41,233,289,230,255,122,173,465,71,410,248,263,329,110,374,281,455,422,103,85,144,386,347,321,459,449,33,213,19,89,126,464,430,111,155,193,471,33,39,249,135,336,4,227,443,288,6,431,206,328,73,278,322,193,212,29,296,73,345,148,183,128,379,468,393,48,124,11,263,64,95,147,366,103,395,178}

{64,254,368,184,210,434,270,379,236,213,79,222,147,53,169,226,140,397,166,336,329,19,365,155,199,355,22,261,170,395,157,9,366,104,380,8,131,185,56,107,408,109,285,390,363,279,118,331,456,425,441,441,246,354,263,414,115,81,159,174,278,434,151,257,210,387,321,41,33,415,203,96,328,212,361,306,152,323,238,411,112,245,408,261,9,128,147,435,184,125,1,29,305,415,300,132,95,188,146,258,424,422,203,64,37,387,93,250,385,263,263,72,463,149,219,28,320,199,115,6,454,424,229,241,184,426,58,136,23,407,79,429,243,64,164,407,253,355,9,297,182,260,317,304,38,37,294,123,191,144,285,131,421,295,270,131,179,0,381,157,144,7,201,56,59,125,110,365,70,453,20,252,3,453,418,302,129,16,250,179,200,284,282,125,72,86,454,51,349,110,189,349,399,236,198,456,108,47,89,336,83,216,54,189,453,54,218,169,276,109,444,40,432,257,471,43,261,188,23,209,421,288,89,60,463,306,90,57,74,80,64,385,271,104,23,450,383,89,272,397}

{29,1,3,2,9,1,4,2,1,1,4,1,1,20,2,1,1,2,1,1,10,3,1,1,10,1,1,1,2,1,7,2,1,1,1,47,1,1,1,1,1,1,1,1,1,1,1,19,2,1,2,1,1,1,2,1,2,3,3,2,9,6,1,4,1,1,1,1,4,1,6,8,1,1,3,5,1,2,1,2,1,3,1,1,10,1,1,3,1,9,2,30,1,2,1,1,1,7,4,1,1,2,1,2,7,2,1,3,1,1,2,5,1,1,1,1,3,9,1,3,1,1,1,2,2,1,11,3,85,1,20,1,2,58,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,5,1,1,1,4,2,1,5,1,1,1,2,2,1,1,2,3,1,1,3,9,11,2,2,3,1,1,1,1,10,5,1,1,6,1,1,2,1,3,1,1,2,4,1,1,1,1,3,4,1,6,1,1,12,2,1,1,1,2,4,1,3,7,1,1,1,2,4,1,1,1,1,1,1,6,2,1,1,1,2,1,1,5,1,1,1}

{174,2142,504,1736,810,1794,560,1984,574,4845,320,1218,5475,40,1860,7820,4914,144,3905,756,300,18,3286,1794,720,1420,4774,2912,2632,332,280,4700,5325,2706,793,94,1425,2232,470,2291,7476,1184,377,950,6642,26,5822,190,1176,1998,1892,1540,3984,2772,1672,2553,296,315,390,1148,81,1248,1155,700,7614,1554,90,1738,120,3108,36,56,5644,2492,252,275,161,646,264,1218,3969,1260,6942,6825,700,8372,1825,144,3162,990,64,60,1591,2604,4187,1092,1302,280,260,558,280,1302,924,812,63,1722,3139,1632,4002,8536,2024,475,4544,171,2646,644,420,990,728,78,740,1120,2262,1472,1302,5022,33,87,85,5520,80,80,2520,58,2639,3657,98,6177,1100,1656,1683,1092,333,282,4002,238,170,1917,2880,7820,728,798,3458,2772,400,5187,1121,3942,2208,840,2380,1200,4071,265,638,84,1520,106,8372,138,459,2520,406,18,630,440,1230,646,714,874,4753,62,2499,180,1615,1085,620,90,7614,2926,264,5358,72,203,186,984,120,3010,2262,297,3034,24,280,286,24,1512,935,420,828,1184,2145,1272,1034,1700,1036,1377,1092,616,7565,3540,798,224,1421,2516,3053,2275,6138,390,378,1504,5510,6177,6952,2378,1785,4307,825,1479,830,1424}

Returns: "Solution does not exist"
313

{132,104,131,55,38,36,160,232,101,117,158,267,46,134,117,116,121,77,50,25,203,177,54,261,284,206,123,300,49,281,187,92,71,240,154,206,153,21,73,257,103,149,210,222,65,237,54,188,101,286,15,162,300,295,299,137,158,309,241,7,305,136,129,306,105,98,136,65,237,254,73,206,126,66,69,25,177,206,106,0,98,41,152,173,128,258,310,228,162,147,107,13,71,222,49,63,231,168,2,205,60,239,197,147,6,25,270,295,181,270,243,123,169,291,203,79,140,223,301,213,186,165,213,52,20,99,188,204,245,298,152,95,107,310,88,11,311,213,226,95,277,159,38,104,186,291,116,223,249,263,185,174,226,175,124,182,212,274,76,17,171,13,178,110,152,255,120,50,34,278,160,259,166,222,205,224,205,244,41,212,283,221,78,10,171,192,114,38,186,93,49,247,22,77,284,130,74,191,153,196,57,95,304,164,265,168,199,224,99,149,143,78,57,268,86,114,309,240,159,304,100,278,145,64,232,133,42,22,58,221,249,77,215,36,60,115,157,248,229,73,238,307,142,152,240,32,13,168,23,120,125,85,2,76,195,18,189,7,291,179,50,148,247,20,288,71,19,63,171,156,256,180,91,199,151,119,308,84,254,226,289,81,163,165,191,233,1,132,163,302,60,111,95,127,120,51,186,53,83,291,90,288,212,200,116,155,311,148,219,201,53,300,18,111,76,229,203,92,251,268,135,171,148,244,256,46,154,132,113,22,94,122,125,196,309,49,67,269,35,142,245,59,78,220,270,188,291,36,71,120,251,212,170,104,12,134}

{186,116,10,217,189,91,133,170,294,204,142,222,254,55,152,52,210,159,107,67,308,155,82,23,58,302,78,20,16,173,143,6,112,245,108,157,19,36,53,147,202,164,195,283,81,5,153,244,1,218,167,251,52,266,276,31,238,245,45,205,190,25,184,104,287,2,141,77,289,150,8,185,221,228,100,50,75,248,100,113,239,288,106,49,0,294,78,236,83,272,18,282,209,111,223,134,179,178,120,130,135,238,63,164,5,178,303,246,18,273,134,186,108,286,73,7,68,174,173,145,45,220,89,307,198,286,162,149,258,23,52,73,33,72,17,274,59,1,103,141,304,85,307,63,228,119,247,251,159,144,28,217,36,129,139,229,100,178,87,20,160,219,150,207,61,162,16,184,154,8,282,49,207,305,254,175,192,16,271,77,188,237,13,174,293,148,140,296,277,53,215,112,257,112,110,74,67,259,270,201,151,187,238,275,120,119,223,4,90,2,206,138,60,66,103,260,25,221,191,49,142,89,221,79,65,286,262,71,228,51,84,190,132,6,220,193,41,149,158,195,45,188,103,44,1,73,66,101,291,185,262,167,37,216,202,288,76,304,171,294,133,99,262,292,197,254,12,267,86,212,134,147,286,144,17,36,86,67,156,180,177,140,167,119,204,266,294,23,125,110,27,30,170,29,283,283,13,277,263,266,47,233,36,207,214,163,195,273,139,189,244,242,55,109,106,221,295,198,152,278,34,146,142,226,33,203,31,298,284,216,93,237,132,253,28,217,190,125,293,207,155,188,199,196,151,52,244,169,42,299,141,44,86,288,70,213}

{1,2,1,1,2,1,1,1,1,1,3,1,4,1,4,25,1,1,7,3,1,1,1,4,1,1,2,1,1,2,5,1,16,2,1,23,1,2,8,1,2,1,1,1,13,2,1,1,1,1,2,1,1,2,1,1,39,1,1,1,1,1,1,1,13,99,11,1,1,1,2,1,2,1,4,1,61,2,2,1,1,1,2,1,3,1,2,1,1,1,7,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,4,2,3,3,1,2,3,1,1,11,1,5,1,1,1,1,2,1,2,1,1,1,1,5,1,14,2,5,1,1,1,1,12,2,1,1,2,1,11,2,1,1,3,1,1,2,1,1,1,1,1,4,1,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,11,1,4,1,17,1,6,1,6,4,2,1,1,93,1,1,2,1,6,1,1,1,3,4,1,5,3,1,4,1,1,1,1,3,2,1,1,1,1,2,1,1,11,1,4,1,2,1,1,1,1,5,2,1,3,3,1,2,1,3,1,2,1,1,1,4,7,1,1,1,2,1,3,2,11,12,1,11,7,1,1,3,4,4,1,1,1,2,1,1,4,1,2,1,1,4,1,1,1,2,3,1,1,23,1,2,1,1,1,1,6,4,4,1,6,2,2,19,1,1,1,2,1,1,1,1,2,2,1,1,1,2,1,2,1,1,1,1,1,1,2,12,10,2,5,1,4,6,2,5,2,1,1,3,1,1,1,1,1,4,2,1,3,2,1,1,1,1,1,1,1,2,1}

{2635,100,440,3476,374,1586,3003,760,1679,3080,39,3422,80,1106,952,300,962,1794,77,2139,4450,2623,216,576,1474,1978,884,370,6640,308,780,1739,96,414,402,46,3760,130,528,1960,1344,6789,1591,3068,91,1190,376,4002,3358,1100,1558,609,5550,66,80,2134,78,4278,2040,1683,204,3795,282,118,13,99,440,598,782,236,2728,1610,1144,3827,20,5313,61,1380,116,1476,6039,237,1972,3652,180,23,260,3827,602,4606,42,222,2912,1947,7636,602,2610,2583,2772,323,170,4758,3225,3577,3290,2829,143,60,1218,671,700,1054,4891,660,2200,1683,216,3036,1188,264,1240,1950,231,4425,15,1540,609,5115,46,1600,5100,3432,504,510,2772,522,300,1518,168,3432,330,3783,2006,86,2759,240,300,8004,1833,468,3115,132,728,5358,1968,3168,356,369,154,220,1092,438,2419,1102,68,336,560,231,222,4898,6734,3071,570,236,68,2793,340,1840,4503,4094,4524,442,156,33,348,140,135,170,930,624,664,48,520,1104,3886,1767,93,1961,517,1856,1071,780,4290,4891,1148,1008,92,490,665,3069,2990,1040,5355,817,2730,470,2139,234,2067,4565,12,6083,312,1122,520,132,3021,416,1958,312,3337,2346,680,1222,850,414,1817,1860,1287,3784,1560,5133,42,612,414,2552,258,4599,960,140,1060,3686,7326,644,2752,42,154,495,60,667,231,140,318,465,75,32,1520,2494,780,3560,420,49,2684,52,748,624,5785,6603,40,56,1403,2457,874,624,2915,418,46,5440,460,2494,3655,1650,1482,180,364,312,186,240,774,660,190,57,2314,1577,1700,1978,645,1708,2993,704,1104,4662,3318,2013,406,2574,150,555,5916,1501,74,636,84,1288,360,400,66,850,2747,1196,156,1462,340,1450,8277,3652,1581,620,609,57,1978,8700,52,1450,187,2175,1380,1898,1824,28,7656,801,1235,6,380,462}

Returns: "Solution exists"
422

{92,252,188,248,18,305,413,190,409,249,415,255,311,71,81,284,106,158,92,66,319,59,314,263,194,70,259,229,37,262,59,371,82,314,235,95,229,406,332,266,208,363,5,182,50,21,315,39,8,108,392,235,40,106,167,335,121,297,274,94,420,221,204,297,354,179,366,416,420,306,224,366,105,163,31,293,157,176,83,225,29,29,243,79,303,323,263,185,292,362,378,26,210,25,337,98,110,281,161,408,397,3,302,221,345,32,320,156,71,188,242,101,239,129,267,384,97,314,415,140,159,255,152,191,32,71,222,201,289,11,18,39,296,244,259,60,279,7,204,113,46,205,310,270,361,372,20,301,301,176,92,180,89,59,389,111,20,406,123,386,365,372,214,195,346,56,33,35,173,197,7,240,176,154,263,168,270,125,193,325,82,103,359,102,333,225,375,231,12,79,364,13,36,5,0,259,185,185,376,223,215,402,178,42,248,282,386,374,210,285,202,79,402,189,361,145,19,32,378,227,204,205,210,120,303,262,193,118,355,59,96,400,26,149,49,178,347,288,194,58,251,130,122,92,192,167,389,362,99,86,138,214,259,413,55,360,120,365,193,77,342,217,142,55,85,70,381,186,73,237,265,58,380,208,244,399,371,73,274,153,86,42,21,325,351,397,104,207,216,47,168,346,271,174,370,298,356,267,322,372,345,18,7,24,85,298,65,136,142,421,344,86,264,175,342,47,32,344,212,54,403,397,235,88,361,47,314,333,30,218,64,270,192,266,295,99,324,377,171,331,298,256,158,105,0,287,348,82,342,369,310,195,123,154,286,230,167,46,401,131,209,27,21,314,110,3,92,58,38,223,208,247,18,386,191,232,273,233,57,340,116,236,104,329,33,263,17,357,181,311,16,183,211,165,386,187,247,309,294,340,331,110,171,66,247,132,275,412,27,87,405,258,393,61,96,349,18,179,314,255,107,336,155,311,147,165,158,195,130,58,140,149,272,217,148,45,310,301,316,369,116,275,293,167,155,179,267,204,16,276,151,80,290,257,56,15,52,349,396,149,180,183,376,199,119,269,284,91,159,65}

{340,34,62,57,43,330,210,273,303,102,255,210,263,142,373,261,142,317,33,349,116,211,96,233,211,195,310,54,71,111,111,283,127,95,176,330,419,277,13,320,267,259,183,330,60,386,418,233,149,107,351,379,254,306,237,47,371,131,396,413,222,191,23,237,173,153,76,154,325,132,233,27,174,270,11,78,156,91,290,403,63,360,341,244,73,312,117,134,7,177,132,200,138,388,235,370,92,170,255,246,212,345,381,347,358,249,256,70,327,299,94,37,116,347,122,139,70,157,13,205,326,199,83,205,192,212,35,122,146,291,307,280,77,300,65,47,261,363,388,405,27,272,10,37,174,406,11,186,121,241,255,46,97,264,316,5,284,384,347,145,76,181,30,4,244,322,360,57,70,29,284,299,61,293,366,301,379,274,159,324,72,256,65,252,89,107,93,240,412,38,29,290,5,137,63,267,67,302,285,195,109,346,227,152,193,130,385,85,183,385,55,111,347,367,196,258,310,94,194,360,301,179,131,405,402,151,330,196,136,249,248,277,147,160,7,80,148,323,56,310,207,189,343,151,128,274,152,349,76,124,378,197,2,58,335,110,417,66,353,304,58,378,275,303,184,386,142,211,328,356,281,417,93,2,27,297,261,33,414,393,170,264,371,198,215,30,156,287,415,124,280,344,137,202,178,187,185,148,258,70,66,335,327,196,380,366,296,225,379,345,420,226,14,360,244,41,174,373,25,204,410,321,208,19,325,24,265,65,316,310,178,58,37,293,251,229,412,207,278,85,335,273,231,134,392,332,143,49,31,325,26,47,346,177,158,369,379,222,223,274,269,270,223,247,292,61,15,11,181,189,319,250,183,73,402,355,31,323,289,173,13,17,169,55,238,408,78,380,376,382,211,379,359,197,215,69,238,367,248,123,299,232,119,25,348,371,23,354,135,252,256,313,249,374,265,287,324,113,264,249,219,38,337,20,255,332,202,19,204,348,66,355,36,305,20,56,39,306,346,367,128,387,393,147,418,408,175,138,51,280,265,100,285,191,65,303,293,273,7,98,291,35,225,149,302,30,294,220,228,354}

{1,1,1,1,1,1,2,1,2,1,1,2,3,2,1,6,1,1,2,1,1,1,7,1,1,1,3,1,5,1,1,2,14,1,1,4,1,1,1,1,1,1,1,4,1,1,1,2,1,9,1,1,2,1,2,1,2,1,1,58,1,1,1,1,1,1,14,1,1,1,10,1,2,2,1,1,1,1,10,1,1,2,4,1,2,1,1,2,1,1,1,1,2,1,1,2,1,1,14,2,1,20,3,1,1,25,1,1,4,1,2,1,1,1,1,16,1,1,1,1,1,1,5,2,1,4,4,1,6,1,1,2,1,25,3,1,6,1,8,2,5,2,3,7,2,1,1,1,6,1,2,1,1,1,1,1,1,4,1,1,5,1,1,1,2,2,2,7,1,2,2,1,1,1,1,6,6,1,1,1,1,1,1,1,1,1,2,1,1,7,1,1,1,1,3,1,2,1,1,4,3,2,4,1,1,3,1,1,4,1,1,7,1,4,2,1,14,1,1,50,8,1,4,1,2,4,1,4,1,1,1,1,1,1,1,12,1,1,2,2,1,2,1,4,1,1,5,1,10,2,1,1,1,2,3,1,1,1,1,6,1,1,1,1,1,1,1,1,2,3,3,1,1,1,5,1,2,2,1,1,2,1,1,1,3,1,1,1,1,1,6,1,1,5,2,1,1,5,2,3,1,3,2,4,1,1,1,1,2,1,1,2,4,2,1,1,5,1,1,2,1,1,1,2,1,1,7,1,1,3,1,2,1,1,1,1,1,1,2,3,1,1,1,8,1,1,2,1,1,1,3,1,2,1,1,45,2,6,12,1,1,1,1,1,1,1,1,1,2,4,97,1,1,2,2,1,8,1,1,1,1,1,12,1,6,9,1,1,2,1,1,10,1,11,1,1,1,8,1,1,1,1,1,1,1,2,1,1,5,1,1,4,1,1,21,1,1,1,1,2,1,1,1,1,2,1,1,2,22,2,1,1,4,1,1,1,2,1,14,5,1,1,1,2,2,1,13,2,3,1,2,2,1,2,1,1,1,1,1,3,1,4,2,1,3,1,6,1,2,1}

{928,1209,117,385,273,2244,116,5368,1462,6900,2842,196,117,1880,7298,1440,3666,1416,96,553,3104,1431,441,630,2438,2208,1302,1258,280,8736,2457,2220,294,1176,61,408,595,6716,5609,102,6305,5115,8700,952,42,6014,1550,2660,966,270,228,30,656,2379,1260,2580,2442,4700,2701,58,12,1924,5896,4230,1360,369,70,1200,61,1220,70,910,2520,1932,1824,240,3201,3111,280,4466,84,100,1824,700,272,36,288,1128,5330,3422,1260,594,20,1720,5,594,1376,660,196,900,84,60,741,2183,5340,100,255,6693,920,288,406,1120,1440,354,4355,96,1380,1617,2059,1330,9100,8134,760,1820,550,840,84,5628,216,323,1491,684,3318,300,1023,602,864,4510,440,1122,390,1680,378,210,4410,1932,1121,936,792,1403,1568,2010,1380,540,2380,7917,5310,368,5546,1054,350,1974,1107,1056,4900,928,150,308,5865,44,3690,2272,2989,240,126,936,210,925,7300,122,1806,80,1320,897,4071,1566,1540,4544,308,56,196,4970,5916,8439,126,6045,4324,3666,2790,96,261,294,2100,8645,365,1650,2666,5820,100,1333,5655,91,354,520,196,408,42,1450,2898,100,792,2870,100,3234,102,1824,4964,8,4386,2700,315,2117,1566,273,4838,420,4130,74,736,1722,423,1716,2412,608,506,1036,1615,4582,420,2320,630,902,7161,2378,1740,2150,245,175,5548,420,3034,4788,2162,2958,4620,4278,5358,689,240,2610,462,410,2948,7469,1300,1081,3552,48,1961,819,580,1820,7178,4819,36,27,4656,576,261,3440,234,4998,7760,1170,924,2204,8178,910,696,483,420,420,3772,84,4020,406,2607,2958,1410,5460,51,1450,440,1300,3700,2150,450,4539,3612,3256,3003,13,97,448,5978,3612,294,1947,756,798,3948,1722,770,10,1316,1020,22,90,3870,1860,1740,440,3776,168,342,5056,432,2478,3552,2745,378,1376,4606,2832,4897,45,420,60,12,3700,988,2730,1164,1519,2795,980,1312,1558,2632,156,97,2232,2100,496,156,4042,1056,70,4158,2465,2272,2397,240,7743,30,18,2256,3685,4230,156,4134,300,2120,22,558,2052,930,40,330,2726,2976,2021,3870,301,496,740,1541,176,1105,624,330,24,9100,4753,126,5056,42,1394,980,4900,2079,4424,310,2301,2842,869,3835,224,264,656,133,1806,816,2508,4130,1120,1596,4392,196,360,736,1426,455,812,1550,738,260,440,234,954,1596,2820,2170,2236,1056,1394,445,6952,5986,378,1139,700,2610,1743,585,2052,990,2958,4300,528}

