TopCoder Statistics - Problem Statement

Problem Statement

Treeland is a country with n cities, numbered 0 through n-1. Obviously, the topology of Treeland is a tree: there are exactly n-1 bidirectional roads, each connecting two cities in such a way that it is possible to travel from any city to any other city. You are given the description of the road network: the int[] p with n-1 elements. For each valid index i, there is a road that connects the cities i+1 and p[i]. The distance between two cities is the smallest number of roads you need to use in order to travel from one city to the other.

Rabbit Hanako had a trip in Treeland. She started her trip on day 0 in the city x[0] = 0. On each of the following m days she chose a city x[i] (possibly the same as her current city) and traveled there by using the only direct route. Each day she wrote down the distance she traveled - i.e., on day i she wrote down the distance d[i] between the cities x[i-1] and x[i]. After the trip was over, she constructed a set D that contained all values d[i] she wrote down.

For example, if d[1], d[2], ..., d[m] are {1, 0, 0, 1, 3, 5, 0} then the set D will be {0, 1, 3, 5}.

You know that Hanako's trip had the form described above, but you don't know the value m and the values x[i]. You are given a int[] S. Check whether it is possible that S = D. In other words, check whether there are values m and x[1] ... x[m] such that the set of distances D will contain exactly the same elements as the given int[] S.

Return "Possible" if such a trip exists and "Impossible" if it does not.

Definition

Class:: JumpDistancesOnTree
Method:: isPossible
Parameters:: int[], int[]
Returns:: String
Method signature:: String isPossible(int[] p, int[] S)
(be sure your method is public)

Constraints

p will contain between 1 and 2,000 elements, inclusive.
For each i, 0 <= p[i] <= i.
S will contain between 1 and 2,000 elements, inclusive.
Each element in S will be between 0 and |p|, inclusive.
For each i, S[i] < S[i+1].

Examples

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

{2,4}

Returns: "Possible"

The tree looks as follows: 0 / \ 1 4 / \ / \ 2 3 5 6 One valid trip has m = 4 and x = {0, 2, 3, 6, 5}. For this trip the distances traveled are {2, 2, 4, 2}, and thus the set of all distances D is exactly {2, 4}, as required.
{0,1,1,0,4,4}

{1,2,3,4,5}

Returns: "Impossible"

The maximal possible distance between any two cities is 4, so you will never have 5 in D.
{0,1,1,0,4,4}

{3,4}

Returns: "Impossible"
{0,1,2,3,4,0,6,7,8,9}

{2,4,6,8,10}

Returns: "Impossible"
{0}

{1}

Returns: "Possible"
{0,1,2,3,4,0,6,7,8,9}

{2,4,5,6,8,10}

Returns: "Possible"
{0,1,2,3,3,4,5,2,5,5,1,2,4,0,3,4,2,5,3,7,5,20,19,8,17,7,2,19,6,12,29,28,8,21,13,7,14,17,32,10,28,14,13,8,37,44,15,10,31,27,9,2,9,37,12,44,4,39,42,39,4,10,34,44,35,8,65,55,2,4,46,71,11,48,18,23,41,39,41,66,32,70,58,59,5,32,36,72,45,83,64,65,33,19,89,74,6,10,74,26,11,60,8,22,65,15,72,86,16,94,16,82,33,52,100,25,91,40,37,15,84,92,107,118,99,65,125,72,17,63,117,104,123,91,98,82,60,52,98,136,42,69,126,12,27,45,110,56,47,128,9,6,121,134,54,28,130,102,155,91,67,121,70,145,142,54,108,64,107,130,152,7,36,33,97,52,137,109,41,96,109,132,80,104,156,172,138,121,43,16,177,54,175,164,121,169,66,68,144,124,102,157,110,70,54,81,79,96,167,3,4,137,40,96,75,98,159,127,33,203,2,36,156,143,73,195,209,8,211,130,5,97,69,43,213,126,224,4,5,178,60,161,201,152,166,98,112,8,68,34,136,236,61,174,150,23,247,154,154,239,208,211,64,212,189,226,115,85,49,47,57,94,103,49,113,219,193,17,128,117,110,226,162,63,79,129,229,133,103,129,121,164,136,82,197,150,28,197,69,97,26,27,44,48,1,149,101,89,153,139,79,123,235,24,30,101,224,164,217,111,14,99,129,2,233,227,186,240,129,108,154,121,149,17,234,165,63,6,230,80,7,195,105,246,78,198,127,14,211,99,108,180,23,225,100,77,21,137,178,209,23,133,69,73,164,26,233,107,177,124,251,11,86,118,78,22,28,162,157,37,136,201,77,107,29,67,37,89,219,116,68,65,180,249,81,12,188,17,78,31,46,152,68,187,135,67,158,245,59,226,83,201,188,211,11,43,63,189,199,7,19,167,82,138,234,173,8,54,60,235,95,197,59,44,128,162,202,134,22,34,184,9,78,55,9,112,86,131,233,191,156,188,44,215,84,218,209,215,202,183,146,194,157,183,95,119,181,238,80,63,88,240,183,120,150,94,126,177,79,223,69,211,65,117,151,155,187,248}

{71,100,220,250}

Returns: "Impossible"
{0,1,0,3,4,3,1,3,2,6,6,0,10,13,1,9,1,3,3,12,10,12,2,11,4,23,5,1,13,21,2,19,3,18,31,13,24,37,35,3,22,32,42,36,17,13,38,2,11,2,24,34,20,19,14,23,36,22,56,2,39,1,4,44,60,16,58,31,0,13,52,35,15,26,46,74,65,22,67,20,59,8,11,57,44,16,36,21,8,55,56,69,60,1,51,64,68,63,90,24,85,34,12,48,45,9,83,107,39,96,22,99,78,69,96,1,106,80,91,49,11,9,115,46,83,51,5,18,63,70,106,21,11,38,50,92,16,11,4,30,60,66,99,3,91,111,4,52,25,142,15,14,130,41,77,91,70,114,92,104,36,86,41,37,28,50,75,60,121,43,106,29,53,46,104,152,136,45,147,79,163,98,68,58,43,20,10,81,183,126,33,70,116,191,39,5,118,163,84,85,150,8,165,100,159,116,173,70,91,187,61,68,149,170,13,128,207,132,193,30,153,211,143,78,176,89,143,225,28,65,206,137,22,156,200,0,71,17,56,17,37,216,187,7,194,1,90,132,244,191,87,250,186,57,195,165,204,134,167,52,123,118,82,38,125,240,58,221,207,246,20,109,159,235,191,147,228,215,212,66,91,170,186,168,13,254,258,175,27,74,217,130,179,94,235,238,247,148,51,42,139,145,112,30,182,170,79,29,266,307,55,254,25,244,249,149,272,8,280,208,212,283,140,304,234,104,84,279,153,76,104,215,201,116,325,88,240,56,307,169,248,102,200,180,242,43,334,177,61,307,75,172,303,114,164,46,146,6,254,339,313,342,73,189,273,23,298,224,124,245,265,305,324,32,253,240,246,73,204,158,132,78,206,231,312,338,302,331,375,4,222,376,233,228,373,324,89,219,192,168,208,377,214,260,174,279,327,231,113,265,103,335,336,56,346,38,121,115,0,332,379,12,114,161,386,122,209,291,381,247,121,85,275,100,12,216,182,157,128,139,327,386,282,86,373,70,224,75,210,39,254,432,204,296,174,17,314,255,88,383,31,383,77,75,268,392,132,49,310,79,255,185,6,224,337,475,386,91,28,347,363,102,284,176,401,110,342,382,245,388,71,267,76,490,460,111,174,409,325,236,193,395,66,221,409,100,410,439,411,68,120,91,362,418,137,151,5,217,315,243,175,56,186,404,345,42,212,499,54,428,420,213,65,273,364,163,510,403,40,38,433,287,507,157,20,208,339,72,495,373,230,324,446,16,328,210,425,465,23,110,80,371,249,136,65,339,404,252,475,196,181,404,354,485,357,457,327,110,442,98,513,42,9,121,424,223,191,238,341,475,352,169,348,440,354,36,9,141,145,275,349,336,16,185,278,266,332,145,430,4,452,89,194,375,39,458,452,227,85,501,181,513,436,475,249,462,438,381,368,295,351,508,252,310,313,169,330,99,309,158,13,359,106,356,224,177,275,39,193,54,50,222,388,462,110,393,443,160,94,151,501,424,98,77,334,221,56,203,16,227,222,452,168,103,190,494,507,49,215,347,416,22,403,251,474,178,202,288,317,396,485,18,357,163,142,167,378,308,80,51,141,102,510,71,182,157,316,186,376,307,270,242,338,54,504,382,432,399,213,300,177,199,195,85,446,344,402,119,407,433,386,336,488,145,260,307,273,235,85,367,276,340,315,152,126,405,183,313,291,110,461,479,276,425,339,320,482,378,248,427,147,434,309,152,410,185,385,139,98,444,89,278,362,341,183,111,437,405,272,448,90,271,421,485,259,495,478,261,272,257,475,128,413,439,118,236,358,434,191,282,425,181,300,449,130,148,151,409,460,445,206,248,191,382,190,467,241,200,255,445}

{170,178,190,196,199,207,208,211,221,237,248,249,250,260,266,275,278,279,288,291,292,298,302,307,311,317,318,323,332,335,336,338,343,349,350,351,352,361,362,365,369,372,379,381,383,395,399,400,406,408,436,443,447,455,467,468,473,477,478,480,486,495,496,498,503,506,515,522,534,545,549,553,562,563,565,567,568,572,578,580,587,593,594,600,605,606,610,611,618,619,620,625,631,632,641,643,648,659,664,674,675,680,683,684,686,706,710,712,713,714}

Returns: "Impossible"
{0,1,0,1,4,1,1,0,1,1,4,0,12,11,13,11,13,16,6,2,15,10,12,11,12,18,21,21,6,1,6,25,0,32,29,20,35,21,10,29,16,10,20,37,44,26,26,46,30,13,24,18,39,45,40,9,43,5,2,18,35,21,25,7,7,11,13,39,35,47,58,25,16,3,11,15,43,30,20,13,33,62,39,24,35,56,27,56,86,47,12,22,48,86,61,11,26,96,59,82,44,76,48,15,37,30,56,38,49,3,105,91,85,12,2,85,67,43,14,59,57,40,57,13,67,48,47,56,44,57,45,36,60,30,100,4,91,21,49,71,13,135,83,136,49,77,28,2,94,26,43,68,2,9,79,124,104,137,11,14,22,18,136,29,81,20,44,140,104,16,147,42,0,26,135,51,153,10,135,90,111,72,7,131,13,173,132,150,178,185,153,15,2,142,194,9,140,86,30,1,135,176,86,32,173,177,164,170,179,130,144,102,203,27,36,111,108,132,184,93,32,54,18,44,71,134,65,35,97,79,145,165,44,134,186,89,164,187,98,127,161,240,152,170,177,159,219,67,118,173,77,84,190,67,213,107,233,214,162,118,185,9,22,203,99,247,59,180,6,31,161,136,37,98,132,98,244,30,174,124,40,16,228,89,54,97,91,207,266,226,83,39,161,103,292,215,59,202,96,130,284,212,238,153,180,227,114,94,96,41,136,37,48,251,145,286,64,138,36,93,187,167,215,78,18,315,79,261,195,236,97,327,150,222,209,212,160,243,101,73,28,118,321,162,227,189,259,276,302,5,135,56,31,42,186,147,345,356,36,298,63,125,218,59,45,33,347,367,15,75,280,272,250,76,365,255,301,358,168,286,72,104,104,260,22,344,156,149,71,134,47,281,251,61,57,314,381,295,325,45,192,200,157,163,3,265,100,1,88,8,366,250,12,303,174,133,39,229,66,281,237,270,197,294,41,13,109,231,164,341,157,51,134,363,210,402,133,26,361,307,137,400,108,54,375,64,382,255,243,24,137,424,267,256,163,238,278,20,423,327,385,356,57,20,436,381,212,368,34,303,295,449,418,420,120,411,152,466,424,407,34,199,131,19,350,67,68,404,235,25,95,101,473,101,271,156,366,52,79,278,146,297,287,75,305,182,30,170,244,143,238,57,59,195,38,185,172,183,227,58,220,152,444,231,465,224,268,202,321,205,189,95,113,81,252,248,323,255,93,236,489,381,114,404,365,397,432,238,224,295,399,532,507,252,474,477,330,316,479,361,136,116,470,232,157,338,343,381,455,333,440,425,533,468,484,488,397,521,306,324,457,395,484,364,446,500,392,382,378,428,425,512,120,513,388,276,384,238,139,226,150,152,321,401,406,249,240,509,196,373,425,389,228,212,414,410,176,224,403,310,232,451,466,341,287,460,397,268,238,485,525,437,514,387,443,419,434,457,455,521,202,332,354,220,274,533,387,235,420,203,362,464,342,422,297,551,224,360,515,389,425,273,493,459,503,308,219,439,419,412,550,543,223,486,276,487,340,352,488,476,333,356,226,300,522,329,304,339,395,362,236,299,450,495,274,317,228,355,537,472,281,546,537,318,306,398,487,292,527,407,451,264,435,550,439,439,447,377,258,403,521,471,376,383,511,267,514,522,538,322,311,537,355,550,268,529,378,451,498,497,304,316,378,403,414,347,372,501,455,456,528,529,529,470,485,337,340,287,523,354,463,299,457,519,516,307,483,552,497,338,395,360,442,525,341,513,317,426,362,384,365,482,326,384,452,321,392,416,402,335,536,393,344,411,321,468,518,527,459,413,516,524,445,379,359,342,449,441,429,538,504,365,406,409,359,521,478,467,456,378,432,468,466,459,459,451,385,359,379,535,517,534,419,393,499,479,435,525,368,527,389,446,498,476,515,520,441,463,442,424,478,417,455,476,500,456,523,504,434,488,473,408,519,520,430,511,449,502,415,535,415,424}

{612,614,621,670,672,681,683,686,693,694,700,704,705,713,724,731,742,753,758,775,777}

Returns: "Impossible"
{0,0,1,2,3,5,6,5,6,3,1,7,1,10,2,7,6,9,12,9,20,12,7,7,8,22,1,25,10,15,6,7,3,33,4,15,21,12,25,0,25,36,27,25,6,12,23,23,45,2,14,31,46,15,54,36,46,38,7,38,44,53,49,40,30,9,7,47,3,41,21,28,4,51,64,30,6,12,43,70,66,18,18,54,17,71,46,36,4,74,0,61,83,28,37,64,11,39,82,5,57,51,4,28,89,10,93,23,1,34,50,21,38,110,98,112,94,114,28,106,114,36,37,116,36,20,50,100,128,91,122,21,16,95,16,69,135,71,7,139,111,68,131,91,85,48,47,139,84,28,86,139,55,110,87,5,7,16,42,72,34,8,105,140,53,55,115,99,93,87,109,130,152,23,9,26,41,33,143,154,7,132,173,19,90,66,116,43,111,172,153,95,53,170,156,152,39,82,148,153,94,50,79,116,192,2,31,54,37,109,9,29,106,201,144,69,41,137,182,139,128,95,139,94,186,41,95,147,215,153,26,36,96,142,25,141,214,11,6,101,71,98,24,128,65,147,21,126,150,67,169,19,76,77,59,249,75,213,63,228,84,109,35,40,199,71,78,242,18,256,67,89,117,163,185,32,102,112,152,241,167,102,13,216,168,251,119,35,29,269,131,267,101,9,99,248,226,225,246,77,34,202,106,182,153,61,192,11,215,190,102,276,179,313,171,111,5,60,32,209,228,139,315,24,193,268,132,218,116,298,264,12,249,297,85,18,120,324,60,239,245,212,76,177,300,306,257,19,36,118,74,183,62,196,108,291,14,251,339,169,318,8,231,362,251,146,133,190,323,233,168,254,15,81,275,336,6,284,111,179,350,150,182,63,348,37,159,231,326,191,301,255,58,122,375,209,122,114,233,164,373,109,282,395,276,356,27,28,194,241,161,156,163,168,340,311,263,295,265,222,125,370,317,370,69,321,346,104,242,281,122,359,207,133,260,9,390,341,203,149,120,294,47,442,236,20,241,190,280,4,328,56,231,243,217,339,108,122,170,131,418,443,354,410,96,177,391,35,209,267,367,440,194,445,391,119,135,118,448,343,383,149,32,264,14,6,431,129,104,183,154,255,339,277,489,114,391,409,135,143,359,297,266,433,62,312,79,126,370,254,263,391,392,493,367,384,246,292,139,493,179,106,185,514,23,384,350,82,349,99,161,180,354,199,157,11,344,374,432,159,66,294,127,113,357,225,379,235,255,128,39,54,360,346,135,325,415,50,484,465,287,31,385,206,197,239,365,44,220,408,105,203,547,375,150,188,168,198,266,253,546,451,166,368,30,328,423,292,191,584,13,241,449,78,231,534,252,507,502,58,332,17,388,520,404,306,482,33,537,421,149,145,439,572,503,445,144,445,542,164,107,30,304,47,73,409,191,71,358,2,251,283,335,514,473,348,381,540,413,478,407,205,77,551,189,634,401,207,602,246,82,351,169,282,24,191,354,506,76,264,441,581,612,459,461,165,168,568,576,118,446,230,207,498,124,372,33,534,514,186,559,521,290,38,556,156,510,102,511,224,155,662,383,239,578,222,229,120,147,286,216,212,457,495,578,107,420,692,178,47,254,153,560,462,199,176,200,93,485,565,629,667,226,48,260,658,57,655,417,7,623,85,578,646,208,715,711,240,213,226,599,417,484,130,504,361,161,73,491,198,391,291,84,353,581,59,315,115,167,548,548,566,343,662,147,303,217,720,456,180,126,2,723,51,116,599,142,588,105,202,555,682,606,291,179,153,77,378,780,308,769,743,573,668,88,412,407,550,259,496,309,379,326,68,34,614,261,317,666,355,449,459,495,306,646,617,401,713,356,289,172,424,462,677,350,384,422,88,284,170,93,800,433,28,215,696,425,336,720,308,525,614,53,164,772,40,204,575,551,540,52,515,760,428,517,156,735,247,446,726,375,393,340,324,595,839,289,66,357}

{532,534,537,540,550,552,554,563,570,571,573,575,576,583,588,590,594,595,602,604,606,607,608,609,613,616,627,631,632,633,634,635,636,642,645,647,648,650,655,656,657,662,666,667,673,685,688,693,694,697,698,701}

Returns: "Impossible"
{0,0,1,2,2,0,6,5,7,4,6,6,12,4,10,14,14,17,8,9,2,8,4,0,7,24,8,19,22,7,9,22,22,20,5,29,10,24,18,17,19,5,20,27,19,2,35,32,16,11,46,11,19,22,14,5,33,5,18,47,26,19,61,7,44,23,12,62,26,52,7,26,33,53,17,47,70,27,49,40,44,44,25,75,19,32,32,75,67,73,50,15,6,71,15,31,40,47,5,47,42,27,63,44,27,1,62,100,78,46,38,26,80,8,94,90,93,18,37,52,82,113,119,63,109,63,51,101,58,58,4,18,15,52,29,37,13,103,107,95,12,37,92,75,48,99,131,49,4,147,66,11,132,42,93,91,25,144,2,26,104,62,111,17,48,142,145,109,165,108,92,143,157,59,27,65,137,26,24,119,96,169,155,63,108,59,30,37,36,171,131,6,69,172,148,169,191,61,45,124,57,45,165,113,154,94,149,76,48,103,25,68,28,97,138,7,14,76,68,23,144,17,159,149,14,123,225,144,118,165,58,106,182,165,45,148,56,109,212,147,222,131,110,116,78,238,75,88,54,190,60,200,30,8,164,154,133,221,49,1,144,204,255,243,73,114,119,56,261,245,252,138,124,194,207,146,108,205,89,262,206,141,46,213,213,179,208,104,66,125,35,257,228,19,161,163,205,58,40,290,112,59,149,85,293,180,101,42,15,307,104,213,185,72,226,269,2,73,65,85,257,192,300,38,114,31,125,302,156,322,173,217,6,123,41,56,172,250,206,85,146,226,277,209,235,299,100,153,201,46,321,51,99,344,153,228,245,224,148,16,244,54,122,22,336,328,257,215,293,259,270,238,108,105,228,158,306,170,334,63,274,126,332,215,146,287,193,157,376,337,389,261,67,274,95,132,340,13,198,358,266,182,319,57,375,289,82,400,106,171,349,258,48,351,227,277,154,53,30,176,77,299,183,65,236,197,402,231,339,118,198,344,380,262,321,87,331,252,264,26,203,438,300,183,399,181,171,65,52,142,124,442,44,443,352,303,442,409,353,316,253,406,28,307,134,126,30,380,409,465,104,402,121,390,320,64,86,358,384,79,422,345,328,42,359,143,78,359,176,354,196,94,378,387,161,173,459,168,40,279,458,308,404,350,340,119,439,41,354,303,449,487,407,280,220,361,487,250,313,70,436,132,375,78,188,312,132,255,386,173,484,488,327,425,391,325,256,471,427,443,401,145,513,169,500,271,476,176,89,325,334,469,378,401,185,521,213,251,400,246,509,476,476,108,134,321,189,449,475,483,157,364,165,147,401,231,142,302,124,373,548,512,324,253,307,238,411,138,505,573,206,213,419,302,493,466,395,150,465,285,399,193,361,256,440,262,396,294,486,173,346,397,445,433,221,579,164,569,246,197,391,345,299,351,582,327,343,404,261,361,186,597,520,194,261,618,268,235,529,226,424,252,336,327,299,614,515,545,548,224,495,580,447,211,422,607,310,595,354,395,285,261,458,349,605,284,628,419,416,235,274,404,557,560,265,443,502,332,483,339,560,613,465,228,674,348,642,341,422,584,500,226,574,633,376,606,360,688,582,365,346,654,269,619,657,260,519,495,612,707,625,555,321,283,501,651,522,306,567,327,676,510,450,405,535,594,462,675,420,429,675,710,508,320,469,619,314,691,319,527,440,491,684,605,508,652,442,415,711,314,499,337,438,428,385,509,428,334,499,517,330,528,426,458,299,710,398,500,466,658,445,370,694,763,559,662,625,359,344,350,740,707,708,531,696,545,737,742,768,745,393,444,446,775,604,507,429,676,526,488,469,515,636,485,672,780,404,638,486,487,504,799,793,596,354,587,414,572,795,487,390,528,562,365,815,432,760,759,474,529,748,686,407,806,414,582,499,600,691,455,431,414,829,445,823,754,393,830,645,521,484,565,617,731,828,595,408,844,612,586,538,541,649,731,629,710,745,521,408,588,428,586,626,817,414,517,469,653,445,531,456,503,443,535,711,730,440,790,850,458,618,664,537,817,666,812,705,533,685,651,524,621,498,471,698,848,568,672,480,512,481,820,465,688,463,467,770,790,514,767,777,831,583,641,780,859,733,543,527,870,583,826,794,805,497,789,561,867,860,795,491,692,570,552,513,849,491,819,821,601,873,582,681,539,679,879,702,496,718,635,541,833,576,782,509,565,559,608,749,773,670,532,824,696,857,557,855,672,710,652,544,663,822,576,707,754,544,773,540,706,675}

{622,623,624,625,626,627,628,629,630,631,632,633,634,635,637,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,657,660,661,662,663,664,666,667,668,669,670,672,673,674,675,676,677,678,679,681,682,683,687,688,689,692,693,694,695,696,697,698,699,700,702,703,704,705,707,708,709,710,711,712,713,715,716,717,718,719,720,722,723,725,726,727,728,729,730,731,732,733,734,735,737,738,739,740,741,742,743,744,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,764,766,767,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,803,805,806,807}

Returns: "Impossible"
{0,1,2,0,0,5,0,6,1,1,7,11,4,3,6,4,8,6,5,9,5,16,3,5,19,1,17,1,25,3,29,5,23,29,3,3,19,22,23,7,31,31,7,15,16,35,9,34,25,5,8,4,14,8,37,39,50,52,7,20,38,47,34,41,50,0,31,26,53,34,27,9,54,61,12,2,24,57,50,50,62,6,11,55,70,66,24,59,9,64,3,59,10,13,39,38,93,69,50,37,20,72,19,46,90,49,35,64,33,45,13,38,30,68,86,62,91,91,12,118,29,84,51,83,92,92,1,111,128,90,93,69,98,124,74,115,16,89,54,80,52,34,32,112,92,100,38,133,8,60,42,35,29,61,133,15,87,126,107,113,121,20,105,53,91,47,69,116,50,39,78,59,116,41,84,97,136,122,111,60,132,54,42,80,91,138,48,101,110,129,52,116,68}

{45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,64,66,67}

Returns: "Impossible"
{0,1,2,0,3,1,6,5,7,9,8,2,4,5,6,1,3,7,16,7,9,13,22,10,18,21,15,25,5,15,12,11,3,24,12,12,19,12,33,20,8,23,26,6,19,35,10,37,42,46,22,14,47,25,30,45,42,33,36,21,32,42,54,27,25,44,34,67,58,44,68,61,55,63,60,49,74,66,60,65,67,55,50,71,70,57,65,86,80,50,50,87,63,54,55,90,85,92,94,75,92,81,78,88,99,65,103,88,88,77,83,102,90,74,88,107,85,112,114,118,82,117,89,106,90,108,88,101,103,119,97,113,106,127,106,114,132,132,118,105,103,110,140,120,111,122,117,116,146,127,144,133,136,143,117,148,153,142,123,141,156,124,146,135,131,127,150,151,149,154,159,162,133,149,156,175,142,174,177,152,163,179,160,173,173,171,180,156,160,152,174,183,154,163,172,160,163,181,180,182,200,161,175,182,199,203,202,185,205,185,197,181,186,205,206,192,201,216,203,212,209,213,218,204,194,197,187,214,205,211,221,194,192,210,199,227,230,202,198,221,227,210,222,210,213,215}