Returns: "Solution exists"
370

{95,52,161,14,201,191,74,277,192,306,272,46,81,362,326,171,240,367,10,323,185,65,261,148,287,111,218,211,138,153,63,127,321,83,301,319,131,17,149,246,95,101,316,310,319,306,212,203,259,12,206,78,249,168,67,199,213,146,92,268,339,266,130,304,52,288,189,116,292,186,364,29,203,340,364,34,199,135,208,35,353,176,103,26,345,241,296,153,326,324,119,208,183,355,209,138,40,63,286,254,360,141,200,199,180,284,3,93,118,266,144,312,9,259,98,202,358,63,100,180,118,309,219,325,34,344,281,28,343,351,250,229,54,96,321,122,313,77,192,251,158,117,255,292,185,70,15,344,165,68,31,293,332,125,58,207,202,314,52,235,361,311,50,317,318,180,111,318,222,12,96,47,20,118,138,363,95,91,112,85,107,283,35,58,278,269,74,278,217,0,102,358,104,86,190,195,156,199,246,284,228,122,41,50,211,81,294,181,74,249,346,366,153,137,310,154,182,205,23,24,123,290,235,245,76,345,293,71,122,118,24,265,125,361,1,288,250,206,48,339,101,363,347,130,53,17,368,135,259,312,93,57,228,119,247,172,311,266,362,50,18,215,331,191,339,259,213,150,78,12,310,102,259,195,216,271,148,45,37,357,248,169,203,26,318,3,151,195,204,150,181,338,75,294,97,308,249,233,71,286,323,276,36,62,161,144,68,149,348,77}

{259,180,30,317,109,224,37,23,16,314,210,352,331,219,166,284,294,256,235,184,64,309,259,176,100,260,327,284,217,262,37,223,37,160,145,288,152,47,234,156,364,31,251,214,43,21,198,280,28,324,283,37,327,214,295,113,227,297,134,47,134,359,135,213,323,171,263,247,224,281,29,194,177,184,325,102,10,185,275,190,84,15,223,206,266,120,76,15,313,195,11,207,98,243,41,56,300,268,86,31,233,237,9,180,42,124,57,352,271,106,5,22,116,129,343,164,176,81,184,140,353,211,203,199,354,315,346,43,307,322,68,30,276,334,97,161,94,329,44,227,69,2,8,365,90,292,66,339,170,105,241,288,232,306,115,54,80,145,255,260,344,142,359,262,78,112,358,220,230,189,2,124,91,83,319,113,282,240,290,336,44,47,71,286,230,181,239,284,232,301,8,33,282,91,266,39,6,35,321,7,152,313,250,58,249,121,284,19,130,208,43,55,211,284,80,19,226,193,285,181,151,175,94,117,292,241,323,217,109,368,284,360,205,161,180,276,143,94,73,103,63,318,326,36,34,181,155,171,201,180,227,159,115,123,367,171,322,28,55,231,9,276,346,329,54,203,141,179,105,246,334,239,245,222,300,134,249,114,122,166,241,130,95,250,253,116,0,325,12,103,365,34,126,185,226,175,160,270,263,175,106,24,82,287,321,89,17,148,266,351}

{1,11,3,1,2,10,1,1,1,1,1,1,1,6,1,1,2,43,5,1,1,1,1,1,2,1,2,1,3,1,1,1,1,30,3,1,1,9,2,2,2,3,1,1,2,1,4,1,1,2,1,1,1,1,2,2,1,1,9,3,1,1,4,2,5,1,1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,1,1,1,2,12,1,2,1,1,1,6,1,2,4,3,1,6,2,1,2,1,1,1,1,1,2,1,1,8,33,2,1,1,1,24,1,13,1,11,1,1,1,8,1,1,1,1,2,1,1,15,1,2,1,3,2,2,1,1,1,1,1,8,1,4,20,1,2,1,3,3,1,1,2,9,8,1,5,5,7,4,1,1,2,1,1,1,1,2,1,11,1,3,29,1,1,1,1,1,1,1,2,2,1,1,1,1,3,3,1,3,1,1,2,1,2,2,7,1,1,3,1,1,1,1,5,5,4,3,1,1,1,1,5,1,1,1,1,1,2,3,4,3,1,2,2,2,1,3,1,2,1,3,1,1,1,1,5,1,3,1,1,4,7,1,4,4,1,1,1,1,4,1,1,1,1,1,1,1,1,14,1,2,1,1,1,1,2,2,1,1,1,5,1,1,3,1,1,1,1,4,1,1,2,1,2,5,6,1,1,1,2,1,1,2,3,2,1,2,2,7,2,2,1,1,1,2,1,4}

{2774,495,1035,3762,246,30,3504,5074,1593,2387,6164,244,2665,468,2755,5440,1820,86,300,170,3225,870,5037,444,4324,280,528,3485,2088,2378,5694,2030,5621,90,285,174,7482,198,114,2030,798,69,166,1360,696,2201,936,2256,4891,2184,1798,4818,48,1104,1860,152,282,57,162,1980,1377,2368,36,276,110,192,572,84,840,555,3570,4930,1175,629,1680,91,600,1548,78,2666,476,2960,5162,1740,1600,168,2988,2320,174,1400,1264,468,2795,2444,28,2436,4277,780,992,2139,3920,219,1856,792,7524,3740,92,196,2652,576,33,2204,448,3285,1462,144,1887,390,1564,693,357,3567,1692,80,420,525,1739,1608,1428,5720,5035,180,2772,4214,385,345,228,420,2419,94,2135,2046,1150,224,2537,952,240,119,1144,4940,552,36,1218,2294,836,396,360,1155,275,140,42,152,185,4059,858,3366,408,2002,380,1716,3038,396,5520,510,174,570,2698,3588,1326,3465,3977,6138,2150,682,798,880,1776,3570,504,1026,598,1479,142,2208,1984,75,2030,344,770,4080,5916,30,212,110,123,5655,1190,880,48,78,1128,969,2378,2040,680,4720,6111,115,4366,5005,360,78,380,1386,4648,600,180,1800,1230,816,7735,2480,370,966,3762,84,742,2204,150,1513,78,390,2813,8,21,990,48,576,438,5742,2303,506,1292,7110,516,3264,520,4288,1482,265,5696,84,1927,70,1683,3431,438,45,1716,2730,7310,481,4599,100,3995,4212,12,3477,1095,7505,888,24,1786,3180,962,28,216,400,702,801,1760,91,644,3010,315,276,90,3332,650,186,360,364,72,3384,5313,2607,1710,228,320,1320}

Returns: "Solution exists"
406

{210,330,102,83,279,164,90,371,6,179,285,273,122,371,6,47,220,47,239,357,171,337,399,143,11,302,372,298,333,382,0,55,401,201,155,32,46,238,398,84,65,99,221,226,369,38,33,287,205,345,391,205,338,208,42,126,378,23,326,45,397,262,393,112,131,88,289,227,256,248,239,60,282,187,100,193,4,17,291,213,202,220,316,166,342,23,294,360,319,14,315,385,334,362,293,383,382,78,215,82,373,129,297,139,337,41,23,30,36,160,60,105,281,117,36,300,125,129,239,348,346,233,276,316,8,370,323,3,196,46,261,256,61,180,252,66,238,334,118,143,398,109,326,388,133,50,120,121,65,269,320,144,186,325,239,196,66,237,151,279,145,314,375,162,121,335,332,373,72,375,369,35,186,5,135,5,232,347,301,44,394,383,26,352,350,77,142,243,134,291,114,109,85,65,125,340,334,82,383,349,252,312,93,228,147,249,299,74,388,211,217,276,268,386}

{370,131,162,45,332,287,216,215,283,358,50,367,320,335,371,261,117,340,289,246,62,399,161,53,243,344,55,278,158,315,39,25,103,150,5,323,10,10,384,391,398,199,282,188,61,290,266,306,398,293,146,62,103,149,39,352,248,92,89,88,227,168,90,173,1,143,28,117,231,358,129,336,134,108,86,312,116,123,328,375,122,205,170,98,358,278,136,344,172,244,178,39,369,124,110,96,137,87,386,201,345,37,222,197,149,242,203,72,14,55,290,151,128,241,184,219,248,88,195,129,103,47,154,59,187,68,375,75,372,222,397,345,134,334,188,145,316,327,130,227,241,164,263,222,60,309,100,318,33,243,388,188,103,399,164,51,238,33,191,363,254,120,217,106,219,72,273,90,244,352,154,228,380,266,385,273,234,288,30,259,117,45,171,96,379,24,274,60,124,26,241,22,170,139,265,116,211,131,174,34,42,212,228,73,339,85,362,196,243,254,294,54,185,329}

{2,1,2,2,4,2,1,1,2,1,2,1,1,2,2,2,2,1,2,1,1,1,1,2,1,3,1,1,1,1,1,1,3,1,2,24,1,1,1,1,1,4,10,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,15,1,8,2,1,1,4,1,1,1,4,1,1,3,3,2,2,1,1,2,1,5,1,1,1,1,2,2,2,1,1,5,1,1,1,3,2,1,2,1,1,2,4,1,1,1,2,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,2,1,2,2,3,2,4,1,3,1,1,1,3,1,1,1,2,2,1,3,1,1,6,1,2,1,2,1,1,26,2,1,1,2,4,1,2,1,2,2,38,3,3,38,1,1,1,1,1,1,1,5,1,1,2,1,1,1,3,1,4,2,1,1,1,24,3,1,1,1,1,3,1,1,1,7,1,1,2,1,2,1,2,1,2,1,1,5,1}

{102,16,132,2442,720,1170,1440,1376,616,1472,1230,645,4018,608,224,1248,1240,1376,364,15,1634,1272,3445,1312,7426,168,1590,1462,3726,5130,53,5141,525,1085,552,96,3813,2173,2301,260,5015,684,100,108,180,5874,5,8190,2714,1092,265,1978,6825,108,5194,2379,5976,4234,1550,2146,630,6816,180,497,16,2378,574,3906,184,1656,364,57,1600,7719,5280,1326,1683,2112,612,418,490,920,913,25,69,3139,2460,2040,32,1558,2646,2544,1020,1900,861,2475,8455,234,1548,315,156,273,129,700,24,264,5475,1938,902,1908,267,3196,6478,2232,22,258,360,406,988,553,2550,2144,93,1067,5561,816,456,328,870,93,390,104,576,1071,1890,1833,583,255,5494,5166,4248,1248,1860,33,99,2542,5060,630,85,376,902,2484,6675,5035,52,1334,2067,91,340,720,470,3036,608,110,3870,38,180,90,38,741,60,803,2848,230,912,690,680,180,4947,2900,3782,1850,1425,1287,9900,448,282,282,6080,5100,288,2976,996,2380,110,4257,1632,144,1025,2624,490,5694,803,792,696,564,3300,928,1034,480,1312,124,180,2988}

Returns: "Solution does not exist"
228

{81,122,124,39,197,184,184,142,7,86,34,188,32,118,35,6,176,109,14,196,226,27,21,55,161,32,114,40,119,123,24,39,125,201,218,17,112,159,60,103,26,221,157,76,122,72,142,26,7,57,161,14,97,135,139,163,57,121,39,211,8,13,193,67,164,95,144,226,67,112,28,101,22,191,192,182,35,176,209,209,56,3,74,213,129,61,150,85,177,224,165,193,98,118,22,156,177,34,214,13,195,71,8,103,191,55,24,139,125,193,149,53,16,0,146,127,209,146,184,190,18,157,194,220,204,21,92,120,69,20,225,162,175,169,17,38,203,198,87,101,127,114,68,168,208,195,59,32,129,77,115,36,146,61,92,206,174,87,166,122,46,120,132,21,139,141,138,164,28,158,39,30,37,156,108,182,101,120,144,106,105,130,138,221,123,43,118,222,216,62,140,38,179,143,151,47,60,83,31,20,185,157,23,209,12,17,48,181,142,152,209,43,158,157,125,40,224,115,72,180,115,148,106,69,52,219,110,143,68,223,136,190,22,191,152,79,211,208,193,187,192,177,66,150,175,106,44,225,10,157,51,25,206,156,25}

{85,226,116,159,40,25,153,4,13,19,86,59,102,64,61,71,199,13,2,14,202,190,187,2,215,46,25,225,217,226,125,125,87,29,11,205,108,109,42,47,55,145,63,204,47,1,57,171,140,114,159,94,149,223,26,191,173,200,219,169,38,199,167,92,72,194,214,137,10,147,27,15,72,84,166,147,216,119,149,149,25,23,108,32,127,5,69,102,209,148,68,186,94,226,164,73,148,61,8,85,64,110,183,81,132,49,97,134,36,58,179,72,9,106,155,71,173,13,146,155,49,86,5,152,153,157,8,182,128,176,78,15,161,102,34,192,172,219,171,63,107,75,53,40,53,146,58,96,34,169,223,16,4,12,100,140,116,6,44,213,55,45,226,122,226,95,213,128,31,122,152,54,149,36,135,121,183,216,225,121,202,203,131,7,27,124,39,25,178,209,163,217,5,115,226,14,149,94,78,1,165,102,1,129,178,35,35,60,69,162,18,196,197,39,62,123,200,1,186,43,203,192,25,114,151,118,45,79,184,170,99,212,122,143,65,18,143,104,19,52,94,222,139,8,55,87,13,64,21,195,223,70,159,165,42}

{3,3,1,1,1,9,3,1,5,4,2,4,1,1,1,19,1,4,3,3,1,3,1,1,11,1,3,1,1,1,1,1,1,1,1,3,2,4,1,1,1,16,1,1,4,3,1,76,1,2,4,27,1,1,1,2,1,5,1,1,3,5,1,1,2,1,1,3,2,1,1,3,3,10,1,1,1,1,1,1,3,1,14,1,1,1,1,1,4,13,3,1,2,1,1,43,1,1,1,1,1,1,1,1,10,1,1,1,1,5,1,4,1,1,6,1,1,4,3,6,1,2,1,1,4,9,3,1,1,1,1,1,1,5,2,1,5,1,2,1,4,3,1,1,1,3,5,1,1,5,1,1,8,1,1,1,1,5,1,2,1,1,1,3,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,5,2,1,1,3,1,1,3,1,6,11,1,1,27,2,21,1,2,3,1,1,1,1,1,3,2,4,1,1,9,1,1,1,3,3,2,3,1,1,3,1,1,1,3,9,1,1,1,3,2,5,1,6,1,5,10,1,4,1,1,1,2,1,1,1,9,1,1,2,1,1}

{54,792,2624,1836,4850,495,180,3480,100,20,164,240,560,1798,209,285,4015,2400,837,189,9306,480,1980,5673,308,266,1584,3395,3168,8415,2322,1161,1290,15,656,504,2436,1632,390,1892,4636,320,1710,2680,264,252,8178,76,405,2256,748,54,385,3431,6764,320,6486,300,513,390,1824,1100,420,1302,684,170,649,99,1178,3190,735,900,828,20,2627,2255,693,2336,280,280,1584,5187,420,434,28,266,2262,2160,40,156,27,15,2376,6138,2622,86,156,1558,3363,2700,2349,4674,5187,258,70,2989,2970,5340,3440,35,497,900,51,3082,48,228,2760,1200,720,96,2156,36,238,6090,120,198,399,3526,2145,1533,2590,5100,1716,1040,984,3552,1425,1824,1140,3420,72,1104,2700,3104,100,1296,560,525,574,1170,846,1360,240,1520,1239,4050,2132,570,5467,744,2318,5418,6930,792,8811,830,5518,2090,294,1176,1890,612,189,3440,6132,820,3276,5418,385,460,2444,4575,7743,320,255,1856,1674,3168,1449,520,5184,3168,994,252,693,1188,105,162,222,21,210,720,399,280,5520,264,209,240,1131,2380,440,1218,2450,54,559,8245,3900,126,36,1972,450,1443,4554,624,770,1178,5166,420,135,2632,4623,5664,552,420,1190,660,84,98,20,20,1998,32,3204,3306,2379,690,7700,1015,3762,162,1081,5742,1700,258,2574}

Returns: "Solution exists"
102

{14,6,80,62,50,11,27,54,21,55,59,11,70,79,75,0,13,88,31,52,87,67,52,8,98,12,42,6,53,29,91,0,6,94,60,1,3,95,31,30,33,95,100,60,29,1,30,69,22,88,48,37,87,56,91,29,50,25,93,98,89,12,10,41,44,36,64,17,71,64,36,92,65,21,48,87,9,99,47,75,43,30,51,35,85,44,77,24,49,95,37,12,69,86,25,87,3,96,97,95,73,76,77,78,71,6,34,100,6,4,13,30,0,31,65,60,76,37,8,9,41,47,74,6,89,7,65,101,31,40,7,38,29,84,2,21,91,54,19,84,20,2,59,100,9,74,55,73,90,95,95,50,95,94,44,44,5,68,36,49,22,8,96,19,3,77,24,47,46,30,79,90,66,61,70,32,48,50,74,25,41,11,47,101,11,82,6,82,14,64,93,10,26,43,49,41,83,92,88,50,65,74,76,40,59,49,40,4,69,62,85,62,48,48,101,39,22,3,61,98,83,73,99,94,32,98,95,54,92,63,41,52,23,81,68,60,67,84,50,84,49,48,50,65,50,64,2,4,88,67,12,48,23,64,21,1,27,18,91,37,31,63,93,37,10,35,77,76,90,77,49,46,75,46,63,56,25,50,51,79,64,39,53,23,101,69,59,7,101,52,82,2,93,0,88,81,95,64,101,98,18,67,38,22,64,10,22,1,97,73,20,39,99,52,12,43,86,56,14,97,77,57,26,22,26,52,36,94,0,78,51,28,12,80,80,77,100,31,71,54,47,87,29,80,78,74,34,38,92,35,8,10,95,6,72,5,75,26,62,101,0,78,25,31,62,81,73,86,25,88,83,81,48,58,56,4,48,35,74,55,17,51,48,86,5,8,22,51,88,47,99,11,96,101,37,5,24,19,81,63,76,68,9,9,17,13,7,70,82,96,23,52,87,51,67,75,62}

{41,54,70,74,89,80,76,17,31,29,80,100,23,93,22,86,20,86,36,100,65,51,29,27,66,94,9,11,71,24,26,62,47,40,48,87,97,86,34,96,86,0,56,101,22,40,17,74,31,72,71,17,34,48,65,0,88,1,72,95,63,39,40,37,11,17,75,60,23,95,46,52,99,87,30,72,88,24,100,62,49,71,34,96,40,100,86,76,82,77,29,6,82,45,39,29,4,62,53,70,28,33,43,34,96,63,22,90,20,47,11,34,55,98,8,91,47,93,11,2,61,38,66,17,99,48,21,29,95,53,86,95,46,95,7,91,68,67,20,73,46,14,53,28,81,29,20,60,94,28,56,37,45,59,26,100,92,61,92,56,16,24,81,20,96,31,6,101,67,99,51,74,101,100,54,95,95,8,10,75,79,66,41,68,96,17,41,87,80,87,12,73,75,86,0,84,64,70,12,85,20,75,86,80,81,89,42,52,64,84,40,68,55,81,21,31,34,5,79,40,37,86,19,49,63,62,97,31,94,91,87,100,33,19,85,45,57,87,47,73,33,81,28,12,55,97,38,39,65,77,8,92,15,25,83,97,35,3,59,19,39,98,67,48,74,72,65,96,9,20,97,36,74,54,70,26,93,75,71,12,52,48,26,63,61,87,16,101,51,75,1,20,31,85,36,11,41,5,79,66,9,48,62,87,98,45,84,86,24,65,59,38,79,51,67,95,49,5,30,36,8,96,52,92,86,31,18,80,24,63,18,4,40,15,84,55,84,84,79,52,78,54,81,37,89,30,25,16,96,87,40,66,66,100,20,75,58,31,20,80,100,41,89,98,97,57,84,85,23,60,22,55,9,15,76,67,11,93,40,48,101,94,53,39,71,61,35,81,14,13,65,25,26,80,54,92,86,66,75,5,96,78,56,100,86,70,50,43,30,83,65,2,1,9,45,7,38}

{1,1,1,2,1,1,2,1,1,2,1,1,1,2,1,1,1,1,2,1,2,1,1,5,7,1,3,1,1,4,1,1,1,1,2,1,3,8,14,1,2,1,1,4,1,1,1,2,7,1,1,1,14,1,1,1,1,1,1,2,1,1,2,1,1,1,17,9,1,1,1,1,1,1,2,1,3,1,1,1,1,1,14,1,1,1,2,4,3,2,4,1,17,2,1,2,1,9,1,1,5,2,1,2,1,1,21,1,1,4,39,2,1,14,1,1,4,2,1,3,1,2,7,1,1,2,1,4,2,1,2,2,1,3,1,1,1,1,29,1,1,1,1,1,1,10,1,4,49,1,1,1,2,1,2,1,1,2,5,1,1,1,1,29,3,2,1,4,1,5,2,7,7,1,1,4,2,1,2,1,1,1,1,2,3,3,1,1,1,1,2,16,1,1,1,1,1,1,3,1,1,1,4,1,1,3,2,1,17,9,1,2,2,1,1,1,21,1,2,2,2,8,1,1,4,2,3,2,1,23,1,1,1,1,1,2,1,7,1,1,2,1,1,12,1,1,1,1,3,1,5,1,1,1,1,15,1,3,1,1,1,2,1,2,2,1,2,1,1,29,3,1,1,1,1,1,2,1,7,2,1,1,1,1,2,2,1,14,14,1,3,1,14,1,1,1,1,1,2,7,3,1,2,7,1,2,21,1,9,16,1,1,1,1,1,1,2,1,1,5,1,9,1,1,2,1,1,1,1,2,1,1,2,1,1,2,1,7,1,1,2,2,1,1,1,10,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,14,9,1,1,1,1,3,1,1,1,4,1,1,1,1,2,2,7,49,1,1,1,1,1,1,1,1,1,1,1,1,4,1,8,1,1,2,1,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,2}