{179,180,181}

Returns: "Impossible"
{0,1,2,2,1,0,4,2,7,9,10,7,12,2,10,7,2,2,1,19,5,10,22,15,19,6,9,15,10,27,4,24,31,5,19,21,7,10,8,12,25,41,30,24,42,25,37,44,31,39,1,18,47,14,49,38,14,47,28,39,10,54,46,49,13,20,30,19,56,2,43,44,69,34,20,72,49,19,28,42,47,47,5,42,60,59,32,80,15,49,87,76,50,33,84,21,18,65,46,69,86,78,77,97,10,94,91,107,19,55,110,0,11,4,107,100,65,82,114,77,59,35,78,44,3,47,79,104,102,45,103,125,118,108,74,128,77,15,110,13,13,47,54,57,139,6,130,75,11,78,62,135,67,106,97,33,89,152,81,96,68,54,26,115,148,128,126,150,107,137,69,66,95,141,154,122,17,1,81,97,126,17,163,138,50,75,66,67,160,189,12,3,65,54,38,55,98,172,63,102,80,38,35,102,93,87,42,71,206,156,99,0,134,14,106,129,145,20,147,66,197,104,20,51,76,47,186,117,93,22,2,205,15,18,65,137,173,164,141,211,63,77,38,150,100,210,132,24,2,201,36,251,26,188,226,84,139,80,132,9,42,134,124,22,152,234,31,239,256,259,137,114,227,28,6,261,131,259,142,4,26,239,215,12,75,220,45,108,204,128,102,157,236,55,231,41,162,195,207,173,112,29,31,216,187,221,166,219,194,121,110,136,92,237,272,99,316,271,248,319,226,142,230,109,309,216,203,213,324,327,305,210,262,198,98,173,132,299,126,106,70,128,99,167,324,300,225,290,179,241,292,242,327,106,110,202,271,288,184,346,207,316,183,173,338,102,175,91,185,255,230,201,367,111,254,253,122,199,210,297,234,172,361,277,141,307,284,351,153,290,258,381,167,154,145,278,392,177,178,132,249,242,359,264,386,195,197,215,387,207,156,365,191,202,226,246,302,330,362,172,268,208,196,197,243,282,271,214,397,364,361,228,395,240,416,253,399,415,367,311,172,262,191,407,421,441,231,192,199,252,360,252,223,343,190,243,399,197,215,244,398,241,212,288,230,436,427,356,385,427,454,352,360,399,382,207,304,299,452,222,389,398,291,353,326,237,322,412,439,211,415,429,244,279,427,220,302,432,477,337,315,270,291,336,468,369,432,404,327,449,485,395,501,417,499,239,469,321,383,386,455,415,295,298,367,307,313,374,467,288,516,480,476,413,298,278,424,357,399,367,320,433,485,479,309,373,410,275,448,427,287,397,380,295,308,357,332,394,379,287,461,485,430,486,293,390,378,382,308,340,377,354,454,391,517,334,431,363,435,387,497,484,334,316,468,470,373,458,321,499,380,441,446,335,383,417,437,441,407,407,482,432,389,465,460,335,414,413,363,496,458,492,497,423,383,423,368,386,389,472,481,437,471,423,473,491,429,458,516,390,411,508,422,385,365,467,358,451,486,433,446,482,364,411,446,444,498,478,483,476,495,410,494,496,490,399,400,459,461,400,470,422,406,400,458,460,462,492,461,434,431,402,424,507,435,479,504,458,465,512,430,493,412,428,478,408,421,408,466,487,446,417,423,489,425,482,421,440,465,504,510,499,490,494,495,491,431,480,452,461,515,514,483,441,456,487,514,455,462,500,463,503,473,458,450,471,448,483,469,515,456,465,513,502,476,509,466,465,507,500,464,517,469,513,516,493,477,472,475,513,498,483,482,474,492,496,507,510,508,497,516,483,516}

{69,70,71,72,73,76,77,78,80,81,82,83,84,86,88,89,92,96,99,100,101,102,103,105,109,111,112,113,115,117,118,119,120,121,123,124,125,126,127,128,129,134,135,136,137,141,142,144,145,147,148,149,150,152,155,157,163,166,167,170,173,174,179,187,188,189,190,191,192,193,196,197,199,201,202}

Returns: "Impossible"
{0,0,1,3,0,5,3,6,7,1,9,6,10,7,10,14,6,10,2,12,17,5,1,0,4,20,24,15,11,9,3,20,15,6,22,0,8,0,11,12,32,6,13,10,7,36,40,20,36,5,29,28,14,41,45,34,36,45,22,19,27,42,1,11,4,29,1,39,46,19,2,54,44,52,26,13,34,2,68,39,45,37,57,30,32,27,65,73,22,2,89,85,73,24,0,40,26,56,28,39,34,99,29,96,1,32,102,58,97,70,101,1,85,113,87,95,12,46,18,86,113,24,101,64,42,72,4,8,24,24,115,59,127,86,27,39,6,9,129,117,60,1,47,17,130,137,122,15,87,85,115,129,120,56,150,59,2,151,1,17,118,23,158,99,26,108,139,95,17,154,7,93,95,145,166,171,115,171,100,37,10,89,122,63,38,163,157,94,116,10,78,165,126,50,37,44,112,22,88,196,47,93,85,167,41,57,63,147,31,21,48,34,90,92,24,92,9,2,14,12,62,59,116,42,182,58,224,54,194,35,49,2,203,56,150,218,184,119,10,157,72,53,127,145,209,40,230,220,200,219,175,58,186,166,199,2,205,131,175,128,125,12,231,190,198,216,134,227,186,5,244,93,207,83,64,119,265,252,79,11,231,266,177,15,237,198,219,275,188,194,251,39,134,46,83,282,233,232,160,81,55,18,54,40,112,115,37,3,292,55,195,94,152,246,204,67,125,235,220,192,179,301,237,162,113,255,231,58,297,311,172,159,140,324,155,164,85,63,163,251,261,222,311,123,56,184,66,172,231,209,132,329,68,168,92,131,333,295,64,53,216,327,354,148,210,242,281,303,189,102,247,359,334,104,332,336,358,155,172,343,73,342,360,173,243,324,165,310,207,236,105,234,90,366,307,192,143,323,194,242,234,374,118,205,381,110,190,344,342,378,398,222,240,271,199,388,149,138,328,364,389,181,251,114,204,333,213,410,425,323,410,210,338,248,181,234,240,176,208,173,153,344,240,378,302,400,242,142,228,377,377,162,346,179,210,369,422,250,264,264,223,299,440,186,276,269,423,423,444,448,270,406,257,232,403,438,219,198,208,406,472,404,241,198,438,384,191,479,223,353,343,352,338,307,409,258,371,199,221,223,218,376,337,464,416,269,376,264,415,319,404,485,365,510,363,228,497,272,456,427,333,354,343,473,468,407,328,265,413,321,423,321,283,454,447,432,482,471,490,290,496,324,459,369,369,497,546,399,450,356,297,317,405,262,479,368,445,263,307,555,404,351,428,357,486,553,493,485,538,558,489,410,309,313,369,506,504,403,458,508,489,499,449,571,553,293,440,394,288,356,569,570,398,294,313,379,339,567,491,523,565,596,451,388,501,427,409,334,431,543,372,441,386,323,433,520,467,579,404,601,320,474,520,573,541,610,372,528,592,327,599,358,422,616,346,371,532,342,483,567,483,592,572,400,568,527,499,380,572,583,536,401,583,515,370,436,617,410,473,604,556,354,474,494,372,604,582,394,547,473,452,571,384,422,621,423,434,541,584,459,538,601,568,499,580,625,449,495,520,625,479,465,574,473,600,412,501,546,565,467,555,460,438,419,473,484,510,441,566,441,460,449,419,564,510,589,486,538,614,606,418,586,532,587,603,426,447,555,594,555,433,425,495,429,447,434,481,620,450,508,464,542,552,618,529,603,599,599,460,559,556,492,590}

{94,95,98,99,112,114,125,128,133,142,145,156,157,161,171,186,193,204,211,214,229,231,234,237,239,245,246,248,251,259,271,275,288,290,304,306,308,315,335,337,349,361,365,366,369,371,372,377,382,383,386,394,402,404}

Returns: "Impossible"
{0,1,0,0,0,2,0,0,3,1,2,8,6,11,11,5,6,6,9,3,7,11,0,19,23,6,4,13,12,4,12,28,16,31,27,4,33,15,2,7,33,31,29,28,25,38,46,41,35,41,6,15,33,1,11,36,40,3,18,11,42,21,49,11,64,31,37,26,62,5,15,36,26,3,72,16,40,41,57,20,18,48,8,12,23,76,65,86,61,44,69,33,46,29,22,84,46,38,41,75,24,23,65,75,27,40,27,47,53,82,24,107,69,26,34,86,43,43,104,93,94,103,62,81,117,101,59,26,11,50,27,98,102,16,114,66,126,122,94,133,19,54,47,2,14,111,47,31,74,122,40,140,62,118,110,107,42,127,100,67,59,14,119,11,43,33,140,27,1,119,91,23,12,21,40,151,31,171,56,64,178,151,166,112,2,138,3,3,160,63,18,146,185,139,175,2,4,190,41,198,170,64,196,45,202,186,156,28,110,160,84,168,70,172,187,89,49,4,193,16,17,51,115,171,174,206,220,206,207,64,71,25,160,195,98,93,79,147,65,181,214,192,95,215,167,22,98,131,205,164,126,12,169,30,30,209,72,23,30,192,19,28,170,103,202,77,134,55,153,256,98,22,122,32,246,180,248,81,196,19,107,212,252,148,158,194,273,250,215,287,248,110,45,56,75,292,90,1,282,114,253,195,249,276,234,26,274,240,140,36,237,11,83,3,148,8,22,143,39,89,134,144,91,69,215,72,24,285,132,46,296,91,69,46,177,289,20,217,170,99,1,71,14,225,54,163,73,267,11,301,327,34,104,182,99,16,56,246,261,205,124,316,291,154,147,271,190,147,91,93,360,228,160,304,310,215,243,24,181,302,220,202,90,9,260,215,270,248,340,0,148,144,271,226,355,171,220,292,145,140,243,39,387,72,125,114,209,99,6,33,74,169,292,399,44,34,246,85,271,173,260,179,73,385,43,409,281,173,107,8,242,354,74,327,65,74,176,129,142,400,98,208,229,284,185,286,84,66,349,151,420,191,308,313,393,455,411,250,257,280,377,295,38,200,37,207,42,34,454,403,158,408,460,152,63,343,27,265,475,201,150,1,236,396,238,189,348,66,43,156,180,423,284,111,246,200,182,38,383,14,391,451,215,433,389,47,475,70,275,101,473,450,453,283,387,73,223,302,419,159,432,183,30,229,252,474,210,230,418,132,88,19,236,92,337,206,346,231,163,222,77,427,216,205,381,121,199,410,384,34,117,403,347,284,376,375,104,377,398,150,322,130,110,81,117,433,340,387,91,266,339,328,127,80,50,458,138,298,92,120,379,93,296,71,302,11,98,234,304,352,71,280,66,14,255,448,340,288,10,86,179,84,433,65,478,31,118,306,289,63,353,235,291,254,375,384,332,104,452,81,439,339,188,437,114,381,78,464,204,42,431,55,390,213,191,420,228,110,206,283,461,281,250,201,453,99,356,459,65,364,313,169,437,455,238,75,279,451,222,471,138,391,156,243,322,375,209,335,73,95,105,97,124,225,256,181,145,301,143,134,363,292,453,311,452,251,247,122,459,98,103,194,295,204,187,444,305,186,148,386,257,402,261,392,450,464,319,419,313,158,269,119,467,310,347,381,158,324,367,448,288,290,184,276,245,325,127,157,477,181,412,363,477,476,133,444,462,258,195,263,207,404,173,402,331,278,426,480,391,241,401,401,450,358,480,312,443,475,238,448,207,331,474,482,256,221,255,449,302,210,292,482,288,468,256,326,179,333,453,263,444,381,215,426,391,303,323,232,422,207,444,222,355,250,224,443,251,294,338,428,198,435,285,407,246,390,429,224,281,255,454,279,249}

{53,54,55,59,61,62,63,64,65,66,67,68,70,71,78,80,81,82,83,87,90,99,101,104,107,108,109,110,111,113,114,115,118,119,122,123,124,125,126,127,128,130,131,133,135,136,137,138,139,140,141,144,145,147,149,150,154,155,156,159,161,163,165,166,167,170,174,175,176,180,181,182,184,185,187,189,190,191,192,195,197,200,201,202,203,207,208,210,212,213,215,216,217,218,219,220,223,225,228,229,230,231,232,234,235,236,237,238,240,241,244,247,248,249,252,255,257,259,260,261,263,267,268,269,270,272,274,275,277,278,279,280,281,282,284,286,287,289,291,292,293,294,295,296,297,298,299,303,307,308,309,310,312,313,314,316,317,318,322,323,324,327,328,330,331,332,333,335,336,338,339,341,342,343,344,346,348,350,353,354,355,356,357,359,362,363,364,366,367,369,370,371,374,378,380,381,382,383,384,390,391,392,393,394,397,399,402,403,405,406,407,408,410,411,413,414,415,417,419,421,423,425,427,428,430,432,433,435,439,443,444,445,446,447,450,451,452,454,456,458,460,461,462,463,464,465,466,468,469,473,474,478,479,480,481,482,484,485,489,491,492,493,495,496,499,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,519,520,522,523,524,525,526,527,528,531,535,536,537,538,539,540,541,544,545,546,548,549,550,551,553,554,555,556,557,558,560,561,565,567,568,570,571,572,573,574,575,578,580,581,582,584,587,588,590}

Returns: "Impossible"
{0,1,0,1,3,2,2,0,4,9,5,6,4,0,5,8,8,17,2,16,4,3,9,1,22,20,14,19,7,24,8,3,30,17,9,16,36,24,4,9,32,14,42,7,25,19,44,0,21,17,12,30,21,34,18,54,8,8,25,48,30,20,51,27,0,6,7,14,28,33,45,26,62,58,41,73,13,13,2,1,14,80,62,45,24,65,12,68,45,81,16,74,3,53,88,29,22,94,91,43,55,52,4,7,21,34,78,14,59,20,43,14,47,94,74,53,7,7,33,104,51,85,32,7,108,29,64,78,98,87,125,31,58,23,39,3,45,13,16,99,36,48,27,123,51,117,98,130,130,105,28,21,125,78,43,30,100,43,141,113,19,91,149,66,63,95,147,18,91,60,4,25,52,140,66,157,89,75,149,36,117,153,167,64,76,54,135,123,146,32,112,75,13,38,36,172,80,125,145,193,34,53,32,138,38,29,99,200,27,50,147,95,28,32,70,212,38,180,111,71,18,154,132,95,206,211,95,94,99,139,147,36,65,162,216,220,36,9,168,207,168,210,138,168,63,200,41,62,94,73,115,4,198,198,158,50,159,238,130,110,11,8,137,225,217,210,67,30,169,94,233,235,45,111,234,183,145,237,146,221,190,213,103,212,141,157,26,37,165,28,192,55,4,109,128,31,93,128,107,223,39,39,144,198,76,113,89,176,170,196,23,147,197,59,53,143,65,63,149,146,67}

{110,117,119,122,136,138,145}

Returns: "Impossible"
{0,1,2,3,0,0,6,7,1,2,10,1,7,3,11,9,12,4,7,1,12,18,17,10,18,18,25,18,23,19,13,6,3,32,17,4,20,28,14,12,16,0,13,3,8,8,34,5,30,15,24,38,26,49,21,28,5,31,9,19,26,0,25,5,51,28,65,45,32,40,15,7,70,11,71,3,75,38,16,68,50,56,33,8,10,31,35,6,38,7,81,43,72,7,2,65,60,89,65,10,17,88,11,101,55,13,58,88,70,52,69,11,102,107,33,17,22,109,62,61,74,56,29,6,108,21,122,16,50,51,74,51,106,97,77,42,113,18,17,115,116,125,127,94,123,84,25,103,3,32,17,76,40,132,31,8,62,60,3,131,75,127,146,68,48,78,17,26,153,106,44,90,54,125,47,112,74,136,106,84,8,139,39,65,64,58,30,66,163,135,91,113,23,87,110,58,26,172,152,160,154,98,103,120,172,159,28,124,94,119,169,171,154,148,129,31,45,186,110,185,119,49,217,78,48,172,82,136,39,155,58,62,118,70,87,90,230,190,230,233,69,145,88,57,93,141,73,77,161,152,156,164,73,122,91,249,98,192,252,229,206,138,168,134,179,92,146,235,88,149,195,164,266,205,91,92,151,201,172,276,198,244,186,224,251,208,274,184,128,213,113,191,123,256,255,150,219,170,210,149,207,230,185,157,268,206,140,232,262,201,162,128,192,154,191,266,271,238,214,200,199,147,231,222,277,147,231,152,142}

{107,108,109,110,111,112}

Returns: "Impossible"
{0,1,1,1,2,4,6,5,6,0,7,4,0,2,7,7,7,11,12,3,2,20,9,20,8,8,9,22,19,14,23,8,11,28,2,1,36,10,7,15,3,5,35,24,11,17,10,3,15,9,12,1,47,42,51,13,38,33,36,37,1,37,19,9,44,54,8,10,65,5,8,60,22,50,26,75,61,5,62,3,23,37,57,35,16,53,51,86,24,41,60,8,56,89,93,24,57,36,6,43,53,61,102,36,99,76,77,29,79,109,49,79,48,112,12,91,36,36,74,27,23,118,5,35,8,88,39,79,88,0,64,90,102,47,63,89,75,83,133,4,40,124,48,62,32,76,11,83,133,101,19,30,10,117,15,149,57,103,104,99,108,6,51,144,14,7,143,64,61,106,103,157,129,87,55,147,21,41,18,24,3,4,99,139,112,161,83,136,131,22,147,23,160,86,66,172,122,40,106,131,139,97,157,135,169,174,160,43,130,193,105,137,150,110,37,55,205,215,203,186,16,142,129,195,223,104,175,193,190,136,17,96,4,26,0,66,112,77,151,216,121,147,167,118,244,139,110,96,224,21,162,41,28,51,134,167,159,236,225,107,242,40,26,163,106,64,190,61,141,133,189,200,148,134,219,263,180,159,51,154,52,191,34,73,97,105,97,151,159,62,213,264,44,283,15,271,23,117,211,12,204,260,145,14,143,213,182,201,95,102,167,94,156,257,291,92,184,249,192,135,13,232,233,296,134,123,157,81,42,143,237,47,30,56,247,46,244,107,221,212,233,8,111,58,338,326,55,156,277,182,117,140,307,271,281,343,193,159,275,60,72,279,136,138,169,327,217,14,36,149,314,336,229,295,143,249,190,324,192,57,128,145,255,110,339,252,322,151,197,366,118,167,147,193,320,125,251,141,283,385,272,124,50,16,50,139,189,192,65,92,81,247,161,228,275,413,400,293,128,235,402,388,141,3,281,207,86,419,109,428,44,413,420,184,45,80,230,359,264,18,10,334,176,181,103,160,159,185,148,327,280,111,44,299,395,29,382,423,450,54,436,101,129,185,316,83,444,414,326,49,149,83,445,397,474,135,422,427,437,101,129,336,342,169,162,119,250,311,285,23,251,451,148,30,273,294,132,124,109,427,407,333,479,88,46,126,184,328,153,344,234,453,194,323,415,366,409,345,379,327,185,219,316,88,111,338,97,253,402,273,260,374,112,177,477,386,319,477,90,471,291,229,180,157,162,125,346,461,316,318,417,224,221,492,504,238,442,180,291,315,380,474,210,159,112,273,393,391,163,461,310,173,424,518,365,404,455,251,346,468,319,231,459,157,295,450,398,389,411,165,264,470,144,281,517,537,298,462,544,309,244,224,194,487,306,434,315,537,332,325,312,184,407,372,390,451,502,394,218,207,532,438,495,374,273,179,178,443,387,167,542,328,182,171,197,468,247,357,522,405,489,490,382,350,242,182,296,398,426,368,257,370,411,319,313,474,498,295,449,528,209,254,432,381,340,393}

{207,208,209,210,211,212,213,214,216,217,218,220,221,222,223,224,226,227,229,230,231,233,234,235,236,238,240,242,243,244,245,248,249,252,254,256,258,260,262,264,265,267,268,269,270}

Returns: "Impossible"
{0,0,1,3,0,1,4,1,4,5,1,3,2,13,12,5,14,1,16,0,9,16,13,19,12,4,4,14,19,8,24,18,10,33,24,25,8,21,12,1,4,5,16,0,16,42,29,18,48,20,4,10,49,23,0,24,31,54,43,24,5,13,44,8,45,34,18,56,22,27,23,11,18,61,27,75,38,76,1,42,69,9,49,36,31,76,62,40,30,55,68,54,45,62,75,44,48,68,20,45,28,33,89,51,29,3,46,65,65,44,19,33,39,82,63,105,71,112,20,41,91,116,94,32,71,40,113,56,69,111,82,48,60,118,27,87,40,104,90,57,92,117,75,64,99,50,122,114,103,112,141,91,133,77,141,46,73,141,135,66,77,146,95,105,71,64,66,95,139,160,168,145,161,95,150,112,145,101,172,108,87,136,167,173,80,83,170,114,155,160,138,186,184,148,163,124,140,172,162,109,180,180,109,181,194,176,202,195,111,146,137,121,174,187,164,174,160,126,138,148,143,195,162,216,177,193,159,227,132,135,190,226,132,193,175,130,178,212,135,220,163,162,212,198,244,143,156,179,136,191,201,156,156,225,176,198,217,200,253,196,240,193,200,231,228,237,208,262,211,251,249,239,223,228,207,219,199,212,260,218,176,255,180,273,205,267,179,196,242,275,203,246,277,192,210,267,279,259,187,230,235,270,278,282,215,282,278,277,211,268,280,281,290,214,306,253,283,311,231,231,216,303,263,285,276,248,250,304,235,276,296,266,310,255,222,256,268,268,335,260,259,320,264,338,316,252,256,268,243,319,343,302,292,323,309,259,285,307,314,315,313,319,343,346,257,327,350,316,289,303,281,332,324,366,320,305,352,267,364,302,278,370,372,377,277,291,285,357,349,386,292,380,328,391,330,291,310,355,355,328,306,299,295,384,348,310,395,374,381,354,352,385,301,347,329,376,306,386,410,388,340,318,317,328,316,418,381,419,386,349,382,333,394,339,355,323,388,353,333,416,398,368,378,354,428,442,367,398,429,435,354,346,382,436,396,419,393,422,458,440,458,414,462,447,436,355,450,357,401,402,398,418,383,361,411,381,437,388,410,404,382,409,401,438,451,432,472,414,446,400,421,415,477,464,426,439,385,396,387,472,423,493,499,458,430,471,504,445,443,443,499,503,451,489,453,475,505,426,488,429,503,416,478,470,502,423,490,485,471,436,500,459,477,434,533,426,470,524,471,495,461,462,510,528,479,455,465,494,516,485,509,548,494,448,450,488,505,450,547,464,456,466,534,479,521,479,553,542,520,513,475,496,503,543,560,533,505,515,496,574,561,508,480,559,474,508,562,485,569,481,488,552,578,544,552,539,576,521,565,500,590,548,593,532,588,548,555,555,579,511,585,602,611,511,611,599,587,603,605,527,576,519,596,517,518,519,600,577,518,604,601,542,536,587,554,588,608,585,630,572,635,546,629,641,595,576,603,599,637,596,561,625,624,642,550,624,618,558,611,608,587,588,643,581,626,591,620,662,585,586,605,593,580,645,656,585,599,659,607,647,599,579,609,638,667,647,624,622,681,676,647,655,672,628,659,646,645,645,652,663,669,608,697,684,635,614,636,670,664,667,638,624,694,707,637,709,684,670,614,670,720,636,641,701,697,716,687,670,673,697,660,684,649,670,713,654,648,701,662,663,668,649,650,685,657,729,705,679,654,684,713,724,662,737,723,697,691,671,665,653,703,665,726,755,762,669,714,750,718,657,736,740,740,682,686,700,737,740,731,699,731,781,742,741,716,739,740,749,741,771,738,788,738,786,687,754,725,730,779,720,800,798,690,747,701,732,710,767,765,774,721,736,789,706,740,707,727,764,717,707,784,811,754,798,731,779,748,780,726,817,732,736,733,823,785,766,795,835,731,795,734,777,827,740,789,741,846,839,780,754,800,808,779,815,781,843,771,812,778,790,856,815,830,841,821,805,819,765,777,784,782,857,842,855,842,781,817,837,823,848,802,851,831,810,798,793,831,851,886,836,889,813,881,842,888,895,796,818}

{451,452,453,456,458,459,461,462,463,464,465,466,468,469,470,471,472,473,474,476,477,478,480,482,483,484,485,486,489,490,491,492,493,494,495,496,497,498,500,501,502,503,504,505,506,507,509,510,512,513,515,516,517,519,521,522,524,525,527,528,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,551,552,553,554,555,556,557,558,560,561,562,563,564,566,569,570,571,573,574,575,576,577,578,579,580,581,582,585,586,587,588,590,591,592,593,595,596,597,598,599,600}

Returns: "Impossible"
{0,1,2,0,2,3,5,4,8,2,1,5,0,13,1,8,1,5,18,17,6,19,5,5,1,3,16,27,0,4,2,18,32,13,13,5,1,5,14,36,18,23,19,39,41,41,26,5,2,40,34,3,43,6,24,17,44,34,55,26,47,27,8,19,6,24,27,25,59,26,27,4,12,35,49,41,52,19,67,76,41,20,33,55,73,54,43,22,58,2,39,47,63,63,83,64,72,52,72,89,81,79,18,72,40,68,9,63,43,65,65,63,79,66,103,3,109,107,68,1,83,9,46,123,60,3,0,123,125,109,15,124,7,34,0,91,26,50,135,13,129,88,109,36,84,124,76,142,121,16,87,62,111,101,110,65,80,96,103,153,79,94,113,28,144,143,154,107,148,143,19,161,81,27,92,22,133,85,0,117,60,1,66,121,81,56,24,160,81,149,44,91,170,127,62,88,90,70,16,101,19,144,12,63,183,157,65,189,79,169,58,36,2,183,2,159,67,82,216,122,113,2,208,52,99,23,35,174,122,227,150,196,81,116,20,107,147,133,15,181,166,103,181,62,204,36,226,19,178,122,8,177,111,217,66,87,76,229,70,18,5,202,78,259,213,2,7,158,207,137,122,18,69,88,268,216,133,243,216,146,235,15,268,97,257,190,175,27,80,279,88,55,196,245,272,86,142,42,210,268,230,112,272,136,158,102,145,77,195,242,211,286,8,125,288,82,278,204,127,209,288,261,14,150,59,263,29,273,67,33,32,220,83,150,321,11,14,120,73,331,194,299,30,69,114,230,266,167,106,335,340,334,271,36,185,162,183,23,45,37,158,327,110,135,24,133,129,82,196,208,247,246,211,321,17,91,258,125,302,269,191,229,112,344,81,54,189,344,227,42,157,313,199,203,121,225,329,310,39,191,248,115,211,151,107,187,163,164,330,99,57,60,24,308,4,156,101,46,22,63,36,40,286,196,214,157,180,188,141,186,151,134,271,78,89,54,193,137,57,127,185,251,293,272,65,128,279,288,166,12,12,341,300,152,163,262,32,90,124,290,151,135,291,17,52,271,318,108,279,300,7,177,247,278,304,7,37,225,107,174,128,315,5,115,331,84,40,338,116,68,182,279,236,253,183,164,153,148,308,137,94,187,61,63,154,117,75,318,218,40,154,177,94,300,222,70,288,115,121,181,198,204,345,236,53,342,166,154,103,118,57,58,69,142,120,206,232,318,191,113,258,214,183,60,126,329,258,293,69,110,167,74,95,341,101,153,125,200,218,163,92,283,193,345,128,122,137,93,224,148,123,121,227,278,132,307,298,162,155,135,251,281,342,264,213,249,273,129,223,213,286,211,195,188,119,329,211,159,167,210,151,175,174,327,212,206,281,295,259,174,187,173,253,176,191,232,262,133,261,191,167,307,280,175,157,146,157,205,310,336,183,278,289,266,154,164,255,266,179,174,302,221,212,299,289,295,207,231,294,265,253,180,211,185,331,215,307,324,214,173,305,281,186,297,291,182,185,286,189,322,287,298,321,215,277,234,295,204,341,330,298,311,206,227,237,208,339,346,293,289,341}

{293,297,298,313,317,323,328,339,349,353,364,372,375,380,384,390,391,395,398,401,405,428,431,432,435,437,438,441,447,448,457,459,463,479,486,496,498,500,503,504,507,513,523,531,533,534,537,546,551,552,563,567,574,577,580,582,584,590}

Returns: "Impossible"
{0,1,0,3,3,5,3,0,8,8,1,2,5,6,6,6,8,6,2,19,1,15,21,20,5,20,1,15,17,17,19,3,27,23,17,6,13,36,11,17,25,2,37,26,34,45,33,8,3,19,35,14,46,48,6,46,15,16,48,41,39,43,32,7,30,58,62,9,0,16,26,33,2,66,60,67,76,22,39,18,52,4,82,3,26,84,10,71,43,77,34,83,71,17,53,39,14,17,53,16,2,69,16,35,18,6,42,76,76,73,38,104,106,72,85,103,68,35,18,49,87,97,59,108,42,88,16,87,123,51,0,122,17,25,51,19,15,78,96,65,101,133,125,72,6,83,70,21,146,84,50,83,40,68,46,95,100,147,73,76,129,10,162,68,44,97,77,149,23,92,52,79,32,89,173,87,73,55,130,56,56,30,175,129,120,50,30,132,89,22,13,123,116,49,97,89,189,124,42,180,104,144,194,105,167,161,27,9,164,15,92,196,71,106,48,63,46,172,218,120,142,172,34,118,124,170,46,158,137,165,158,165,195,27,228,16,138,125,70,34,170,75,170,218,108,205,176,169,83,148,243,34,158,54,5,210,239,97,253,206,86,58,256,133,169,183,36,219,226,141,11,230,212,185,12,173,265,206,7,187,220,36,251,67,197,188,205,34,187,161,46,209,177,155,43,38,26,280,145,142,160,181,62,233,238,168,216,6,176,153,51,217,214,33,17,234,177,233,265,124,248,282,116,148,214,17,86,293,31,273,220,194,254,139,142,319,286,100,112,152,153,150,205,70,310,115,263,52,241,140,198,275,283,62,72,138,191,74,51,110,48,350,356,70,96,163,252,43,329,64,276,323,232,184,339,80,4,60,168,131,7,28,305,282,74,73,119,356,153,270,244,149,311,319,28,339,122,367,248,51,166,284,311,376,204,223,49,49,347,73,359,52,329,219,283,105,47,51,406,89,346,261,161,330,360,365,390,218,343,342,422,279,397,324,289,172,250,370,235,249,289,192,204,415,167,256,176,253,210,241,421,397,436,352,166,435,223,238,259,414,104,299,268,239,347,133,236,99,439,314,460,405,339,398,310,136,106,359,281,445,399,157,445,227,223,361,276,304,218,184,449,280,435,436,275,326,442,337,268,365,159,260,439,455,423,223,420}

{393}

Returns: "Impossible"
{0,0,1,0,0,5,6,2,4,4,3,11,1,9,9,0,14,12,6,10,2,5,4,19,22,16,25,1,16,10,14,14,25,2,7,4,5,22,19,4,12,18,41,39,14,7,24,29,30,5,8,42,35,23,49,32,12,39,58,26,50,37,2,6,50,43,66,65,5,14,0,61,71,69,62,10,31,55,57,50,80,65,28,82,38,6,21,21,76,27,80,91,46,39,61,8,52,33,70,33,47,10,21,72,78,40,21,71,22,47,79,98,42,19,74,114,28,44,42,23,97,5,84,66,15,15,117,120,60,123,92,46,51,56,124,33,37,82,83,83,31,103,1,1,61,76,93,137,35,142,24,56,123,29,101,49,97,112,94,152,135,37,121,129,6,39,82,141,25,62,5,14,27,30,155,116,170,143,124,137,91,98,79,6,91,96,153,13,37,80,98,174,144,58,139,2,30,127,43,70,24,85,110,96,183,94,104,46,16,23,56,12,29,23,116,13,170,204,101,17,89,10,169,125,101,117,203,220,208,185,50,34,9,128,98,233,1,140,21,163,227,149,49,131,92,27,83,64,7,192,163,87,160,65,233,201,137,103,15,200,93,77,46,125,192,10,170,148,119,162,221,200,197,132,146,157,6,62,49,155,174,78,108,217,142,93,164,132,15,19,262,69,129,112,222,85,17,43,47,3,116,95,148,90,235,146,215,229,254,92,39,89,125,145,241,53,203,159,244,258,203,233,26,129,134,272,241,19,239,157,264,81,177,205,143,153,82,171,261,156,100,33,201,46,41,94,170,42,205,65,127,179,207,195,133,251,188,147,192,160,170,251,83,241,110,159,78,161,216,88,131,222,71,116,162,117,272,157,92,223,152,178,125,199,164,268,254,182,232,88,176,232,195,265}

{33}

Returns: "Impossible"
{0,0,1,0,2,0,6,3,8,5,4,4,0,4,9,7,1,8,10,11,8,2,14,12,20,12,5,17,20,27,15,2,11,15,19,27,12,2,24,36,1,33,15,37,27,33,42,29,28,5,40,2,44,31,11,43,24,56,12,34,39,19,38,63,17,17,41,35,54,42,28,19,71,67,27,51,54,25,17,65,72,53,5,43,59,81,5,66,19,67,59,43,63,34,47,28,2,41,75,4,22,42,42,50,97,96,29,47,48,83,44,88,91,79,41,48,69,110,81,36,93,107,48,120,3,124,66,94,60,78,101,13,81,68,134,16,52,65,11,122,77,107,51,37,106,121,77,87,85,17,58,117,15,37,127,153,120,37,78,40,55,45,7,55,63,65,25,70,9,35,83,105,72,66,75,61,26,72,69,13,103,109,142,178,166,85,86,101,73,89,1,30,44,188,180,178,17,169,53,146,66,61,137,31,123,66,20,195,26,101,210,46,109,86,18,174,8,103,174,181,195,193,35,132,70,58,117,49,23,211,132,55,80,32,37,63,8,40,38,171,65,19,85,97,241,216,223,221,9,174,24,57,133,107,149,159,120,29,98,94,191,139,174,241,199,6,34,164,100,178,247,249,97,243,76,132,263,123,220,116,41,27,83,272,210,222,162,146,140,164,141,211,269,211,259,93,78,2,9,115,70,19,230,129,214,108,159,193,184,0,66,285,129,215,196,176,42,285,248,65,85,307,17,321,124,321,202,30,76,38,276,96,62,26,315,8,162,181,65,169,300,193,70,14,246,67,9,171,195,200,209,336,97,125,144,304,54,268,188,280,294,79,140,46,151,123,150,193,295,275,116,247,167,43,340,211,51,60,159,142,214,129,299,356,361,70,314,135,298,196,317,263,17,117,193,219,328,109,186,113,204,125,229,189,21,156,316,294,403,53,231,225,401,132,13,64,399,361,333,116,176,56,250,328,206,421,375,409,51,359,188,250,400,108,103,353,35,369,378,429,249,198,406,349,440,152,137,115,304,437,350,345,30,360,173,176,147,99,440,397,110,288,172,299,386,314,171,377,163,93,384,340,159,472,428,410,118,365,224,359,171,295,231,389,326,301,182,259,223,206,457,155,253,162,286,205,306,159,145,423,78,461,357,234,350,236,126,206,107,428,102,98,184,342,307,332,211,461,351,267,96,478,115,250,176,388,219,107,389,173,112,322,338,462,168,411,123,292,165,162,364,351,331,311,403,219,312}

{102,105,106,107,108,109,110,113,114,118,121,123,124,125,127,129,134,135,136,137,138,139,143,146,147,148,149,151,152,153,154,155,156,158,159,160,162,164,165,167,168,169,171,172,173,174,176,179,180,181,182,185,191}

Returns: "Impossible"
{0,1,1,3,1,5,3,5,7,2,4,3,7,1,14,4,13,8,16,5,11,8,4,6,9,6,11,18,3,13,26,21,7,10,18,4,35,22,36,23,31,1,10,8,27,4,4,5,1,8,22,0,15,34,44,54,53,16,20,45,31,32,46,8,32,47,32,54,21,56,29,2,19,55,18,60,72,65,25,79,4,64,16,51,14,18,31,34,38,37,6,82,27,64,86,39,83,82,27,59,19,82,29,44,74,43,19,104,17,79,104,57,110,47,37,92,75,104,5,16,120,16,15,65,95,12,95,79,30,34,115,53,119,12,68,82,77,82,121,28,43,68,60,131,91,76,56,129,47,133,13,100,115,33,129,14,104,20,130,146,21,150,123,162,39,69,83,65,145,4,6,90,68,7,104,3,61,68,90,6,2,179,108,19,52,174,59,23,71,106,132,68,148,11,182,89,5,47,123,108,75,106,47,147,168,70,153,93,49,126,192,59,176,165,6,128,51,211,132,177,48,64,147,89,142,109,101,225,114,176,67,176,146,123,105,227,44,77,118,148,54,98,25,44,67,117,190,23,126,2,5,172,115,173,193,71,155,38,142,60,131,179,224,8,67,264,214,134,9,59,7,92,114,179,250,141,59,70,98,181,125,135,84,224,272,283,46,223,187,108,285,232,155,266,212,289,178,170,11,20,290,236,220,90,217,206,251,158,182,182,275,253,138,40,153,13,72,108,167,183,15,240,270,306,85,67,260,157,292,215,133,189,225,154,230,177,52,192,330,159,105,265,247,4,209,323,182,191,56,318,192,290,314,312,205,294,153,232,342,107,332,350,23,289,15,12,276,166,45,153,76,3,177,330,181,349,116,365,294,202,274,198,74,47,308,241,348,274,35,350,169,11,121,79,309,319,67,178,228,19,206,193,377,18,54,217,345,355,166,5,56,42,19,97,120,39,203,343,220,128,97,85,64,161,121,220,273,43,328,403,422,115,361,190,292,218,92,400,428,320,311,379,181,52,387,220,147,159,172,181,402,226,312,255,288,280,109,181,216,357,407,276,69,340,412,44,421,331,167,370,219,232,21,286,326,114,77,436,69,474,50,52,157,284,130,186,394,42,292,10,425,243,60,21,348,186,242,170,173,118,1,125,316,246,24,304,420,198,4,197,444,412,476,25,292,306,51,366,309,461,349,451,436,434,306,280,467,74,61,201,102,499,427,511,56,431,486,45,358,421,190,461,364,426,514,446,447,83,274,391,224,124,549,309,167,554,179,215,119,486,64,351,37,502,138,315,258,413,566,498,219,379,124,254,329,391,133,164,206,200,429,482,469,371,178,382,199,356,520,285,422,424,444,519,189,594,105,397,393,582,212,178,289,215,239,566,308,453,274,146,521,356,515,164,490,389,268,440,275,239,440,272,481,69,158,388,343,598,212,592,277,195,488,456,469,480,455,492,153,266,404,431,606,616,369,259,246,188,429,576,641,557,415,265,366,375,603,442,470,133,579,322,134,457,282,130,578,233,502,245,575,524,406,462,183,200,212,223,392,646,135,268,579,550,530,628,366,357,167,295,521,410,250,178,211,497,430,499,414,448,462,162,418,296,295,545,163,444,645,626,644,298,382,325,569,560,375,279,320,350,294,592,362,279,233,559,435,324,338,424,208,297,550,252,624,473,250,615,517,180,239,607,213,540,523,375,371,222,214,582,279,409,482,639,406,245,490,427,637,367,238,216,500,402,515,375,528,205,632,327,451,535,573,340,346,356,347,359,509,458,275,385,653,401,479,285,381,416,468,584,352,368,259,245,348,555,627,641,460,659,429,325,579,636,456,361,370,335,390,641,522,281,255,310,507,270,444,650}

{686,688,689,692,697,704,709,712,714,716,717,718,722,723,724,725,728,732,736,738,740,742,743,745,747,751,754,757,758,764,766}

Returns: "Impossible"
{0,0,0,2,4,5,1,5,5,8,7,7,5,0,11,15,6,0,12,14,18,20,20,9,9,24,9,1,20,2,28,2,1,4,25,17,0,2,38,4,23,37,42,16,29,28,0,1,22,25,22,19,26,39,36,24,50,40,58,30,10,42,31,63,40,2,65,52,39,7,33,40,8,5,58,74,62,18,74,46,54,45,55,69,62,56,37,78,77,86,25,78,4,8,94,33,17,82,11,66,7,29,34,62,22,52,69,88,4,89,86,90,77,82,26,0,10,43,50,57,20,111,17,88,8,73,27,59,100,33,75,12,30,19,108,106,29,53,84,72,37,0,84,107,122,108,102,13,146,122,59,32,150,0,5,79,62,126,9,27,7,106,116,60,21,86,150,99,92,138,86,12,91,99,92,97,99,158,91,89,41,137,180,183,140,100,168,91,70,59,87,123,192,147,99,108,176,128,157,116,69,191,41,152,202,103,76,107,88,147,45,39,146,112,210,124,161,66,184,210,114,182,191,161,202,87,192,49,177,97,64,58,133,108,69,212,138,73,203,63,127,167,63,156,156,86,227,239,133,101,224,115,100,103,200,172,88,176,121,222,89,154,113,87,173,228,170,114,124,251,146,255,134,247,264,249,137,218,165,226,268,122,130,170,135,167,145,193,207,228,119,145,220,115,173,289,239,162,192,284,222,123,230,200,125,233,273,229,233,262,170,144,134,292,229,197,279,148,172,256,267,228,226,215,160,316,301,232,314,197,158,221,193,272,305,242,249,207,327,162,283,238,285,241,232,185,274,236,192,246,300,200,251,231,324,251,216,180,316,244,256,206,283,301,309,332,283,228,236,268,255,242,265,312,217,295,243,213,306,246,259,238,215,219,219,303,222,280,223,320,245,266,223,236,290,226}

{48,50,51,52,53,54,55,58,59,62,63,64,65,66,67,68,69,70,73,74,75,77,78,79}

Returns: "Impossible"
{0,0,0,2,4,1,6,7,1,8,8,7,10,13,5,6,5,4,17,4,8,2,19,9,22,12,3,23,0,23,14,13,3,31,19,20,13,18,33,33,35,15,6,19,6,35,25,39,17,43,30,20,47,49,2,34,37,23,30,17,57,49,10,38,63,35,5,33,39,66,3,35,0,17,0,20,68,10,38,10,24,11,51,80,0,16,61,69,59,75,2,49,64,69,42,51,55,46,31,17,11,38,85,89,23,59,60,53,54,59,42,17,5,85,113,57,20,100,58,118,10,108,3,87,73,46,100,54,125,97,70,1,41,95,41,30,83,127,95,110,92,98,72,65,86,99,54,144,56,1,74,49,144,151,55,56,143,51,87,116,121,65,118,104,55,12,116,95,3,160,25,47,143,36,164,142,40,174,21,156,67,8,24,26,173,104,184,159,66,173,90,112,26,118,62,118,184,82,106,192,183,127,5,161,107,95,196,59,183,170,134,102,79,157,18,204,65,183,106,161,200,121,13,112,42,113,49,60,124,56,129,205,131,64,94,171,214,214,204,62,209,106,64,137,118,5,70,148,43,148,137,12,109,90,143,54,142,16,152,5,242,21,259,58,133,125,176,5,109,201,224,233,97,215,248,117,151,20,236,134,245,257,30,46,176,63,217,103,197,145,184,169,71,143,254,58,72,0,176,292,91,63,149,241,58,253,25,42,100,33,307,110,193,84,18,263,41,282,33,231,205,68,277,320,207,13,229,2,229,155,286,199,56,1,239,265,50,317,30,204,81,49,286,127,67,187,117,329,287,230,307,25,44,87,353,351,302,345,241,126,188,164,317,290,181,264,270,71,331,288,166,172,53,57,96,343,165,54,324,306,92,123,62,233,215,163,158,108,127,139,361,285,367,67,333,289,121,104,181,184,326,220,300,147,303,340,296,263,134,134,147,129,363,193,366,229,276,295,362,364,321,246,392,329,321,119,178,213,349}

{24,25,26,29,30,34,37,41,44,49,50,51,60,61,63,71,74,75,77,78}

Returns: "Impossible"
{0,1,1,3,2,1,6,3,8,6,0,8,0,9,13,5,2,14,14,5,15,18,18,0,20,22,11,22,19,21,21,24,2,2,19,4,23,6,7,26,23,25,11,10,12,38,22,6,14,15,22,14,46,27,13,15,35,48,32,6,55,6,10,56,47,48,56,31,57,35,43,32,12,59,34,61,2,34,48,55,36,26,43,56,28,57,35,40,22,65,25,82,37,42,64,51,69,90,91,34,94,85,97,34,62,26,67,85,108,93,41,88,62,94,112,56,109,101,42,111,118,71,121,102,72,105,106,79,97,129,91,71,90,63,121,122,92,124,59,114,117,101,102,103,84,122,128,134,98,141,98,72,152,103,95,97,122,96,94,111,126,129,137,113,131,106,147,165,155,119,98,150,117,151,96,141,133,152,143,156,175,136,107,155,182,144,152,145,164,183,140,119,180,118,182,184,120,170,193,188,192,143,189,159,165,134,144,181,207,167,138,173,161,159,165,160,175,213,185,140,189,159,220,200,212,218,203,164,182,154,162,213,177,199,174,220,163,216,219,208,201,239,173,199,168,235,181,222,175,229,222,179,176,183,188,186,254,208,225,255,224,219,210,212,202,265,213,243,231,260,234,227,231,232,202,238,215,255,241,229,255,228,258,239,282,225,218,224,213,277,273,213,221,225,278,264,254,248,243,279,231,249,290,295,297,266,228,277,251,265,297,235,296,298,280,244,311,264,285,308,275,249,289,279,310,296,321,314,286,325,319,313,318,293,328,276,271,297,312,260,313,286,336,336,296,323,284,347,339,307,346,314,283,278,325,320,346,304,348,326,322,359,291,358,334,305,306,300,326,358,343,325,310,295,315,373,324,300,329,314,318,381,313,305,360,307,324,346,383,336,353,335,378,367,388,380,389,351,370,394,330,332,388,383,357,402,402,407,365,335,386,408,341,372,393,352,390,416,411,390,382,355,405,344,420,346,350,394,427,359,362,366,416,431,413,358,392,384,407,397,367,428,406,438,369,419,375,411,378,393,436,389,420,420,382,455,408,389,454,436,418,413,383,446,425,408,444,403,417,408,397,420,404,436,424,448,425,416,400,425,419,427,428,405,449,460,448,457,465,426}

{107,108,109,110,111,112,113,115,116,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,139,140,141,142,143,145,146,147,148,150}

Returns: "Impossible"
{0,0,2,0,2,5,3,5,0,8,6,5,3,12,1,2,13,1,11,12,5,15,16,20,10,15,3,17,3,9,20,14,6,16,4,33,26,4,32,14,37,18,22,16,37,24,2,12,36,36,40,43,1,40,3,4,31,25,31,19,27,28,13,40,33,22,43,7,24,44,26,56,10,25,11,19,0,40,56,28,48,26,40,2,18,32,35,85,88,13,88,17,59,37,63,2,74,51,3,62,18,29,65,14,14,47,4,50,66,56,50,100,3,46,106,96,9,88,30,30,74,66,74,96,31,71,71,110,115,55,101,108,104,40,91,45,134,54,18,103,80,25,62,106,143,46,74,30,75,126,70,24,13,138,65,132,135,154,89,35,82,2,24,60,125,37,100,32,148,38,73,63,48,49,150,114,68,143,175,168,145,89,85,113,123,144,79,54,5,82,5,146,188,113,15,169,135,140,62,156,106,18,4,158,90,58,16,15,63,86,133,130,177,101,201,84,41,52,190,88,12,61,66,81,79,115,185,41,113,59,66,52,217,159,174,72,104,137,37,117,22,195,220,220,9,22,176,230,193,21,52,194,174,165,207,116,82,99,226,26,70,234,71,188,97,221,203,189,172,208,193,136,57,265,250,229,217,99,56,82,133,160,272,282,132,279,188,238,61,259,73,237,204,70,191,153,229,55,296,261,240,209,104,222,185,145,79,155,177,246,38,245,291,221,121,283,35,168,272,179,300,188,162,18,319,317,306,223,137,50,154,72,279,109,146,120,156,113,236,269,115,14,219,234,216,72,79,117,180,304,236,216,108,11,306,269,339,207,325,344,137,277,337,41,47,264,134,92,138,180,60,74,83,15,116,173,323,293,111,63,149,31,326,112,275,337,118,114,5,237,268,362,194,105,341,138,124,360,219,397,135,253,185,99,389,87,22,147,193,2,158,219,307,229,17,399,386,398,305,377,194,53,28,129,150,74,165,121,173,47,163,112,314,336,42,69,35,22,276,399,13,61,337,159,129,129,416,202,238,78,104,286,273,434,99,304,34,50,16,139,136,18,398,456,451,376,446,258,314,154,159,29,123,248,72,216,309,353,165,116,62,121,86,104,337,248,340,363,248,344,419,101,211,219,129,265,293,120,461,351,101,148,50,170,319,157,33,507,384,389,289,226,94,207,102,57,389,463,28,110,503,297,459,409,249,120,145,40,154,320,122,336,79,516,3,506,414,212,195,438,213,98,539,263,429,476,537,67,423,500,20,215,93,514,441,204,266,428,142,297,9,151,314,117,39,295,338,160,533,539,333,54,399,384,386,344,31,216,526,371,352,57,468,303,467,506,287,98,272,391,421,366,525,342,576,498,488,393,391,472,58,404,547,114,591,571,424,295,413,570,559,558,42,384,105,140,210,73,291,367,249,179,588,461,530,296,33,298,248,572,29,102,601,307,190,488,588,463,198,75,498,6,484,178,480,401,316,449,422,164,552,18,345,125,609,426,307,527,208,491,20,125,572,583,457,505,455,383,519,661,404,630,297,466,525,512,664,220,418,27,412,196,530,41,86,413,604,504,643,266,441,119,573,394,19,599,470,52,344,531,374,65,61,284,96,575,476,416,229,352,276,501,627,147,174,639,563,589,237,619,267,486,224,624,373,221,595,641,43,46,192,619,607,599,636,305,281,106,17,70,442,20,303,228,597,635,654,155,423,614,18,680,49,157,565,176,720,562,108,641,76,372,530,241,309,104,393,298,689,268,221,298,695,403,208,610,524,165,587,726,458,82,674,98,714,668,56,436,196,350,267,27,111,11,559,495,382,216,562,602,36,56,797,379,276,439,318,358,147,509,779,5,240,567,513,478,110,672,520,281,777,621,783,740,651,574,765,514,598,397,71,406,124,828,217,735,536,126,778,202,46,73,272,90,37,382,338,122,171,96,814,288,224,551,761,695,93,469,517,579,707,395,364,487,74,614,528,347,84,524,161,617,331,349,769,64,794,634,659,848,192,48,750,201,828,653,413,376,555,752,676,514,244,785,619,582,277,528,750,763,194,861,254,637,222,492,286,861,190,116,646,816,177,615,94,374,524,847,248,575,178,418,653,254,366,340,397,600,376,847,493,590,472,548,271,315,659,141,366,139,449,437,513,312,371,376,844,427,656}

{360,390,418,430}

Returns: "Impossible"
{0,0,1,0,1,4,1,1,8,5,4,8,2,3,11,15,6,14,12,5,11,17,14,18,18,13,20,21,11,17,24,6,3,25,28,9,20,16,1,27,37,30,41,37,39,41,35,29,37,5,41,4,11,36,38,44,38,50,12,36,47,5,28,62,46,46,14,62,54,23,7,30,39,68,6,67,11,16,47,48,43,59,22,13,38,12,28,29,83,27,11,87,77,31,3,20,24,46,82,91,77,56,2,33,70,96,96,50,28,40,40,98,100,5,100,9,71,30,22,116,23,15,44,68,119,56,3,106,79,35,6,66,62,4,84,30,25,134,40,71,41,76,0,94,86,89,96,140,79,44,105,96,79,27,105,114,44,91,101,141,70,17,108,134,54,80,84,145,35,13,125,150,152,171,49,40,112,127,4,162,161,21,110,83,63,9,149,32,71,94,82,65,23,122,55,8,12,19,79,125,44,146,113,203,7,58,21,54,86,145,62,120,12,79,7,186,168,179,5,166,177,212,217,105,123,131,29,47,167,132,131,192,199,31,8,175,217,61,10,90,7,59,92,153,80,205,245,184,201,27,223,176,9,238,196,234,153,135,254,119,55,260,75,108,243,256,237,121,12,59,6,105,14,69,157,57,127,233,176,171,145,275,136,183,12,31,260,232,189,78,265,144,144,72,176,206,74,223,259,222,188,10,24,151,59,113,62,73,260,184,260,269,260,31,42,74,117,150,259,199,238,228,113,275,9,213,214,121,267,95,61,216,0,201,291,184,95,285,7,72,92,246,209,75,225,56,277,56,215,128,267,176,148,222,171,111,82,309,191,133,63,127,113,262,219,284,284,37,298,42,211,264,306,66,189,221,199,154,166,160,87,85,185,63,280,91,298,155,176,129,286,139,167,272,257,148,119,230,88,224,300,250,267,130,229,231,201,284,151,244,290,146,107,290,280,229,248,211,192,163,91,107,146,288,162,195,238,190,227,239,174,119,142,140,102,126,144,260,274,224,173,307,228,193,179,205,303,206,310,303,123,122,209,155,195,132,129,152,164,267,232,160,208,287,133,174,218,165,297,192,200,209,264,285,215,267,223,286,204,177,265,225,309,207,253,303,306,290,214,221,242,303,269,301,291,182,195,262}