{4331,2236,133,630,3807,741,1540,3276,434,420,1368,2613,189,602,357,488,1131,408,280,67,4704,8134,20,1330,770,2940,594,1677,259,360,1978,1098,172,1274,36,7350,1305,48,84,1350,376,2928,6097,252,420,1950,3150,1190,42,4539,14,504,588,182,2208,1220,2397,1650,1246,1680,7452,4380,208,568,1092,2520,17,252,189,816,2840,25,5280,3038,50,8722,459,3960,268,306,102,350,588,999,2210,1876,232,792,102,1392,40,2580,102,248,1606,980,1392,54,1665,336,1520,2068,986,84,189,3956,84,3283,1247,16,39,2100,2562,70,9120,828,44,56,3705,135,1278,164,770,2709,4455,98,2976,140,336,962,392,1968,1420,1008,1470,713,46,4316,29,5040,2059,915,2664,6365,1647,140,1218,720,49,4560,4368,376,1488,3528,1204,1876,550,18,200,546,1659,6840,1647,29,783,406,3096,28,5893,550,4214,490,308,1206,364,240,48,4465,560,374,6106,3003,284,28,351,1071,3053,4998,1159,1666,420,80,1462,136,366,4473,1394,175,1020,3995,2784,1190,88,494,4392,162,858,16,34,126,2210,18,42,122,868,1022,84,1914,774,910,328,80,1595,294,460,630,720,364,1225,92,6958,67,2538,1769,170,1116,8217,882,188,5040,282,122,4465,480,1974,765,1230,1168,1632,4814,1140,50,2484,374,2542,225,2590,87,1656,232,1022,3220,1162,8,560,3293,2784,1188,1323,58,90,2840,1190,3692,644,7826,154,799,98,2580,17,146,3182,2484,252,1666,5688,196,196,17,1275,435,14,5185,2040,2379,3408,374,1204,770,27,166,738,294,1190,496,63,600,360,480,2088,5986,4730,98,4980,816,24,2002,3050,360,5510,297,86,525,344,14,120,931,4392,92,294,1520,780,1748,1197,1218,4221,126,602,52,4,2548,1220,152,162,350,924,6478,675,3626,2470,1232,3696,2881,2581,374,204,602,522,532,4087,142,1782,70,90,6039,5040,680,594,612,1722,2562,54,276,4004,1328,78,518,910,42,252,98,74,584,154,1710,777,5978,3111,156,5280,858,2322,532,104,550,72,2233,1037,1012,1188,2,2457,1809,504,273,4606,119,2550,2214,864,15,7350,2646,5146,1666,738}

Returns: "Solution exists"
341

{69,72,220,139,70,262,229,187,146,166,285,91,42,175,215,89,198,210,229,111,198,172,327,157,138,201,204,112,225,256,270,97,81,136,174,243,302,58,263,320,188,318,295,58,333,266,16,114,208,68,169,8,107,81,73,162,289,321,248,298,262,148,39,66}

{266,234,204,100,110,137,221,128,274,101,30,240,159,165,13,276,281,57,86,13,38,41,235,174,188,6,259,340,337,22,279,2,71,328,184,7,7,188,111,27,300,37,177,110,124,270,10,254,60,305,65,175,38,137,24,66,235,331,266,93,57,307,213,233}

{9,1,1,12,1,3,1,1,14,1,3,1,2,1,33,1,1,2,1,1,2,1,1,1,1,1,2,12,1,1,1,1,3,5,1,1,1,1,1,2,2,1,2,1,1,1,2,2,1,1,2,1,1,3,1,2,7,1,1,2,3,2,1,2}

{495,7480,110,180,459,1377,2457,2968,210,1680,1197,1218,210,570,66,456,342,210,4004,3894,306,7030,833,247,190,1748,490,84,1645,1475,3485,2494,1053,570,1881,6090,1653,30,177,20,74,2990,460,255,4200,1845,644,2436,1020,1007,560,8360,3162,1377,5852,1598,98,270,2655,1612,810,3300,7565,4230}

Returns: "Solution exists"
37

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

{12,2,8,4,28,15,32,33,2,7,20,31,10,33,17,15,27,19,4,31,25,14,25,11,31,14,27,18,24,6,27,34,2,15,30,17,5,30,4,29,8,17,17,11,16,6,13,31,16,13,25,19,13,13,30,14,12,32,31,28,34,33,32,6,5,32,8,2,22,9,28,17,32,9,15,27,17,16,25,1,19,13,21,4,2,21,24,20,28,1,30,13,19,11,21,5,30,32,34,13,8}

{1,1,1,1,1,1,2,1,1,1,1,1,1,4,4,1,8,1,3,2,36,1,1,1,1,1,3,34,3,1,1,1,1,1,1,2,1,1,1,3,4,1,1,1,1,1,1,2,8,1,1,1,1,1,1,1,1,1,18,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,8,8,1,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2}

{1908,1015,4628,2244,1692,1320,884,92,1044,684,3807,2862,6141,1564,72,3560,504,385,792,1836,72,1066,2520,2516,2862,1066,1224,68,2208,715,3816,5162,29,1720,1248,1332,3139,429,1551,2784,728,468,2340,3604,3640,5720,33,2484,504,47,792,385,40,34,143,2706,583,2754,216,893,1972,92,3026,5720,1548,1122,52,551,7008,2967,517,2628,1598,759,1480,2088,396,504,360,1739,11,56,1479,1320,1160,4692,6240,5508,3478,1961,1131,34,473,4964,2856,473,104,1598,2146,65,2132}

Returns: "Solution exists"
151

{8,6,127,100,119,115,15,50,10,45,16,148,6,7,125,108,147,89,7,126,70,144,131,0,55,79,143,139,40,91,38}

{1,83,34,9,28,110,74,118,0,51,89,28,101,16,4,38,108,133,89,138,33,115,103,108,26,58,107,98,0,48,103}

{1,1,2,1,13,1,1,1,1,1,1,1,1,2,1,2,2,3,3,1,10,1,1,1,3,1,1,4,1,2,2}

{32,6675,364,5115,78,3115,140,1692,6177,2565,330,3198,3382,420,440,946,924,66,924,368,300,2581,5610,1562,1116,332,3510,120,5822,2610,2838}

Returns: "Solution exists"
464

{16,260,286,243,102,319,102,250,45,303,363,437,456,326,327,240,316,155,284,60,420,217,61,62,446,448,387,256,140,99,89,415,52,72,191,396,81,27,27,299,47,203,419,359,386,395,276,172,80,403,303,59,146,61,310,137,247,456,339,352,225,88,114,445,438,164,306,48,401,422,440,127,190,319,108,244,145,96,74,298,128,66,386,244,293,351,152,55,13,135,245,203,459,428,84,413,181,375,294,0,422,448,255,391,75,265,23,380,438,4,153,413,414,41,215,153,237,337,372,24,224,157,312,49,282,432,96,193,178,113,428,90,289,10,271,209,309,91,274,384,368,376,450,338,105,326,77,106,314,227,217,220,176,187,141,338,207,83,389,24,76,258,370,368,112,371,328,415,316,229,239,14,175,106,227,43,257,139,52,277,300,19,118,100,174,80,226,318,137,261,419,242,419,219,394,209,390,331,411,304,416,85,141,169,68,380,238,167,327,120,317,236,68,99,430,190,89,428,457,150,8,135,139,336,391,299,163,126,304,50,247,69,33,381,173,142,285,205,210,326,266,411,23,270,33,178,366,236,113,47,113,361,12,8,220,113,248,306,414,70,0,249,284,397,128,412,382,366,396,190,256,232,170,374,386,124,67,112,392,414,407,218,299,407,86,264,150,341,391,144,346,265,228,271,74,375,60,82,32,138,0,445,454,142,167,152,446,260,299,429,75,354,233,460,5,416,133,103,137,76,35,374,230,263,383,196,242,118,390,255,99,1,122,300,278,343,354,97,27,360,72,234,167,234,105,309,337,309,201,261,133,199,156,83,21,48,286,360,339,103,300,372,23,244,185,154,95,51,42,2,314,23,330,342,60,437,326,213,110,325,194,51,235,405,435,183,340,277,83,316,349,380,176,368,141,305,109,152,18,19,431,42,202,322,417,145,395,99,305,61,316,272,48,96,330,358,342,402,37,181,60,286,0,99,305,147,180,298,422,404}

{436,351,191,367,289,244,62,410,302,17,349,368,420,77,265,154,258,402,240,212,201,78,406,255,62,390,114,110,204,430,82,460,79,211,115,453,361,114,186,8,1,413,430,364,207,461,316,296,81,186,338,329,442,229,164,368,269,383,346,449,390,256,175,405,98,225,115,169,274,145,202,157,204,260,444,422,234,319,227,236,185,174,304,221,330,398,182,88,293,67,461,258,209,67,192,437,45,409,160,76,203,83,415,392,207,245,101,382,309,132,223,183,72,43,411,174,235,281,253,6,196,257,365,209,236,121,374,26,193,460,185,300,356,456,344,105,91,448,187,4,384,459,383,87,384,147,434,446,29,135,376,106,364,9,41,15,151,129,0,6,445,216,446,299,157,366,117,336,431,53,301,233,267,212,115,446,48,165,5,220,366,118,231,404,108,140,321,171,355,347,62,136,433,191,127,377,391,167,358,14,315,69,412,188,87,415,427,107,280,449,292,393,368,312,106,245,452,456,437,101,351,424,129,32,349,225,60,452,369,242,92,66,32,255,406,173,115,445,440,207,296,39,176,259,226,124,146,108,69,271,406,413,427,214,152,207,354,12,70,190,235,15,405,460,412,403,317,236,303,109,56,56,449,40,360,428,276,387,462,441,270,433,99,419,375,407,451,451,111,322,236,326,53,447,35,444,1,449,144,394,460,175,430,40,242,19,188,371,423,396,446,445,367,428,460,264,308,107,338,174,244,274,206,460,32,209,358,451,94,10,383,230,248,275,71,46,315,440,188,57,249,167,210,454,280,178,258,299,193,176,309,96,17,172,61,113,347,437,108,15,164,124,283,400,229,74,421,171,349,231,345,173,237,388,363,422,250,386,323,92,318,296,317,439,167,1,200,164,278,91,375,387,113,234,163,312,242,19,166,301,343,321,258,398,256,35,440,220,19,220,353,460,11,114,393,181,245,128,303,245,2,308,182,108,55,273,199,271,384,238}

{1,1,2,1,1,53,27,1,1,1,4,1,1,1,1,2,1,1,2,1,1,3,6,1,1,4,1,1,2,1,1,1,1,1,2,1,1,1,5,1,5,7,4,1,7,2,1,2,1,2,1,2,1,27,1,2,1,3,3,6,2,1,7,1,11,1,1,5,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,1,2,1,7,4,1,55,1,1,1,1,1,1,1,1,1,2,1,1,12,2,2,4,1,3,1,2,1,4,2,4,1,1,1,4,1,6,1,1,1,8,1,1,2,4,1,1,4,3,1,1,2,2,2,3,3,2,1,1,1,1,1,1,1,5,1,1,3,1,1,3,1,1,2,2,1,1,1,1,1,59,3,2,1,1,1,1,4,5,7,1,2,1,1,1,2,1,3,4,1,2,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,2,1,1,3,19,2,14,1,1,1,1,1,1,1,1,2,1,1,5,1,1,1,1,1,1,1,1,1,2,1,4,1,1,1,5,1,1,3,1,1,1,3,1,5,3,1,3,8,1,3,1,7,1,1,1,2,2,1,2,2,2,3,1,32,1,5,3,1,1,1,1,1,1,30,3,5,1,4,1,1,8,1,1,1,6,1,1,20,1,1,1,2,1,1,1,1,1,1,1,3,4,26,1,39,2,1,2,1,1,1,2,1,1,1,1,1,1,1,3,1,4,1,6,1,1,1,2,2,1,6,1,1,1,1,1,1,1,1,2,12,2,1,1,1,2,4,4,1,1,9,1,1,3,1,1,1,2,1,1,2,2,1,2,1,9,2,1,2,1,1,1,1,1,1,1,1,2,2,1,1,3,1,1,1,1,1,3,1,1,4,4,3,1,1,1,2,2,5,1,1,1,1,1,2,1,2,5,4,1,2,1,1,1,1,3,2,3,1,4,1,1,1,1,2}

{600,3198,28,1518,1404,53,81,5340,5655,3976,440,5530,4806,1035,3577,760,2478,5229,1320,2784,267,210,270,324,1620,408,2212,4183,336,2728,1802,7138,5016,1881,504,1716,2225,140,70,5312,40,455,1496,2835,210,400,5015,1700,2475,910,6603,672,3038,162,5427,70,5428,702,1950,216,744,2848,252,3904,22,4154,6552,585,7030,6270,1958,3354,224,4134,2301,5035,6402,3604,630,1746,7790,4503,2905,4505,1539,2255,45,544,6966,3956,1150,546,1672,4876,55,2765,6438,442,8300,96,8645,6052,332,75,1554,1127,680,180,132,60,184,2835,990,600,66,632,704,216,220,6150,110,2150,220,988,144,5664,6596,1696,288,2322,5035,518,780,1674,260,380,396,6732,1520,660,770,616,273,3069,220,989,4095,1140,4554,602,210,2622,525,186,3975,1302,3486,6942,66,6150,1952,672,460,5810,2924,3900,4590,4897,59,2511,1598,5214,5607,1824,504,40,450,385,1320,2162,5550,4293,3869,1862,3081,1584,1700,1081,8,833,5508,4004,340,1246,4290,2204,600,925,176,6557,61,2604,4028,3120,1386,4980,1632,740,2482,408,190,576,70,1364,5016,736,4664,2862,6478,680,2624,3612,2730,4425,100,5146,2958,3256,498,1892,236,1596,5475,284,690,4094,1368,976,8811,966,150,418,600,3,7300,6840,2325,234,756,20,270,3115,672,192,138,378,180,273,1830,1952,132,798,2112,5246,3116,988,684,450,2769,64,6230,70,696,4365,1120,5035,7820,5372,138,90,24,5,2573,408,1530,1320,48,3504,175,680,234,1127,6324,100,8190,1003,3480,408,600,440,258,3843,7128,4005,1628,81,240,156,1328,39,740,305,1518,4558,1290,55,138,220,976,2528,4823,9215,2046,1978,975,836,176,2544,120,124,1209,1240,1548,3034,3480,990,305,8099,240,1696,3762,3589,3663,7857,340,72,168,996,96,3675,276,748,840,6052,4266,135,68,2528,975,462,4958,4180,216,1749,7695,1710,2668,1081,820,1971,594,184,1216,152,7656,7505,2047,2485,4324,12,2185,1150,836,1728,3700,3240,96,6298,3560,5841,340,4740,675,6790,1802,44,704,81,78,2754,5310,2788,462,935,6408,6006,1424,1426,324,1242,1062,774,90,476,1216,592,184,6806,2698,1702,783,12,45,1209,68,1462,2684,1940,2090,646}

Returns: "Solution does not exist"
138

{99,27,137,99,35,35,114,79,63,66,103,52,130,65,82,122,59,87,89,132,22,68,7,30,68,75,112,23,45,46,30,26,120,43,83,126,0,15,21,123,123,119,136,128,42,62,56,106,22,78,137,27,56,60,129,137,100,15,25,91,55,30,90,80,57,11,85,74,19,97,80,68,26,0,22,50,131,12,87,79,95,116,75,118,104,61,36,136,38,134,42,109,41,118,105,2,20,39,17,13,53,13,90,26,77,38,117,95,125,71,28,85,102,95,51,127,24,131,131,126,21,92,15,65,83,11,57,26,3,84,2,127,102,13,27,72,64,20,111,89,94,54,65,41,12,10,89,11,20,16,25,18,90,91,115,51,76,16,104}

{16,93,4,10,115,86,39,3,30,100,10,21,61,109,21,45,119,9,97,56,127,110,112,107,78,16,40,26,4,131,31,93,6,72,45,45,94,42,69,70,93,111,113,131,43,83,76,56,19,60,6,17,78,62,30,129,81,122,99,63,132,22,14,92,42,101,104,135,45,131,86,74,57,64,104,57,91,106,28,102,81,16,71,3,73,84,19,117,103,66,62,80,14,77,57,71,23,111,123,102,82,122,60,91,36,121,95,70,14,88,83,16,26,59,8,90,76,58,72,124,32,137,16,46,47,73,124,114,7,131,21,86,68,85,113,101,124,68,23,62,43,9,116,85,128,54,62,3,76,118,125,53,12,17,22,41,112,85,93}

{3,2,4,2,9,21,1,9,4,1,2,7,1,2,2,1,1,2,1,1,1,1,1,2,1,1,1,1,4,1,8,1,6,2,1,1,1,2,2,2,2,1,5,1,2,1,1,1,1,2,2,1,1,2,8,8,8,1,3,1,1,1,1,1,6,1,1,1,4,1,7,73,1,2,1,1,1,1,1,1,6,1,4,3,43,1,1,5,1,1,2,5,1,1,1,5,1,1,1,1,1,9,1,1,1,1,2,6,1,1,1,1,1,2,4,1,1,1,1,1,2,1,1,4,1,2,2,1,8,1,1,6,1,2,25,1,2,1,1,2,1,1,2,2,2,1,2,2,1,3,1,1,1,1,1,4,17,1,1}

{186,1600,400,276,567,126,498,648,120,560,1196,14,598,460,602,324,5368,164,714,4929,5238,7300,1360,456,6278,372,6545,1798,100,688,168,1984,1248,2170,92,300,2394,66,630,48,64,5429,825,2838,186,2162,3162,2139,3492,3440,624,1850,7998,3760,264,176,240,1782,78,1260,2703,2328,2173,1365,96,3366,430,5256,36,731,210,73,2976,608,4171,3552,2709,874,348,6237,312,5394,60,504,86,130,3060,880,1586,553,282,70,1148,21,2400,300,2726,534,74,1386,1462,162,4240,1953,85,3660,3120,624,2624,1020,2001,930,2387,3432,360,2862,850,129,3010,2550,434,624,2046,368,2277,1462,1632,2573,144,215,350,378,5621,90,150,6930,544,3431,5162,1974,3906,5002,2668,140,1254,5612,1974,1224,1598,651,2496,629,2014,2331,7857,504,170,930,2752}

Returns: "Solution exists"
101

{2,20,57,46,17,1,2,87,17,63,60,97,15,46,77,94,11,65,73,63,46,95,85,91,66,22,99,88,32,99,79,92,47,87,62,36,66,52,25,94,39,56,17,83,14,64,83,54,8,51,39,58,23,67,8,8,49,64,56,100,39,60,91,46,64,3,12,46,43,23,27,34,80,23,76,90,69,26,11,4,53,58,21,66,53,87,47,89,81,52,64,30,21,53,44,25,84,32,9,95,74,2,57,33,61,1,79,2,83,99,47,4}

{5,96,10,5,33,24,4,21,89,9,19,0,42,7,15,70,61,26,76,90,25,29,14,61,42,66,23,78,36,66,50,75,91,76,15,61,42,89,83,5,60,44,92,29,50,89,21,97,6,84,32,75,4,36,88,13,83,43,59,51,1,47,60,9,10,37,66,68,27,27,53,91,31,25,2,65,87,49,8,73,11,13,91,2,100,90,44,46,89,65,15,14,5,31,25,67,39,18,72,50,65,85,66,35,91,17,15,27,39,49,82,13}

{4,2,2,1,1,1,12,52,4,1,1,1,2,1,4,1,1,1,1,1,1,1,4,3,2,2,1,2,1,1,1,3,2,1,4,1,2,1,1,1,1,2,4,1,7,4,1,2,1,10,14,3,4,1,1,1,1,1,1,7,1,1,1,1,2,3,2,1,1,1,1,2,1,1,1,1,4,1,1,20,1,2,2,2,1,4,2,1,1,1,4,2,4,1,1,3,2,1,1,1,9,4,2,1,3,1,1,1,1,1,1,2}

{12,1222,62,4,2812,4331,60,52,532,2479,2146,1118,3956,49,2208,2350,5115,6633,1100,148,39,5133,1344,2790,1462,884,236,1610,3416,2006,469,1368,1980,572,1840,5673,1462,1652,663,188,406,690,1368,1003,84,504,884,4214,552,70,56,1026,60,3660,1610,506,221,3528,930,770,994,1276,2610,67,2232,30,1224,88,245,20,415,2340,185,156,132,396,728,871,1265,300,4565,594,2340,204,6391,52,1012,28,1204,5841,1656,924,52,3071,1794,780,70,1624,2077,609,99,192,34,703,2790,5396,6164,60,238,767,2772,660}

Returns: "Solution exists"
146

{101,84,32,68,144,115,126,91,98,6,6,54,56,15,3,57,68,138,79,97,18,2,63,133,106,116,139,22,47,13,81,132,21,19,0,35,23,92,77,73,110,131,15,115,109,20,137,89,44,30,107,51,39,32,105,131,62,99,23,5,72,79,8,5,21,46,9,96,69,16,65,115,134,110,113,134,64,33,110,53,120,1,104,116,79,55,59,88,70,138,27,17,15,40,25,6,35,133,101,33,27,119,88,73,79,34,26,83,13,96,42,6,35,120,128,10,127,45,2,21,73,115,38,126,71,121,56,107,45,121,141,38,128,18,113,106,52,74,32,63,2,96,85,84,81,94,77,103,55,8,144,122,29,69,122,13,5,11,43,42,87,105,42,122,52,26,136,68,43,10,86,108,124,28,132,100,17,118,9,50,145,111,61,99,110,44,121,101,75,143,140,76,126,24,106,19,14,115,125,55,78,114,91,29,67,133,124,142,115,131,33,120,60,66,92,81,64,81}