{90,97,102,111,115,116,120,146,158,165,166,172,225,254,286,297,321,326,328,348,358,369}

Returns: "Impossible"
{0,0,1,2,0,0,4,2,0,7,3,2,11,12,12,11,6,7,14,15,12,20,11,22,24,12,2,18,6,7,6,26,23,2,4,11,32,31,26,21,6,29,15,17,7,13,8,25,15,41,21,47,13,43,38,47,25,3,31,29,5,0,61,22,27,13,23,4,8,14,41,20,54,70,62,53,15,8,44,67,78,33,23,65,41,31,17,5,48,8,48,44,20,53,42,51,28,77,30,22,54,27,50,47,62}

{2,4,5,6,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,26,28,31,32,33,34,35,36,39,40,41,44,45,46,47,48,50,53,54,56,57,58,59,60,62,63,64,65,67,68,71,72,73,75,76,77,78,79,81,82,84,85,87,88,90,91,92,94,95,96,97,98,99,100}

Returns: "Impossible"
{0,1,1,0,4,1,1,4,8,9,3,10,9,7,6,1,0,7,16,9,8,20,8,2,7,19,20,3,25,4,22,7,32,17,7,9,12,32,8,17,30,16,4,9}

{9,10}

Returns: "Impossible"
{0,1,1,1,1,4,5,6,8,0,2,3,12,2,10,11,3,0,4,13,3,19,11,11,22,12,1,18,23,12,29,2,3,17,15,22,18,9,27,20,2,26,12,3,22,4,25,24,4,5,29,29,25,11,10}

{20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37}

Returns: "Impossible"
{0,0,2,1,0,3,3,5,5,9,7,0,10,7,7,15,6,14,0,2,4,11,18,22,19,25,15,26,28,19,19,31,3,0,26,30,4,34,16,37,27,40,20,2,28,12,21,32,14,16,35,22,38,12,46,46,14,15,39,1,6,18,58,13,63,59,34,44,28,0,14,38,7,40,28,55,61,8,32,20,20,37,67,83,3,65,16,10,80,77,15,32,64,75,24,32,3,36,55,13,88,42,89,47,25,29,88,54,35,25,38,63,49,112,72,60,24,111,39,39,33,100,117,109,122,122,111,29,53,75,50,99,91,35,16,1,107,34,106,17,88,114,78,6,82,104,70,21,91,82,91,121,13,114,88,98,9,34,5,135,148,142,0,8,54,72,96,19,47,113,11,126,51,161,18,45,83,23,173,22,66,63,44,131,75,113,173,1,149,88,141,99,14,42,119,38,134,106,103,38,106,52,108,103,190,39,111,199,118,57,137,15,22,23,10,18,85,150,14,117,153,90,55,20,43,106,45,66,188,130,75,157,215,106,166,52,173,66,194,79,44,132,30,242,118,105,187,191,177,206,67,215,61,76,88,223,152,53,256,253,252,44,65,80,252,253,62,198,77,74,187,116,106,187,85,75,174,168,205,240,68,66,182,68,144,199,73,103,123,102,99,173,166,157,107,124,150,195,192,240,191,207,87,244,208,105,224,123,192,164,160,142,204,209,241}

{3,7,10,14,19,21,22,23,24,25,26,28,29}

Returns: "Impossible"
{0,0,0,1,4,4,0,6,8,9,4,3,11,12,10,1,4,2,7,6,5,12,11,3,22,5,18,6,4,10,22,25,0,31,6,23,22,31,16,10,37,28,23,31,19,2,25,23,4,17,47,34,16,39,51,10,26,47,29,41,31,54,2,24,30,48,50,50,43,15,37,33,15,48,26,7,53,52,37,32,50,27,49,35,43,37,31,44,29,38,11,45,15,28,54,46,51,41,35,33,34,29,46,46,31}

{5,6,7,8,9,10,12,14,15,16,17,18,19,21,22,23,24,26,27,28}

Returns: "Impossible"
{0,1,2,3,3,0,5,3,6,3,10,9,4,11,4,2,3,14,14,2,8,5,22,9,4,24,19,25,26,16,19,4,25,19,20,32,21,14,35,10,35,35,32,23,10,22,19,9,46,24,20,46,50,37,21,30,25,47,41,40,14,39,27,60,50,47,35,16,6,30,34,1,9,41,41,36,66,12,53,38,79,78,53,25,56,64,77,21,30,21,19,40,87,32,87,83,54,20,57,73,51,6,51,13,84,96,15,48,62,4,47,60,51,17,38,25,40,74,79,83,12,6,91,121,7,125,16,125,37,33,9,92,63,78,95,49,130,69,4,30,84,138,5,16,17,83,63,29,139,14,72,3,8,61,99,74,98,89,65,15,137,31,9,65,53,9,38,114,117,68,40,80,72,42,116,101,144,47,14,176,30,26,51,97,170,81,55,117,89,159,23,92,136,118,2,192,150,31,46,155,13,62,27,9,47,146,54,79,85,174,151,24,92,162,103,2,41,30,129,17,67,104,92,57,90,133,45,5,81,26,210,225,152,94,194,140,73,46,105,99,137,64,61,111,162,68,236,225,132,11,114,117,209,172,185,120,0,139,122,220,157,36,58,45,89,124,68,191,72,255,268,189,86,117,92,7,187,199,180,2,229,126,107,171,42,242,233,148,120,0,287,212,40,99,51,83,56,292,247,103,235,217,23,189,41,133,2,11,105,211,307,231,196,173,144,119,67,7,33,109,231,63,274,41,173,112,20,157,304,116,54,133,204,211,237,177,223,150,207,156,2,161,204,18,168,100,218,215,265,311,96,311,92,86,262,54,169,287,222,334,167,227,108,319,183,20,30,271,269,299,112,91,190,158,99,150,331,176,316,29,248,120,214,231,339,2,189,384,140,186,57,18,274,201,23,359,316,345,394,46,95,72,42,276,110,216,327,247,229,317,55,271,87,111,292,209,222,190,163,214,51,350,276,420,349,254,228,404,284,161,208,128,0,131,318,387,188,429,67,392,70,311,381,244,393,216,336,393,57,64,401,179,303,289,151,233,119,204,223,94,400,318,227,138,453,316,133,181,326,39,197,102,160,71,318,108,119,323,456,34,209,237,345,457,250,47,486,93,310,434,183,457,435,463,8,95,35,252,138,360,431,16,21,192,429,8,152,270,50,326,312,143,354,87,423,77,190,81,362,390,396,268,221,239,108,479,299,213,283,62,490,63,226,171,160,144,461,361,537,349,361,236,244,267,306,314,41,482,437,477,94,301,20,130,382,193,214,408,4,557,266,410,149,373,36,183,374,72,60,345,228,488,190,423,557,216,353,15,132,292,151,69,312,13,255,369,19,114,462,176,376,440,328,486,232,65,583,303,142,35,320,144,251,179,521,375,479,90,95,481,116,224,293,320,492,529,384,492,84,211,244,177,162,132,580,263,425,89,43,437,222,154,78,238,465,508,142,596,69,403,342,263,467,428,57,302,345,562,236,499,565,249,410,403,455,514,479,228,190,207,248,205,180,467,220,591,215,302,463,122,313,150,513,460,289,515,113,221,187,364,280,508,558,368,490,165,388,335,192,136,176,445,588,205,184,387,433,238,520,514,478,548,261,550,199,434,197,442,128,352,545,580,560,576,127,183,208,500,193,142,448,247,459,392,422,424,228,471,261,424,356,270,478,475,311,461,568,593,234,369,370,372,514,167,297,175,341,308,315,469,332,591,233,547,284,180,316,261,216,397,486,281,446,447,329,517,416,412,279,390,314,338,395,587,445,228,546,532,195}

{186,187,190,191,192,193,194,195,197,198,199,200,201,202,203,204,205,206,207,210,211,214,215,216,217,218,219,220,222,223,224,225,226,227,229,230,232,233,234,235,236,237,238,239,240,241,244,245,246,247,248,249,250,251,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,270,271,272,273}

Returns: "Impossible"
{0,0,2,3,3,4,2,7,0,2,8,9,4,1,12,7,12,1,0,2,20,8,5,19,1,12,0,15,3,11,14,18,18,18,26,7,12,4,7,38,39,17,16,2,36,16,37,17,45,23,16,27,34,49,41,19,54,24,28,10,33,51,52,9,24,50,51,54,25,39,32,7,28,53,5,39,14,71,74,31,60,51,11,69,51,54,6,55,40,38,58,74,24,41,55,55,84,56,28,29,16,92,11,52,30,80,63,64,10,90,53,82,76,65,6,12,7,10,5,104,32,109,31,110,45,120,116,0,78,70,79,70,128,56,125,26,50,132,87,73,25,124,64,52,114,108,146,87,71,89,124,35,39,27,33,143,81,81,12,25,106,64,113,71,100,138,24,23,141,167,148,151,139,162,118,105,12,127,104,111,61,91,18,143,15,108,105,111,31,120,44,0,89,13,84,156,161,82,158,126,115,192,29,154,199,200,42,182,70,10,186,133,87,130,202,87,139,121,203,14,216,147,49,168,212,216,99,125,111,58,45,9,131,141,145,137,119,133,49,85,140,136,143,209,149,58,146,187,28,22,113,3,111,137,102,222,249,234,142,9,90,208,76,202,65,117,126,53,72,263,249,108,38,157,221,73,24,236,262,141,202,210,236,174,135,22,71,71,69,228,283,124,264,233,196,133,90,69,46,205,125,235,161,82,242,76,75,272,206,279,45,103,311,282,156,272,180,137,111,297,230,231,206,171,232,256,264,310,287,318,160,85,102,81,70,314,183,248,147,330,85,214,170,278,311,138,111,262,198,105,282,323,296,275,249,198,91,308,108,228,133,215,350,111,231,197,179,336,219,279,184,333,178,305,262,264,264,182,278,133,334,209,184,303,140,301,385,279,178,292,129,299,324,295,242,140,266,187,241,289,325,234,346,326,197,363,241,234,166,306,262,215,359,202,177,286,220,289,165,209,406,206,227,355,408,239,403,420,229,334,300,271,380,429,242,260,389,352,184,294,334,419,228,179,208,256,377,393,296,254,210,231,428,210,318,430,198,220,383,366,298,396,388,370,212,397,418,394,295,391,274,347,220,450,214,274,284,285,437,236,423,388,242,229,458,447,390,384,400,444,422,446,243,383,320,286,303,474,410,450,237,269,332,282,356,249,497,387,384,331,385,312,314,255,410,450,372,397,471,314,273,453,319,432,373,271,434,384,357,458,431,352,341,312,348,496,421,394,446,351,420,292,498,397,297,416,382,423,337,335,318,456,390,403,461,426,508,483,528,436,478,489,532,340,385,563,395,395,398,407,518,571,384,528,473,510,405,431,572,562,528,375,403,504,564,452,496,511,411,376,514,556,363,456,536,428,428,421,422,531,486,558,549,451,485,462,408,482,404,405,531,445,593,571,542,446,405,435,587,572,463,492,539,481,589,482,579,572,467,406,367,467,627,415,593,539,621,377,538,383,559,522,583,541,642,457,484,430,626,599,597,597,475,545,415,579,520,470,442,625,544,464,618,417,589,643,503,491,634,496,652,524,634,523,632,650,626,504,529,549,443,563,522,650,589,487,547,619,663,619,601,565,615,467,594,564,493,556,602,590,605,549,611,687,653,603,608,610,702,520,487,581,497,606,477,557,545,697,563,684,465,483,566,558,515,688,541,722,522,684,514,721,507,525,482,473,623,597,724,480,536,565,672,498,720,629,689,610,662,578,618,595,627,506,677,554,715,638,623,563,721,660,588,570,626,519,564,635,553,514,677,636,656,663,533,532,641,639,658,550,709,671,601,602,552,718,592,579,638,532,664,549,605,670,546,630,681,717,721,683,692,563,658,547,541,688,547,547,619,578,556,654,639,568,663,675,619,674,617,721,630,673,696,638,722,617,586,660,717,648,651,690,671,711,605,616,693,574,648,664,606,596,652,721,640,708,670,663,680,691,617,634,660,621,588,604,669,661,685,713,659,616,660,670,661,659,722,705,602,718,639,678,681,697,638,711,631,724,616,627,685,675,641,681,702,683,633,677,675,698,708,720,640,712,628,672,717,717,647,697,661,651,676,683,694,689,702,700,654,650,675,673,699,654,685,704,709,682,657,701,698,660,684,672,713,669,689,665,667,676,709,704,707,711,694,694,705,678,695,724,678,680,718,701,702,696,715,697,713,685,702,721,688,724,699,709,691,691,711,703,707,713,716,724,713,724,721}

{1,7,8,9,11,12,14,17}

Returns: "Possible"
{0,0,1,3,2,1,1,3,1,3,8,3,7,7,6,4,2,3,4,16,17,7,5,14,3,12,19,27,17,6,19,9,14,13,26,14,21,17,36,20,24,37,35,34,23,45,38,32,34,35,39,41,37,53,49,33,42,41,42,49,44,43,58,41,47,45,44,63,54,58,59,55,62,55,61,61,64,70,66,58,66,67,70,63}

{2,3,4,5,6}

Returns: "Possible"
{0,1,0,2,4,4,6,5,0,5,2,3,8,2,13,3,14,0,8,5,2,14,18,17,19,12,24,10,27,15,20,19,23,27,2,13,26,17,38,22,7,18,12,6,19,18,38,33,34,4,5,37,18,20,19,46,37,2,15,35,48,55,19,47,56,47,7,62,57,39,28,67,8,1,5,63,45,77,45,64,21,4,1,64,39,8,70,40,87,71,25,49,43,19,26,22,12,10,42,8,67,49,60,15,30,8,71,91,2,94,29,68,21,81,48,114,36,27,12,44,90,63,60,92,76,108,11,60,92,96,4,40,107,113,112,88,28,7,66,9,104,140,59,64,109,45,9,88,88,148,95,134,131,25,83,22,34,112,109,148,61,101,37,33,43,9,20,33,160,105,54,18,113,136,72,58,61,160,24,57,93,175,180,10,66,93,55,33,65,86,143,148,159,181,134,131,157,190,37,93,67,109,49,184,164,169,105,165,205,143,69,38,66,155,113,4,112,163,69,25,195,169,195,15,163,167,181,219,203,201,30,34,28,152,211,170,34,25,137,100,193,82,185,14,111,86,53,208,8,186,119,81,202,183,151,88,62,23,143,68,23,119,173,26,115,250,215,17,45,144,176,189,179,173,254,69,259,49,271,42,172,44,77,81,154,97,97,260,186,13,126,151,155,63,82,234,219,67,137,244,292,121,189,130,41,267,96,68,10,9,251,125,234,303,233,174,47,108,174,168,279,82,36,51,186,89,253,158,13,267,240,20,196,34,103,168,266,96,11,62,258,276,204,87,165,128,21,323,301,211,247,54,203,308,65,208,225,328,131,182,329,298,306,210,153,203,69,140,330,129,244,151,49,208,363,211,67,101,296,276,341,191,296,141,291,367,135,329,171,164,342,318,246,248,355,236,251,390,195,277,253,240,256,332,334,383,124,307,341,282,275,111,127,186,190,261,380,164,212,219,375,259,102,213,364,153,262,135,271,362,172,305,283,186,194,345,350,435,234,153,353,267,211,122,390,318,396,296,392,442,267,166,404,176,439,280,285,202,189,180,435,187,165,148,159,355,418,333,426,337,383,265,370,274,313,228,430,207,172,153,323,344,179,399,414,451,329,405,171,430,248,370,450,419,279,347,451,229,450,216,312,223,213,312,204,278,315,315,443,282,443,200,226,268,251,426,216,424,392,444,387,279,196,446,225,233,406,407,444,286,223,336,281,295,286,416,414,295,437,283,435,288}

{6}

Returns: "Possible"
{0,0,0,2,0,5,2,4,4,9,8,10,8,9,12,13,16,13,14,15,16}

{2}

Returns: "Possible"
{0,1,0,1,1,5,5,7,4,0,1,5,5,7,7,10,10,14,4,17,13,16,15,8,20,11,20,14,18,28,14,17,19,24,27,17,34,23,27,35,35,27,26,33,29}

{4,5,6,8,9,10,12}

Returns: "Possible"
{0,1,2,0,0,3,0,1,8,8,1,7,5,11,8,6,13,12,16,13,17,6,4,16,12,12,20,1,25,25,26,13,10,8,4,6,8,30,23,37,16,38,42,24,39,32,24,23,18,43,22,22,25,31,42,36,34,38,30,41,40,32,32,35}

{1,2}

Returns: "Possible"
{0,1,1,3,0,4,5,0,0,1,9,2,10,9,1,6,8,16,10,7,8,12,2,6,7,5,19,0,11,27,1,24,29,5,12,15,3,10,37,1,18,30,16,14,39,22,12,6,44,8,39,23,16,19,41,41,46,52,38,39,19,43,53,22,48,46,33,42,54,43,35,30,52,35,52,44,49}

{1,3}

Returns: "Possible"
{0,1,1,1,2,3,2,6,4,2,10,5,5,12,7,12,11,12,17,18,15,15,21,18,19,24,19,20,22,26,25,30,32,33,28,31,33,34,31,34,39,38,41,36,39,42,46,42,42,48,48,50,52,51,53,55,51,52,56,54,56,58,60,58,59,61}

{2,3,4,5,6,7,8,10,11}

Returns: "Possible"
{0,1,0,3,3,5,5,7,6,8,9}

{2}

Returns: "Possible"
{0,1}

{1}

Returns: "Possible"
{0,1,2,1,2,1,1,5,1,7,2,5,11,2,2,8,15,12,9,12,20,10,0,7,18,14,24,8,12,6,20,11,32,30,2,3,21,31,30,25,36,41,9,39,2,36,1,41,13,30,40,0,3,4,7,25,1,16,30,28,41,28,41,45,12,23,66,45,15,57,62,66,39,69,48,22,35,72,66,70,29,8,13,54,16,68,42,66,77,5,12,55,19,49,20,31,86,86,76,72,70,94,42,60,54,52,31,42,104,20,37,101,3,100,87,54,8,26,72,29,36,26,26,57,77,70,6,37,5,56,43,70,40,60,8,114,87,60,85,47,60,111,48,10,34,75,57,36,20,100,141,103,111,19,141,78,99,126,23,66,160,131,101,29,9,123,33,48,17,149,91,53,25,152,50,8,88,102,138,24,115,24,86,11,145,111,68,22,122,22,144,122,142,1,132,195,36,88,119,43,0,74,77,21,101,77,34,4,189,193,114,38,161,112,30,190,62,68,214,209,193,193,44,82,199,163,49,78,146,64,56,39,121,112,70,85,228,209,154,130,67,132,87,18,69,170,232,243,50,98,56,123,3,62,197,78,112,190,193,204,193,117,157,223,218,219,3,22,4,213,94,100,189,216,62,84,167,70,19,231,41,262,106,161,131,74,250,273,264,112,286,243,47,154,146,104,74,151,243,236,294,95,129,33,217,205,239,160,117,64,268,269,74,166,203,189,65,55,60,0,298,269,253,69,285,210,164,213,214,169,172,291,121,217,62,203,304,95,143,58,64,253,201,322,218,179,161,340,282,257,296,318,304,187,283,196,15,349,106,338,226,221,92,240,323,140,187,262,59,201,130,371,93,169,243,130,284,268,272,86,60,266,46,112,376,335,323,255,317,191,337,221,11,193,116,261,383,144,338,327,376,91,154,193,239,331,90,120,10,11,234,16,163,124,93,185,272,16,38,225,91,119,175,391,253,302,268,139,229,364,188,18,432,105,108,241,31,304,74,128,81,178,327,196,1,199,411,126,12,368,204,192,227,446,273,63,33,449,423,311,179,287,343,106,344,357,226,399,1,358,417,311,86,91,362,260,55,220,42,194,283,231,235,311,252,127,327,295,159,32,45,75,78,297,23,19,204,361,19,176,318,119,170,177,56,127,359,238,31,30,134,10,380,266,31,170,19,56,416,395,323,455,424,73,381,227,231,514,269,185,337,229,176,50,457,421,492,505,321,119,319,26,386,455,135,184,223,158,524,220,72,378,432,460,310,17,163,482,445,522,430,205,55,388,262,366,208,563,282,87,164,477,35,468,233,78,224,107,130,472,40,247,304,178,451,312,470,104,409,452,215,500,428,470,512,480,399,268,105,297,551,515,417,461,254,213,169,545,506,21,98,396,511,135,408,372,310,583,536,414,354,389,388,6,98,349,12,18,227,234,15,198,292,408,421,156,389,148,144,101,440,155,391,302,398,428,400,365,275,448,584,590}

{2,3,6,7}

Returns: "Possible"
{0,1,0,0,4,2,5,5,6,7}

{1}

Returns: "Possible"
{0,0,2,3,4,5,5}

{3}

Returns: "Possible"
{0,0,2,0,4,0,2,2,5,5,0,9,1,2,1,1,15,15,14,2,0,6,13,1,4,6,5,2,17,29,13,11,2,23,23,31,9,7,29,6,15,19,42,38,5,12,36,33,29,29,9,34,2,28,10,4,9,36,49,46,55,27,61,21,6,30,11,45,64,35,10,14,18,73,74,14,45,0,49,9,3,55,0,34,3,56,15,14,84,73,54,18,80,1,48,65,61,56,78,11,76,83,18,79,64,73,57,4,81,25,62,94,31,81,5,32,15,19,97,106,83,26,45,11,96,8,113,100,110,121,45,131,66,3,59,59,38,105,17,113,87,63,77,101,91,2,116,51,140,58,147,139,12,125,143,28,148,26,136,50,75,82,148,37,67,72,151,16,149,68,26,92,74,166,135,172,103,129,107,91,48,66,42,100,179,76,91,78,111,120,126,137,84,91,47,180,97,158,51,166,144,119,193,69,129,139,64,152,134,79,134,151,115,154,102,116,209,202,67,160,95,102,69,142,212,225,209,127,213,197,95,174,109,215,89,166,214,180,108,206,127,157,207,91,190,216,177,187,104,113,99,117,178,137,181,168,197,208,152,125,124,114,193,167,161,154,130,149,122,165,141,256,231,220,206,269,187,199,234,189,226,153,214,135,268,146,177,254,279,251,160,169,275,219,150,259,208,175,149,145,191,290,281,164,174,216,160,260,206,237,171,279,292,198,253,281,298,223,212,268,275,172,286,204,273,213,269,205,327,225,294,180,177,292,250,245,312,201,236,295,211,313,237,278,342,221,247,243,226,328,269,287,236,261,212,271,275,339,294,208,320,360,290,269,364,270,298,307,326,237,334,350,317,350,240,289,238,358,237,348,275,228,372,257,301,325,349,296,369,373,260,291,323,246,382,364,387,295,276,366,274,282,382,302,376,313,402,336,357,297,325,396,376,367,299,290,409,275,336,267,269,410,409,379,362,290,339,332,292,404,395,420,342,413,393,307,351,285,285,378,420,297,417,293,341,354,369,301,425,360,399,434,310,397,302,395,357,357,390,368,336,348,399,350,363,395,405,325,412,345,407,448,397,452,454,437,330,437,462,399,453,469,413,357,412,421,334,395,366,432,404,451,356,402,401,431,408,435,467,445,459,484,484,441,460,434,356,381,460,493,490,428,472,467,513,476,379,454,469,473,447,489,392,410,464,441,440,505,411,475,487,503,482,447,472,527,392,512,493,527,464,404,397,493,525,400,471,484,414,473,437,398,438,542,445,517,550,469,463,484,451,459,480,497,459,443,541,423,469,452,567,471,557,422,513,450,521,522,459,450,498,454,527,540,473,564,495,538,435,568,505,482,548,494,475,508,572,484,556,477,464,489,538,505,502,599,554,507,586,525,559,466,521,592,497,571,596,463,499,618,498,527,568,592,494,587,600,626,558,625,568,522,588,524,606,615,538,603,498,574,578,542,544,612,611,554,529,584,601,609,512,646,616,602,613,542,570,600,637,552,629,507,575,517,606,562,589,513,588,565,531,648,630,662,571,561,620,541,534,546,662,541,621,663,544,635,648,565,616,594,587,596,670,616,544,677,617,542,610,556,570,624,624,682,634,564,607,688,663,704,625,600,603,607,693,653,640,572,696,655,628,642,591,703,596,651,617,656,600,655,629,696,612,625,675,654,678,686,632,707,625,593,612,631,708,656,649,677,605,713,676,705,710,667,680,607,690,687,708,707,625,637,610,661,646,681,702,631,669,712,651,617,700,622,705,626,710,674,706,662,698,701,665,673,667,671,646,701,701,703,669,655,709,709,703,692,679,651,650,691,689,686,656,657,701,672,655,712,707,681,672,688,662,668,660,682,666,676,712,679,686,704,675}