{60,60,136,40,35,54,124,48,131,130,145,98,83,132,41,28,58,117,100,18,65,116,77,136,64,76,145,30,34,135,61,126,87,103,125,86,4,124,136,9,70,54,120,124,111,53,5,36,74,34,134,30,130,27,47,128,116,45,67,21,35,16,117,105,91,40,51,28,42,116,31,61,59,98,66,125,15,140,58,17,136,9,29,49,123,105,3,142,99,123,33,131,68,7,76,27,9,61,142,13,40,111,24,75,77,123,55,107,116,62,130,81,66,121,94,7,98,110,113,84,115,106,70,76,114,3,34,98,114,115,125,135,114,46,26,55,15,66,85,94,116,102,123,76,138,23,23,82,41,59,76,102,110,111,25,138,20,93,134,116,113,35,81,4,138,65,105,84,125,143,64,75,45,74,51,44,111,103,108,61,134,48,123,21,42,96,134,98,140,43,50,143,9,144,45,90,19,106,73,18,25,100,119,26,109,134,104,127,30,15,62,138,108,31,98,70,63,80}

{1,1,1,3,1,1,1,1,1,2,11,9,1,2,2,2,1,1,1,4,1,1,2,1,1,3,11,1,1,1,4,1,1,1,9,8,1,1,1,1,1,1,4,1,2,2,4,1,3,1,1,1,1,6,5,1,9,1,1,1,1,1,1,4,1,3,1,2,1,9,9,14,1,1,4,1,1,1,1,1,1,1,1,1,1,4,2,1,3,4,7,1,1,2,10,2,1,4,1,1,6,6,1,10,1,1,2,1,1,1,1,4,4,1,1,1,3,1,2,1,2,1,3,5,1,1,1,3,1,1,5,3,2,1,22,1,1,4,4,1,1,2,8,1,4,1,1,4,2,1,3,2,1,2,2,1,2,1,1,3,8,4,1,2,9,3,1,1,1,1,1,2,1,6,1,1,1,8,1,4,1,2,4,1,1,1,1,1,2,1,2,3,1,3,5,1,3,1,5,8,1,4,1,1,1,1,1,1,1,1,1,12,2,2,1,1,1,1}

{230,1978,3492,162,168,630,665,7298,837,748,44,135,3723,1496,2886,48,2997,2628,8188,8,72,9702,1248,6596,245,990,44,1971,1235,3294,1932,1190,1040,1848,360,560,1704,1862,3104,10,2772,1395,264,266,1674,780,308,1494,1428,949,1617,2993,918,252,1140,2666,297,5655,3621,1820,3080,5607,1825,420,5785,138,41,6,744,693,18,84,4704,756,440,2205,4312,7462,1036,2940,1164,64,4814,495,2848,480,3552,752,2871,288,546,1519,7128,78,60,924,56,1428,80,5551,42,216,3243,60,2848,416,1056,2409,6039,54,3162,1012,280,1164,5074,910,783,1820,4312,2795,70,70,2277,210,2016,7178,663,297,2080,1358,495,1242,1376,552,264,160,3960,420,504,4602,9702,10,224,1290,828,4189,2272,1288,1248,2400,30,470,2324,216,940,2196,364,999,2009,3069,176,840,8556,1128,180,198,5820,3483,1845,3465,3920,2460,1235,84,1394,4692,2646,672,82,840,539,2214,672,5655,2604,102,4753,135,2460,4059,1640,990,35,69,65,1155,858,70,90,32,1980,736,2136,5478,3162,3332,1102,1392,1022,2728,2457,36,1886,180,2646,9108,3822,1380}

Returns: "Solution exists"
482

{293,330,52,378,428,148,385,306,131,166,12,155,334,148,466,303,481,303,306,274,35,211,234,223,285,425,125,256,118,4,213,455,170,13,152,199,94,80,133,131,283,3,420,38,88,160,134,304,52,198,73,305,95,390,89,313,344,397,474,401,249,96,274,422,360,228,156,324,59,425,203,163,259,287,383,396,162,290,289,464,453,17,56,58,78,447,152,89,384,323,320,81,434,354,347,152,218,7,454,328,283,338,141,83,137,274,43,69,264,408,213,230,82,228,161,86,412,3,450,203,471,437,301,62,387,172,200,55,60,298,460,262,237,410,446,67,466,202,9,315,123,381,186,3,217,356,291,422,96,134,40,340,221,480,60,162,317,379,111,53,206,126,75,174,369,261,173,280,375,301,437,457,417,69,450,201,220,369,327,156,55,470,386,186,183}

{351,194,279,50,305,90,96,160,180,177,204,257,232,135,209,278,146,52,60,62,223,209,387,195,363,109,170,244,243,176,375,45,233,303,217,354,137,133,313,286,103,478,386,361,330,215,31,474,53,145,214,458,153,330,251,29,172,145,234,298,10,403,422,351,291,27,313,213,185,134,403,292,224,192,358,28,91,206,229,215,12,231,88,234,462,130,322,330,185,87,240,316,221,374,336,426,31,359,391,463,71,245,315,159,299,78,176,306,359,17,14,202,24,336,461,194,327,227,64,115,158,215,246,398,282,476,292,12,431,374,283,459,423,136,474,339,108,398,387,336,62,40,72,166,87,24,190,188,341,312,383,323,331,321,326,155,83,153,8,286,51,108,288,64,385,450,346,332,364,475,97,201,45,185,90,317,219,286,61,84,162,53,262,444,4}

{1,1,4,1,1,8,2,1,1,1,1,3,1,1,1,1,1,1,1,1,5,1,1,1,1,2,1,2,1,1,1,1,1,1,5,2,1,1,1,1,1,5,1,1,1,2,2,4,3,1,1,1,5,1,1,1,1,1,1,1,6,4,1,2,1,1,1,1,13,2,2,1,1,1,1,1,1,1,1,1,1,1,3,1,2,5,1,1,3,1,1,1,2,2,1,1,6,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,4,1,1,1,2,1,2,1,1,1,3,1,2,1,1,1,3,1,21,1,4,1,16,2,2,1,1,1,1,1,2,1,9,1,1,2,3,1,1,4,1,4,2,1,1,1,6,9,1,1,1,2,2,2,1,1,1,3,1,3,1,3,4,2,1,2,1,1,1,27,1,6,1}

{1534,1782,1824,100,84,576,1032,2480,924,4004,3332,1860,690,6120,2990,47,551,4512,186,77,15,1170,2832,75,5170,1520,2120,2068,1455,5035,299,851,742,1128,855,490,1602,4982,3657,2772,2709,400,2592,4779,1914,720,702,368,864,2583,912,264,75,1518,244,3588,4095,2501,944,1026,936,168,814,962,6,106,2967,437,78,1040,700,1190,2610,5698,1173,3478,1653,5005,305,1314,1127,1425,696,3422,3936,1710,7790,1342,702,108,570,1876,220,360,6083,2945,540,1584,3995,4891,2583,504,2145,711,90,1056,4845,465,1584,1475,161,874,1088,4187,1950,3969,3784,275,4324,1050,3927,1422,138,133,1680,4095,221,4165,78,1368,252,6555,1840,304,32,2442,874,874,2064,5135,546,3136,3552,2275,135,5696,29,3626,168,2158,1127,16,110,700,96,1140,5056,1425,108,108,1105,1330,1386,3196,4214,2852,4902,3320,1248,30,7268,150,814,390,1472,192,4641,1764,2200,1118,1615,54,3040,288,848}

Returns: "Solution does not exist"
433

{29,75,130,410,157,412,117,155,18,324,165,54,120,79,287,287,280,392,284,312,226,142,178,60,388,418,265,71,150,62,218,35,175,372,430,201,353,188,187,179,351,414,138,148,267,211,432,65,270,347,416,131,217,359,184,230,271,420,413,75,35,40,228,349,295,350,340,219,117,167,322,159,97,254,87,15,331,356,165,362,147,408,416,73,362,124,125,399,110,304,142,333,47,380,325,66,189,121,369,244,302,313,237}

{422,160,50,48,296,413,122,296,230,422,362,142,182,241,345,419,31,304,75,172,428,166,257,58,103,379,97,54,140,314,407,43,104,423,390,111,105,54,94,373,213,378,86,200,30,13,387,345,92,75,89,398,109,333,344,284,322,345,147,138,289,48,325,201,208,270,431,200,103,270,237,374,232,353,72,99,392,115,385,308,289,306,323,366,389,155,2,14,244,71,205,235,17,373,278,141,68,213,251,227,11,5,134}

{2,1,1,1,1,3,1,1,1,2,1,22,1,1,2,1,1,1,1,1,1,2,1,1,7,1,1,1,2,4,1,2,1,1,1,4,1,2,5,1,2,2,7,1,1,1,4,10,1,1,1,5,1,9,1,1,1,2,2,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,87,13,1,14,21,1,2,2,1,1,4,1,1,1,1,20,1,1,2,2,1,4,1,1,1}

{2310,590,3717,474,33,270,6390,2442,684,924,2262,88,5893,1517,850,2958,8134,5100,295,801,120,374,3960,2968,1078,1386,2646,2376,4100,960,720,702,910,68,1350,736,2739,88,5,4900,616,1334,385,1464,4002,2604,884,150,1615,59,2961,880,1292,27,2812,45,5494,1800,390,4543,234,7189,98,608,73,1394,4212,976,6958,1581,4674,513,1568,7387,612,979,1326,1311,87,78,234,42,252,23,26,518,520,5655,1700,2700,506,351,3234,300,2989,1012,1426,682,3381,1224,9120,3007,2451}

Returns: "Solution exists"
380

{146,20,223,239,6,211,148,327,70,202,100,135,238,304,203,333,193,222,48,233,146,313,351,96,191,81,316,337,24,87,143,335,100,161,182,125,301,376,238,32,367,69,102,245,273,245,178,216,284,327,357,86,81,47,68,240,143,21,341,134,87,6,68,81,175,207,357,233,364,327,64,151,300,278,8,280,12,249,297,5,294,175,311,213,221,251,300,310,16,287,93,349,191,59,350,241,178,244,193,115,223,297,51,297,265,157,143,90,131,83,141,76,333,265,148,291,16,25,341,43,125,332,110,194,374,314,108,87,49,18,53,40,99,357,258,37,118,131,202,63,327,27,357,2,201,353,154,331,308,150,286,358,275,322,299,65,342,35,114,76,269,260,345,231,107,270,261,123,255,374,41,45,223,229,233,273,4,355,101,9,372,105,99,320,108,355,348,315,46,51,336,327}

{278,120,325,294,181,283,199,232,321,254,15,188,354,113,156,0,219,173,172,158,74,270,371,36,75,243,220,297,373,289,90,22,287,365,17,57,269,49,338,329,29,239,146,69,246,34,179,129,88,250,114,328,302,141,291,136,242,329,72,116,125,151,99,17,224,159,360,18,64,317,179,56,195,233,184,318,313,52,246,51,368,253,114,335,213,97,263,278,17,356,360,348,183,97,99,66,372,126,130,176,327,125,293,284,217,352,209,138,224,307,328,334,152,257,214,12,195,150,217,24,146,272,147,318,253,305,99,364,212,174,251,107,49,371,61,145,207,377,53,290,361,135,61,71,359,2,321,285,212,269,43,240,19,273,236,153,259,322,34,215,318,168,84,367,254,183,345,336,143,335,89,180,14,261,353,4,81,60,183,316,185,85,229,225,91,15,278,317,167,32,176,223}

{3,1,1,1,1,55,1,1,1,2,1,1,5,1,2,1,2,1,1,1,1,1,2,1,3,1,1,1,2,2,2,1,1,4,2,1,1,1,1,1,12,1,3,1,1,1,1,4,2,1,1,1,89,1,7,1,2,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,2,1,1,3,2,1,1,1,1,1,1,1,2,1,1,2,2,3,3,4,4,2,31,1,1,1,3,1,33,2,1,8,2,1,1,1,1,1,28,1,1,3,1,1,1,3,1,1,4,1,1,4,1,1,1,2,1,1,1,1,15,3,1,2,3,1,1,1,1,1,1,1,1,1,1,1,2,5,1,1,1,1,1,1,4,1,3,1,2,1,5,4,1,80,1,1,1,2,12,1,1,1,2,1,1,1,1,4,5,4,1,4,4,1,1,1,1}

{828,50,1914,760,3330,55,4268,6111,138,420,3569,1247,880,854,680,1474,3690,2100,111,935,3588,295,2340,1278,60,2403,2960,561,1886,2664,1520,869,2193,260,1148,5673,488,551,1360,5727,48,4370,1863,4370,3330,6365,1530,1104,264,1008,2075,913,89,793,35,174,720,1932,182,6391,6882,2880,308,7298,4370,2730,7636,165,432,3276,272,2368,360,1980,1113,1300,4071,5369,990,4704,168,4278,1300,2449,1457,4800,885,396,4674,1428,4324,1260,90,2400,396,720,2610,93,5494,2640,3654,1023,3936,66,504,7636,240,874,5130,4524,5063,2924,1870,56,4850,2415,1368,2788,126,1558,2139,4539,4779,156,6324,3149,1056,1998,783,78,2368,4824,1276,4316,1785,45,1053,2646,1554,105,2961,3526,4233,5360,4272,7280,2622,39,2565,2501,1881,1798,385,296,4731,48,1700,8,1675,476,3172,1026,220,2256,1340,90,180,2580,80,5372,1188,1794,2262,288,5005,2294,5518,266,1170,777,2726,187,1056,65,1248,3154,252,624,660,7968,2365,3654}

Returns: "Solution exists"
297

{48,222,88,176,22,5,132,279,248,120,19,76,101,6,21,191,205,61,272,210,21,80,38,164,23,122,19,269,241,15,25,207,238,196,48,30,207,201,2,209,222,77,275,136,27,34,150,227,47,147,125,201,257,282,6,72,81,268,10,184,107,97,133,294,181,167,226,82,5,75,133,87,277,219,46,112,196,167,213,44,160,241,87,9,38,58,86,273,64,81,219,296,69,48,243,181,58,95,144,100,13,148,67,45,137,142,81,107,252,70,284,210,7,79,52,268,37,200,290,184,166,29,280}

{45,6,263,4,254,212,149,41,265,201,248,294,170,205,290,231,107,5,281,201,75,226,272,244,146,53,118,179,271,89,12,78,57,43,219,27,236,178,195,85,141,164,89,215,239,199,30,220,276,238,11,43,194,200,59,74,146,157,83,47,288,221,218,202,275,213,62,163,126,23,72,78,278,246,291,58,157,230,233,111,85,277,153,54,126,169,222,105,281,146,185,83,200,200,191,178,153,145,135,117,16,64,166,212,116,163,293,6,100,6,184,185,253,221,230,209,33,126,131,204,65,107,231}

{1,11,1,2,1,4,1,1,1,1,1,2,1,1,77,1,3,1,1,1,1,2,1,14,1,2,1,2,3,1,1,1,1,6,4,20,5,1,1,1,1,14,3,5,2,2,1,1,1,1,1,1,2,1,5,2,1,2,2,1,3,3,6,2,3,1,2,1,1,1,2,1,4,2,1,3,2,1,1,1,1,1,2,1,3,1,2,1,1,1,5,2,1,1,4,1,2,1,1,1,1,7,1,1,1,1,1,5,1,1,1,1,1,1,3,3,2,1,1,1,3,1,1}

{1748,220,8051,1548,1071,220,1650,290,1218,725,174,2146,5162,5115,77,1860,930,180,5183,200,1771,24,1314,196,5964,1564,273,2220,273,7227,1079,5360,187,1440,460,100,1520,2225,4770,801,836,588,1584,15,780,594,4900,8148,2272,1275,21,2400,2788,445,275,1218,2100,3444,1836,781,510,126,60,1160,336,215,90,210,780,1633,174,2546,96,20,2015,42,3690,105,3440,1596,3827,84,836,520,234,534,132,7410,1988,2100,180,864,3649,8188,420,1869,132,91,2639,6435,8170,84,1188,836,2923,265,825,330,3366,5390,979,360,864,438,336,252,560,3471,6006,1001,675,1830,8277}

Returns: "Solution exists"
270

{105,128,185,245,153,86,41,98,160,47,217,199,56,34,264,18,266,43,20,239,130,122,261,66,199,95,195,47,5,223,192,137,251,209,131,81,90,26,257,126,92,166,38,169,30,87,1,194,24,213,186,25,119,210,257,249,164,218,237,249,222,249,166,192,0,65,246,240,137,60,122,128,10,196,132,137,158,2,52,134,215,142,3,224,70,47,84,118,131,32,121,203,148,73,224,269,112,74,79,196,144,154,56,151,65,24,116,216,89,106,44,155,16,235,66,269,20,240,151,24,128,256,129,53,197,115,39,70,66,251,155,48,50,117,201,68,93,40,214,223,165,67,4,136,15,89,235,19,85,40,124,151,51,12,177,21,139,266,126,0,224,159,90,92,57,90,128,179,5,5,67,131,93,203,50,27,199,37,191,211,190,234,186,29,266,235,65,92,76,72,184,243,260,256,86,146,67,83,159,48,62,199,165,155,12,252,36,13,65,157,215,90,247,223,86,169,42,94,100,36,116,183,253,155,1,157,119,163,132,146,261,151,137,110,101,137,205,125,139,87,61,44,205,169,251,148,152,31,55,55,40,227,93,135,60,66,158,116,178,11,145,44,218,262,163,99,239,150,229,259,100,228,6,215,240,113,64,209,164,195,258,127,195,120,222,189,250,147,200,4,65,185,255,170,72,19,110,94,99,35,218,24,21,134,249,190,21,262,125,180}

{114,258,252,98,11,180,93,14,171,22,89,171,89,256,217,42,72,148,262,110,168,14,77,49,60,23,78,80,27,118,226,248,43,233,147,255,47,89,120,244,90,188,211,191,236,34,242,141,203,246,130,256,144,187,264,139,94,221,264,195,72,113,239,121,40,230,177,138,173,35,44,184,25,221,105,167,140,28,3,244,100,118,151,64,187,14,173,228,265,200,40,195,186,95,248,179,132,89,206,241,158,126,177,265,66,85,245,50,194,54,19,67,127,66,246,69,219,196,221,111,101,140,15,19,222,95,205,252,176,160,42,215,76,19,36,260,224,23,66,99,76,29,23,42,245,195,211,231,96,96,137,8,131,262,183,42,87,194,236,244,136,260,236,173,254,54,144,203,234,214,38,38,132,254,81,261,126,180,68,86,142,39,54,4,132,200,137,94,103,160,118,132,25,168,149,230,100,177,183,255,267,229,48,85,76,164,223,35,175,27,234,1,235,132,160,197,213,68,251,102,90,34,219,165,188,105,197,84,147,93,77,269,19,130,18,154,119,251,149,48,134,91,209,108,89,176,101,141,236,267,73,48,177,202,83,137,116,148,144,204,104,161,30,64,80,140,203,148,114,183,112,190,4,25,49,85,244,56,177,136,174,29,48,123,114,252,32,105,72,43,212,17,61,262,66,32,246,221,254,226,99,154,179,164,164,109,139,236,48,210}

{1,1,3,7,1,1,7,2,1,5,1,1,1,10,1,1,5,1,3,2,2,4,2,2,1,1,1,3,1,2,2,1,1,1,1,1,1,4,1,2,1,1,1,2,1,2,1,1,1,2,1,3,1,1,1,12,1,1,1,2,5,6,1,2,4,2,1,1,1,2,1,1,1,1,8,1,1,4,1,1,4,1,1,2,2,12,1,2,1,1,4,1,1,1,1,1,3,2,1,3,2,28,1,1,2,1,7,1,2,1,1,1,1,1,4,1,1,1,1,1,1,3,4,1,2,1,1,2,3,1,1,1,7,2,24,1,1,9,1,2,1,4,1,1,7,2,1,1,1,3,1,1,1,1,13,1,6,6,7,2,2,9,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,6,1,7,1,1,1,1,4,3,6,16,12,4,1,1,1,1,1,1,1,1,4,2,2,2,26,1,1,1,2,1,2,1,1,5,2,1,4,1,1,1,2,17,1,2,1,2,1,1,4,1,7,1,1,4,1,1,1,1,1,1,1,1,1,1,1,9,1,7,1,1,1,1,1,2,1,3,11,1,1,1,3,1,4,1,13,1,2,1,3,1,1,2,3,1,2,3,1,1,1,1,6,1,2,1,1,1,3,1,1,1,3,4,1,4,2,1,1,1,1,4,2,1,7,1,3}