{5}

Returns: "Possible"
{0,0,1,1,3,5,6,0,4,9,3,2,11,8,8,15,5,5,4,10,7,15,11,18,17,11,13,0,16,0,2,27,5,1,12,14,7,14,18,3,0,5,19,36,17,0,4,24,10,10,38,5,31,32,8,17,21,15,28,16,30,44,1,24,33,43,18,12,65,59,23,39,11,37,2,69,62,77,19,43,2,34,54,76,62,3,45,4,21,23,76,77,12,77,56,66,31,28,7,92,100,58,40,41,66,33,91,91,6,97,76,109,109,57,67,81,54,116,75,86,95,22,5,58,24,17,4,29,77,79,84,21,23,108,95,85,101,6,13,0,55,106,54,130,93,122,122,82,131,94,54,92,133,40,5,132,102,126,144,109,70,157,134,51,92,77,148,62,89,10,93,139,53,173,116,78,151,129,118,118,44,116,80,114,66,131,35,85,152,35,94,53,47,156,36,170,37,140,13,193,25,95,24,184,186,69,200,84,36,182,143,14,162,27,101,84,38,35,140,103,113,28,204,91,167,143,28,127,66,191,115,139,95,121,234,28,142,198,134,201,234,114,199,73,144,174,114,134,34,162,154,234,153,240,190,193,139,54,180,201,236,89,98,109,246,106,117,6,117,240,73,257,206,117,185,275,5,46,158,115,267,19,148,8,227,46,84,171,247,152,81,84,59,120,112,30,109,238,140,34,0,236,53,272,280,86,93,136,256,186,302,184,304,44,165,195,161,201,87,161,228,320,231,269,305,175,297,93,172,212,327,41,117,83,217,282,83,175,68,293,212,304,314,171,176,194,281,254,213,199,186,273,178,330,315,326,82,105,91,261,159,226,326,102,235,282,357,101,83,189,338,335,168,77,74,267,340,199,167,249,353,169,238,143,251,312,137,95,197,228,276,113,162,232,273,278,305,332,397,347,220,132,118,320,273,172,153,251,139,111,365,259,178,236,230,298,125,149,187,419,309,267,328,141,177,375,161,147,230,332,228,346,400,361,412,320,329,227,169,305,145,273,157,267,229,366,350,308,196,231,390,233,265,427,282,329,230,412,172,257,267,273,190,432,335,288,255,351,447,422,404,389,227,388,308,195,342,223,446,332,369,200,298,210,247,250,251,287,379,486,233,438,233,354,379,363,388,454,421,404,428,460,314,240,485,319,315,209,255,384,323,480,438,312,469,362,304,464,355,492,495,489,419,302,404,344,373,251,253,315,467,384,232,455,362,279,248,456,487,318,309,381,246,317,502,287,274,452,424,398,326,356,304,494,437,323,419,352,458,262,275,484,330,433,346,265,442,322,323,290,399,271,437,360,484,423,332,434,492,350,463,339,301,347,430,394,456}

{14,15}

Returns: "Possible"
{0,1,2,0,2,3,5,2,0,2,5,8,8,1,7,12,16,10,7,8,16,15,19,14,14,12,19,16,16}

{2}

Returns: "Possible"
{0}

{1}

Returns: "Possible"
{0,1,1,2,4,1,1,1,1,0,3,3,5,9,3,9,9,13,13,13,14,4,9,14,24,3,3,12,11,15,25,10,10,22,11,30,13,25,16,18,26,23,31,20,22,31,31,32,31,30,31}

{3,5,11}

Returns: "Possible"
{0,1,0,2,3,1,0,3,4,9,1,11,0,5,7,2,1,3,2,9,19,15,6,1,5,11,7,20,20,12,20,29,7,24,14,17,21,27,29,8,5,17,10,23,21,6,26,16,24,25,10,14,11}

{7,8,9}

Returns: "Possible"
{0,0,0,1,4,2,1,4,2,2,3,5,4,1,5,8,7,7,3,9,20,20,18,22,0,9,4,6,21,24,25,2,23,33,13,7,15,36,29,7,7,31,21,21,37,35,3,44,22,42,21,4,37,14,18,41,18,36,33,4,15,17,54,16,37,11,49,2,13,8,39,70,33,27,65,3,29,44,66,72,36,61,26,9,56,76,26,41,33,59,88,14,87,71,6,48,84,86,30,74,37,88,17,20,76,77,59,66,1,52,6,98,30,50,108,65,69,35,11,42,90,37,36,24,21,118,25,23,2,93,114,103,19,7,132,69,29,41,104,27,49,126,128,107,42,63,124,80,60,39,86,114,73,136,77,61,90,135,98,135,85,133,124,110,39,134,112,43,72,64,81,44,126,50,103,57,163,96,122,73,72,84,78,75,71,87,157,67,94,140,149,71,165,128,77,182,142,145,140,184,200,185,129,130,132,164,127,109,138,176,121,97,138,161,186,130,96,98,102,174,100,169,204,94,207,140,136,218,216,196,225,150,209,142,111,124,211,127,167,189,236,185,171,232,168,210,219,137,215,165,243,179,218,187,236,181,147,205,181,217,145,170,207,198,205,185,244,267,246,245,157,172,253,259,180,260,163,235,263,268,258,190,161,192,175,212,192,228,197,173,250,232,202,270,274,275,253,268,221,223,247,186,282,185,194,305,177,199,264,207,215,301,288,233,189,204,257,246,238,224,244,264,300,283,209,272,263,251,322,258,283,285,277,210,320,288,270,212,243,210,227,329,216,285,261,232,329,324,293,335,257,262,290,235,263,354,300,241,289,358,269,256,300,303,324,275,313,355,273,348,324,258,317,301,289,275,342,296,375,372,365,319,364,337,371,368,268,323,339,318,279,318,290,370,286,277,383,368,271,367,381,350,354,298,319,371,340,316,320,351,346,294,353,326,333,369,312,327,398,312,353,364,409,420,393,421,380,318,370,326,308,304,431,375,361,419,309,360,318,330,427,389,313,408,385,357,395,415,416,370,405,332,378,376,357,331,391,422,392,331,375,453,334,387,365,445,384,428,365,386,469,414,472,379,458,351,434,356,408,434,475,480,463,384,394,424,397,430,404,463,398,377,435,484,420,413,490,419,390,483,397,490,413,446,469,470,505,441,466,482,392,479,423,405,428,437,478,394,471,495,473,521,504,438,460,473,441,438,428,446,439,503,525,429,510,406,470,479,491,450,449,535,474,435,504,472,513,469,505,529,497,517,424,549,521,462,488,442,490,502,487,484,492,560,480,504,522,565,472,472,514,544,478,569,484,559,454,517,493,558,532,549,560,558,529,467,462,521,547,501,546,583,576,580,527,497,547,486,556,585,519,560,517,562,578,545,604,511,563,482,578,518,521,593,515,548,501,516,594,547,606,522,586,534,577,572,618,544,588,503,584,617,611,597,518,625,589,611,600,548,519,567,618,605,607,532,575,581,521,648,576,568,540,597,636,633,602,589,649,590,655,646,644,660,557,536,606,603,584,646,591,569,610,589,645,618,638,624,565,563,662,668,627,602,673,564,632,595,643,685,634,611,610,566,690,674,595,697,680,683,686,612,624,614,660,639,604,660,618,624,596,601,694,692,615,648,647,615,637,615,671,629,595,677,715,686,666,624,630,660,646,643,721,611,708,691,633,709,609,728,647,649,679,683,706,694,629,642,727,723,653,673,673,727,741,694,661,698,725,715,636,654,676,660,639,738,727,641,740,722,686,662,670,654,658,701,735,653,657,739,653,673,731,719,705,684,669,665,738,701,724,705,737,702,696,666,704,681,722,706,701,719,691,735,711,678,726,683,725,716,718,716,683,710,690,712,714,714,731,694,713,720,735,703,732,714,716,737,719}

{1}

Returns: "Possible"
{0,1,1,1,2,2,1,7,6,0,2,5,3,4,1,8,9,17,0,1,14,2,16,11,9,25,22,17,28,11,28,29,31,29,8,18,36,16,33,3,14,32,38,32,8,9,1,22,38,36,31,9,42,45,46,1,11,37,19,15,35,56,24,17,35,8,21,45,56,37,61,20,22,61,9,34,40,23,61,42,2,71,39,31,38,78,48,23,62,10,77,89,64,80,18,94,5,73,64,60,6,41,19,31,1,101,94,25,89,35,82,89,88,41,5,5,21,90,65,96,19,33,15,3,121,4,18,39,110,68,7,85,0,75,96,103,118,135,33,23,46,46,119,118,24,137,103,29,144,76,29,104,81,44,139,113,77,7,51,81,122,59,87,163,63,124,9,113,7,161,152,118,141,22,11,134,0,126,33,101,137,158,57,60,179,23,34,183,20,1,32,0,36,151,55,17,75,194,90,16,45,103,128,108,96,83,150,188,71,25,191,128,41,86,1,88,139,37,42,161,147,23,216,119,11,164,83,185,123,95,144,217,82,53,123,7,142,204,193,221,4,189,96,57,168,237,243,15,202,87,162,127,147,208,203,251,48,162,155,50,27,227,40,39,88,49,228,9,226,194,262,76,135,80,6,34,18,86,24,94,130,65,224,137,186,240,21,79,174,102,12,111,152,186,278,15,158,41,87,156,105,285,281,30,233,208,82,82,205,115,255,128,203,161,171,199,229,11,136,183,170,65,312,62,262,116,112,188,320,125,204,62,206,308,201,183,222,115,11,337,191,30,259,121,59,182,114,245,260,80,157,57,197,348,270,162,185,250,81,267,137,278,81,230,323,64,303,362,257,221,249,214,199,118,150,287,336,22,292,176,320,266,30,342,332,294,34,363,237,337,235,360,163,387,124,95,326,99,371,43,125,360,358,119,111,94,296,227,334,149,388,118,153,67,339,309,379,149,107,13,341,349,183,118,137,157,368,159,75,11,207,223,292,88,405,115,258,87,220,348,112,40,7,0,363,300,230,311,161,7,84,167,390,434,449,369,423,379,202,321,272,259,98,218,317,54,401,62,246,273,271,187,262,424,360,362,422,215,413,259,427,418,63,375,449,300,202,486,179,390,279,33,402,452,358,143,422,136,55,116,409,2,457,455,20,397,39,65,277,232,311,187,169,360,319,388,145,27,56,185,217,330,224,15,213,394,3,131,423,200,60,433,467,173,315,66,384,211,429,203,299,295,309,163,147,422,271,378,367,461,314,157,421,155,248,538,246,127,103,185,361,121,477,309,539,121,169,328,381,5,372,361,158,115,22,357,472,0,399,363,242,185,220,196,140,446,549,259,471,279,488,387,209,504,314,83,372,476,212,383,9,84,265,162,365,304,271,372,306,200,118,12,427,481,343,595,114,201,89,539,396,268,520,554,482,154,510,499,25,262,586,81,271,342,565,132,596,505,100,569,8,615,394,612,239,602,156,477,200,582,352,408,449,351,588,530,83,626,651,185,379,261,308,592,380,16,247,277,530,417,339,584,102,657,590,489,162,474,48,541,390,465,242,482,310,229,114,157,536,134,253,66,90,274,647,687,353,397,247,226,211,129,607,565,293,256,613,31,95,414,22,425,563,553,274,330,436,638,225,81,269,598,26,722,120,683,692,364,481,37,57,330,401,722,591,275,661,69,645,445,394,33,89,699,135,552,84,23,580,267,380,656,292,56,564,755,670,613,619,185,665,332,179,221,389,417,75,120,653,236,601,67,637,277,684,608,443,268,294,306,776,763,143,255,600,195,244,355,277,406,609,327,791,29,482,206,452,437,125,145,321,782,80,671,180,564,433,582,251,282,124,293,641,735,363,510,736,606,687,638,704,745,576,732,315,687,417,186,165,414,449,524,380,543,265,781,361,792,262,124,611,361,737,624,402,283,271,247,711,396,301,185,218,345,530,599,147,786,454,559,342,548,411,202,563,299,385,788,726,466,550,322,447,461,469,775,711,736,188,588,406,336,419,521,274,447}

{3}

Returns: "Possible"
{0,0,2,2,1,0,3,7,6,0,7,10,10,1,1,8,6,1,3,17,0,9,15,13,3,15,16,7,24,11,13,27,3,27,5,16,32,6,6,20,36,36,42,29,16,41,41,2,0,8,9,35,13,32,33,20,21,54,39,5,35,35,52,24,22,14,33,61,51,44,61,36,11,58,60,51,20,58,1,16,53,29,54,60,46,43,6,5,29,24,34,30,70,35,10,32,5,22,9,20,67,54,43,50,38,7,61,46,47,19,75,23}

{8,9,10,11,12,13}

Returns: "Possible"
{0,0,1,0,2,3,5,7,4,7,8,11,6,7,0,12,8,13,1,16,9,4}

{8}

Returns: "Possible"
{0,0,0,3,2,2,2,3,8,7,0,6,5,10,0,8,6,16,13,6,0,11,10,3,12,21,3,15,25,14,8,16,11,20,17,22,13,15,6,21,15,14,20,3,34,3,27,35,11,21,20,2,15,52,35,52,1,40,20,47,32,33,50,29,53,59,27,40,24,60,70,67,42,42,25,59,25,66,53,71,64,18,66,26,33,31,20,20,2,58,58,76,82,92,7,13,31,81,41,95,26,42,52,97,47,44,79,106,79,19,18,73,55,20,61,58,25,38,57,38,34,38,70,82,94,19,64,117,87,114,14,48,41,59,55,100,113,58,118,52,0,90,47,108,65,32,55,145,119,27,66,95,137,39,81,65,55,56,40,40,74,14,37,91,53,27,74,128,137,103,34,120,140,30,34,100,49,64,170,101,174,72,14,42,100,35,90,36,28,148,21,59,156,107,133,184,86,25,62,7,131,109,179,36,26,155,53,198,101,143,90,172,23,184,102,27,112,165,139,213,78,121,63,129,91,67,204,87,152,25,18,7,120,43,58,62,104,19,175,86,127,8,36,240,15,139,44,79,190,210,188,222,149,147,30,79,115,42,161,88,129,59,53,140,140,218,249,196,168,236,76,118,133,55,243,119,75,253,217,73,248,168,222,9,174,245,109,183,286,220,150,95,116,87,18,241,92,219,115,200,43,85,4,268,116,283,120,18,93,307,74,173,41,166,87,280,302,141,1,80,292,219,173,163,41,182,172,266,27,71,231,63,22,214,69,60,267,179,29,261,9,241,170,200,118,245,320,276,321,9,176,203,273,110,35,234,281,302,47,347,194,206,212,29,204,111,183,121,118,44,129,152,188,291,161,254,16,199,81,213,258,318,247,351,186,131,199,386,315,13,155,170,197,19,83,142,126,379,144,87,284,274,22,219,157,331,246,297,95,397,143,231,41,216,355,253,215,388,147,1,154,34,59,40,325,254,345,402,61,364,359,107,25,157,329,298,119,30,390,40,112,26,323,7,219,145,208,146,197,137,96,146,67,127,133,303,217,152,229,177,304,293,263,131,187,268,47,241,314,161,363,252,54,133,347,244,330,142,102,119,401,241,191,156,250,366,104,399,259,275,179,357,357,407,370,126,135,305,84,194,152,301,250,86,394,353,151,326,335,258,364,378,197,159,173}

{1,2,3}

Returns: "Possible"
{0,0,0,1,4,2,4,6,8,8,9,11,10,10,12,12,14}

{4,6}

Returns: "Possible"
{0,0,2,3,4,3,2,7,8,5,9,9,9,0}

{3,4}

Returns: "Possible"
{0,1,2,0,0,0,1,3,0,6,5,5,11,13,14,15,3,2,7,2,15,14,5,4,7,9,10,21,2,1,6,17,11,33,21,1,4,30,35,32,27,41,1,39,13,36,35,21,6,33,48,31,4,32,22,40,50,45,44,37,58,32,28,7,40,28,21,2,20,0,22,55,34,5,61,42,65,41,16,41,48,21,28,35,24,24,73,81,66,26,74,20,20,54,50,68,62,67,52,79,64,36,55,80,60,76,87,56,83,66,53,70,64,67,50,60,81,86,51,73,89,63,60,81,54,68,58,86}

{1,4}

Returns: "Possible"
{0}

{1}

Returns: "Possible"
{0,1,0,1,4,5,2,0,7,4,10,2,11,13,14,14,15,13,10,8,5,17,8,10,23,16,0,27,27,28,0,27,3,19,8,22,26,2,22,20,35,21,21,2,19,3,1,46,16,25,44,11,30,49,46,8,45,45,53,28,53,1,38,25,14,11,3,34,49,45,48,24,18,64,44,36,44,36,41,32,53,63,53,60,32,43,41,63,41,55,36,42,61}

{5}

Returns: "Possible"
{0,0,0,1,3,0,1,3,1,3,8,5,6,1,0,11,5,9,16,13,0,12,21,7,14,4,14,23,16,24,30,12,32,18,16,21,27,9,4,5,27,0,13,19,18,28,6,20,27}

{1,2,3,4}

Returns: "Possible"
{0,1,0,2,1,5,5,7,6,8,9,10,9,12,13,14,16,16,18,18,17,21,21,21,24,25,26,26,26,27,30,28,32,32,31,34,35,36,35,39,38,40,39,40,41,44,43,46,46,46,49,51,52,50,52,54,54,56,55,58,57,59,59,61,61,63,65,64,66,67,70,69,71,70,72,75,76,76,75,79,79,81,81,80,82,85,84,84,88,87,89,88,89,92,92,94,93,94,98,99,100,101,101,103,102,105,106,105,106,107,108,111,112,113,112,115,114,115,117,116,118,119,122,123,122,123,126,126,127,128,129,128,129,133,132,135,136,137,135,139,139,138,140,142,143,143,143,146,148,149,150,149,150,152,153,153,155,154,155,157,160,158,161,163,162,163,163,166,165,166,170,170,169,171,174,173,176,177,176,178,177,179,182,180,184,183,186,184,187,188,190,189,191,193,191,194,196,196,195,197,197,200,202,203,201,202,204,206,206,209,208,211,211,212,212,213,213,217,218,216,220,219,222,222,222,223,224,225,227,229,229,231,231,230,231,233,235,234,237,239,238,241,239,242,242,243,246,245,246,247,247,251,252,251,253,253,255,254,258,257,259,261,260,261,261,265,266,266,265,267,267,271,272,270,272,274,274,275,277,277,277,279,280,281,284,284,283,287,287,286,289,290,291,291,294,294,293,296,298,299,299,299,300,303,301,304,306,307,305,309,307,310,312,313,312,313,313,315,316,319,317,318,322,320,323,322,323,327,325,329,327,329,331,331,331,334,334,336,337,339,337,340,341,342,343,345,343,344,347,346,349,349,350,350,351,355,355,356,355,358,358,361,362,360,361,363,365,364,367,368,367,371,370,373,372,374,373,374,377,377,378,379,382,380,383,385,384,387,386,386,390,388,389,391,392,392,393,394,398,396,400,400,401,401,403,404,405,406,406,408,408,408,411,411,413,413,416,417,418,417,419,419,422,423,421,424,425,426,427,427,430,429,432,431,432,434,434,435,437,437,438,438,441,440,442,442,445,445,448,447,450,451,452,453,452,454,455,457,458,459,460,460,459,462,464,464,463,467,467,466,467,469,470,473,472,473,475,477,478,479,479,480,479,481,482,484,484,486,485,486,488,489,489,490,492,495,494,495,498,498,497,498,500,502,501,505,503,507,507,508,508,508,512,513,514,515,514,514,517,516,519,521,520,522,522,524,523,525,526,526,530,529,532,532,533,535,534,536,537,536,538,539,540,540,541,545,543,547,548,546,550,551,551,552,552,553,555,554,556,556,559,561,560,561,564,564,564,564,568,567,569,568,571,571,572,574,573,574,578,579,578,579,582,580,582,584,583,586,586,588,589,588,589,592,591,592,593,596,596,598,598,598,601,603,604,602,606,604,605,609,610,610,612,612,613,614,615,616,617,617,619,621,621,623,621,625,624,625,626,628,629,628,629,630,634,635,633,636,638,636,639,641,640,643,644,643,643,645,645,648,649,649,652,653,653,652,654,657,658,658,660,660,662,662,662,665,664,666,666,669,669,671,671,671,674,672,674,677,678,676,679,681,682,680,684,683,686,686,685,686,687,689,692,693,692,695,693,696,697,699,698,700,702,700,701,703,706,704,706,706,710,710,712,713,711,712,714,716,718,719,720,720,720,721,721,723,724,727,726,728,728,728,732,731,732,734,734,737,738,736,740,739,739,741,744,743,744,747,745,747,747,749,751,753,752,754,756,757,755,758,758,759,759,761,762,765,764,767,767,768,767,769,770,771,771,775,774,775,776,776,780,780,782,782,784,782,783,784,786,788,788,788,792,791,794,792,796,797,797,796,800,800,800,802,803,804,806,804,807,807,809,811,812,813,814,815,813,817,817,818,818,820,822,821,822,822,824,825,826,827,830,831,829,830,834,832,834,837,837,837,839,839,842,843,841,845,844,844,848,846,848,851,850,852,853,854,853,855,857,856,860,861,862,863,861,864,864,865,866,867,870,869,871,870,872,872,873,875,876,877,880,878,879,883,882,884,886,886,887,886,890,888,891,890,894,894,896,895,895,899,897,901,901,901,902,905,906,904,905,906,908,908,911,913,911,913,915,915,918,917,920,921,922,921,922,923,925,926,926,929,927,931,929,933,934,933,933,934,935,939,940,938,939,941,943,944,946,945,946,946,950,949,951,950,952,955,956,956,957,956,957,958,962,963,963,965,964,966,967,966,970,970,972,973,974,975,976,974,978,978,980,978,980,981,982,982,985,985,985,987,988,990,990,993,994,993,995,997,995,998}

{215,220,243,260,270,309,338,345,365,379}

Returns: "Possible"
{0,0,2,1,1,3,5,6,7,8,7,11,12,12,14,12,14,16,15,19,17,20,21,21,23,25,25,25,27,29,27,28,30,32,33,34,35,36,37,37,40,40,41,43,42,43,43,47,46,49,50,49,50,50,54,55,56,55,55,59,60,60,61,60,61,62,63,66,67,66,70,70,72,70,72,74,74,77,76,78,77,81,82,83,83,85,86,84,85,86,90,88,91,91,92,95,94,94,97,97,99,101,102,101,103,102,105,104,107,109,107,111,109,112,114,112,115,117,116,119,120,120,122,120,121,125,125,126,127,127,129,129,132,133,132,133,133,134,138,139,138,140,140,142,143,142,145,144,145,148,149,151,149,150,152,152,155,156,156,157,158,161,161,162,163,164,165,165,166,169,170,169,171,173,173,172,176,177,175,179,178,180,182,182,183,184,184,186,187,187,188,191,192,190,194,194,195,197,197,199,197,199,199,201,201,204,205,205,205,207,209,209,209,211,214,214,213,214,218,216,217,221,221,220,223,223,225,225,226,226,228,229,232,231,232,234,235,237,236,238,237,241,242,243,242,242,246,245,248,247,247,250,250,252,252,254,256,254,258,259,258,259,261,263,263,263,264,266,267,268,268,269,269,270,274,275,275,274,278,279,278,279,281,281,284,285,286,284,288,286,288,288,291,292,292,292,293,296,295,296,299,299,301,303,301,303,304,306,305,308,307,309,309,311,311,312,314,316,317,319,320,320,321,323,322,325,324,326,326,326,327,328,329,333,334,335,334,334,336,338,338,340,341,343,342,345,345,344,346,349,349,350,352,351,352,352,354,355,357,357,360,360,362,363,362,365,365,364,366,369,368,371,369,371,373,374,376,375,375,377,379,379,382,382,382,382,386,386,388,386,388,391,390,390,393,392,394,396,397,397,398,400,400,402,403,403,404,404,408,409,410,410,412,412,412,413,415,417,417,416,418,421,422,423,421,425,424,427,425,426,429,428,432,432,433,435,435,434,437,438,440,439,440,443,442,445,444,447,448,446,449,449,452,450,453,454,453,454,458,457,460,458,459,462,462,463,463,467,465,469,467,471,471,472,471,475,475,474,477,477,480,478,480,481,482,483,483,486,487,486,487,491,489,493,492,494,496,494,495,496,497,498,500,502,504,504,506,507,507,506,510,508,510,512,512,512,516,515,518,518,520,519,520,523,521,522,524,525,525,526,528,531,529,532,534,532,534,535,537,536,539,539,541,540,541,542,543,546,545,546,550,548,549,551,554,554,554,556,557,559,560,561,561,561,562,564,565,565,566,566,568,568,569,572,571,572,573,576,576,576,578,580,582,581,582,584,584,586,586,586,588,588,589,591,592,595,593,596,595,597,597,598,602,602,603,603,606,607,605,608,608,610,610,613,613,614,615,614,616,617,620,620,620,622,624,624,626,625,628,628,630,631,631,632,633,633,635,636,635,638,639,638,642,640,642,644,643,644,646,646,650,649,650,652,652,652,656,655,657,659,659,659,662,663,664,662,666,665,666,666,667,670,672,670,674,674,674,675,676,677,677,681,681,681,682,684,686,684,687,687,687,690,690,693,692,692,696,697,695,696,699,699,702,702,704,703,706,707,707,709,710,710,710,710,713,712,713,714,716,719,717,721,720,720,721,724,726,727,727,729,728,730,729,732,733,734,734,734,736,737,739,740,742,742,743,744,743,747,746,746,750,748,752,753,752,753,755,756,758,758,757,760,762,760,762,765,763,764,767,766,770,771,771,770,771,774,773,774,776,777,777,778,782,783,783,784,785,784,788,789,789,788,789,793,793,795,796,795,796,797,798,799,802,803,803,802,804,807,808,808,809,809,810,812,812,812,813,814,818,816,820,821,819,822,824,825,824,824,826,828,827,830,829,832,831,835,834,837,837,837,838,838,840,841,843,842,843,844,848,847,849,850,850,853,851,855,853,856,857,856,859,861,861,861,861,865,864,866,868,869,867,871,870,871,871,873,876,876,877,876,877,880,881,881,882,883,883,887,885,888,889,888,891,890,893,894,896,896,897,899,900,898,899,900,902,902,906,906,906,907,909,909,909,913,913,912,916,916,916,918,919,921,922,921,921,924,925,926,925,929,930,929,931,933,934,934,933,936,938,938,940,938,941,941,944,942,946,947,948,947,950,948,952,950,953,953,954,956,955,957,959,960,961,961,961,964,965,967,967,966,967,969,969,971,973,973,973,974,977,979,977,980,981,982,981,984,986,986,988,988,987,988,991,992,991,992,995,997,995,999}