{2280,8277,24,70,2964,1008,294,252,1106,300,372,266,36,360,93,83,90,2848,63,220,264,900,192,312,76,72,1848,1860,2054,1798,1054,329,3115,1470,2870,495,5340,60,1053,1634,2759,1287,1353,4128,3626,1560,196,2706,1189,148,776,1170,8330,4080,81,288,6052,1180,36,1824,20,1440,286,340,612,420,364,1407,273,28,1100,2581,1560,1740,120,77,7134,96,38,462,2100,4402,3,2146,1360,180,2652,2604,2170,54,180,1102,3104,360,3478,924,312,28,576,435,4018,168,819,186,168,3403,455,2814,132,3245,660,228,517,1704,24,440,39,5829,60,205,7209,2610,840,660,340,648,4823,408,552,2765,1577,4956,210,1740,144,1206,3626,36,600,2436,3290,12,126,2158,420,76,2343,2460,6225,900,378,57,2065,1449,364,2075,468,990,392,2244,962,198,4361,1209,664,5251,8722,2436,3397,1975,492,1435,1176,232,2310,78,1064,1386,6432,528,1846,3913,5723,28,360,142,14,2759,3255,395,1798,120,234,990,64,120,300,2093,5148,531,1960,1235,5546,1577,805,408,1392,672,280,26,3612,4361,6177,696,1264,1462,6142,5963,700,336,8099,520,494,1786,4851,520,170,1292,984,1176,192,33,420,40,81,84,4505,2835,576,4602,574,220,1590,2666,140,2208,2754,861,1274,1274,180,4425,637,870,92,168,7462,2912,882,2262,1488,66,4366,3654,1767,2436,638,96,3705,260,3900,1092,350,1092,1742,7470,1914,90,6188,494,2511,44,2242,1209,1140,24,2241,1640,10,1246,658,27,738,5544,120,540,20,1780,168,434,4956,3444,2100,476,1632,1092,900,441,4779,1071}

Returns: "Solution does not exist"
170

{60,91,149,81,123,61,38,63,21,59,22,109,57,141,137,151,95,22,163,4,69,168,21,32,148,129,129,160,46,94,130,103,106,144,45,111,135,9,98,39,93,57,155,79,27,20,92,165,151,99,31,10,3,103,145,73,3,121,76,144,48,159,3,125,127,79,93,9,87,159,116,146,119,88,113,141,124,29,0,44,23,147,63,54,4,10,77,74,53,106,89,131,152,79,49,137,154,97,24,143,45,41,79,65,153,158,28,122,80,57,73,96,34,5,118,138,53,8,58,84,160,36,16,35,12,162,151,131,59,48,87,16,119,52,146,133,61,150,90,28,109,100,130,56,33,11,166,152,116,107,70}

{19,43,20,151,90,6,35,67,20,153,59,48,48,79,105,82,106,109,145,0,122,131,144,138,122,95,107,72,54,78,97,120,131,90,19,105,95,121,144,42,103,32,108,83,148,53,151,87,0,28,26,16,103,112,89,136,149,7,78,47,46,77,24,57,11,57,156,32,168,117,72,125,122,75,29,40,120,17,142,43,56,18,101,93,30,68,10,163,27,159,7,162,31,83,84,124,53,52,164,124,70,107,3,92,66,138,76,92,20,167,159,6,137,150,23,90,148,13,19,12,70,115,144,39,46,47,103,148,123,67,156,137,76,46,103,132,25,92,34,129,87,124,115,115,36,144,7,150,55,12,82}

{7,1,1,1,2,1,4,1,1,1,7,11,1,1,1,1,1,1,1,1,1,1,6,1,4,1,1,2,9,1,2,3,1,8,1,3,1,1,12,6,1,1,2,1,3,1,1,1,1,1,1,3,2,20,7,2,2,1,1,3,11,4,1,1,1,1,1,1,1,1,1,1,4,1,1,2,3,1,2,1,4,1,1,1,1,1,1,3,1,1,12,1,1,1,1,1,1,1,1,1,64,3,1,1,1,1,1,1,1,1,2,1,1,31,5,1,1,1,1,1,2,1,48,12,3,1,1,1,6,1,1,1,1,11,1,1,3,3,2,1,1,5,2,4,3,96,1,1,3,6,1}

{63,4158,38,2419,24,1173,456,3895,30,462,42,22,1606,1102,3081,531,7663,77,3927,546,992,928,480,374,288,8245,1530,392,792,3960,1078,60,2291,96,4032,39,2716,1909,96,156,4740,2482,224,1064,900,71,5133,5162,354,414,2325,1104,1020,240,924,782,646,276,1480,1440,198,560,3026,1679,7392,1387,2212,2822,2848,1092,264,437,608,3431,2400,1566,15,480,264,6545,260,2336,5510,5688,4641,5658,5520,357,5325,2212,84,1972,2356,1064,2993,1185,2982,1078,1068,195,64,18,646,1914,913,1012,333,2784,26,1168,476,697,4582,93,180,88,2556,4050,4662,246,3136,300,96,24,198,3060,3540,1044,42,902,2492,3792,2812,99,1140,4628,1794,2697,232,765,979,120,1100,1300,96,96,156,7068,990,18,576}

Returns: "Solution exists"
109

{73,0,30,12,48,96,106,0,67,12,73,50,56,89,13,69,72,70,85,20,32,79,80,47,100,86,53,27,8,76,84,79,9,41,15,58,21,90,84,7,53,107,81,48,10,83,2,3,22,73,36,93,8,75,75,25,38,99,65,75,76,93,77,25,5,67,45,38,15,25,32,82,28,105,108,22,82,24,52,15,14,108,55,3,7,29,77,73,56,59,11,62,4,2,19,3,93,25,74,98,62,33,41,40,54,12,84,105,48,75,9,83,69,73,6,48,39,10,87,21,14,1,43,72,64,36,102,22,13,6,104,23,82,73,94,7,29,92,2,70,49,29,84,52,6,83,71,10,10,34,65,60,18,71,27,79,61,2,27,68,89,28,105,15,43,60,30,51,90,66,21,67,68,9,94,51,15,85,38,69,105,49,70,41,16,74,82,80,48,35,53,14,32,6,91,99,89,0,68,21,26,28,105,93,62,88,61,30,104,2,98,74,24,41,72,53,5,7,14,33,29,39,96,80,104,21,99,23,16,56,6,53,34,63,57,72,105,28,83,83,105,52,23,90,29,99,13,9,25}

{4,62,8,49,81,55,58,38,2,29,74,107,18,84,73,60,75,76,42,105,50,48,40,37,23,87,83,42,46,106,75,55,46,27,24,90,36,46,13,83,21,102,71,61,35,108,64,22,38,70,41,22,89,79,11,95,88,5,8,82,43,38,29,76,8,10,25,35,70,54,101,54,57,3,30,89,83,12,101,13,100,6,77,15,26,87,1,34,46,89,24,18,7,20,76,59,106,99,28,33,19,36,90,34,35,35,69,74,57,6,97,28,73,99,32,59,79,87,95,105,85,71,90,37,1,47,37,99,60,90,81,46,88,79,6,92,55,41,87,11,61,23,46,87,50,13,38,62,17,49,47,85,76,88,54,10,92,108,88,2,50,74,2,90,96,11,5,65,93,50,98,61,11,36,24,75,80,78,86,95,76,48,50,108,78,100,80,15,20,5,17,93,91,94,38,108,23,6,101,72,9,19,32,58,75,3,82,95,52,92,7,43,15,60,5,30,6,20,80,63,70,70,108,56,3,64,28,101,105,74,88,76,17,68,49,98,57,66,76,104,72,66,84,92,53,9,100,86,105}

{49,3,1,1,1,2,2,3,4,1,1,3,2,1,1,1,10,1,1,1,1,2,5,1,3,4,2,4,5,1,1,2,1,3,1,8,1,1,1,1,1,2,1,1,2,2,4,5,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,1,4,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,2,3,1,23,2,1,1,1,2,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,1,1,1,2,4,1,1,1,1,2,1,2,2,1,1,4,1,1,1,2,1,1,1,1,1,4,2,1,1,1,1,1,2,3,3,12,1,1,1,1,1,3,2,1,2,2,4,1,1,2,1,2,2,1,1,1,7,1,1,2,22,1,1,3,1,1,1,1,1,1,1,11,1,2,3,3,2,2,1,1,1,3,1,1,1,1,7,2,1,2,1,1,1,1,1,1,4,1,1,1,1,2,1,1,1,4,1,23,2,2,4,5,1,1,1,2,1,1,1,3,1,1,1,2,2,7,2,2,1,1,64,1,1,5,2,1}

{98,2511,665,731,984,1428,1400,2697,340,391,4753,210,496,1219,980,76,70,966,488,4794,840,744,60,158,2475,368,3626,24,475,1050,530,2108,550,276,1950,448,4004,1600,1060,9506,6734,120,369,24,1968,98,120,300,8700,2254,3036,8900,2185,310,90,159,4002,1738,6365,370,714,7743,2254,1113,2090,816,2544,7134,1794,2385,920,3330,310,1410,14,2300,3626,850,897,780,4200,38,3332,195,9700,92,4214,3381,400,1633,450,5022,9506,1020,147,1065,4450,4187,6014,2257,3969,1628,4416,345,3690,1394,53,9118,120,190,220,3038,49,3871,760,1704,2480,1104,276,8554,3416,774,1088,5530,1032,44,632,7900,380,1216,410,2475,1702,3038,323,6208,1564,4416,460,414,43,2277,1325,3588,399,980,261,1296,336,2967,134,4636,1302,414,180,1488,64,20,276,80,483,6014,940,2496,714,684,154,5561,5696,84,5551,68,144,44,850,830,780,3355,1392,3,1974,1032,966,138,330,7275,2220,780,408,902,3108,4984,2520,323,1827,158,2277,1767,368,910,1100,3038,1880,4984,810,690,74,21,390,320,5917,3298,1950,5244,770,518,418,4947,840,2035,46,1840,42,240,30,2184,4898,2277,3102,1552,874,1554,1932,880,430,4270,470,868,294,490,3290,1092,5247,64,1702,1738,300,176,4982}

Returns: "Solution exists"
176

{10,82,63,12,125,96,62,104,82,40,100,30,108,75,167,97,116,94,0,40,69,41,62,78,14,170,82,0,36,96,161,33,13,49,166,9,22,165,61,34,62,104,136,90,24,59,126,164,45,164,7,103,56,170,81,45,89,57,143,149,114,100,52,113,29,30,28,25,51,32,4,134,118,7,125,24,121,114,61,97,51,152,126,135,32,16,61,134,79,7,108,28,69,142,128,27,136,89,83,75,37,114,148,5,91,147,130,8,14,79,53,88,69,42,69,42,12,173,129,154,2,131,169,117,76,14,116,159,144,99,75,31,59,153,44,158,60,158,120,171,119,163,101,153,35,11,77,31,76,47,125,40,97,13,150,81,119,53,32,174,132,123,50,85,117,39,12,161,73,120,45,160,132,92,141,133,61,10,36,119,0,57,33,128,61,118,100,47,54,129,20,71,21,96,106,109,84,108,100,62,67,159,19,167,6,44,173,11,52,39,44,160,105,168,77,66,20,140,50,95,42,116,1,74,98,21,82,120,23,6,69,101,169,37,169,160,171,130,102,11,151,50,132,28,166,62,34,95,136,145,160,82,18,94,117,151,107,7,107,21,126,71,173,7,27,25,48,124,165,142,135,117,54,12,77,74,151,26,15,70,120,116,175,118,62,45,3,142,160,120,83,116,73,126,31,99,153,91,134,57,36,17,144,26,113,148,54,27}

{74,97,57,128,142,42,44,128,0,24,140,85,37,88,138,166,102,60,104,113,0,171,156,5,101,143,4,86,137,38,109,29,101,161,138,101,71,104,147,159,160,148,115,126,53,83,169,156,95,120,104,35,91,40,104,149,107,78,66,100,35,56,104,139,12,71,11,19,4,99,66,31,108,133,58,129,105,12,96,114,52,72,121,14,106,146,10,85,156,146,64,60,128,7,138,154,174,99,74,171,164,28,8,0,131,60,143,61,127,113,126,58,51,142,104,114,11,89,148,71,136,107,158,29,32,83,20,154,91,131,169,12,119,49,70,35,117,104,68,2,73,116,99,83,110,10,39,64,144,125,69,27,32,90,10,6,147,157,36,156,131,57,56,70,93,164,106,151,146,105,152,129,166,165,80,61,100,170,164,103,120,143,13,31,163,173,70,90,122,100,109,95,39,84,37,10,119,69,102,172,138,63,59,137,71,18,51,168,5,96,2,167,99,78,29,69,161,134,129,38,148,136,172,131,150,164,114,119,100,50,169,146,174,171,110,26,154,29,46,165,146,43,142,113,17,170,4,156,58,85,107,156,81,105,147,24,144,90,30,61,68,125,148,42,141,140,0,84,17,101,113,83,90,107,106,19,35,147,50,100,159,88,20,171,50,88,32,111,102,21,73,156,135,149,5,83,119,130,81,72,123,58,74,2,157,128,68,15}

{1,2,1,1,2,1,2,7,5,1,1,7,16,2,2,2,2,1,1,1,5,2,4,1,1,1,10,1,1,3,1,1,1,5,2,53,2,1,1,2,7,1,1,1,1,3,1,2,1,5,21,3,3,1,1,1,1,2,1,3,1,6,1,1,1,1,1,2,4,6,1,1,2,1,1,1,1,1,7,1,4,9,1,1,1,1,1,7,1,1,1,1,1,2,1,1,1,1,3,2,2,1,1,1,5,1,1,13,1,1,1,1,3,10,3,1,2,1,1,1,1,1,1,1,6,6,1,1,1,10,1,1,1,2,2,1,1,1,1,1,1,1,1,2,3,2,2,1,2,4,1,1,2,1,1,1,1,1,6,1,2,2,1,1,1,2,1,1,1,1,1,1,2,73,1,1,1,68,30,1,5,1,4,1,1,14,2,1,1,22,1,1,1,1,1,1,1,1,6,1,2,1,1,1,1,1,2,1,23,1,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,5,1,1,2,1,3,1,1,13,1,1,1,2,1,2,4,2,1,1,1,1,2,1,1,1,13,1,21,1,7,1,2,1,4,1,1,1,1,1,1,1,26,1,1,5,1,1,1,1,2,5,2,1,2,1,20,6,2,3,1,2,2,1,1,1,6,1,1,1,1,2,1,1,1,1,1,1,1}

{612,480,3526,616,260,5040,1204,21,570,4615,4026,77,32,920,870,1120,2418,4575,1995,4757,855,660,616,1748,2544,5916,60,3705,1590,1008,2135,284,424,70,2030,53,1624,1533,1729,660,84,1659,1078,1869,2405,1326,4895,3960,7900,90,84,975,900,4828,231,300,1679,3116,4089,66,1725,396,1932,5025,6248,406,658,3956,240,990,940,994,112,6132,3796,5720,2368,2024,819,736,1104,27,3293,4656,5610,989,6188,154,88,3612,48,427,315,420,406,3538,4753,6570,234,1518,1440,161,2054,2185,1050,1159,5829,182,528,67,3293,2920,720,80,315,1840,4136,1022,6952,3538,4753,1610,4730,3692,198,624,2666,1220,4800,630,2530,6248,2703,430,1634,6450,3172,1806,60,6402,1484,4402,4770,3354,1350,3196,120,213,576,416,2340,4118,1056,168,1428,11,1007,925,330,8536,140,1394,180,2926,884,360,7480,455,1204,320,2700,1848,140,73,4977,6643,6006,68,90,2067,95,7134,8,497,6461,14,1254,672,174,264,2623,4582,616,63,2720,4148,53,720,858,1316,348,860,4386,1590,58,602,336,6674,92,504,8342,210,2880,5396,2130,2115,1505,854,440,3792,6320,3038,3008,630,987,6930,690,265,528,5,495,2279,5335,1056,2970,420,4026,4757,390,6862,559,365,20,469,1540,476,660,6952,3577,5005,483,1320,77,4800,988,65,1472,84,161,1001,1068,1508,1106,1680,4582,5612,1235,20,3212,530,6499,156,609,2024,510,774,975,1140,35,1254,20,1240,4171,462,140,200,924,110,546,385,1092,2728,2716,267,1633,1170,4558,5025,154,738,510,3212,576,5820,1675,553,348,406}

Returns: "Solution exists"
173

{89,131,12,106,91,115,98,103,129,30,75,94,106,155,94,148,94,140,30,63,112,87,103,124,152,64,144,51,58,147,97,171,88,90,20,28,57,151,21,89,7,134,70,158,132,160,170,21,38,50,10,56,97,125,141,8,41,121,124,70,56,91,149,80,162,28,119,106,27,168,146,4,30,54,120,78,23,123,149,136,145,14,86,41,65,155,9,69,29,1,72,147,124,48,43,158,35,43,156,98,0,8,156,117,149,34,63,31,21,163,17,108,37,96,86,31,127,113,14,161,140,71,152,65,120,6,51,152,38,25,124,69,34,70,154,68,117,6,48,128,127,101,28,71,74,39,0,122,57,113,148,119,117,124,157,28,146,52,142,54,104,85,105,167,31,38,92,100,156,167,28,85,158,159,147,8,105,86,71,107,165,3,78,142,172,100,142,56,69,49,67,112}

{76,157,110,99,137,20,164,172,10,148,124,34,137,138,20,55,32,52,86,29,22,44,107,127,55,20,29,88,87,106,156,86,118,23,40,127,78,142,28,4,101,16,82,47,21,80,36,60,67,169,77,167,63,115,136,58,34,24,17,112,5,119,24,84,51,112,171,100,158,12,83,52,83,93,31,86,149,51,20,152,160,68,25,120,41,55,43,46,77,54,109,25,69,65,124,6,100,125,53,18,130,123,6,81,17,50,154,111,82,4,116,57,109,130,68,153,52,95,127,76,163,46,135,18,91,160,111,109,149,103,48,0,27,86,135,138,52,149,112,62,152,165,71,162,126,25,104,126,80,7,26,116,55,10,63,91,120,68,64,154,56,20,157,9,138,7,29,149,39,114,103,140,165,86,138,44,30,132,157,35,96,134,20,151,13,45,51,92,52,56,55,120}

{1,81,2,1,1,1,2,1,2,3,1,1,1,1,1,3,1,20,1,1,1,3,1,8,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,3,1,1,1,2,1,6,1,1,1,2,1,1,1,3,2,5,1,1,1,22,1,2,1,1,1,1,2,1,1,1,1,3,1,4,1,2,1,1,1,1,1,1,10,1,3,1,6,1,7,6,1,6,1,3,2,2,1,1,2,1,1,2,1,1,1,1,2,1,1,1,4,2,1,1,1,40,4,1,13,10,2,2,1,1,1,2,2,2,1,2,9,1,1,1,1,1,2,2,1,2,11,1,1,1,1,3,1,2,1,13,1,1,2,1,1,2,2,6,1,1,1,1,1,1,1,1,2,1,1,1,4,2,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,2,11,1,10}

{1066,81,600,4838,1419,1349,312,2212,1092,819,2280,1540,2706,5673,532,663,2772,40,1449,1537,3870,198,2492,120,4386,798,3392,7050,2508,7790,114,299,5775,4512,1330,2920,2520,2040,1898,902,2475,6045,3069,1050,702,2838,144,1586,638,1848,520,2684,87,284,57,76,550,570,1176,2790,132,3397,310,7654,7426,6570,1027,1722,826,984,4218,440,1197,3640,380,2070,2976,3290,1178,258,3300,1846,1403,100,1350,1581,4221,126,2120,168,180,5795,72,378,504,224,1050,252,190,984,1008,70,608,1886,3038,1320,1363,3420,2574,110,1470,504,468,1168,598,5700,40,240,2840,52,20,462,1376,2214,860,1056,4230,774,1798,1708,168,126,3245,713,1504,1586,1640,992,630,2340,1720,198,1606,1738,230,3233,819,85,2408,1200,39,2370,2091,312,2349,3139,740,520,168,2632,1716,228,81,4087,4636,4350,1219,1302,2014,2196,2044,60,154,2231,5795,18,63,1242,1782,4450,1606,1560,1710,2040,7189,2982,1128,1012,360,220,561,180}

Returns: "Solution exists"
85

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

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

{16,10,1,1,2,2,2,1,1,1,1,1,2,1,5,4,1,1,2,1,2,1,6,10,4,1,4,71,1,2,2,1,5,1,1,1,2,2,1,1,3,1,1,2,1,1,1,3,1,2,1,4,8,27,27,1,1,3,1,2,1,23,8,2,3,1,4,1,2,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,4,1,1,4,4,2,1,4,1,1,2,1,1,1,1,1,11,1,1,2,2,1,1,1,2,1,1,1,1,2,1,1,4,1,1,1,2,1,8,1,1,2,12,3,3,1,4,1,3,2,2,5,1,1,1,8,1,3,1,1,1,1,1,1,2,1,1,2,2,1,3,2,1,3,2,1,1,1,3,4,4,1,1,1,1,1,3,1,1,2,2,85,2,75,1,1,1,1,3,1,1,5,1,1,17,1,1,1,2,17,4,4,2,1,1,27,1,10,4,1,1,1,4,1,3,8,1,1,2,1,1,2,7,1,5,1,2,5,2,3,1,16,1,5,1,1,4,2,8,1,1,1,4,1,1,2,4,1,1,1,1,2,1,1,1,1,2,1,8,1,4,1,19,1,2,1,1,7,4,19,1,1,2,1,2,5,1,1,1,3,2,1,7,1,2,5,1,1,7,1,1,1,1,1,1,2,1,1,1,3,1,1,2,1,1,1,1,2,1,1,1}