{200,219,250,283,286,304,366,383,384,401}

Returns: "Possible"
{0,0,2,3,3,3,3,7,6,9,7,11,9,13,11,13,16,14,16,16,20,20,22,23,22,25,23,27,26,26,30,31,29,31,32,34,35,35,37,36,39,38,40,41,43,43,44,46,45,47,48,51,52,50,51,52,56,54,57,58,57,58,59,61,63,64,65,65,68,66,68,70,70,71,71,75,75,76,77,78,79,80,82,82,82,82,85,86,85,87,87,89,92,92,93,93,95,94,98,98,98,100,102,103,101,103,104,105,107,107,108,110,109,112,112,115,114,115,115,119,118,118,119,120,121,122,123,126,126,129,129,128,131,131,132,135,133,135,136,137,140,139,139,142,144,142,143,146,148,147,148,151,149,152,153,153,154,157,156,158,157,160,162,160,161,162,164,167,165,169,170,171,172,172,173,174,174,176,175,179,179,179,180,180,183,184,184,184,185,188,187,190,190,190,194,192,196,194,198,196,199,200,201,201,203,202,206,207,207,206,210,209,210,210,214,212,214,214,215,217,219,221,219,220,224,224,223,225,228,227,229,230,231,232,232,233,235,234,238,236,239,239,242,242,244,244,243,244,248,249,249,248,250,252,251,254,254,255,256,259,260,258,262,262,264,265,263,267,268,266,270,270,270,271,274,272,273,277,276,277,277,278,282,281,283,284,283,285,288,287,288,291,290,291,293,295,295,297,297,299,300,300,301,300,304,303,304,306,308,306,310,308,312,313,312,312,316,317,317,317,318,321,321,322,323,325,326,326,325,328,330,330,331,332,333,334,335,337,338,338,337,341,342,340,342,342,344,345,346,349,347,350,350,353,352,352,355,356,356,358,357,360,359,361,363,362,364,367,365,369,370,370,369,372,371,375,374,375,375,376,379,380,382,383,384,383,384,386,388,387,389,388,390,391,393,395,393,395,395,396,398,401,400,401,401,403,405,404,406,409,407,409,409,411,412,413,414,414,417,418,419,420,422,421,421,424,425,424,427,426,429,428,430,433,433,433,435,437,435,437,437,440,440,443,442,442,445,446,448,446,447,448,450,451,453,453,454,455,456,458,457,461,462,462,463,462,463,466,467,467,468,471,469,471,472,472,476,474,475,476,478,478,479,482,481,484,485,485,487,486,489,489,492,492,491,493,495,496,497,497,497,500,502,503,502,504,506,507,508,509,509,510,511,513,512,514,514,514,516,516,517,519,520,521,523,524,524,526,528,527,529,529,531,533,533,534,536,535,537,537,538,539,542,540,542,545,543,546,546,548,548,548,549,550,553,555,553,556,555,558,558,559,562,563,562,564,566,567,567,566,569,571,570,572,572,574,576,575,576,577,578,580,581,582,581,582,586,586,588,586,588,590,589,591,593,592,595,594,595,596,599,598,599,602,602,602,606,606,606,609,609,610,610,611,612,613,614,616,618,617,617,620,622,622,624,624,625,625,627,627,630,628,632,632,633,635,635,634,637,638,639,640,639,640,641,645,646,645,646,648,649,650,650,651,651,653,653,657,657,658,658,660,660,660,661,663,665,667,666,666,669,669,669,672,671,674,673,675,676,677,678,679,680,682,683,682,683,687,686,689,688,689,689,690,693,694,693,696,698,697,699,698,701,700,704,703,704,707,705,706,710,708,712,712,712,712,715,715,716,716,718,721,720,721,721,722,726,727,727,729,730,731,730,731,733,734,736,734,737,736,740,738,742,740,743,742,743,745,746,747,748,748,751,753,753,754,754,757,755,757,757,761,762,760,764,763,766,765,765,767,770,768,772,771,772,773,774,774,776,778,777,779,782,781,784,783,783,787,788,786,788,790,790,792,793,795,793,794,797,796,797,800,802,801,801,803,806,804,807,807,810,809,809,812,811,815,815,815,815,816,819,821,821,820,822,822,826,827,826,826,830,829,832,830,833,832,834,837,837,836,838,839,842,840,844,843,844,846,846,846,849,850,851,851,851,855,855,855,856,859,858,858,860,860,861,865,864,867,867,867,868,871,871,873,872,872,874,877,878,878,880,880,879,880,884,882,886,886,888,887,887,891,892,890,893,894,893,896,896,897,899,901,900,902,903,903,906,904,906,908,907,909,909,911,914,913,916,916,916,917,920,920,921,923,924,924,925,926,925,929,927,929,930,930,932,932,936,936,935,938,937,940,942,942,942,944,943,946,948,948,949,950,950,950,952,954,955,955,955,957,960,960,961,960,964,963,966,966,965,968,969,970,969,973,972,973,974,977,975,979,977,980,980,980,984,985,983,985,987,988,989,990,990,992,992,994,995,996,998,998}

{210,239,250,251,284,286,324,365,380,387}

Returns: "Possible"
{0,0,2,3,3,5,4,4,6,6,8,8,10,13,13,15,15,15,17,16,18,19,20,21,23,22,24,24,28,26,27,30,31,33,34,32,35,34,37,37,40,39,41,43,41,45,43,45,48,47,49,51,51,50,54,55,55,57,58,59,60,59,62,60,63,63,63,64,68,67,67,68,71,71,74,72,75,77,77,79,78,81,79,82,83,82,84,86,86,87,89,90,92,91,91,93,94,94,95,96,98,98,102,102,104,104,104,107,108,107,110,108,109,111,114,113,115,115,118,119,117,118,121,123,123,124,125,126,127,127,128,131,131,132,134,132,134,134,135,137,138,140,139,143,144,142,145,145,148,146,149,150,152,151,152,155,156,155,156,158,159,161,159,162,162,164,164,164,166,167,170,170,170,172,171,175,175,174,178,178,179,178,182,181,182,184,185,184,185,186,188,189,191,193,194,195,195,197,198,199,199,200,200,200,203,205,203,206,206,207,210,208,212,213,213,215,215,214,218,216,220,220,220,223,222,223,226,224,225,226,230,228,230,230,233,233,234,236,238,237,239,241,242,242,243,242,245,247,245,247,248,249,252,251,251,254,253,255,256,258,257,258,261,261,263,262,263,266,265,268,267,268,271,272,273,274,275,274,277,277,278,280,279,281,284,283,285,287,286,286,288,291,292,292,294,295,296,297,298,298,298,299,301,302,303,302,306,306,307,308,308,308,310,310,313,313,314,317,316,316,317,320,320,322,322,323,324,326,326,327,330,331,329,333,334,332,336,336,338,339,340,340,341,343,341,342,343,347,345,349,348,351,349,352,352,352,356,356,357,357,357,359,362,361,364,363,363,366,366,368,369,371,371,370,372,372,376,375,375,379,378,378,380,382,381,385,386,384,385,387,389,389,389,390,393,394,394,397,396,399,400,401,401,401,401,404,404,405,406,407,407,408,411,411,411,412,413,414,417,418,419,418,421,420,423,424,425,426,427,426,428,431,432,433,432,434,434,434,437,436,437,440,440,443,444,443,443,444,448,447,450,451,452,451,452,453,454,454,458,459,458,460,459,461,461,464,466,464,465,466,468,471,471,471,474,474,476,474,475,479,479,478,481,483,481,484,484,487,488,488,489,491,489,491,493,493,495,495,497,499,498,499,502,502,504,503,505,506,505,509,510,511,511,511,512,512,514,516,516,517,519,521,521,523,521,522,525,524,525,526,530,529,531,531,532,535,534,535,538,537,538,541,542,542,542,545,545,545,545,546,549,550,551,551,553,552,554,554,556,559,558,559,560,563,562,565,564,564,565,567,568,570,572,573,574,575,573,576,577,578,577,579,582,580,584,584,585,587,588,587,589,589,591,593,592,595,596,595,597,599,597,598,601,603,601,603,605,605,605,609,610,609,611,610,611,613,615,615,618,619,619,621,620,620,624,623,625,624,626,626,629,628,631,631,631,633,635,634,638,636,637,639,642,642,641,643,645,646,648,648,648,650,650,653,652,653,653,657,658,656,660,659,661,663,664,664,666,664,666,668,668,668,671,671,674,673,676,674,676,678,677,680,680,680,681,683,686,684,687,689,690,689,690,691,693,695,694,695,695,696,700,699,699,703,703,703,706,707,706,707,710,709,711,712,712,712,713,715,718,717,718,721,721,722,724,724,725,724,728,728,727,730,731,733,731,732,735,736,737,738,737,739,741,741,741,745,744,745,746,746,750,751,750,753,753,754,754,756,757,759,760,761,761,760,763,765,766,764,766,767,770,768,772,770,774,773,773,777,778,779,779,781,779,783,784,783,785,786,785,788,788,789,790,793,794,793,796,795,798,798,797,799,802,803,804,805,804,806,805,809,810,809,810,813,811,812,816,814,815,817,818,819,819,820,821,825,824,824,826,828,830,828,829,833,831,832,833,836,835,836,838,839,839,841,843,843,846,844,845,847,849,848,849,850,854,852,853,856,855,856,858,860,860,861,863,864,863,867,865,868,869,870,872,871,873,874,875,876,878,876,877,879,882,880,881,883,884,887,887,886,887,888,891,890,892,895,896,895,898,897,897,898,899,902,904,903,904,904,905,908,910,908,911,913,912,915,915,915,915,919,920,920,920,921,923,923,924,926,927,927,927,931,929,933,932,935,933,934,938,939,939,940,939,943,942,945,944,945,947,948,947,950,952,951,954,952,956,955,956,957,958,960,961,960,964,965,963,965,966,967,967,971,971,972,973,974,976,977,975,976,979,981,979,982,981,982,986,985,988,989,990,991,989,992,991,993,994,994,997,998}

{224,226,238,240,241,247,258,279,342,375}

Returns: "Possible"
{0,0,0,1,4,4,4,4,6,9,9,10,11,11,14,12,15,14,17,16,20,21,20,23,21,24,25,25,26,28,29,30,32,33,32,34,35,34,36,36,39,40,41,40,41,44,46,45,45,49,49,50,51,51,54,54,56,55,56,57,58,61,62,63,63,62,66,67,66,69,69,71,72,72,72,72,74,77,76,78,77,80,79,80,83,84,86,86,88,86,87,91,92,93,94,94,95,96,98,98,100,101,99,100,103,102,104,107,106,109,109,111,109,112,111,114,113,114,117,119,119,118,122,122,123,124,123,125,126,127,128,128,129,131,133,134,133,136,138,139,140,139,139,142,142,143,144,146,146,147,150,149,152,153,154,153,155,157,156,159,158,159,160,163,161,165,164,166,167,166,169,169,171,171,173,175,175,174,176,176,178,181,180,182,183,185,186,187,185,189,188,191,192,192,194,192,194,197,198,199,200,199,200,203,201,205,206,206,206,208,207,210,209,212,211,215,214,214,218,218,218,218,220,220,221,223,226,225,225,228,229,229,229,231,232,234,236,235,236,239,240,239,241,243,243,243,243,244,246,247,250,248,251,251,251,254,253,255,255,256,258,261,259,262,263,264,266,264,267,267,267,270,269,270,274,274,275,274,278,276,278,281,281,283,282,285,283,287,287,287,287,291,289,293,291,293,295,294,298,298,300,298,300,302,303,302,306,305,306,307,310,311,310,312,311,314,314,316,316,318,319,318,321,323,323,323,325,326,328,327,328,329,332,331,332,332,334,337,335,338,340,341,341,342,342,344,343,345,345,347,349,351,349,351,354,354,356,357,358,356,360,361,360,360,363,362,365,364,368,366,369,368,370,373,371,372,374,377,376,379,378,381,380,382,382,383,385,384,388,388,388,388,390,390,392,392,395,394,396,398,399,400,399,403,401,402,405,405,405,407,409,409,411,410,412,413,416,414,416,417,418,418,421,423,424,423,424,426,428,429,429,430,431,431,434,433,434,436,435,437,438,439,442,443,444,442,445,444,446,446,447,448,449,453,453,453,455,454,456,456,457,458,459,462,461,462,463,464,466,468,467,471,469,471,472,474,476,474,475,476,479,481,481,482,483,482,485,484,486,486,487,489,491,492,494,495,496,494,497,496,499,501,502,502,502,505,506,506,506,507,508,509,511,510,514,512,516,515,515,517,517,520,519,521,524,522,526,526,525,527,529,528,531,530,531,535,535,536,538,536,540,539,539,540,544,544,544,546,548,546,548,550,549,550,552,555,556,557,555,556,557,560,562,561,561,564,563,565,567,567,570,569,571,572,572,573,575,574,576,577,578,580,580,582,581,584,585,584,585,586,590,590,589,590,591,592,593,597,597,598,598,600,600,602,601,603,605,604,607,607,609,608,610,611,612,612,613,615,615,616,617,619,620,623,624,625,625,627,627,626,629,628,631,633,632,633,635,637,638,639,637,640,639,643,644,642,645,644,645,646,649,650,649,651,652,653,655,655,655,659,657,661,660,662,664,663,663,665,667,668,670,668,669,670,673,675,674,677,677,676,677,680,680,680,682,683,686,687,685,688,689,689,690,691,693,695,695,695,696,699,700,699,699,700,703,703,706,707,705,706,707,710,710,711,713,712,714,715,715,716,717,720,722,723,721,725,725,727,725,727,729,728,729,731,734,732,735,737,738,736,737,741,742,741,742,742,743,745,748,747,750,749,749,753,754,755,753,755,755,756,759,759,762,763,763,765,766,767,768,766,769,770,772,772,771,772,776,777,776,778,777,779,782,782,783,784,786,785,785,787,790,789,792,792,791,793,793,795,795,799,797,800,802,801,802,803,804,807,808,806,809,808,811,812,814,814,816,816,817,816,819,818,821,821,821,823,825,824,825,829,830,828,829,830,833,835,835,834,837,837,838,841,841,842,841,843,845,844,848,846,850,850,851,853,851,853,855,857,855,859,859,861,861,862,861,865,865,865,867,867,868,871,869,870,872,872,876,877,878,879,878,880,882,880,881,885,886,886,887,889,888,890,889,893,892,893,893,895,895,898,899,900,900,900,904,902,906,905,908,909,910,909,911,910,913,915,913,915,917,917,919,919,920,923,921,924,924,925,926,929,927,931,930,932,933,933,933,934,938,936,939,941,939,942,944,942,945,944,946,949,949,951,952,950,951,955,955,957,958,958,958,958,960,963,964,963,965,966,966,968,969,968,970,972,973,975,974,975,976,977,977,979,981,980,983,985,984,987,988,988,988,991,990,990,992,995,993,997,996,998}

{207,219,229,230,243,256,308,326,349,382}

Returns: "Possible"
{0,0,0,2,4,2,5,4,5,6,8,8,12,10,12,15,13,16,16,19,17,19,22,21,21,24,23,27,25,27,28,31,30,31,33,34,34,36,38,38,38,41,42,40,43,44,43,46,45,48,48,50,51,50,51,52,55,56,58,56,58,58,59,60,63,63,64,66,68,67,67,69,69,72,72,72,75,74,77,78,79,81,82,81,83,83,83,85,85,89,88,91,92,92,93,94,95,94,95,98,99,101,100,101,101,105,105,107,107,109,108,111,111,112,112,114,115,117,118,118,119,119,122,122,123,124,125,126,127,127,128,129,132,132,132,135,135,136,137,136,140,139,139,142,143,145,146,144,148,147,148,150,151,152,153,155,154,157,155,159,159,158,159,161,161,165,164,164,168,169,169,171,172,173,173,174,175,176,175,177,180,178,181,183,182,182,183,186,186,189,188,191,190,190,192,193,196,197,198,197,197,198,201,200,204,203,205,206,206,207,209,210,209,212,212,213,215,215,216,219,219,221,220,221,224,224,223,226,227,226,227,230,231,231,234,233,234,237,237,237,239,239,242,242,243,243,245,246,245,246,249,248,251,253,254,255,256,254,255,256,260,259,259,261,261,263,263,267,267,268,269,268,271,272,273,275,276,274,277,277,279,278,281,281,282,284,283,285,286,287,288,289,292,290,291,295,293,294,298,297,300,299,300,302,304,305,303,307,305,308,308,310,309,312,311,313,314,314,315,318,317,321,321,321,321,323,326,325,328,326,329,329,329,331,332,334,334,337,337,336,340,339,341,343,341,342,344,345,348,346,347,349,352,350,352,355,356,354,358,358,359,360,362,363,362,364,363,366,367,367,370,370,370,371,371,374,373,374,378,379,380,381,379,380,382,384,384,384,388,386,388,388,392,392,392,395,394,397,395,398,397,398,402,401,404,403,405,406,408,406,408,408,411,411,414,412,416,415,416,416,418,418,421,421,422,423,423,426,428,427,428,430,432,430,433,432,435,437,435,437,438,439,440,442,441,442,445,445,446,446,449,449,451,450,452,453,456,456,457,459,458,458,461,462,462,463,465,467,468,466,468,468,469,472,472,473,473,475,477,477,477,479,481,483,482,484,485,485,486,486,490,491,492,493,493,493,496,494,497,497,499,501,500,500,504,504,506,505,508,508,510,511,510,510,512,514,516,516,516,517,520,520,521,522,522,523,524,526,526,528,528,529,529,530,532,535,536,534,537,539,540,541,539,541,544,542,546,546,545,547,548,548,550,550,551,552,556,555,558,557,560,561,561,563,561,563,563,564,565,568,570,570,571,571,573,573,574,575,577,579,578,580,579,581,584,585,586,586,586,588,589,589,590,590,593,593,596,594,597,599,598,601,600,601,604,603,603,606,608,609,610,609,611,610,611,614,614,615,617,619,620,621,619,623,622,624,624,625,625,626,629,628,629,633,631,633,633,635,637,636,639,641,642,643,641,644,646,644,648,648,649,650,651,653,652,654,656,655,656,659,658,658,661,663,661,664,666,665,666,668,667,668,671,672,674,674,674,677,677,676,679,678,680,683,684,684,683,685,687,687,690,688,690,690,694,695,695,695,698,699,699,699,700,702,701,704,705,706,705,708,707,711,710,711,713,714,716,715,716,719,719,719,719,722,722,722,724,725,725,727,730,730,730,732,731,734,734,736,736,739,737,741,741,740,741,745,744,747,746,747,750,750,752,753,751,752,753,755,756,759,759,760,760,762,761,765,763,767,768,766,767,771,770,770,773,775,776,775,775,777,780,780,781,780,782,784,786,786,787,787,789,791,789,792,794,793,793,794,797,798,798,800,799,800,801,803,805,805,805,806,808,809,812,811,811,815,813,815,816,816,820,820,822,823,821,825,824,824,827,826,830,829,832,833,831,832,834,835,838,837,838,840,839,842,841,845,844,847,848,848,848,848,852,851,852,852,856,857,855,856,857,860,859,862,861,862,864,864,865,869,870,869,872,872,874,874,874,876,877,876,877,881,881,881,881,885,884,884,885,889,890,891,889,890,894,893,895,897,898,896,900,898,900,903,904,904,906,904,908,907,908,909,912,913,911,914,916,914,916,918,918,919,919,920,921,922,924,924,926,926,929,929,932,933,934,933,935,934,937,939,938,941,939,940,941,942,945,945,948,947,947,950,952,950,953,953,954,954,958,957,959,960,961,960,964,964,966,965,967,968,967,968,972,970,972,974,975,977,977,978,978,980,981,983,982,982,984,985,988,989,988,991,989,990,991,994,995,997,998,999}

{202,206,208,218,231,259,345,348,359,374}

Returns: "Possible"
{0,0,1,0,1,4,5,4,8,8,10,11,12,11,14,14,15,17,17,18,18,19,22,22,24,25,23,24,26,29,28,29,32,32,34,34,33,35,35,36,40,39,41,40,41,45,43,47,45,49,48,50,49,53,52,52,54,54,56,56,57,61,59,63,64,63,63,64,68,69,68,70,70,73,73,74,76,75,78,77,77,78,81,80,84,83,84,85,87,88,89,90,91,93,93,92,93,96,97,99,98,99,99,103,102,104,103,105,105,108,108,110,112,110,113,115,116,116,117,118,117,120,122,121,124,123,126,127,126,128,127,131,131,132,132,133,133,137,137,137,137,139,141,141,144,143,143,145,145,146,149,150,152,152,151,153,155,156,155,158,158,159,159,160,161,162,163,164,165,167,170,170,171,171,171,173,173,176,178,176,180,179,182,182,182,182,183,184,185,186,189,188,189,190,192,195,196,196,197,199,197,199,200,201,202,205,204,207,208,209,210,208,210,213,211,214,215,215,217,218,218,220,219,222,222,225,224,226,228,229,228,229,231,233,232,232,236,236,237,237,239,238,241,243,243,243,243,246,248,248,248,250,251,253,254,255,253,257,257,259,258,258,262,260,262,264,266,267,265,268,267,270,269,270,273,272,275,276,275,276,278,281,279,280,282,282,284,287,286,289,288,289,291,293,292,292,293,294,297,296,300,299,302,301,302,304,305,305,305,309,310,309,311,311,312,315,316,314,316,316,320,320,321,323,321,323,324,324,325,329,329,328,330,333,334,334,336,335,337,339,338,339,342,341,343,342,346,345,348,346,348,351,351,350,352,353,354,355,358,358,357,358,361,361,363,363,363,365,366,367,370,370,369,371,371,375,376,376,377,376,378,378,380,380,382,382,384,385,387,389,388,390,390,392,392,394,395,395,398,396,397,401,402,402,403,403,406,407,406,406,410,410,410,410,412,415,415,416,415,418,419,421,422,420,422,424,425,427,426,428,428,431,432,431,434,434,435,437,436,436,440,438,441,442,444,442,443,447,446,448,448,449,451,452,454,452,456,454,456,457,457,460,462,462,462,463,465,467,466,466,470,469,472,470,472,475,476,475,476,477,478,478,480,482,481,482,486,485,488,489,487,489,490,492,494,494,493,495,495,499,497,501,501,501,503,505,505,504,506,509,508,509,509,510,511,513,514,515,517,519,520,518,522,520,521,525,524,525,526,527,529,531,532,532,533,535,535,537,536,538,538,540,540,540,544,545,543,546,546,548,548,550,552,550,552,554,553,556,558,556,558,558,561,560,562,562,564,567,565,569,570,568,572,573,574,573,576,575,577,576,577,581,582,581,581,584,586,587,585,588,590,590,592,590,591,593,594,597,596,599,598,600,600,603,603,604,604,606,607,607,607,610,609,613,611,615,613,614,617,619,617,618,621,623,623,625,623,625,627,629,627,629,630,630,634,632,636,634,637,637,640,638,639,643,644,644,646,646,645,647,649,650,652,652,654,652,655,655,656,659,657,660,661,661,664,662,665,665,665,667,667,671,670,671,672,674,675,676,678,676,680,681,681,683,682,685,684,687,688,688,690,690,691,690,692,695,695,697,696,696,700,699,700,702,701,704,704,704,707,709,709,710,712,712,712,713,716,714,717,716,718,721,722,723,721,722,724,727,726,728,730,731,732,733,733,734,733,737,737,738,740,738,742,742,742,744,743,744,747,747,748,750,749,752,752,752,756,756,758,758,757,759,762,763,761,765,764,766,765,767,767,770,769,773,771,774,774,774,776,778,780,779,782,780,782,782,786,787,786,789,787,788,789,792,793,794,794,795,796,796,797,799,801,801,802,804,805,806,805,808,808,809,810,810,813,814,815,817,815,819,817,820,820,821,821,824,823,824,825,828,829,830,832,833,834,835,834,835,836,836,838,838,841,840,842,844,845,846,846,848,849,850,850,852,853,853,855,857,858,859,858,859,862,860,861,863,864,866,867,867,870,868,870,873,873,872,874,875,877,878,880,879,881,881,883,885,886,887,887,886,887,889,890,890,894,894,893,894,895,896,899,900,901,901,901,905,906,904,908,909,910,909,912,910,911,913,916,915,916,916,919,918,920,922,923,924,923,925,926,928,929,928,931,933,934,935,934,935,937,937,940,939,942,940,942,943,944,945,946,947,950,950,949,950,951,955,955,955,955,957,959,960,961,960,961,965,966,967,965,966,969,970,970,970,973,972,976,976,976,979,978,981,982,980,981,982,985,985,986,988,987,988,992,993,991,993,994,995,997,998}