{64,80,5440,2697,112,1978,440,2376,648,680,132,1634,572,552,1200,572,1092,54,84,1848,836,3692,36,100,1520,4416,1040,71,420,30,260,4462,560,5,5520,1612,46,2064,5994,1634,216,48,1044,260,7221,4200,6930,1035,3053,6,3408,64,240,27,27,1782,1360,69,5865,552,5325,138,264,3330,150,1134,56,7275,728,238,17,621,4800,506,162,2619,1377,6640,406,1292,4004,378,5520,340,1200,2414,1472,468,30,6225,880,704,1656,78,468,840,86,408,3,155,3007,3230,3741,264,595,513,1520,1216,1275,192,1984,532,448,1512,6460,138,736,4462,3588,476,168,2134,552,170,2040,448,970,6035,506,72,552,513,30,120,966,525,600,1800,1530,525,710,1120,240,595,264,4928,2958,1426,2697,1224,1134,40,2760,1938,20,138,688,2001,308,1242,1035,2960,1190,2100,2100,552,504,468,5184,7275,3686,1826,2001,1200,560,7304,988,3440,85,1472,75,4899,2494,133,966,216,86,2964,75,2295,2511,170,8051,1104,28,572,340,1672,312,2340,301,70,81,285,80,72,1232,1116,2592,456,2813,1035,72,912,3420,260,2414,806,110,28,1054,280,1984,1196,70,476,2070,3450,80,43,80,4544,5440,1292,24,264,108,1140,150,408,1207,2552,70,56,46,276,5520,3230,308,432,1292,684,620,154,1050,240,10,304,2325,38,1242,304,3910,4200,308,468,228,1512,62,3870,230,1472,360,192,1984,459,69,1564,966,616,1275,1204,85,912,408,105,2622,7310,3465,405,1224,3230,880,2556,2208,1207,648,5325,798,884,3080,456,3828,2926,1196,5698,1596,525}

Returns: "Solution exists"
184

{98,149,11,24,108,10,106,7,134,171,55,42,69,43,175,172,7,84,60,53,161,177,44,111,146,5,73,88,158,98,39,11,76,147,162,55,167,50,141,118,65,123,171,167,123,38,10,124,175,137,99,61,143,156,148,27,35,108,166,158,62,137,63,168,49,23,73,183,47,144,16,119,103,49,40,38,78,48,142,126,170,13,66,110,128,30,83,66,63,153,179,94,99,70,23,63,115,82,112,146,11,53,116,171,178,132,62,159,77,65,49,170,2,94,25,18,142,22,131,114,88,20,56,177,140,169,62,0,161,50,71,71,163,48,96,25,57,135,75,155,88,71,21,105,7,38,81,9,169,164,43,5,126,149,134,94,49,115,151,44,83,49,135,47,31,105,156,9,21,23,129,9,56,44,90,73,175,12,113,97,47,128,100,147,15,21,140,93,67,10,79,130,122,142,111,16,104,160,105,59,20,110,79,33,115,151,142,92,108,40,41,124,130,114,52,50,157,58,42,46,57,121,168,138,157,98,183,84,77,142,158,152,168,27,141,44,75,32,59,154,149,123,129,89,73,163,165,124,23,142,152,50,59,133,41,172,108,179,160,10,86,170,155,39,32,70,4,16,39,23,64,89,98,83,82,48,60,122,22,32,13,145,39,159,121,143,34,129,23,123,24,83,179,20,96,32,109,55,50,87,0,117,69,43,131,138,163,170,83,32,88,14,136,129,30,55,131,56,107,96,159,41,137,61,125,180,173,99,133,95,153,64,60,129,99,47,33,96,108,141,143,91,113,103,86,136,61,10,106,103,29,1,58,38,114,18,3,27,51,1,34,157,145}

{76,102,120,121,75,34,138,26,180,35,102,136,29,167,100,20,63,79,14,65,110,51,148,72,12,100,65,180,54,80,44,95,85,145,32,11,142,7,77,98,170,10,93,151,143,16,39,26,173,165,135,8,83,134,179,16,159,125,128,119,121,176,163,157,137,42,49,118,20,17,159,155,91,110,66,6,140,16,65,97,95,120,54,167,2,166,25,169,142,36,173,179,128,46,145,85,161,48,0,131,6,64,137,133,128,63,80,119,172,20,171,57,53,97,85,112,13,12,87,28,24,8,170,153,106,9,94,166,155,43,95,64,138,172,154,24,135,157,28,41,152,62,172,91,109,71,164,171,116,159,51,16,141,73,110,23,95,9,91,112,65,84,180,127,162,110,178,132,98,153,136,20,47,13,60,22,137,26,33,62,117,135,151,181,22,71,145,167,111,183,54,28,59,65,82,167,133,84,138,50,40,138,147,112,153,89,35,34,32,106,166,115,2,29,58,28,122,3,84,168,27,106,81,8,79,60,14,25,164,81,1,129,162,56,85,62,54,146,90,151,2,96,138,81,130,88,5,171,33,75,62,18,42,114,76,174,111,101,2,115,126,106,95,114,102,12,62,109,62,33,55,6,127,155,53,72,134,63,46,100,11,122,87,70,28,135,133,38,114,74,76,95,114,128,172,171,62,117,119,133,114,173,92,158,96,83,40,41,172,21,31,62,0,165,111,147,1,138,158,102,56,77,63,164,19,172,41,78,49,107,167,39,169,62,17,55,140,24,33,82,62,47,16,98,73,38,127,1,2,49,62,64,98,133,176,179,118,37,156,170,80,110,62}

{1,1,1,1,3,2,3,4,1,1,2,1,1,2,1,1,2,1,3,1,2,1,1,1,5,1,1,1,1,6,1,1,1,1,1,1,6,4,1,3,2,1,1,2,1,1,4,1,1,1,3,1,1,3,1,1,1,1,2,1,1,1,2,3,1,1,9,3,1,1,1,1,4,36,1,1,1,1,4,1,23,6,1,6,2,1,1,1,2,1,1,2,15,4,1,2,2,1,14,6,1,1,1,1,2,2,9,1,1,1,1,2,1,2,1,2,6,5,1,2,2,1,1,1,3,1,1,2,1,4,3,1,5,1,1,1,1,3,10,1,1,3,1,8,1,3,1,25,1,1,1,4,1,3,3,1,3,5,4,1,8,18,1,2,1,4,1,3,1,1,1,1,1,3,1,1,1,1,1,7,2,3,1,1,2,1,1,6,2,1,1,5,1,4,1,2,1,1,1,4,1,3,1,1,8,4,2,6,3,3,2,1,1,1,1,2,1,1,6,3,1,1,1,25,1,15,3,27,1,1,1,3,1,1,1,9,1,15,2,11,1,1,3,1,1,2,2,1,1,30,3,2,4,2,1,1,1,1,1,20,3,2,1,8,25,5,1,1,7,1,1,4,6,1,1,1,3,1,4,1,1,1,1,1,1,1,2,3,1,1,1,1,2,1,1,25,1,2,1,1,4,1,2,1,16,1,1,2,1,1,2,21,1,2,1,1,1,1,9,2,1,5,1,1,1,1,7,5,2,3,2,1,1,9,5,4,1,4,1,1,1,4,2,2,3,1,3,1,4,4,1,1,1,1,2,2,1,1,1,1,6,6,1}

{930,4650,3666,940,2070,660,300,168,39,950,2200,300,2378,168,3776,6887,3612,5238,105,5184,828,21,261,632,330,1180,4032,286,207,90,504,3243,2356,5900,2775,4136,420,1596,4465,330,1472,1860,1200,924,2697,2964,280,616,5824,2714,315,2850,1624,27,2146,52,2774,6279,1290,63,2961,3894,430,78,2124,228,252,297,4828,360,3796,133,416,36,6039,5244,3480,3692,960,1260,138,78,1403,252,60,2838,1512,4697,2580,544,6734,1258,90,840,1900,3268,920,4189,140,240,4324,6399,2714,1450,1410,1032,126,511,9215,4544,900,1564,324,476,2052,210,60,880,3120,40,220,3550,3542,96,348,5775,2142,1204,874,152,276,948,150,6887,352,540,1428,546,90,1330,1518,252,7663,32,3612,228,1798,75,3542,4526,56,260,2115,1953,36,646,828,600,352,630,448,108,273,1428,222,72,2538,600,2370,608,1800,5325,5236,18,570,5040,3776,440,1722,252,1564,210,2596,2242,2960,948,8700,336,40,540,2231,10,236,960,472,1092,2726,3510,600,76,7029,900,5723,2870,160,132,1140,396,1725,396,3010,3080,20,328,2328,380,4602,2425,108,84,68,564,87,150,7566,30,189,54,5890,1740,171,1656,111,77,3572,63,2070,150,76,44,372,2976,1800,348,315,110,460,1925,779,180,1449,228,12,232,2170,3977,552,3330,260,40,1395,276,1311,56,150,440,2709,2236,504,779,6952,276,210,1064,4779,5609,15,5074,1680,4425,282,5900,3640,2920,470,609,1914,1368,152,7068,620,3864,296,2130,3104,75,2709,2024,532,3770,56,4186,1044,72,96,4200,990,1610,5432,5925,66,63,700,1656,264,5192,912,5775,18,800,5621,1330,5074,3534,2275,1261,910,360,1044,414,672,4424,1155,504,45,1496,3567,160,2829,2773,1827,544,1092,780,1953,1425,798,380,12,468,2583,1501,2910,3306,264,222,825,8,189,874,198,468,6300}

Returns: "Solution exists"
338

{288,309,49,250,120,142,132,234,200,156,304,246,58,288,301,179,230,27,280,144,306,12,162,229,181,280,36,6,158,213,8,172,213,218,67,85,303,101,202,77,67,139,87,208,31,239,23,233,238,8,327,153,158,181,263,240,314,227,279,30,55,278,56,68,274,266,84,336,170,22,128,56,15,76,241,251,205,46,321,301,261,166,233,155,325,189,68,69,312,266,187,86,247,131,79,92,17,75,56,205,265,162,18,204,90,264,22,288,323,279,127,285,145,71,317,75,187,282,264,78,261,235,168,20,82,53,333,53,264,155,149,133,333,56,309,224,156,170,250,167,96,205,205,173,123,35,270,225,99,329,239,313,251,313,141,197,295,248,105,81,232,298,8,135,264,28,48,235,58,133,225,260,300,198,281,212,118,217,162,326,24,240,259,225,134,188,136,85,174,199,179,278,19,300,179,218,257,169,273,166,111,168,38,99,334,209,187}

{190,167,28,38,187,25,208,119,80,220,173,221,39,75,231,56,77,144,279,140,240,254,238,110,265,114,216,57,188,83,278,261,102,140,85,301,162,175,93,138,112,287,188,109,290,177,27,287,326,200,127,271,289,233,215,304,252,28,70,176,73,256,70,88,317,238,307,203,331,81,282,41,111,196,90,87,337,68,220,251,316,1,170,259,182,238,240,110,180,82,302,315,188,220,74,69,45,134,254,107,4,19,302,45,228,334,10,327,65,96,162,34,171,245,15,123,272,47,100,76,298,312,48,142,277,128,172,119,298,124,90,74,25,96,312,39,145,220,265,262,291,167,89,2,211,13,324,157,176,152,65,147,165,278,184,280,47,13,212,73,205,69,235,20,84,131,206,42,229,241,30,236,48,71,227,191,86,4,46,95,290,236,238,99,78,151,22,278,236,305,149,302,185,209,309,228,227,223,32,179,261,336,31,288,118,304,324}

{1,12,1,16,1,2,1,2,5,2,7,10,1,1,1,1,1,1,1,1,1,1,1,4,80,2,1,2,16,3,1,1,1,1,4,23,7,1,1,1,8,1,2,1,2,1,1,1,1,1,1,1,1,2,1,1,6,3,1,77,2,1,2,1,1,34,29,2,45,1,1,1,12,24,1,1,8,1,1,3,1,2,1,1,3,1,1,2,1,17,1,1,3,2,1,1,2,1,2,1,1,1,1,2,1,1,1,1,1,5,7,1,1,9,8,3,1,2,1,1,1,1,1,4,1,1,3,2,1,1,1,1,2,18,1,2,2,1,16,60,2,20,1,1,9,12,1,3,1,1,1,3,1,3,1,2,2,1,2,2,10,10,1,1,1,2,1,1,1,1,1,1,1,3,1,2,1,1,11,3,2,1,2,1,1,1,1,1,1,99,1,1,1,9,1,1,1,1,1,1,1,1,6,1,1,3,1}

{1634,480,390,96,6723,280,3182,1886,300,2214,273,100,1728,4128,3657,2322,1940,9700,3770,7900,4059,4182,2618,912,80,2900,6,1978,96,1674,1392,1173,1860,158,552,276,231,2709,1914,5044,120,126,624,1720,792,1666,2134,126,3162,400,4361,4641,1440,560,1326,861,264,702,3770,77,132,6438,1566,988,960,34,87,2660,45,1078,240,2214,24,288,1360,2418,880,7524,82,2139,612,60,630,1484,39,3026,3116,1680,3696,34,4455,954,1296,3034,8740,910,990,5280,2214,2480,720,4620,3520,814,752,1176,1001,3827,1235,1170,539,2040,840,270,192,288,6885,240,1176,1368,680,6391,7802,920,136,1290,1380,1978,1960,2703,1200,3895,420,270,7392,1600,1080,3690,160,60,1710,240,6480,8463,99,72,600,39,3542,660,1105,171,6510,261,1333,2610,1410,516,1274,3234,400,280,1328,1196,4263,2886,7802,7553,2052,3485,3003,1980,4230,630,2295,3822,371,279,693,930,4136,4059,476,1794,1045,4272,748,8004,2574,99,3225,4785,1020,405,4128,94,1512,2997,713,1290,204,5810,144,1978,168,567,648}

Returns: "Solution exists"
196

{96,148,105,189,18,90,12,106,101,35,183,109,21,33,77,48,187,1,133,189,195,74,168,170,65,176,46,178,155,13,173,162,18,143,145,194,20,120,6,120,97,184,89,69,111,139,4,64,69,181,88,12,120,95,102,124,41,121,124,96,135,21,28,26,99,174,71,69,130,39,38,46,86,2,169,7,193,105,91,3,4,180,159,171,14,29,46,41,3,19,127,103,9,136,85,16,114,58,168,112,192,62,93,58,140,156,185,173,175,116,2,93,100,149,159,29,144,149,194,8,29,166,153,137,40,52,115,73,102,9,42,125,67,179,131,125,150,121,82,30,94,158,66,108,32,100,154,1,35,127,159,173,43,128,20,164,86,135,100,92,3,193,148,56,57,58,30,121,160,80,27,41,161,162,102,67,93,18,98,140,146,71,132,17,14,100,87,146,161,151,55,49,155,128,166,77,120,159,65,76,99,117,72,178,80,16,170,171,118,146,131,4,161,46,190,7,96,75,11,158,161,147,157,144,72,17,125,101,96,43,41,25,46,149,102,121,135,116,127,117,42,112,167,3,76,195,59,87,63,51,114,53,96,12,152,122,129,36,131,139,135,81,109,32,161,10,132,110,67,83,191}

{129,68,148,36,134,152,94,77,127,43,157,105,109,132,14,163,145,30,152,106,152,143,93,21,141,72,31,179,81,91,181,151,152,23,179,2,85,168,177,4,165,24,24,50,28,195,139,87,92,139,66,181,154,28,126,127,65,191,158,143,182,118,33,28,58,162,87,40,55,188,2,177,77,108,103,181,130,97,138,150,11,128,189,75,113,41,174,53,76,192,104,35,36,164,74,34,139,168,48,13,97,129,36,106,192,145,6,15,136,108,144,179,32,22,156,39,191,126,17,93,96,122,113,144,46,180,134,97,120,146,40,95,122,79,149,101,123,184,85,75,13,29,38,24,4,89,117,15,52,57,87,122,190,185,78,154,131,33,117,29,164,166,51,67,147,39,109,140,129,156,155,4,70,42,111,83,52,125,146,137,28,25,113,44,188,78,165,133,131,12,132,27,160,179,114,143,71,123,192,17,122,109,148,186,33,5,39,83,183,43,38,101,175,70,98,39,156,164,0,86,162,143,154,61,39,93,144,177,142,101,7,31,131,136,5,105,16,137,115,153,58,102,98,161,42,117,3,136,121,103,107,115,28,128,131,97,44,180,173,28,188,88,149,10,102,88,85,1,174,187,86}

{1,1,1,1,1,1,1,2,2,1,1,2,2,1,1,1,1,5,1,1,1,1,1,1,5,10,2,1,1,1,1,7,1,1,2,7,3,1,1,4,2,2,1,1,6,1,1,48,1,1,1,1,38,2,1,1,1,4,7,1,1,1,3,1,6,1,16,1,1,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,3,1,1,6,1,33,14,1,3,1,1,27,1,2,2,9,19,2,1,1,8,11,2,4,1,1,2,1,43,1,1,2,1,4,33,2,2,2,1,4,7,2,1,1,8,1,1,1,2,6,2,1,2,1,24,28,1,2,5,1,1,3,1,1,23,1,1,3,1,4,1,1,1,3,1,1,2,2,3,1,1,3,1,1,1,4,3,2,1,1,99,1,16,1,1,1,4,2,1,1,1,1,1,2,3,1,1,4,1,1,2,26,2,1,1,1,7,1,1,1,1,1,2,8,1,4,1,1,9,1,2,1,5,19,1,2,2,1,1,17,1,1,2,1,1,1,2,1,1,2,4,2,11,5,2,2,2,2,1,6,1,1,2,2,1,1,2,1,2,1,1,1,1,1,1,44,1,1,15,1,1,2}

{5372,2508,2706,2862,2958,371,4662,2356,992,1505,684,1886,1012,861,3410,4015,2318,450,212,4028,2862,2145,1386,1188,350,200,1798,1680,744,8930,6319,35,2703,1365,912,77,990,7524,2328,532,270,3528,5112,2844,84,4590,2380,96,5767,6035,1207,5254,76,48,1892,672,1475,912,168,4420,4272,3652,42,498,390,455,96,2054,646,902,3542,6014,930,1848,6365,6461,1326,2214,94,6142,1260,690,477,1710,2860,1534,806,5546,1258,324,1120,2345,756,3969,66,392,5695,990,7227,3135,162,5135,378,1140,891,190,552,890,3920,48,231,336,252,774,855,286,2508,43,28,966,884,2236,208,99,806,120,1218,2322,836,588,598,16,4524,528,1161,62,1411,2352,924,450,5985,728,782,72,28,2556,532,90,840,672,144,4628,1548,138,1980,3078,270,1869,252,1898,5994,3354,297,1653,210,330,1150,1584,3002,6460,24,1652,3784,1610,924,609,168,51,1960,99,294,160,2132,20,4510,396,240,196,2376,518,779,231,456,1104,2881,4030,608,153,2025,68,156,644,1650,2415,1428,56,594,1995,2988,2107,1242,868,880,2666,360,2002,6460,162,1845,840,3080,130,38,3234,550,28,33,6014,340,2666,5369,2320,1674,2107,308,1968,4984,1584,672,112,690,132,120,3256,782,756,2960,2352,432,1809,1675,1974,204,5106,1431,1404,395,270,2403,510,7298,2201,1978,2604,88,6603,2706,180,1131,1281,1140}

Returns: "Solution exists"
112

{32,95,74,58,76,41,57,24,68,29,103,62,54,36,79,78,68,88,109,44,103,74,34,21,58,30,3,101,91,93,26,16,13,18,4,90,40,47,33,47,87,69,88,28,105,63,64,3,50,56,104,59,55,48,48,46,101,107,13,9,106,81,57,58,15,1,24,27,85,101,90,74,102,43,39,36,28,13,46,46,33,22,71,46,103,25,76,47,32,10,91,1,71,35,22,102,53,97,34,86,29,4,27,60,81,50,47,39,106,21,46,10,52,88,1,76,79,78,80,72,79,27,10,30,93,73,32,65,5,84,42,24,38,30,65,109,68,28,68,0,57,24,36,100,64,109,7,65,104,46,88,72,15,37,52,9,48,60,109,59,15,96,48,20,29,45,17,58,22,65,9,22,30,47,101,69,59,78,51,25,70,9,9,54,47,32,30,21,102,5,31,85,50,1,11,53,13,29,7,75,6,57,107,111,62,72,99,49,44,33,111,95,106,0,4,48}

{77,76,48,91,42,18,2,15,60,30,89,80,19,9,73,58,103,110,89,24,34,13,88,14,51,105,38,79,28,25,55,55,101,106,68,3,24,59,42,84,67,80,89,49,25,32,6,2,16,23,105,5,68,69,15,76,51,12,57,76,31,70,108,16,93,15,20,95,17,64,107,92,70,95,9,41,35,17,106,60,84,62,9,17,104,36,90,53,100,82,49,45,95,62,88,29,84,96,45,65,83,84,65,71,0,107,42,35,34,91,66,26,85,26,22,72,41,87,72,90,64,82,94,20,20,79,64,60,111,7,14,29,65,54,56,101,30,46,99,8,77,18,59,107,10,92,44,25,85,73,103,81,88,3,70,14,73,94,31,20,71,83,28,55,111,5,1,39,37,6,5,105,100,93,4,101,57,36,94,24,54,106,101,3,97,82,83,27,2,49,82,55,89,52,2,85,6,104,71,102,79,32,41,13,45,18,50,100,15,58,18,70,101,38,30,6}

{7,3,2,1,6,6,5,11,3,1,3,4,3,1,1,2,3,2,1,3,6,22,2,1,2,5,3,1,1,1,1,3,11,1,1,1,3,1,42,1,1,4,1,1,1,1,3,3,1,1,1,1,3,2,1,2,1,1,2,1,1,1,40,1,1,1,1,1,1,9,2,22,1,1,1,6,1,1,1,1,42,1,1,1,12,1,2,1,3,5,1,1,1,1,1,1,7,1,1,4,71,7,1,1,4,2,1,1,1,1,4,1,1,1,3,2,1,1,2,2,1,1,1,5,1,1,9,1,1,1,1,1,10,16,1,1,1,20,3,3,1,9,1,1,1,2,1,1,1,4,4,2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,3,2,5,4,1,5,1,1,11,3,1,6,2,1,1,1,1,3,1,9,1,1,5,1,5,1,1,3,1,1,2,1,1,1,1,1,2,1,1,2,2,1,1,2,3,1,1,6,1,2}

{819,1254,2442,286,462,504,240,495,357,5680,24,104,1200,2010,3196,546,408,1260,246,99,72,66,252,75,182,80,2070,4653,220,1241,1116,684,198,3384,3927,5934,1683,17,42,714,374,624,84,1180,85,630,252,345,3534,2805,60,13,612,1776,4070,3300,1386,2574,880,4422,1645,1376,80,1482,4015,3135,2475,4731,2091,99,1118,132,2365,1254,2948,210,60,1122,4700,2100,42,600,3551,5100,24,510,2838,1547,693,450,649,1311,3021,24,2100,3905,546,4386,414,20,71,462,1660,1113,96,806,714,132,846,1078,700,775,369,868,1425,330,1974,714,260,430,423,7470,50,400,1825,3196,63,420,273,546,1974,7029,180,240,660,8118,4080,100,1530,276,7280,792,30,858,225,1804,39,340,492,1700,168,160,1540,5520,387,3149,2516,42,2870,25,2915,3621,740,900,1491,299,969,572,1200,420,871,4606,2640,1241,693,1584,80,210,14,1683,2064,3149,6633,1104,1462,630,5680,8134,165,767,630,1476,186,171,30,3731,924,852,689,1980,3948,5040,546,462,184,360,2790,1947,165,546,504,2451,4653,180,6160,3108}

Returns: "Solution does not exist"
365

{42,192,164,148,348,257,262,200,228,40,33,126,61,118,62,278,297,21,183,120,268,219,137,358,166,56,72,364,311,305,186,224,198,128,96,115,160,242,17,238,140,81,255,363,87,106,238,86,109,351,31,109,342,54,267,277,336,140,48,167,341,7,201,160,243,295,249,333,5,126,286,69,100,25,17,273,328,14,149,67,297,103,44,175,297,45,175,272,329,270,339,55,333,27,46,327,219,50,227,169,25,138,327,174,67,324,303,33,158,71,312,337,335,338,73,9,236,215,94,92,148,212,348,167,106,270,281,192,127,169,327,288,202,180,51,267,41,173,28,23,43,61,272,324,21,252,328,275,58,66,16,343,117,172,329,233,87,153,166,158,211,10,72,56,150,281,178,301,146,23,339,139,286,8,182,64,290,11,11,300,147,69,254,291,277,198,49,229,11,29,16,219,188,348,40,139,215,345,253,70,180,84,353,233,222,182,234,242,45,352,227,18,284,291,354,11,305,294,47,50,24,245,349,168,301,175,203,187,256,233,265,258,20,75,205,281,357,42,14,83,19,265,298,217,326,25,347,231,39,345,170,36,143,58,101,164,104,267,42,135,9,15,43,213,196,207,188,137,223,139,363,192,130,122,315,100,333,315,61,295,7,73,146,282,229,345,276,364,5,64,260,161,64,201,106,335,300,283,190,140,291,299,138,36,298,173,46,90,45,90,256,200,128,92,188,198,303,282,256,114,4,177,258,321,238,47,199,336,215,63,21,145,295,140,179,341,239,260,231,283,7,146,195,185,363,123,187,245,142,97,113,19,61,127,5,307}

{280,302,124,63,142,99,176,64,3,311,187,2,343,273,83,304,305,152,61,336,108,251,68,42,65,321,293,3,324,325,156,29,39,189,65,356,281,48,363,159,170,274,321,130,24,345,298,130,331,211,157,71,115,18,335,326,361,215,99,11,324,55,275,79,140,227,207,48,291,91,78,16,5,35,310,58,84,120,227,244,133,129,337,96,84,43,64,216,344,323,109,324,3,160,143,321,138,153,71,313,112,312,41,176,33,20,363,22,56,170,182,294,194,253,0,40,317,5,135,213,53,221,44,162,67,360,233,201,229,196,32,46,124,350,198,206,173,213,244,17,360,175,30,171,105,79,47,300,226,352,10,167,216,56,118,210,50,332,210,302,52,94,340,174,268,206,173,281,55,110,45,359,329,55,164,255,150,35,162,142,315,154,203,294,61,215,215,337,131,242,183,188,167,357,274,203,196,168,358,252,44,343,97,68,101,341,206,70,286,348,150,245,278,24,175,244,31,32,183,52,207,215,99,241,130,159,3,328,46,37,296,295,300,44,43,192,303,23,267,280,348,69,141,320,52,207,77,354,85,261,272,35,175,336,231,24,18,291,349,260,83,100,97,342,213,127,298,276,62,360,132,209,12,154,224,238,345,59,98,352,303,316,167,159,134,363,160,121,237,211,20,356,364,157,32,285,24,253,220,275,4,261,112,356,206,137,165,155,0,353,308,294,193,222,281,92,226,18,78,342,133,347,202,244,258,332,49,340,299,158,61,100,350,338,76,126,78,208,134,307,89,280,332,192,284,124,15,192,304,153,215,10,275,317,335,201}

{1,11,1,4,6,1,1,1,1,4,1,1,13,2,1,1,1,1,1,1,1,1,8,9,1,3,3,1,1,1,1,1,1,5,1,1,1,2,1,1,2,1,1,7,1,1,1,2,1,2,1,1,1,1,11,1,2,2,1,2,1,1,1,17,2,1,1,1,52,2,9,1,1,4,1,2,5,3,5,2,3,1,1,1,1,1,4,1,7,1,3,1,1,1,1,3,1,7,5,1,1,1,1,1,1,1,1,31,1,1,1,1,3,4,1,2,2,2,1,1,8,1,1,1,1,5,2,1,1,2,7,1,5,1,1,2,1,1,1,1,19,1,1,1,1,17,1,10,2,1,1,2,1,1,1,1,7,7,1,1,2,1,1,1,1,2,1,1,1,1,3,1,1,1,1,4,2,4,1,2,34,1,1,13,1,1,1,3,8,4,2,1,1,18,4,1,2,4,1,1,1,1,1,2,4,6,2,1,9,2,1,1,1,1,1,2,1,7,1,1,1,1,7,1,1,3,1,1,1,2,12,8,10,1,1,3,4,1,1,1,2,1,1,2,1,1,3,1,1,1,2,2,1,2,1,1,2,2,1,20,2,1,1,1,2,1,1,4,1,1,1,1,1,1,1,1,1,2,1,2,1,3,2,5,3,1,1,15,4,2,20,1,1,1,7,3,1,4,2,6,1,1,1,1,1,1,1,82,1,1,1,7,1,1,1,1,4,1,3,5,1,3,5,1,1,1,1,1,2,1,1,1,1,2,2,6,1,1,3,2,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1}

{1809,99,365,280,630,7084,2709,3724,1763,884,3162,390,26,910,410,1845,4233,637,364,2550,96,13,528,27,387,1071,33,1845,4148,6308,4845,572,1547,50,657,1802,1020,2400,5460,255,1344,3420,2040,910,2093,1120,1377,3360,21,1710,4158,1995,1870,800,66,6762,1632,798,3850,928,2562,19,2670,170,1218,280,1482,1350,52,624,792,170,3796,112,4380,1330,1235,2325,5,1798,255,1767,7227,3504,4845,3762,912,2294,588,560,357,61,1107,6205,1190,1071,82,14,95,3762,688,6970,1575,2016,5394,2440,1820,93,2331,6080,1020,9009,660,140,2886,1300,414,988,220,756,560,5900,6570,2958,2030,1520,372,8811,903,190,693,14,85,2862,2730,946,325,364,3286,1860,190,624,5254,3782,2205,102,3965,150,684,3034,2142,754,2976,63,1274,5518,91,14,3827,407,2880,693,57,2016,222,516,1300,876,76,496,1683,5796,3528,19,876,760,814,224,1632,1050,68,490,209,364,1274,3458,2698,693,32,1248,476,95,5510,180,468,1748,190,544,252,4233,3942,2470,871,2728,736,84,2150,7968,792,3690,370,1376,902,1196,4272,992,4482,1001,1708,448,1311,1634,154,4420,5110,240,779,2210,210,1798,36,560,200,4526,190,396,180,837,2046,5494,3330,60,7128,1394,4416,912,765,2937,1496,2528,2368,1204,4080,646,1056,1679,1056,572,378,100,2050,7227,494,1540,140,2451,7695,336,35,8740,2093,6336,910,9702,748,1241,864,2924,923,2296,380,78,2204,195,483,2912,2380,90,1040,3420,200,1696,3420,6853,385,396,1150,112,1700,210,3692,2212,3526,4558,6966,624,154,82,3663,5494,570,637,4950,2484,1140,2457,180,2080,495,275,1065,306,1360,3162,1360,427,4615,646,532,740,637,2628,2968,420,616,546,99,9300,759,16,1900,5092,406,4653,2002,320,3366,4257,630,182,1026,4662,390,774,1716,178}

Returns: "Solution exists"
229

{10,168,191,16,36,73,77,37,67,54,212,199,20,119,109,30,65,73,74,101,104,141,183,99,36,172,207,91,20,81,107,218,118,170,69,197,78,185,154,64,86,189,205,0,144,126,58,215,227,107,220,214,70,124,130,5,0,119,153,127,22,88,76,194,79,89,25,84,71,12,208,14,85,140,111,54,140,168,108,190,138,227,195,76,225,216,129,24,133,59,86,209,49,34,208,85,47,121,147,180,163,111,0,107,141,174,45,121,86,186,149,142,56,185,202,215,71,182,178,42,101,115,0,145,15,56,44,156,123,223,0}

{135,216,206,37,164,67,88,51,0,120,20,16,211,134,172,61,54,120,205,24,130,150,94,155,40,141,192,40,90,124,187,180,38,186,136,101,208,168,120,190,226,199,78,190,167,32,120,153,6,105,207,46,46,141,53,30,155,177,156,101,152,190,119,125,158,184,126,227,34,94,98,46,47,143,156,7,60,77,204,42,32,188,199,127,116,4,59,138,190,64,126,123,91,187,170,69,49,153,133,37,121,168,105,106,160,78,74,40,88,92,162,201,205,91,35,160,190,53,2,102,147,30,205,183,195,153,169,39,173,121,40}

{1,32,1,1,1,33,2,1,2,2,1,1,1,1,7,5,1,1,1,1,2,1,1,5,1,2,2,4,1,11,1,1,2,1,1,1,1,16,1,1,1,2,1,1,39,1,2,1,25,1,2,4,2,1,2,3,1,11,2,2,1,1,1,1,5,14,10,1,1,1,5,2,1,1,2,1,1,2,1,1,1,3,2,3,1,1,1,1,1,15,1,7,2,3,1,1,1,2,1,1,1,2,1,1,1,1,1,4,3,1,1,1,1,4,1,1,1,2,1,3,2,3,1,1,2,1,1,1,1,1,2}

{150,64,5893,637,1421,198,970,3185,1518,1598,6499,442,3752,649,154,165,1786,3366,783,3354,592,138,1554,55,812,42,3136,140,2345,616,5964,1104,88,1817,6320,5246,390,96,1598,1095,1320,1326,702,3358,78,60,850,170,75,6887,3724,40,44,462,518,165,2530,55,92,1032,75,876,693,368,105,210,70,5550,3195,777,165,156,575,1343,1932,7050,1207,160,779,2409,8536,1425,1462,504,3,6208,3285,3432,6643,45,330,14,740,1260,1185,1840,1850,64,728,2352,6336,672,4462,2059,534,2106,1247,448,132,1219,1404,1168,945,240,3234,7565,5183,574,1079,429,344,30,1242,1302,2408,70,3731,460,644,1728,644}

Returns: "Solution does not exist"
249

{68,4,65,130,77,131,38,200,84,104,45,237,153,113,195,235,76,18,197,194,202,33,231,45,9,48,141,243,9,144,78,124,43,131,119,115,164,240,243,64,51,43,165,184,223,14,237,153,127,69,63,83,224,166,173,47,102,110,209,119,143,77,182,179,4,100,227,30,112,161,33,72,219,211,178,100,127,233,134,101,12,29,225,125,19,218,204,208,125,0,44,169,54,168,81,60,56,154,86,181,7,220,33,65}

{241,120,42,194,173,216,76,117,121,217,76,166,217,58,126,150,198,42,84,129,214,56,95,224,14,183,139,101,233,196,222,199,9,42,89,98,34,156,50,16,47,85,13,99,122,213,235,5,72,66,87,204,218,61,167,2,171,83,0,53,20,216,72,63,239,41,208,181,209,239,32,122,91,18,107,87,21,238,41,155,218,121,88,40,52,140,126,244,114,106,198,147,72,193,104,237,119,87,112,67,92,140,141,15}

{1,1,1,6,1,2,2,2,1,1,2,4,5,1,1,1,1,1,1,2,2,16,1,1,2,1,1,1,2,1,1,10,1,1,3,1,1,1,1,4,1,1,1,1,1,6,4,1,1,2,1,1,1,4,11,1,1,1,1,1,2,1,1,1,39,1,1,1,1,1,8,1,1,2,1,2,1,1,1,40,1,1,1,9,1,1,9,1,1,10,1,2,1,1,1,1,3,1,1,1,1,1,1,1}

{858,7566,3700,66,4004,2604,2132,48,1508,8930,4100,1700,475,4277,18,6916,7134,1924,4212,2310,1968,48,1422,4700,2214,3417,1909,880,3116,2322,6622,30,6970,3108,1020,1128,2950,5628,539,900,2254,5610,568,730,660,540,1900,2350,3478,1978,1886,738,2068,952,132,4186,3854,2583,9900,1632,1230,5642,7990,287,78,360,4092,308,5148,429,48,1410,7584,1924,650,1656,2331,380,485,80,2684,2610,1254,198,73,748,18,1540,1881,300,2436,2788,8742,111,6862,7900,816,2622,2236,4158,3230,901,368,6700}

Returns: "Solution exists"
145

{40,123,15,39,57,81,76,25,32,40,133,133,44,51,27,49,41,113,116,67,7,21,101,7,63,100,61,46,6,108,103,139,30,45,5,62,63,144,95,53,131,16,110,72,44,14,134,69,133,12,119,41,129,119,22,89,130,125,122,111,123,117,68,77,10,12,1,72,75,105,106,84,65,81,59,108,26,87,111,6,18,87,29,122,35,6,100,49,68,26,143,52,90,71,11,40,59,38,130,58,119,68,33,46,95,141,140,120,47,120,67,117,143,139,48,81,114,1,44,34,71,75,72,106,40,40,114,74,115,136,84,4,140,101,22,46,101,84,131,34,112,111,83,82,106,81,122,139,144,53,40,102,0,80,111,88,126,73,117,31,140,45,123,132,88,83,42,11,53,20,45,55,61,17,132,78,43,15,31,15,111,108,18,88,17,71,7,143,81,78,0,27,128,23,138,9,70,23,53,65,69,101,3,94,29,31,13,141,128,108,71,97,88,61,54,7,70,28,6,128,15,131,137,140,36,66,7,16,119,61,51,25,3,105,114,75,122,95,27,88,109,27,103,128,82,59,48,129,107,47,101,108,115,127,31,91,136,22,47,114,18,133,14,88,19,56,10,1,16,35,37,10,33,123,85,138,85,112,45,0,72,82,139,10,122,111,53,42,119,17,140,119,128,20,58,11,137,123,43,5,110,107,54,137,104,16,115,18,105,75,91,26,56,80,110,47,75,120,139,3,112,41,24,136,90,96,9,137,83,39,132,91,78,138,88,120,88,59,4,89,138,101,87,46,5,136,7,140,10,53,85,139,96,83,19,123,123,2,133,80,23,115,50,104,28,92,1,48,36,22,0,92,41,50,80,34,13,58,111,73,111,95,24,59,125,3,41,6,105,114,36,118,88,11,42,70,88,95,5,6,106,56,59,105,72,113,115,23,87,123,53,123,143,21,110,125,13,9,139,106,47,69,55,102,124,73,47,25,91,88,78,53,82,125,24,39,26,91}

{96,77,61,53,136,55,22,19,28,89,1,140,53,128,67,102,78,12,95,115,11,104,84,114,121,70,70,14,110,17,78,138,88,74,112,91,6,6,27,129,136,32,36,113,120,69,61,82,116,46,35,136,65,91,53,76,33,51,5,90,138,34,106,21,89,6,10,122,59,114,142,121,142,65,24,41,8,109,95,53,21,44,120,79,92,129,78,5,8,27,69,68,91,66,137,140,1,115,97,42,63,61,4,53,128,36,57,141,103,116,133,108,58,39,43,57,86,124,8,27,57,63,132,92,135,50,63,82,9,73,139,32,113,114,125,24,84,81,54,67,99,135,51,49,57,71,34,122,135,126,42,84,66,22,7,72,60,12,14,126,42,134,24,104,112,106,61,58,36,2,144,74,64,119,112,132,41,124,66,25,21,1,114,10,30,8,25,72,19,98,57,86,2,95,106,5,67,50,25,96,14,60,143,47,26,119,76,3,78,2,32,28,98,67,136,48,42,49,66,133,121,71,40,55,73,100,98,83,50,19,143,46,102,14,17,35,130,140,53,134,16,72,65,32,76,24,115,126,119,4,11,49,109,94,5,138,18,42,60,26,132,66,57,49,99,81,6,47,48,135,15,121,126,5,7,89,98,142,59,17,133,23,35,52,19,45,137,1,35,107,54,99,92,107,140,97,97,50,67,97,31,49,78,138,98,65,140,97,18,117,119,76,98,104,12,80,28,90,52,33,29,42,141,131,5,49,37,39,35,139,5,50,40,122,70,70,59,67,16,109,123,79,14,81,32,111,115,70,28,106,77,52,58,33,94,97,84,100,114,16,5,134,64,64,39,12,105,92,131,127,61,26,120,15,42,100,96,43,81,109,53,112,16,25,117,119,121,110,23,19,19,95,111,51,7,135,101,9,92,5,65,118,41,10,50,62,49,18,48,79,139,137,129,61,21,128,46,132,32,8,23,121,43,106,0,67,32,141,52,45,95,98,137,30,57,81,27,85}

{2,1,1,15,1,1,3,2,1,1,1,1,1,6,1,2,3,2,1,1,1,1,1,1,1,2,1,6,6,1,1,1,1,1,3,1,1,1,5,1,1,1,1,1,1,2,1,2,1,12,2,1,1,1,3,1,1,6,1,1,1,3,4,1,1,12,3,1,2,1,3,3,3,6,1,1,1,1,1,15,1,2,1,1,2,1,1,1,1,7,1,4,1,1,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,15,2,1,2,1,1,1,1,1,1,2,1,1,1,1,3,1,3,1,1,1,3,1,1,6,1,29,3,1,1,10,1,1,1,1,1,1,42,6,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,2,1,1,5,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,3,2,1,5,2,2,1,1,1,1,2,1,1,3,1,13,1,1,1,1,1,6,1,3,1,5,1,12,1,55,1,1,1,1,1,1,4,12,1,1,4,14,1,5,1,1,1,1,3,1,1,3,1,1,23,1,1,1,4,1,1,1,3,1,1,1,1,1,2,2,1,3,1,1,1,1,9,1,1,1,1,1,3,2,1,1,1,1,1,2,1,3,3,2,1,3,2,2,1,1,1,3,1,2,33,26,1,3,1,1,1,3,1,1,1,1,1,1,1,6,1,1,1,1,1,1,6,1,1,1,2,21,3,1,15,11,1,3,1,2,1,2,2,1,1,1,1,2,6,3,1,11,3,1,3,1,1,1,1,2,1,1,1,1,1,3,1,1,1,1,2,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,2,3,6,1,2,1,1,1,1,1,1,1,1,1,3,6,1,2,1,1,2,1,1,2,1,15,1,1,1,2,12,1,1,3,3,1,1,1,12,1,1,1,1,1,4,1,5,2,3,1,3,7,1}