{244,259,274,277,294,341,353,358,360,365}

Returns: "Possible"
{0,1,2,3,4,3,4,6,7,8,9,9,11,10,14,13,16,16,18,17,20,21,21,20,24,23,25,25,28,27,28,29,30,30,31,35,33,36,37,37,39,39,39,41,41,42,43,46,47,49,49,50,51,51,53,55,55,57,56,58,60,58,59,61,61,62,66,67,68,68,69,68,69,70,73,74,75,76,78,77,79,79,82,80,84,83,85,84,85,88,89,91,90,92,94,95,96,95,98,99,99,100,102,102,102,105,104,106,108,106,110,109,112,111,112,114,116,117,117,118,118,119,121,123,121,122,126,126,125,129,127,129,129,131,132,135,133,134,135,137,138,141,139,142,141,145,146,147,147,149,150,150,150,151,151,155,156,154,158,159,160,158,162,163,162,165,165,167,165,169,167,170,170,170,173,175,176,175,175,179,179,179,182,183,181,182,183,186,186,189,187,190,191,192,191,193,195,195,195,199,198,199,202,200,202,202,205,204,207,209,209,209,210,210,214,213,215,215,215,218,217,221,222,221,223,223,223,225,225,227,230,231,230,232,234,232,235,234,238,237,239,240,241,243,242,244,245,246,246,249,250,251,252,250,251,252,255,256,255,258,259,261,262,260,264,262,266,266,267,267,267,271,271,271,274,273,275,275,277,278,279,278,282,283,283,285,285,287,287,287,287,288,292,290,293,294,295,294,296,296,297,298,299,300,301,305,303,306,306,309,309,309,311,313,312,313,315,317,318,318,318,318,319,321,324,324,323,327,326,329,327,331,332,331,334,333,336,337,338,337,339,339,339,342,343,344,346,346,345,346,349,348,351,350,353,352,356,354,357,358,357,361,362,363,364,365,363,364,368,367,367,369,369,370,371,374,373,376,376,379,378,381,379,380,381,382,384,385,386,388,388,390,391,391,393,395,394,397,397,397,398,398,402,401,401,402,405,406,407,408,409,411,410,411,413,414,415,415,415,416,417,420,422,422,422,424,424,427,427,427,427,431,430,433,431,435,436,437,438,438,439,441,441,443,441,442,443,447,448,449,448,449,450,453,452,454,456,456,458,458,458,460,459,463,462,465,466,466,467,466,470,468,470,473,473,473,475,476,475,479,477,479,480,483,483,483,484,486,487,487,487,490,490,491,492,495,494,495,498,497,500,501,499,503,501,505,506,504,508,507,508,508,509,512,512,514,514,515,518,518,519,520,521,523,524,524,524,525,528,526,527,530,529,530,531,532,534,536,535,539,538,539,541,542,542,545,545,546,546,546,547,551,551,552,554,552,555,555,557,559,558,560,562,562,561,562,564,564,565,567,570,570,570,570,572,572,576,575,575,576,579,578,582,582,583,584,583,584,585,587,589,590,589,593,594,592,593,594,598,596,600,600,602,603,603,605,606,607,605,609,609,611,610,613,612,613,613,615,617,618,617,618,619,622,621,625,623,627,625,629,629,630,632,632,632,634,635,636,635,639,637,638,639,640,642,645,643,644,647,647,647,649,649,651,652,655,653,657,655,659,658,661,660,661,664,664,666,667,668,669,667,669,672,673,671,675,674,676,677,678,677,681,681,681,681,683,685,687,686,686,690,688,689,690,691,693,694,694,698,697,699,701,699,701,702,704,704,706,705,706,710,710,712,711,711,713,713,716,716,719,717,718,722,720,722,722,726,727,728,727,730,728,729,730,732,735,733,737,736,736,740,740,741,740,742,742,745,746,748,746,750,749,751,753,752,755,753,756,755,759,759,761,760,763,764,762,765,765,767,769,770,769,769,773,772,773,774,776,777,779,779,779,779,780,784,785,785,784,787,789,787,791,790,790,793,794,793,795,797,797,797,800,799,803,801,804,805,805,806,806,807,809,810,810,812,815,815,816,816,819,820,820,820,823,824,825,825,825,828,829,830,829,830,831,833,834,836,834,836,836,838,839,841,840,841,845,846,846,848,847,849,849,849,853,851,854,854,856,857,857,860,858,862,863,864,862,863,867,868,869,869,869,872,870,874,872,876,876,878,877,877,881,881,880,883,882,885,884,885,889,889,890,890,890,893,892,896,895,898,897,897,901,899,901,902,902,903,904,907,906,909,911,911,913,913,915,916,916,917,917,920,920,921,922,921,922,923,927,926,929,928,930,932,931,934,933,934,936,937,938,938,940,939,943,944,942,943,944,945,947,950,948,951,953,953,953,953,955,956,957,958,958,960,962,964,965,965,966,968,966,970,971,970,972,972,972,975,975,975,976,979,980,980,983,984,983,986,985,988,989,987,988,991,993,992,993,996,994,998,997}

{260,280,285,293,296,301,305,328,373,381}

Returns: "Possible"
{0,0,1,0,4,3,4,6,7,8,8,9,11,11,12,13,13,17,18,19,19,20,20,20,23,22,24,27,27,26,29,30,29,31,33,32,36,35,38,38,37,38,39,43,43,45,46,47,48,46,48,49,51,53,51,54,56,54,57,56,59,61,61,61,61,62,66,64,67,67,69,69,70,71,71,74,74,77,75,78,77,78,80,82,83,83,86,86,88,89,90,89,91,93,91,93,94,97,97,96,98,99,100,103,104,102,104,105,106,109,110,108,110,112,114,115,116,116,117,119,120,118,122,121,123,123,126,124,127,129,129,128,132,133,131,133,135,137,137,136,137,139,141,140,143,142,145,144,145,149,148,148,151,153,151,153,155,155,155,159,158,161,162,163,164,165,166,165,165,168,167,171,170,172,171,175,175,177,178,178,179,179,179,180,182,183,183,185,185,189,190,191,190,193,192,192,196,195,198,199,199,199,199,203,203,204,205,207,206,207,209,208,212,213,212,215,215,215,218,216,217,219,221,220,223,224,224,227,227,226,229,231,231,233,232,233,233,237,238,236,237,241,241,243,241,244,243,247,246,247,247,248,250,253,254,253,256,254,258,256,258,261,260,261,261,263,263,265,268,269,270,271,269,271,274,274,273,277,277,278,278,278,280,281,284,282,283,287,288,289,289,291,291,290,292,295,294,295,297,296,299,301,299,302,301,305,304,304,306,309,310,311,312,310,314,312,314,314,317,316,318,319,319,323,321,323,326,324,325,328,328,330,331,333,334,335,334,334,336,336,338,341,340,343,342,343,345,345,345,348,350,348,351,350,354,354,354,357,356,358,357,360,360,361,364,363,364,366,367,369,370,370,370,371,374,375,376,377,376,378,378,379,381,382,381,383,383,384,387,387,387,390,391,393,392,394,393,396,395,399,399,398,399,400,401,404,403,407,406,407,407,409,411,411,412,412,413,414,418,419,419,419,422,423,422,425,424,424,427,427,427,430,432,432,432,434,434,434,438,438,439,439,442,442,443,445,443,445,447,448,450,448,449,451,452,452,455,455,456,457,460,458,462,461,463,463,465,467,467,467,467,468,471,471,471,472,474,476,476,476,477,481,479,483,484,484,486,487,485,487,488,490,491,491,492,494,495,495,495,499,500,499,500,502,502,504,504,504,505,506,510,509,510,510,511,512,516,514,517,517,517,519,520,523,524,523,526,527,525,527,527,531,530,533,534,532,536,535,536,536,539,541,539,541,542,544,544,545,545,546,547,549,551,551,551,554,553,556,558,556,560,560,560,560,562,565,565,565,567,566,570,570,570,573,571,572,574,575,576,579,578,578,580,581,582,585,585,584,588,589,590,589,591,590,593,595,594,595,598,597,598,599,601,601,603,604,604,606,605,609,608,609,612,612,611,615,616,616,617,618,617,619,619,622,624,625,623,625,628,628,627,631,632,632,632,633,633,634,636,639,638,638,641,641,642,644,644,645,645,646,650,649,651,650,654,654,655,654,655,657,659,659,662,663,662,664,664,665,666,669,667,671,672,670,671,672,675,677,675,677,679,680,681,683,684,685,685,684,688,686,688,691,689,693,693,692,696,697,695,697,699,700,700,700,702,704,704,704,706,706,708,710,712,713,714,714,713,716,717,717,719,721,721,722,721,725,726,725,727,727,728,728,730,733,731,734,735,737,735,736,739,740,741,740,742,743,746,744,746,747,750,751,751,753,753,754,754,754,756,757,760,760,759,762,763,762,765,767,767,767,770,768,769,772,773,772,774,775,778,779,778,780,781,783,784,784,785,785,785,787,788,788,792,791,792,795,796,797,796,796,799,800,801,802,804,802,805,804,805,806,808,810,810,811,811,814,814,815,815,817,818,821,820,820,823,822,824,827,828,828,830,829,829,833,832,833,834,834,838,839,840,838,841,841,842,843,845,845,846,846,848,850,850,851,853,852,853,855,858,857,860,861,860,860,862,862,865,867,867,869,869,870,871,872,871,873,874,877,877,876,880,879,881,880,882,882,883,885,885,888,890,890,892,892,893,893,896,896,895,896,899,899,901,903,903,902,903,904,905,906,910,910,909,911,913,913,916,915,917,918,918,919,920,921,922,925,925,925,927,926,930,929,931,933,934,935,933,934,935,936,940,940,942,942,941,943,944,945,946,949,949,949,952,952,954,953,953,955,956,959,957,961,960,961,961,962,963,965,965,968,970,970,971,970,972,972,973,975,977,979,979,981,982,983,983,985,986,987,987,988,989,988,991,991,994,994,994,994,996,999}

{205,215,218,229,235,328,346,362,382,400}

Returns: "Possible"
{0,0,2,1,3,4,5,7,6,6,9,11,10,11,13,14,16,15,15,16,20,18,19,21,23,22,26,26,25,29,30,28,32,32,33,34,33,34,35,39,37,40,41,42,43,45,44,47,47,47,50,48,49,52,53,53,54,56,57,57,57,60,59,60,61,62,65,66,68,66,68,68,70,73,74,72,76,74,75,79,80,79,80,83,83,83,84,86,86,87,89,89,92,91,94,93,94,95,98,99,98,100,102,102,102,102,105,106,107,108,109,111,110,111,112,115,114,117,117,119,117,119,120,121,122,123,124,126,127,128,128,130,129,131,131,132,134,135,135,138,139,138,142,143,141,142,146,146,146,148,147,148,150,152,152,152,155,157,157,157,160,161,161,163,163,164,166,167,168,169,169,171,169,170,174,174,175,174,176,178,177,180,180,182,181,185,185,186,186,187,187,190,190,190,191,195,193,195,197,197,197,198,199,200,203,205,204,206,205,206,207,210,212,212,214,214,214,214,218,219,218,220,219,222,221,222,223,226,228,229,230,230,230,232,234,233,233,234,235,238,238,239,239,243,242,243,245,245,247,248,248,251,251,252,254,252,255,255,255,257,258,259,262,263,262,265,263,267,266,268,268,268,272,273,272,273,274,274,277,279,280,281,281,281,281,285,283,286,287,288,288,289,292,291,291,294,293,297,295,298,298,298,301,300,303,302,305,306,305,309,307,308,311,310,311,312,313,316,318,319,320,318,319,323,322,324,325,325,327,328,330,328,331,332,334,335,335,335,337,336,339,341,339,340,344,343,345,345,347,348,350,348,352,350,353,353,355,357,355,359,360,358,360,360,363,364,365,367,368,369,368,370,370,370,372,374,375,375,377,378,377,381,381,380,384,385,386,387,386,388,389,388,391,390,393,394,396,395,398,396,399,399,402,402,404,404,405,405,407,408,410,410,409,411,411,413,416,416,415,417,417,420,422,421,422,425,423,427,425,428,428,430,431,431,434,435,433,434,437,436,440,439,439,443,441,442,444,445,448,446,448,450,450,453,453,452,455,456,455,457,457,461,461,461,463,464,463,465,468,469,467,470,471,472,474,474,476,476,478,476,477,478,480,482,482,483,485,486,485,488,488,491,492,490,493,494,493,497,496,496,497,501,500,502,504,502,504,504,505,508,508,509,509,512,514,515,516,515,516,517,518,520,522,521,522,522,526,526,527,529,528,528,530,531,533,534,535,535,535,538,538,540,539,541,544,542,546,547,546,549,548,548,552,552,553,552,556,555,556,556,558,558,562,560,564,563,563,566,568,568,569,570,569,570,574,572,574,574,577,578,578,578,582,581,582,583,583,585,587,588,587,589,589,590,593,595,596,596,595,599,600,599,601,601,602,603,603,607,608,607,608,608,611,610,614,613,614,614,615,617,619,618,622,623,623,623,625,626,628,629,627,628,631,630,633,632,634,636,637,638,640,639,639,641,641,645,643,644,646,647,648,648,652,652,652,655,653,655,658,657,659,659,659,660,661,665,663,667,666,666,670,668,669,670,672,674,674,675,677,676,679,680,679,683,683,683,683,685,687,689,687,688,691,691,692,695,693,695,697,699,699,698,701,702,701,703,703,704,705,707,708,708,712,713,712,715,715,717,716,719,718,719,721,720,724,725,726,724,727,729,730,730,730,733,731,735,736,736,735,737,739,739,742,741,744,745,746,746,746,746,750,750,751,753,753,752,754,754,757,757,757,758,759,762,763,765,765,765,765,768,769,771,769,770,771,774,774,775,777,779,780,778,782,782,784,784,783,785,785,787,787,789,790,791,793,792,796,797,797,798,800,798,801,803,804,802,806,804,806,807,807,811,810,810,812,812,813,814,815,817,817,819,822,823,824,822,825,826,825,828,828,830,829,831,834,832,833,837,838,837,837,839,840,840,843,843,843,845,848,848,850,851,849,850,854,853,855,857,856,858,857,861,859,861,864,865,865,867,866,867,868,869,871,870,871,874,876,875,877,877,878,879,879,883,884,883,884,886,886,888,889,889,890,893,891,894,896,896,896,899,899,900,901,902,901,903,903,904,906,908,907,909,910,912,912,913,915,915,917,918,917,920,922,922,921,925,923,927,925,928,928,929,932,931,933,933,933,936,937,936,940,941,941,943,943,945,945,946,948,948,950,948,950,951,951,952,954,955,957,957,959,961,959,962,963,964,966,965,966,969,970,970,969,972,973,974,975,977,978,979,977,979,981,982,982,983,985,987,988,988,987,991,990,993,994,992,995,994,997,997}

{208,226,239,279,282,356,359,368,372,402}

Returns: "Possible"
{0,0,1,2,4,4,6,6,7,8,10,10,11,12,14,14,15,17,17,19,19,21,21,22,24,25,25,27,28,28,29,30,31,33,34,35,36,37,38,38,39,40,41,43,44,45,46,47,48,48,49,51,51,53,53,54,55,57,57,59,60,60,61,63,64,65,65,67,68,68,69,70,72,73,73,75,76,76,78,78,79,81,82,82,84,85,86,87,87,89,90,91,92,92,93,95,95,97,98,98,100,101,102,103,104,105,106,106,108,109,109,111,111,113,114,115,116,116,117,118,120,121,122,122,123,125,125,126,128,129,129,131,132,133,134,135,136,137,137,139,140,140,141,142,144,144,145,147,148,148,150,150,151,152,154,154,155,157,157,158,159,161,162,163,163,164,166,167,167,169,169,170,172,173,174,174,175,177,178,179,179,181,181,182,184,184,185,186,188,188,190,190,191,193,194,195,196,197,197,198,200,200,201,202,204,204,206,207,208,209,210,211,211,213,214,215,215,217,217,218,220,221,221,223,224,225,226,227,227,228,229,230,231,232,233,234,236,237,238,239,240,241,242,242,243,245,246,246,248,248,249,250,252,252,253,255,256,257,257,259,260,260,262,262,263,264,265,266,268,268,269,270,272,273,273,274,275,277,277,278,280,281,281,283,284,285,285,286,288,289,289,291,291,293,294,294,295,296,298,298,300,301,302,303,304,304,306,307,307,309,309,311,311,313,314,314,315,316,318,319,320,321,322,322,324,324,326,326,327,329,330,331,332,332,333,335,335,336,337,338,339,340,341,343,343,344,346,347,348,349,349,351,351,352,353,354,356,356,357,358,360,361,361,362,363,365,366,367,367,369,370,371,371,373,374,375,376,376,378,379,380,380,381,383,383,385,386,386,387,388,390,390,392,392,394,394,395,397,398,398,400,401,402,403,404,405,406,406,408,409,410,410,411,413,414,414,416,417,417,418,420,421,422,422,423,425,426,427,427,428,430,430,432,432,433,435,435,436,438,438,440,440,441,443,444,445,445,446,447,448,449,450,452,453,453,455,456,456,458,458,459,460,461,463,463,465,466,467,467,468,469,470,472,473,474,475,476,477,477,479,479,481,481,482,484,485,486,486,487,489,489,491,492,492,493,494,496,497,497,498,500,501,502,503,503,504,506,506,507,508,509,510,511,513,514,514,515,517,518,519,520,521,522,523,524,525,526,527,528,529,529,531,531,532,533,535,536,536,538,539,539,540,542,543,543,544,546,546,548,548,550,550,552,553,554,554,556,557,558,558,559,560,561,563,563,565,565,567,568,569,569,570,572,573,574,575,576,576,578,579,579,581,581,583,584,585,585,587,587,588,590,590,591,592,594,595,595,596,597,598,600,600,601,603,603,604,605,607,608,608,610,611,612,613,614,614,616,617,618,618,619,620,621,622,623,624,625,626,627,629,630,631,631,632,634,634,636,637,637,638,639,641,641,643,643,645,645,647,647,649,649,651,652,653,653,654,656,656,658,658,660,660,661,663,663,664,665,667,667,668,669,671,671,673,674,674,676,677,678,679,679,681,682,683,683,684,686,687,688,688,690,691,692,693,694,695,696,696,697,698,700,701,702,703,704,704,706,706,708,708,710,710,712,712,713,715,715,716,717,718,719,720,722,723,723,725,726,726,728,729,729,731,732,732,734,734,735,737,737,738,740,741,742,742,744,745,745,747,748,748,749,751,751,752,754,755,756,756,757,759,759,760,761,762,764,765,765,767,768,768,769,770,771,772,774,775,775,777,777,779,779,781,781,782,783,784,786,786,788,788,789,791,792,793,793,794,795,796,797,799,800,800,802,802,803,805,806,807,807,809,810,811,811,812,813,815,816,817,817,818,819,821,821,822,824,824,825,826,828,829,830,831,832,832,833,834,835,836,837,839,840,840,842,842,843,845,846,846,847,848,850,850,851,852,854,855,856,856,858,858,860,861,862,863,864,864,866,866,867,869,869,870,871,873,874,874,876,876,878,879,880,880,882,883,883,884,886,886,887,889,890,890,891,893,893,895,896,896,897,898,899,901,901,903,903,905,906,907,908,908,910,911,911,913,914,915,916,916,917,919,919,920,921,923,923,924,925,927,928,928,929,930,932,933,933,935,936,936,938,939,939,940,941,942,944,944,945,947,947,949,950,950,951,953,954,954,955,956,958,958,959,961,961,963,963,964,965,967,967,969,970,970,971,973,974,974,976,976,978,979,979,981,981,982,984,984,986,987,987,989,990,991,991,992,994,995,995,997,998,999}

{100,101,102,103,104,105,106,108,110,113,114,115,117,118,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,140,141,142,143,144,145,146,147,148,149,150,151,153,154,156,157,158,159,160,161,162,163,165,166,167,168,170,171,172,173,174,175,176,178,179,180,181,182,183,184,186,187,188,189,190,191,193,194,195,196,197,198,199,201,202,203,204,206,207,208,210,211,213,214,215,217,218,219,220,221,222,223,224,225,226,227,229,230,233,234,236,237,238,239,240,241,242,243,244,247,248,249,255,256,258,259,261,262,263,264,265,266,268,269,270,271,272,273,274,276,277,278,280,281,282,283,284,286,288,289,290,292,293,294,295,296,297,298,299,300,301,303,304,307,308,309,310,311,312,313,314,315,316,318,319,320,321,322,327,328,329,330,332,333,334,335,336,337,339,340,341,342,343,345,346,347,348,349,354,355,356,358,359,360,361,362,363,364,366,367,368,369,371,372,373,374,375,376,377,378,379,381,382,383,385,386,387,388,389,390,391,392,394,395,397,398,400,401,402,403,404,405,406,408,409,410,411,412,413,414,415,417,418,420,421,422,423,424,425,426,427,429,432,433,434,435,436,438,440,441,442,443,444,445,447,448,449,450,452,453,455,456,457,458,459,460,461,462,463,464,465,467,468,469,470,471,472,475,476,477,478,479,482,484,485,486,487,489,490,491,492,493,496,498,499,500,501,502,503,505,506,507,508,509,510,511,512,513,514,515,516,517,518,520,522,524,525,527,528,529,530,531,532,533,534,535,537,538,539,540,541,544,546,547,549,550,551,552,553,554,555,556,558,559,560,561,562,563,564,565,566,567,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,587,588,591,592,594,596,597,598,600}

Returns: "Possible"
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{100,101,102,104,105,107,108,109,111,113,114,115,116,117,119,120,121,122,125,126,127,128,129,130,131,132,133,134,135,138,139,140,141,142,143,144,146,147,148,149,150,151,152,153,154,155,156,157,158,160,161,162,163,164,165,166,167,168,170,171,172,173,174,175,177,180,181,182,183,184,185,186,187,189,191,192,193,194,196,198,199,200,201,202,204,205,206,207,208,210,211,213,214,215,216,217,218,219,220,221,222,223,225,226,228,230,231,233,234,236,237,238,240,241,244,245,246,248,249,250,253,254,255,256,257,259,260,261,262,263,264,267,268,269,272,273,274,275,278,279,280,281,282,284,285,286,287,288,289,290,293,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,317,318,319,320,321,322,323,325,327,328,329,330,331,332,333,334,336,338,339,342,343,344,345,346,348,350,351,352,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,373,375,376,377,378,379,380,381,382,384,385,386,387,389,390,391,392,393,394,397,398,399,401,402,403,404,405,406,407,408,409,410,411,413,415,416,417,419,420,424,425,426,427,429,430,431,432,433,434,436,438,439,440,441,442,443,445,447,449,450,451,453,454,455,456,457,458,459,460,462,463,464,465,466,467,468,469,470,471,472,473,474,476,477,478,479,481,482,483,484,485,486,487,488,489,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,509,510,512,513,514,515,516,517,518,519,520,521,523,524,526,527,529,531,533,534,537,538,540,541,543,544,545,546,547,548,550,551,552,553,554,555,558,559,562,563,564,565,567,568,570,571,572,573,574,575,576,577,578,579,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,597,598,599}

Returns: "Possible"
{0,1,1,3,4,4,6,6,8,8,9,10,12,13,13,14,16,17,18,19,19,21,21,23,23,24,25,27,28,29,29,30,32,32,33,34,36,36,38,38,40,41,41,42,43,44,46,47,47,48,49,51,52,53,53,54,55,57,58,58,59,60,61,63,63,65,65,67,67,69,69,70,71,73,73,74,75,77,77,78,80,80,82,82,84,84,85,86,88,89,90,91,92,93,94,94,95,96,98,98,100,100,101,102,103,104,106,107,107,108,110,111,112,113,114,114,116,117,118,118,120,120,122,122,123,124,126,126,127,128,129,131,132,133,134,135,135,137,137,138,139,141,142,143,144,145,146,146,147,149,149,150,151,153,154,155,155,156,158,158,159,161,162,162,163,164,166,166,167,168,170,170,172,173,173,174,175,177,177,179,180,180,181,183,183,184,186,186,188,188,189,190,191,192,194,195,195,196,198,199,199,201,201,203,204,204,205,207,207,208,210,210,212,213,214,215,215,217,217,219,219,221,222,222,223,225,226,227,227,229,229,231,231,233,234,234,236,237,237,238,239,240,242,243,243,244,246,246,247,248,250,251,252,253,254,254,256,257,257,259,259,261,261,262,264,264,265,266,267,268,270,270,272,272,273,275,276,277,277,279,280,280,282,282,283,284,286,286,288,289,290,291,291,292,293,294,295,297,297,299,299,300,301,302,304,304,306,307,307,308,309,311,311,312,313,314,316,316,318,318,319,321,321,322,324,325,325,327,327,329,330,331,331,332,334,335,336,336,337,339,339,340,342,343,344,345,346,347,348,349,350,350,352,353,354,355,355,357,357,359,360,360,362,362,363,364,365,367,368,369,370,371,371,373,373,374,375,377,377,378,380,380,382,382,383,384,386,386,387,388,389,390,391,393,393,395,395,397,398,398,399,400,401,403,404,405,406,406,408,408,409,411,412,413,413,414,415,416,417,419,420,421,421,423,423,424,425,426,428,428,430,430,432,433,434,435,436,436,437,439,439,441,441,443,444,445,445,446,448,448,449,451,451,453,454,455,456,457,457,458,460,460,462,463,464,465,466,466,468,469,470,471,472,472,474,474,476,477,477,479,479,480,482,482,484,485,486,487,487,489,490,490,491,492,494,494,495,496,498,498,500,500,502,503,503,504,505,507,508,509,509,510,512,512,513,514,516,516,518,519,520,521,522,522,523,525,526,527,528,529,529,531,532,533,534,534,536,536,538,538,540,541,541,542,543,545,545,546,547,548,549,550,551,553,553,555,555,556,557,558,559,560,562,563,564,565,565,566,567,568,569,570,572,573,573,575,576,576,578,578,579,581,582,583,584,584,586,586,587,588,590,590,592,593,594,595,595,597,598,599,599,600,601,602,604,605,606,606,608,608,610,610,611,613,614,615,615,617,618,618,620,621,622,623,624,624,626,627,627,629,629,631,632,633,634,635,636,637,637,639,640,640,641,643,644,645,645,646,648,649,649,650,652,652,654,654,656,657,657,659,659,661,662,663,663,665,666,667,668,668,669,670,671,672,674,674,676,677,678,678,680,680,681,682,684,684,685,687,687,689,689,690,692,692,693,695,695,697,697,699,699,701,701,703,703,704,705,706,708,709,709,711,711,712,714,714,716,717,718,718,720,721,721,722,724,725,726,726,728,728,730,731,731,733,733,735,735,736,738,739,740,740,742,743,743,745,745,747,747,749,750,751,752,752,754,755,756,757,758,759,760,761,762,762,763,764,765,767,767,769,769,771,771,773,773,775,775,777,778,778,780,781,782,783,784,784,785,787,788,789,790,791,791,793,794,795,796,796,797,798,799,801,802,803,803,805,805,806,807,808,809,810,812,813,814,814,816,817,818,818,820,821,822,822,823,825,825,827,827,829,829,830,832,833,834,835,835,837,837,838,840,840,842,842,843,845,845,847,847,849,849,850,851,852,854,854,855,856,858,858,859,861,861,862,864,864,865,867,867,869,869,871,872,872,874,875,875,876,878,878,879,880,881,882,884,884,886,887,887,889,890,891,892,892,893,895,896,896,898,898,900,900,902,903,903,905,905,906,908,909,910,910,912,913,913,915,915,917,918,918,920,921,921,923,924,925,926,926,928,929,930,931,931,932,934,935,935,937,938,939,940,941,942,943,944,944,945,947,947,948,950,951,952,952,954,954,955,956,957,958,960,961,962,962,963,964,965,966,968,968,970,971,972,973,974,975,976,976,977,979,980,980,982,982,983,984,986,986,987,989,989,990,991,993,993,995,995,997,998,999}

{100,101,103,104,106,107,109,114,115,116,117,118,120,121,124,125,127,128,129,131,132,133,134,135,137,139,140,141,142,143,144,145,146,147,148,149,151,152,153,154,155,157,159,160,161,162,163,164,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,187,188,189,192,193,194,195,196,197,198,199,200,201,202,203,204,206,207,208,209,211,214,215,218,219,220,221,222,224,225,226,227,228,229,230,231,233,234,235,237,238,239,240,241,242,243,244,245,246,247,248,249,250,253,254,255,256,257,260,261,262,263,266,267,269,270,271,272,273,274,275,276,277,278,279,280,284,285,287,288,290,291,292,294,295,296,298,299,300,301,304,305,306,307,308,309,311,312,313,314,316,317,318,319,320,321,322,323,324,325,326,329,330,332,333,334,336,337,338,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,356,359,361,362,363,364,365,368,370,372,373,374,375,376,377,379,380,381,382,383,384,385,386,387,388,389,390,392,393,394,395,396,397,399,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,427,428,430,431,435,436,437,438,439,442,444,446,447,448,449,450,451,453,455,456,457,458,459,460,461,464,465,466,468,469,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,495,498,499,500,501,503,504,505,506,508,509,511,512,513,514,515,516,517,518,519,520,521,522,523,525,528,529,531,532,533,534,535,536,537,538,539,540,541,543,544,545,546,547,548,549,551,552,553,554,556,557,558,559,560,561,562,565,566,567,568,569,570,571,572,573,574,575,576,577,579,580,581,582,584,585,586,588,589,591,592,593,595,596,597,598,599,600}