{2604,3009,415,75,799,294,1173,3700,897,5964,39,1131,1230,156,2030,60,1326,228,2970,1914,77,1558,6474,704,3015,1248,6474,264,780,2623,3417,645,5184,4092,231,6006,4020,5340,385,165,476,1677,4290,3534,2870,1056,5395,1120,702,24,1748,1326,198,2926,255,4899,1190,1248,462,1406,2537,609,1248,1938,7029,60,99,1302,980,3392,1248,1170,234,18,2842,3354,105,2296,2035,60,2546,2296,2590,798,2668,660,1632,330,780,35,928,1196,2926,351,672,2436,294,132,6930,2478,2546,4316,1564,120,660,55,4089,35,1541,1890,754,903,1711,75,1950,282,576,138,1230,3045,611,1340,5115,2784,6972,84,4288,6510,693,935,390,3588,3306,5312,1632,696,6474,78,2604,174,126,3071,4758,70,4512,78,1218,210,7387,285,84,156,1755,3009,407,5952,266,660,462,988,1218,2860,1711,2255,1344,5856,3486,413,165,2204,3916,4557,8134,2318,1155,2805,1950,230,1404,100,1406,129,4288,6336,4941,195,1100,2697,222,3315,3055,630,348,495,4128,693,2262,9,300,558,1056,1162,1392,460,518,988,5451,48,204,1247,39,2277,4160,4814,1581,858,546,230,540,156,45,364,672,4263,55,864,715,2623,38,6142,2262,600,48,3498,3904,460,70,4785,105,4160,1763,3255,1206,156,4830,2842,858,209,3078,92,581,430,1353,480,1716,3311,1139,714,322,448,3685,351,3102,320,666,102,1980,69,3354,7636,210,495,323,1947,836,3053,4940,273,2156,3965,1209,630,1380,9108,518,1628,480,42,1748,4941,2697,342,348,6156,5133,693,3168,59,1450,99,156,810,1581,4128,2665,774,957,6633,3551,420,2926,483,1105,2419,156,1357,460,1330,1380,816,1554,546,29,476,1254,310,126,2400,5612,75,165,77,1428,602,2496,2730,3136,2842,3956,2911,2537,4731,1848,24,429,629,33,2262,2277,480,3876,1380,3658,1037,740,5841,4602,928,832,2537,99,2145,98,4018,1725,348,159,2262,1540,1632,5395,406,2730,5,2478,2784,4898,2950,222,2255,555,1155,1247,4900,672,912,1170,780,477,2368,4070,4730,2368,546,462,6474,5312,3465,1914,660,288,1462,3822,5247,93,1482,330,603,2184,3363,15,5664,319,3154,1482,96,1896,3465,195,480,207,1440,2450,96,2990,3190,897,100,7084,704,2805,195,3360,2592,1363,150,35,5852}

Returns: "Solution exists"
325

{114,321,78,163,35,45,11,178,71,297,189,68,144,9,240,59,294,4,279,302,185,3,303,125,235,286,78,94}

{117,292,324,231,261,259,232,107,222,4,241,291,170,230,181,253,65,29,155,64,303,174,77,135,105,44,132,266}

{4,4,1,1,5,17,1,1,1,1,3,12,3,11,1,1,3,1,1,2,1,1,5,1,2,1,14,2}

{364,52,2520,6279,330,85,357,4753,410,525,2511,288,255,308,154,114,186,378,2871,1848,390,574,15,2324,60,3366,280,1984}

Returns: "Solution exists"
402

{75,230,149,290,228,182,135,70,137,195,316,325,289,396,100,95,50,138,232,289,47,43,394,354,200,236,66,141,205,105,285,360,145,343,239,348,323,15,393,120,389,366,20,269,373,37,65,149,131,18,63,133,140,246,130,182,79,239,225,13,183,105,99,10,394,316,109,385,216,240,112,13,271,299,45,336,274,212,150,154,329,347,92,306,288,86,170,359,368,130,367,279,270,18,102,67,360,391,53,362,93,30,35,35,204,106,182,144,242,366,372,293,119,97,363,293,210,92,390,323,21,163,13,315,68,50,68,42,75,84,92,319,228,56,211,175,292,400,301,24,237,50,246,14,95,356,39,110,343,284,196,216,101,93,401,399,68,296,59,359,285,50,323,218,189,88,372,129,153,86,184,5,98,100,190,295,146,304,173,253,4,378,73,276,375,192,54,103,76,147,243,325,18,10,148,110,251,4,166,84,304,177,320,211,382,275,132,399,256,30}

{155,88,237,239,8,325,248,236,194,252,224,67,200,16,225,327,117,310,348,164,125,176,158,110,236,371,93,213,160,332,20,195,375,303,385,356,341,32,137,269,135,49,36,50,11,323,291,185,382,279,246,160,125,16,166,34,320,68,264,224,97,164,44,25,344,161,268,131,98,341,70,133,362,77,41,186,103,110,322,222,210,157,38,1,6,312,107,272,379,39,269,362,257,121,16,294,61,163,376,308,358,333,0,163,36,206,296,392,328,239,260,338,339,184,354,375,393,300,303,300,336,318,318,293,233,10,234,54,209,308,287,127,93,198,215,181,25,13,365,288,234,272,155,336,204,317,328,79,202,114,175,298,200,221,315,183,332,349,88,63,178,292,80,137,187,19,71,327,90,367,296,390,272,63,342,125,345,0,395,201,69,186,33,342,79,366,270,101,146,339,73,177,54,311,145,371,15,386,42,219,97,236,46,310,194,180,271,301,2,181}

{1,1,1,1,1,11,2,1,1,1,1,1,1,1,1,1,1,4,2,4,1,1,3,1,1,1,1,1,3,2,1,1,2,1,23,2,13,1,1,1,1,1,1,1,1,1,1,1,5,1,4,14,1,4,1,1,1,1,1,1,3,2,2,1,1,3,1,1,1,1,5,1,2,7,1,1,1,1,5,1,1,1,12,13,1,3,1,1,1,1,1,17,2,1,1,1,1,1,2,2,1,1,1,1,1,7,2,1,4,1,6,1,1,1,1,1,1,3,1,1,1,2,1,1,1,1,1,19,1,2,3,1,1,1,17,17,24,1,1,1,1,1,1,1,1,1,4,1,2,13,1,17,1,1,4,3,1,1,1,1,4,2,1,1,7,1,1,1,2,1,1,2,1,1,1,1,1,2,1,10,1,3,1,1,6,2,1,1,1,3,3,1,1,1,1,1,1,2,1,5,2,1,1,1,1,1,10,2,1,1}

{92,1425,2511,1173,8556,110,2400,2860,4806,1980,276,3905,376,3876,603,1568,174,240,3198,56,639,4230,114,943,2444,1716,88,3975,756,700,1908,4095,24,516,69,1148,91,2425,3618,495,2950,3068,265,198,560,78,2280,1782,385,51,1056,420,207,1632,5432,858,6474,5451,5427,253,990,700,2960,8736,3477,84,6460,805,2346,5642,880,770,340,490,651,390,6862,1955,220,966,4422,1568,60,273,4505,720,4462,611,910,8536,9306,204,6,15,2924,2627,5369,630,528,2924,715,2470,6,10,415,245,418,210,420,3588,264,3196,213,8730,3690,282,4422,1860,4042,1209,790,210,462,188,4661,182,5609,57,2300,3010,780,1824,1012,470,255,255,288,616,42,3339,2201,26,96,830,2656,364,1320,1794,132,390,7990,102,4559,803,96,528,2212,1634,437,2068,72,72,221,1890,154,171,888,4606,1224,4230,3686,1692,897,396,1798,477,3285,114,714,400,5192,312,561,667,78,988,114,7081,803,24,561,1485,57,8736,568,759,1900,440,1064,630,1710,1404,249,1360,4895,4042,70,48,1095,1326}

Returns: "Solution exists"
328

{101,184,177,249,66,176,103,39,75,294,102,284,4,156,239,52,160,115,52,177,165,204,238,24,51,326,160,216,265,147,314,278,152,130,120,83,86,303,312,268,212,230,175,193,104,44,245,63,324,174,92,318,261,304,269,300,213,80,148,64,234,280,15,24,36,215,290,291,202,96,166,216,102,97,189,45,277,230,15,160,256,276,193,42,142,310,137,183,223,76,35,127,90,15,63,216,144,78,185,106,311,227,303,177,64,287,191,279,282,138,286,272,108,20,170,307,22,199,145,88,33,10,127,244,179,176,236,119,325,263,4,183,292,9,269,233,43,222,117,39,158,320,169,245,17,302,247,27,167,26,221,319,268,283,119,176,268,259,325,227,49,18,195,146,41,81,16,88,29,296,79,94,292,265,73,273,70,34,240,194,73,63,309,276,255,30,20,26,45,105,75,70,86,279,6,227,94,180,134,84,292,13,211,65,132,92,267,138,310,46,2,7,274,0,290,275,148,273,263,161,261,207,299,231,278,114,52,192,217,255,243,242,264,206,223,33,44,16,106,40,249,172,128,155,138,325,122,217,40,281,299,298,167,112,153,162,40,90,215,232,320,79,259,239,175,117,192,288,122,133,253,214,73,126,156,112,138,33,300,250,100,163,16,277}

{115,223,36,114,58,317,300,303,203,203,268,242,261,185,59,246,139,301,215,312,172,94,66,187,315,313,176,292,72,116,146,175,270,14,103,113,59,77,222,116,59,309,21,278,301,104,5,194,253,240,27,61,24,39,49,50,227,200,123,255,156,51,266,22,159,85,140,53,179,14,90,222,74,185,233,192,125,55,306,44,166,188,250,96,244,97,323,55,106,296,57,167,80,43,173,130,24,70,253,111,74,112,114,198,305,198,137,238,252,200,35,299,78,130,29,224,182,276,168,130,0,42,250,309,322,245,275,180,152,240,233,85,136,76,157,259,231,172,60,99,234,90,214,271,270,264,162,238,160,240,33,153,5,205,38,319,68,167,277,259,95,227,248,121,286,281,163,309,204,212,282,92,168,213,213,72,21,280,123,8,186,30,180,54,202,193,54,183,125,59,225,111,110,272,59,50,291,103,293,236,45,115,194,292,154,104,63,235,56,312,282,324,172,8,62,151,193,261,5,56,121,152,139,301,97,17,71,150,97,305,68,135,200,70,80,39,205,160,276,23,301,98,180,174,303,257,173,167,175,221,47,76,63,80,292,218,149,315,191,129,43,119,306,112,319,4,78,294,324,13,143,202,127,313,246,108,132,292,45,201,191,252,230,59}

{2,1,1,99,1,9,5,1,4,9,32,1,2,1,1,6,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,2,9,2,1,4,1,48,1,1,1,1,1,1,1,1,17,2,2,6,1,1,2,1,1,1,9,1,1,3,1,1,2,1,1,17,1,1,2,1,1,1,2,1,2,2,1,1,2,5,1,1,1,2,1,4,1,18,3,1,13,1,2,1,1,1,1,1,1,2,1,1,3,2,1,1,1,1,3,1,1,1,1,2,1,1,1,16,2,1,2,1,13,1,1,1,1,2,2,1,7,2,1,5,1,5,4,1,1,2,2,1,1,1,8,1,1,46,4,1,6,6,1,1,1,11,1,1,2,1,2,19,1,1,1,2,1,2,4,1,7,1,1,2,1,3,1,1,2,2,1,5,1,2,1,4,1,1,1,1,7,1,1,6,1,1,13,1,1,2,1,1,2,1,1,4,1,1,1,17,3,2,1,1,2,14,6,1,2,1,1,1,1,9,2,1,14,1,1,1,1,1,1,1,1,2,1,1,1,9,2,1,4,1,1,3,1,1,1,1,1,5,1,4,1,2,1,1,1,1,1,1,1,2,1,1,3,1,1,1,2,4,3,10,12,7,1,18,1,1,2,1}

{2784,50,192,99,3290,495,585,60,504,648,192,102,42,861,1513,30,2346,3886,174,93,315,203,3290,2300,9108,6636,3366,4361,6402,624,399,4399,1700,2240,360,1044,4361,440,3100,96,4094,418,1328,2332,6499,8051,426,258,51,736,1120,1260,966,258,1496,3510,6,5135,90,8463,1932,2574,3619,1633,2752,1305,3420,170,1027,5530,962,8900,3264,1148,700,259,752,396,4089,2822,370,1100,1188,2291,122,1204,6900,576,178,216,42,2838,130,1081,3268,5696,828,2847,697,4183,4539,60,1980,294,372,3724,3036,3572,608,2844,798,1343,3650,2112,152,52,3479,110,2492,64,420,2204,2322,1159,65,7029,1683,3854,7900,966,50,2880,588,3384,2346,550,2139,900,1064,138,828,546,12,639,306,1634,16,3290,1122,92,364,5680,96,54,2829,7920,1248,165,1264,330,88,402,900,114,2451,1927,3950,304,56,1242,736,928,196,97,32,2310,624,1170,414,132,736,602,1786,440,7189,308,1320,1472,3478,6497,1092,1833,392,6004,890,54,986,4230,13,1377,1813,1798,282,4165,1380,3104,602,468,7482,434,1760,204,1260,660,1140,9900,1980,210,42,1740,798,5300,1173,6231,1484,99,192,203,84,1092,910,120,6794,39,130,84,4482,850,4895,1599,6633,270,564,736,180,1817,2508,462,3237,2444,952,6840,2838,260,3479,56,663,1196,1276,3783,966,3772,4785,340,6640,56,511,405,561,62,1258,316,1376,924,210,100,180,196,2405,270,220,1501,550,1424}

Returns: "Solution does not exist"
314

{255,82,264,195,200,96,29,61,308,144,54,11,14,89,79,246,267,291,281,32,78,79,229,116,48,145,199,91,252,168,122,299}

{160,231,179,113,313,145,307,66,204,66,190,111,207,113,228,261,39,235,208,50,52,161,34,77,129,265,201,184,179,105,244,12}

{1,14,2,3,1,4,1,5,2,1,11,1,7,1,1,11,1,1,1,1,2,2,1,1,1,1,1,1,6,2,2,1}

{1197,420,96,57,291,168,4018,855,1400,285,693,5538,1001,66,1274,231,1476,1909,6840,3880,2088,442,7410,1683,9506,184,1065,2914,24,378,1892,3230}

Returns: "Solution exists"
5

{0, 1, 2, 3, 4 }

{1, 2, 3, 4, 0 }

{6, 6, 6, 6, 6 }

{12, 12, 12, 12, 12 }

Returns: "Solution does not exist"
3

{0 }

{1 }

{2 }

{2 }

Returns: "Solution exists"
6

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

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

{2, 2, 3, 3, 1, 2, 5, 1, 5, 1, 7, 7, 3, 5, 7 }

{30, 42, 30, 42, 210, 70, 30, 210, 70, 210, 42, 70, 105, 105, 105 }

Returns: "Solution exists"
500

{391, 462, 282, 476, 218, 306, 237, 43, 243, 349, 295, 386, 250, 449, 443, 135, 166, 93, 186, 492, 67, 158, 425, 348, 199, 42, 186, 446, 355, 60, 141, 2, 224, 248, 75, 304, 79, 299, 71, 350, 122, 37, 109, 485, 75, 272, 86, 134, 398, 453, 431, 82, 265, 494, 33, 224, 97, 442, 123, 488, 275, 353, 106, 426, 353, 461, 137, 429, 417, 449, 449, 68, 2, 82, 378, 197, 68, 488, 209, 382, 177, 371, 311, 41, 172, 397, 387, 150, 447, 233, 26, 120, 40, 253, 493, 93, 71, 198, 157, 210, 70, 20, 147, 183, 208, 57, 431, 108, 76, 96, 130, 404, 338, 123, 404, 100, 247, 106, 428, 67, 64, 421, 480, 255, 376, 415, 372, 79, 312, 37, 493, 102, 357, 313, 78, 350, 457, 322, 381, 71, 231, 345, 125, 268, 327, 256, 126, 251, 251, 291, 306, 313, 157, 161, 28, 430, 464, 181, 444, 410, 392, 156, 217, 62, 307, 200, 225, 165, 9, 215, 354, 138, 234, 70, 415, 347, 398, 229, 200, 313, 463, 215, 279, 238, 11, 332, 172, 443, 394, 295, 94, 21, 204, 233, 46, 333, 166, 216, 40, 180, 187, 17, 136, 454, 45, 447, 32, 364, 147, 27, 274, 464, 6, 405, 16, 387, 339, 149, 234, 151, 179, 374, 213, 375, 19, 327, 462, 472, 292, 290, 182, 25, 361, 474, 169, 404, 305, 391, 411, 156, 494, 261, 378, 223, 275, 377, 430, 196, 211, 472, 428, 326, 378, 399, 128, 4, 283, 119, 389, 394, 365, 300, 239, 111, 64, 456, 247, 396, 490, 294, 19, 390, 170, 46, 46, 123, 477, 89, 219, 270, 470, 203, 60, 411, 268, 14, 112, 399, 272, 375, 142, 469, 242, 461, 300, 251, 21, 266, 362, 316, 298, 2, 149, 42, 459, 416, 16, 165, 31, 130, 45, 183, 332, 275, 383, 454, 219, 22, 487, 349, 102, 340, 23, 242, 338, 34, 52, 6, 277, 193, 1, 118, 173, 195, 161, 453, 337, 496, 286, 303, 140, 493, 300, 50, 62, 12, 51, 388, 156, 368, 52, 83, 257, 415, 132, 72, 1, 177, 78, 425, 489, 302, 184, 69, 407, 296, 364, 181, 73, 180, 428, 114, 406, 141, 130, 408, 358, 383, 275, 195, 320, 49, 252, 217, 9, 369, 258, 421, 66, 279, 455, 354, 7, 336, 384, 467, 257, 301, 408, 410, 24, 182, 341, 480, 62, 417, 266, 479, 223, 217, 115, 437, 30, 489, 70, 46, 446, 424, 410, 250, 294, 43, 167, 280, 74, 78, 307, 272, 481, 323, 22, 6, 317, 255, 247, 388, 92, 190, 55, 159, 7, 15, 118, 2, 19, 121, 122, 262, 205, 175, 438, 374, 214, 45, 162, 422, 195, 269, 6, 268, 483, 84, 410, 181, 340, 332, 284, 409, 480, 101, 48, 260, 196, 278, 2, 44, 58, 486, 246, 255, 291, 401, 448, 48, 203, 204, 134, 459, 348, 277, 77, 467, 486, 133, 457, 133, 207, 271, 215, 444 }

{392, 463, 283, 477, 219, 307, 238, 44, 244, 350, 296, 387, 251, 450, 444, 136, 167, 94, 187, 493, 68, 159, 426, 349, 200, 43, 187, 447, 356, 61, 142, 3, 225, 249, 76, 305, 80, 300, 72, 351, 123, 38, 110, 486, 76, 273, 87, 135, 399, 454, 432, 83, 266, 495, 34, 225, 98, 443, 124, 489, 276, 354, 107, 427, 354, 462, 138, 430, 418, 450, 450, 69, 3, 83, 379, 198, 69, 489, 210, 383, 178, 372, 312, 42, 173, 398, 388, 151, 448, 234, 27, 121, 41, 254, 494, 94, 72, 199, 158, 211, 71, 21, 148, 184, 209, 58, 432, 109, 77, 97, 131, 405, 339, 124, 405, 101, 248, 107, 429, 68, 65, 422, 481, 256, 377, 416, 373, 80, 313, 38, 494, 103, 358, 314, 79, 351, 458, 323, 382, 72, 232, 346, 126, 269, 328, 257, 127, 252, 252, 292, 307, 314, 158, 162, 29, 431, 465, 182, 445, 411, 393, 157, 218, 63, 308, 201, 226, 166, 10, 216, 355, 139, 235, 71, 416, 348, 399, 230, 201, 314, 464, 216, 280, 239, 12, 333, 173, 444, 395, 296, 95, 22, 205, 234, 47, 334, 167, 217, 41, 181, 188, 18, 137, 455, 46, 448, 33, 365, 148, 28, 275, 465, 7, 406, 17, 388, 340, 150, 235, 152, 180, 375, 214, 376, 20, 328, 463, 473, 293, 291, 183, 26, 362, 475, 170, 405, 306, 392, 412, 157, 495, 262, 379, 224, 276, 378, 431, 197, 212, 473, 429, 327, 379, 400, 129, 5, 284, 120, 390, 395, 366, 301, 240, 112, 65, 457, 248, 397, 491, 295, 20, 391, 171, 47, 47, 124, 478, 90, 220, 271, 471, 204, 61, 412, 269, 15, 113, 400, 273, 376, 143, 470, 243, 462, 301, 252, 22, 267, 363, 317, 299, 3, 150, 43, 460, 417, 17, 166, 32, 131, 46, 184, 333, 276, 384, 455, 220, 23, 488, 350, 103, 341, 24, 243, 339, 35, 53, 7, 278, 194, 2, 119, 174, 196, 162, 454, 338, 497, 287, 304, 141, 494, 301, 51, 63, 13, 52, 389, 157, 369, 53, 84, 258, 416, 133, 73, 2, 178, 79, 426, 490, 303, 185, 70, 408, 297, 365, 182, 74, 181, 429, 115, 407, 142, 131, 409, 359, 384, 276, 196, 321, 50, 253, 218, 10, 370, 259, 422, 67, 280, 456, 355, 8, 337, 385, 468, 258, 302, 409, 411, 25, 183, 342, 481, 63, 418, 267, 480, 224, 218, 116, 438, 31, 490, 71, 47, 447, 425, 411, 251, 295, 44, 168, 281, 75, 79, 308, 273, 482, 324, 23, 7, 318, 256, 248, 389, 93, 191, 56, 160, 8, 16, 119, 3, 20, 122, 123, 263, 206, 176, 439, 375, 215, 46, 163, 423, 196, 270, 7, 269, 484, 85, 411, 182, 341, 333, 285, 410, 481, 102, 49, 261, 197, 279, 3, 45, 59, 487, 247, 256, 292, 402, 449, 49, 204, 205, 135, 460, 349, 278, 78, 468, 487, 134, 458, 134, 208, 272, 216, 445 }

{1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 13, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 26, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 13, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 52, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 13, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 26, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 13, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 29, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 29, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 29, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 4, 5, 2 }

{24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 82, 126, 172, 220, 270, 322, 376, 432, 490, 550, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231 }

Returns: "Solution does not exist"
2

{0 }

{1 }

{1234 }

{5678 }

Returns: "Solution does not exist"

Statistics

Problem Statement for "GCDLCMEasy"

Problem Statement

Definition

Notes

Constraints

Examples