Returns: "Possible"
{0,0,1,2,4,5,5,6,8,9,10,11,12,12,14,14,16,17,17,18,19,21,21,23,23,24,26,27,28,28,29,31,32,33,34,34,36,36,37,38,39,41,42,43,44,44,45,47,48,48,50,50,51,53,53,54,56,57,57,59,59,60,62,63,63,65,65,66,67,68,70,70,71,73,74,74,76,77,78,79,79,80,81,82,83,84,85,87,88,88,90,90,91,93,93,95,96,96,98,98,99,100,101,102,104,105,105,107,108,109,109,111,112,112,113,115,115,116,118,118,119,120,122,123,124,125,126,127,127,129,130,131,132,133,134,134,135,137,137,139,139,140,142,143,144,144,146,146,148,149,149,151,151,152,154,155,156,157,157,159,160,161,161,163,163,164,166,167,168,169,170,171,171,173,173,175,175,176,177,179,179,181,181,182,183,184,185,186,188,189,190,191,191,193,194,195,195,197,198,199,199,200,202,202,203,204,206,206,208,208,210,211,212,213,214,214,215,216,217,219,219,221,222,222,223,224,225,227,228,228,229,230,231,232,233,234,235,237,238,239,239,240,242,242,243,244,245,247,248,249,249,250,251,252,254,254,256,257,258,258,259,261,262,263,264,264,266,267,268,269,270,271,272,272,274,275,276,276,278,278,280,280,282,283,283,284,285,287,288,289,290,291,292,293,294,294,296,297,298,298,300,300,301,302,303,305,305,306,308,309,310,311,312,312,313,315,316,316,317,319,320,321,321,322,324,324,325,326,327,329,329,330,331,332,334,335,336,337,338,339,340,341,342,342,343,344,346,346,348,348,349,350,352,352,354,354,356,357,357,358,360,361,362,363,364,365,366,366,367,368,370,370,371,372,374,375,376,377,377,378,380,381,382,383,383,384,386,386,387,388,389,390,391,392,393,394,396,396,398,399,399,401,402,403,403,405,405,406,408,408,409,410,411,413,413,414,415,416,418,419,420,421,421,422,423,425,425,426,428,428,430,430,432,433,433,434,435,437,437,438,439,441,442,442,443,444,445,447,448,449,449,451,452,452,453,454,455,457,457,459,460,461,462,462,463,464,466,467,468,468,469,470,471,472,473,475,476,477,478,478,479,481,482,483,483,484,486,486,488,489,489,490,492,493,493,494,495,496,497,498,499,501,501,503,503,505,506,506,508,508,509,510,511,513,513,514,515,516,517,518,520,521,522,523,524,524,525,527,527,528,530,530,531,532,534,534,535,536,537,539,540,540,542,542,544,544,545,547,547,549,550,550,552,553,554,554,556,556,558,558,559,561,561,562,563,564,566,567,568,569,570,571,572,573,574,574,576,576,578,579,580,580,582,582,583,584,586,586,587,588,590,590,591,593,594,594,595,597,598,599,600,600,602,603,604,604,605,606,608,609,609,611,611,612,614,614,616,617,618,618,620,620,621,623,624,624,626,627,627,629,630,630,632,633,634,634,636,637,638,639,639,641,642,642,644,645,646,646,647,648,650,651,651,652,653,655,656,657,658,659,659,660,662,662,664,665,666,666,668,668,669,670,671,672,673,675,676,677,677,679,680,681,682,683,684,684,686,687,687,688,689,691,691,693,693,695,695,697,698,699,699,701,701,703,704,705,706,707,707,708,709,711,711,712,714,715,716,717,718,719,720,720,721,723,724,725,726,726,728,728,730,730,732,732,734,734,736,737,737,739,740,740,741,743,743,744,746,747,747,749,750,751,752,753,753,754,755,756,758,758,759,761,761,762,763,764,765,767,768,769,769,771,771,772,773,775,776,776,778,779,779,781,782,782,783,785,785,787,787,788,790,791,792,793,793,794,796,797,797,799,800,801,802,803,804,805,805,806,808,809,810,810,812,812,813,814,816,816,818,818,819,820,822,823,824,824,826,827,828,829,829,830,832,832,834,834,835,836,837,839,840,840,842,842,843,844,845,846,847,849,850,850,851,853,854,854,856,857,858,859,859,861,862,862,863,865,865,866,868,868,870,870,871,873,873,875,876,877,878,878,880,881,882,882,884,884,885,886,887,889,890,890,892,892,893,894,895,896,897,899,899,900,901,902,904,905,905,907,907,909,910,910,912,913,914,915,915,917,917,919,920,921,922,923,923,925,926,926,927,929,930,931,932,932,934,934,935,936,938,938,940,940,942,942,944,945,945,947,948,949,949,951,951,953,954,954,956,956,957,959,960,961,962,962,963,964,966,966,968,968,970,970,972,973,973,974,976,977,978,979,980,981,982,982,983,984,985,986,988,988,989,991,992,993,994,995,995,997,997,999}

{100,101,102,103,104,105,106,108,110,111,113,114,115,116,117,118,119,121,123,125,126,127,128,129,130,132,133,135,136,137,139,140,141,142,143,144,145,146,147,148,150,153,154,156,157,158,159,161,162,163,164,165,167,168,169,171,172,173,174,175,176,177,178,179,180,182,183,185,186,187,188,189,190,191,192,193,195,198,199,200,203,204,205,206,207,209,210,211,212,213,216,217,218,219,220,221,222,223,224,225,226,227,228,230,231,232,233,234,236,237,238,239,241,242,243,245,246,247,249,250,251,252,254,255,256,257,258,259,260,261,263,265,268,269,270,271,272,274,276,279,280,281,282,283,285,286,287,288,289,290,291,292,293,294,296,299,300,301,302,303,304,306,307,308,309,310,311,312,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,332,333,334,335,338,339,340,342,344,345,346,347,348,349,351,355,357,358,359,360,362,363,364,365,367,368,369,370,371,373,374,375,376,380,381,382,383,384,385,387,388,389,390,391,392,393,394,395,397,400,401,402,404,406,407,408,409,410,411,412,413,414,415,416,417,419,420,422,423,424,425,426,428,429,430,431,432,433,434,435,436,437,439,440,441,442,443,444,446,447,448,449,450,455,457,458,459,461,462,463,465,466,468,470,471,472,473,474,475,476,477,478,479,480,481,483,484,485,486,487,488,489,490,491,492,494,495,496,497,499,500,501,503,504,505,506,507,508,510,511,512,513,515,516,518,519,520,521,522,523,524,525,526,527,528,530,531,532,533,534,535,536,537,539,540,541,542,543,544,546,547,548,550,551,552,553,555,556,557,559,560,561,562,563,564,565,566,567,569,570,571,572,574,575,576,577,578,579,580,581,582,584,585,587,589,590,591,592,593,595,596,597,598,599,600}

Returns: "Possible"
{0,1,2,2,3,5,5,7,7,8,9,11,11,12,14,15,15,16,17,18,19,21,22,23,23,24,25,27,28,29,30,31,31,32,34,35,36,37,38,39,39,40,41,42,44,44,45,47,48,49,49,50,52,52,54,55,56,56,58,58,60,60,62,63,63,65,65,67,68,68,70,71,71,72,73,74,76,76,78,79,80,81,82,83,83,84,86,87,88,89,90,90,91,92,94,95,96,96,98,98,100,101,102,103,103,105,106,106,107,109,109,111,112,113,114,115,115,116,117,119,120,121,121,122,124,125,125,127,128,129,129,130,132,133,134,135,135,137,138,138,140,140,142,142,143,144,146,146,148,149,150,150,152,153,153,155,155,156,157,159,159,161,162,163,163,165,165,166,167,168,169,170,172,173,173,175,176,177,177,179,180,181,181,182,184,184,185,187,188,188,189,191,192,193,193,195,196,196,197,199,199,201,202,202,203,205,206,206,207,209,209,210,211,212,214,214,216,216,217,218,219,221,222,222,223,225,226,227,227,228,230,230,232,233,233,235,236,237,238,238,240,241,242,242,244,245,246,247,247,248,249,250,252,252,254,255,255,256,258,259,260,261,261,263,263,265,265,267,268,269,269,270,271,273,274,275,276,277,278,278,279,280,282,282,284,284,285,286,287,288,290,291,292,292,294,294,295,297,298,299,299,300,302,303,303,304,306,307,307,308,310,311,311,312,314,314,315,317,317,319,319,321,321,323,324,324,326,326,327,328,330,330,332,332,333,335,336,337,337,339,339,340,341,343,344,345,346,347,348,348,349,351,352,353,354,355,355,356,358,358,360,360,361,363,363,364,366,367,367,368,370,371,371,373,373,374,376,377,378,378,379,380,381,383,384,384,386,387,388,389,389,390,392,393,394,394,396,396,397,398,400,400,401,403,403,404,405,406,408,409,409,411,411,412,414,414,415,416,418,418,420,420,422,423,424,424,425,427,427,428,430,430,431,432,434,435,435,436,438,439,440,441,442,442,444,444,445,446,448,449,449,451,451,452,453,455,456,457,457,458,460,461,462,462,464,464,465,467,468,469,469,471,471,473,474,474,475,477,477,479,479,481,481,483,484,484,486,486,488,489,489,490,491,492,493,494,495,496,498,498,499,501,502,502,503,504,506,507,507,509,510,510,511,512,514,515,516,517,517,518,520,520,522,522,523,524,526,526,527,528,530,531,531,532,533,534,536,537,537,539,540,540,542,543,544,545,546,546,548,549,550,551,551,553,554,555,555,557,558,559,559,560,562,563,564,564,565,566,567,568,570,570,571,572,573,574,576,576,577,579,580,580,582,582,584,585,585,586,588,589,590,591,591,592,594,595,596,596,598,599,600,600,601,602,604,605,605,607,607,609,610,610,612,612,613,614,615,617,618,618,620,621,622,623,623,625,626,627,628,628,629,630,632,632,633,634,635,636,637,639,639,641,642,642,643,644,646,646,648,648,650,651,652,653,653,655,655,657,658,659,660,661,661,662,664,665,665,667,668,669,670,670,671,673,673,674,675,677,678,678,679,680,682,683,683,684,685,686,687,689,689,691,692,693,694,694,696,696,697,698,699,700,701,703,703,705,705,707,707,708,709,710,711,713,713,715,716,717,718,719,720,721,722,722,724,724,726,726,727,729,730,730,731,733,734,735,735,736,738,739,740,740,741,742,744,744,746,746,748,748,749,751,751,753,754,755,756,756,758,758,759,760,762,763,763,764,765,767,767,768,770,771,771,773,774,775,776,777,778,779,780,780,782,782,784,784,785,786,787,789,790,790,791,793,794,794,796,796,797,799,800,800,802,802,804,805,806,807,808,808,810,811,811,812,813,814,816,817,817,818,820,820,822,822,824,824,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,840,842,843,844,844,846,846,847,848,850,850,852,852,853,854,855,856,857,859,859,860,862,862,863,864,866,867,868,868,869,870,872,873,874,875,875,877,877,878,880,881,882,882,883,884,886,887,888,889,890,891,891,893,894,895,895,897,898,899,899,901,901,902,903,905,906,906,907,909,910,910,911,913,914,915,916,916,917,918,920,921,922,922,924,924,926,927,928,928,930,930,931,932,933,934,936,936,938,938,940,941,942,942,944,944,946,946,948,948,950,950,951,952,953,954,955,957,957,958,960,961,961,963,963,964,966,966,968,969,970,970,972,973,974,975,976,976,977,978,980,981,981,982,983,984,986,986,988,988,990,990,992,992,994,995,995,996,998,999}

{100,101,102,103,104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,122,123,125,126,128,129,130,131,132,133,136,137,138,139,140,141,142,143,144,145,146,147,150,152,153,154,155,156,158,159,160,161,162,163,164,165,168,169,171,172,173,174,175,176,177,179,180,181,182,183,185,186,187,188,189,190,191,194,196,197,199,200,201,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,225,226,229,230,231,236,238,239,240,241,242,243,245,247,248,249,250,251,252,253,254,255,256,258,259,260,261,262,263,264,265,267,268,269,270,271,272,273,274,276,277,278,279,280,281,283,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,301,302,303,304,305,306,308,309,310,312,313,314,315,316,320,321,322,323,324,325,326,327,328,329,330,332,333,335,337,338,339,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,358,359,360,361,362,364,367,368,370,371,372,373,374,375,378,379,380,381,382,383,384,385,386,387,389,390,391,393,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,417,419,420,421,422,424,425,426,427,428,429,431,432,433,434,436,438,440,441,443,444,446,447,448,449,450,451,452,453,455,456,457,458,459,461,463,464,465,466,467,469,470,471,472,473,474,476,477,479,480,482,483,484,485,486,488,489,490,492,495,497,500,503,504,506,507,511,512,513,515,516,518,519,520,521,523,525,526,527,528,529,530,531,532,533,535,536,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,560,561,562,563,565,566,567,570,571,572,573,574,575,576,577,578,579,580,581,582,583,585,586,587,589,590,591,592,594,595,596,597,599,600}

Returns: "Possible"
{0,1,2,3,4,5,5,6,8,8,9,10,12,12,13,14,16,16,18,19,19,21,22,23,24,25,26,27,28,29,30,30,31,32,33,35,36,37,38,38,39,41,42,43,44,44,45,47,47,49,49,51,52,52,54,54,55,57,58,59,60,61,62,62,64,64,65,66,68,68,69,70,71,73,74,74,76,76,77,78,80,81,82,83,83,84,86,87,88,89,90,91,92,92,93,95,95,97,98,99,99,101,102,102,104,105,106,107,108,108,110,111,112,113,113,115,115,117,117,119,119,120,121,123,124,125,126,126,128,129,129,130,132,133,134,135,135,136,138,138,139,141,142,142,144,145,146,147,148,149,150,151,151,152,154,155,155,156,157,159,160,160,162,163,163,165,165,167,167,168,170,171,172,173,174,175,175,176,178,178,179,181,182,182,183,185,186,186,187,188,190,191,191,193,193,194,195,197,198,198,200,200,202,202,203,205,205,207,207,208,209,211,212,212,214,214,215,216,217,219,219,220,222,222,224,224,225,226,227,229,229,230,231,232,234,234,236,237,237,239,240,240,241,242,243,245,246,247,248,248,250,251,252,253,254,255,256,256,258,259,259,260,261,263,263,264,265,266,267,268,270,271,272,273,274,274,275,277,278,279,279,280,282,282,284,284,286,287,288,289,290,291,291,293,294,295,296,297,298,299,300,300,302,302,304,305,306,307,307,308,309,310,312,313,313,314,316,317,318,318,320,320,322,322,324,324,325,326,328,329,329,331,332,333,333,334,336,337,338,338,339,340,341,342,343,345,345,346,347,349,349,350,352,353,354,354,355,356,357,359,359,361,362,363,363,364,366,367,367,369,369,370,371,373,373,375,376,376,378,378,379,380,381,382,384,385,386,386,388,389,389,390,391,393,393,394,395,396,397,398,399,401,401,402,404,405,405,407,407,408,410,410,412,412,413,415,416,416,418,419,419,420,422,423,423,424,425,426,427,429,430,430,432,432,433,435,435,436,437,438,439,441,442,443,443,444,445,447,448,449,450,450,451,453,454,455,455,456,458,458,460,460,461,462,463,464,466,467,467,468,470,470,471,473,473,474,476,477,478,479,480,481,482,482,484,485,485,486,488,489,490,491,492,493,493,495,495,496,497,498,500,500,501,503,504,504,505,506,508,509,510,511,511,512,514,514,515,516,517,519,519,520,521,522,523,525,525,526,528,528,530,530,532,533,533,535,535,536,537,538,540,541,542,542,543,545,546,546,548,549,550,551,551,552,554,554,556,557,558,558,560,561,561,563,563,564,565,567,567,568,569,570,572,573,574,574,576,576,578,579,579,580,582,582,583,585,586,586,587,588,590,591,591,592,593,594,595,596,597,599,600,601,601,603,604,604,606,606,608,609,609,610,611,612,614,614,615,617,617,618,619,621,622,623,624,625,625,627,627,629,629,630,632,633,634,634,635,636,638,638,639,641,641,643,644,645,646,647,648,649,650,651,652,652,653,654,656,657,658,659,659,660,661,662,663,664,666,666,668,669,669,670,671,672,673,675,676,676,678,679,680,681,682,682,683,684,686,686,687,688,689,690,691,693,694,695,696,697,698,698,700,701,701,703,703,704,705,706,707,709,709,711,712,712,713,715,716,716,717,719,719,721,722,722,723,724,725,726,728,729,730,730,732,733,733,735,736,736,738,739,739,741,742,743,744,744,746,747,747,749,750,751,751,753,754,754,755,757,758,758,760,760,761,763,763,765,765,766,768,769,769,770,771,772,773,775,775,776,778,779,780,780,781,782,784,785,786,787,788,788,789,790,792,793,793,795,795,797,797,798,800,800,801,803,804,804,806,806,808,808,810,810,812,812,814,814,815,816,818,818,819,821,822,823,824,825,826,826,828,829,830,830,831,833,833,835,835,837,837,838,840,840,842,843,843,845,846,846,847,849,850,851,851,853,853,855,855,857,858,858,860,861,861,863,864,865,866,866,867,868,869,870,871,872,873,875,875,877,877,878,880,880,881,883,883,884,885,887,888,888,890,891,891,892,894,894,896,897,897,898,899,901,902,903,903,904,906,906,907,909,909,911,911,912,913,914,916,916,917,918,920,920,922,922,923,925,925,927,928,928,930,930,931,932,933,934,935,936,938,939,939,941,941,943,943,945,946,947,948,948,949,951,951,953,954,954,956,956,957,958,959,960,961,962,963,964,965,966,968,969,969,971,971,973,974,974,975,976,977,978,980,981,982,982,984,985,986,987,988,989,989,991,992,993,993,995,996,997,998,999}

{101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,121,123,124,125,126,127,128,129,133,135,136,137,138,139,140,142,143,144,145,146,147,148,149,150,151,152,153,155,156,157,158,159,161,162,164,165,166,170,171,172,173,175,176,177,179,180,181,182,183,184,185,186,187,189,191,192,193,194,195,196,197,198,199,200,201,202,205,206,208,209,210,211,213,214,215,216,217,218,219,220,221,222,223,224,226,227,228,229,230,231,232,233,234,235,237,238,240,241,242,243,245,246,248,249,250,251,253,254,255,256,257,259,260,262,263,264,265,266,267,268,269,270,271,272,274,275,276,277,278,279,280,281,282,283,284,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,304,307,308,309,310,311,312,313,314,315,317,318,320,321,322,324,325,326,327,330,331,332,333,334,335,337,338,341,342,343,344,345,346,347,348,349,350,351,352,353,354,356,357,358,360,362,363,364,366,368,369,370,371,372,374,375,376,377,378,379,380,381,382,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,401,405,406,407,408,410,411,412,413,416,417,422,423,424,425,426,427,428,429,430,431,433,434,437,438,439,440,441,442,443,444,445,446,447,448,449,450,453,456,457,458,459,461,462,463,464,466,467,468,469,470,472,473,474,475,476,477,478,479,481,482,483,484,486,487,488,489,490,492,493,494,495,496,497,498,499,501,502,504,505,506,507,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,527,529,530,533,534,535,536,537,539,541,543,545,547,548,549,550,551,553,555,556,557,558,559,561,563,564,566,568,569,570,571,572,573,574,575,576,577,578,581,582,584,587,588,589,590,592,593,596,597,598,599,600}

Returns: "Possible"
{0,0,2,3,4,5,6,6,7,8,9,11,11,12,13,15,16,17,18,18,19,21,21,23,24,24,26,27,27,29,30,30,31,32,34,35,35,36,38,39,39,40,41,42,44,44,45,47,47,49,49,51,52,52,54,54,56,56,58,59,60,60,62,62,63,64,65,67,67,68,69,70,71,72,73,74,75,77,77,78,80,80,82,83,83,84,85,87,87,88,90,90,91,93,93,94,96,96,98,99,99,101,101,103,104,105,106,106,108,109,110,110,111,112,113,115,116,116,117,119,119,120,122,123,123,125,125,127,128,128,130,131,131,132,133,134,136,137,137,138,140,140,142,142,143,144,146,147,147,149,149,151,151,153,153,154,155,156,157,158,160,160,162,162,164,165,165,167,167,168,169,170,172,172,174,174,175,176,178,178,180,181,182,182,183,184,185,186,187,189,189,190,192,193,193,195,195,197,198,199,199,201,202,203,203,204,206,207,207,208,210,210,211,212,213,214,216,217,217,219,220,220,221,223,224,225,225,227,228,229,229,231,231,233,234,234,236,237,237,239,239,241,241,242,244,245,246,247,247,249,249,250,252,252,254,255,255,257,258,258,259,261,261,262,264,264,266,267,268,268,270,271,271,272,274,275,275,276,277,278,280,281,281,283,284,285,286,287,288,288,290,290,291,293,294,294,296,296,298,299,299,301,302,302,304,305,306,307,308,309,310,311,311,313,314,314,315,316,317,318,319,320,322,322,323,324,325,327,328,328,329,331,331,333,333,334,335,337,338,338,339,340,342,342,344,344,345,347,348,348,350,350,351,353,353,354,355,356,357,358,360,361,362,362,364,364,365,366,368,369,369,370,372,372,373,375,376,376,377,379,380,380,381,382,384,385,386,387,387,389,390,391,391,393,394,394,395,396,397,398,399,401,402,402,404,405,405,407,408,409,410,411,412,413,413,414,416,417,418,418,419,421,422,423,423,424,426,426,427,429,429,430,432,432,433,434,436,437,437,438,440,441,442,443,443,444,446,446,448,448,449,450,451,452,454,455,456,457,457,459,460,461,461,463,463,465,466,467,468,468,470,470,471,472,474,475,475,477,477,478,480,480,482,482,484,485,485,486,488,488,489,490,491,492,493,495,496,496,498,498,499,500,502,503,503,504,505,507,508,508,509,511,512,513,513,514,515,516,517,518,520,520,522,523,523,525,525,527,527,529,529,530,531,533,534,535,535,536,538,538,539,541,541,543,544,545,545,547,548,549,550,551,552,552,554,554,555,556,557,558,560,560,562,562,564,565,566,566,568,568,570,570,571,573,574,574,575,577,577,579,579,581,582,582,583,584,585,587,588,589,589,590,591,592,593,595,595,597,598,598,600,600,601,602,604,604,606,606,607,609,609,611,611,613,613,614,615,616,617,619,620,620,622,622,624,625,626,627,628,628,630,631,632,633,634,635,635,637,637,638,639,641,642,642,643,645,645,646,647,648,650,650,652,653,654,654,656,656,658,658,660,660,661,663,663,664,665,666,667,668,669,670,671,673,674,674,675,676,678,679,680,680,682,683,683,684,686,686,687,688,689,691,691,692,694,695,696,696,698,698,700,701,702,703,704,705,706,707,707,709,710,711,712,713,713,715,716,717,717,719,719,720,722,722,724,724,726,727,727,728,730,731,732,732,733,734,735,736,737,739,739,741,741,742,743,745,746,746,748,749,749,750,751,752,753,755,756,756,758,758,760,760,762,762,764,765,765,766,768,769,769,771,771,772,773,775,775,776,778,778,780,780,781,782,783,785,786,787,788,789,789,791,791,793,794,795,795,797,798,798,800,800,801,803,804,805,806,807,807,809,809,810,811,813,813,815,816,816,817,818,819,820,822,822,823,824,826,827,827,829,829,831,832,832,834,834,835,837,837,838,840,840,841,843,844,844,845,847,847,849,850,851,851,852,853,855,856,857,857,858,860,861,862,862,864,865,866,867,867,869,869,870,872,872,874,875,875,877,877,878,880,881,881,883,884,885,886,886,888,888,889,891,892,892,894,894,896,897,898,898,899,901,902,903,903,905,905,906,907,909,909,911,911,913,914,915,915,916,918,918,920,920,921,923,923,924,925,927,927,929,930,931,932,933,933,934,936,937,938,939,939,941,941,942,943,945,945,946,948,949,950,951,952,952,954,955,956,957,958,958,960,961,962,963,963,964,966,967,967,969,969,971,971,972,974,974,975,976,978,978,979,981,982,982,984,984,985,986,988,988,990,990,991,993,994,995,996,997,998,998}

{100,101,102,103,104,105,107,108,109,110,112,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,134,135,136,137,138,139,140,144,145,147,151,152,153,154,155,156,158,159,160,161,162,163,165,166,167,169,170,171,172,173,174,175,176,178,179,181,182,183,184,186,187,188,189,191,192,193,194,196,197,198,199,200,201,202,203,204,206,208,209,211,213,215,216,220,221,223,224,225,226,227,229,231,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,250,251,252,253,254,256,257,258,259,260,261,262,263,264,266,267,268,269,270,272,273,274,275,276,277,279,280,281,282,283,284,285,286,288,289,290,291,292,293,294,296,297,298,300,301,303,304,305,306,307,308,309,311,314,316,317,318,319,320,321,322,324,325,326,327,329,330,331,332,335,336,337,338,339,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,374,376,377,378,380,381,382,383,384,385,386,388,389,390,391,392,393,394,395,396,398,399,400,403,405,407,408,409,410,412,414,415,416,417,420,421,423,424,425,426,427,430,431,433,434,435,436,437,438,439,440,441,443,446,447,448,450,451,452,454,455,457,459,460,461,462,463,466,467,468,469,470,471,472,473,475,477,478,479,482,483,484,485,486,487,488,489,490,491,493,494,495,496,497,498,500,501,502,503,504,506,507,508,509,512,513,514,515,518,520,523,524,525,526,528,529,531,532,533,535,536,537,538,539,540,541,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,568,570,571,572,573,575,576,577,579,580,581,583,584,585,586,587,588,589,590,592,594,595,596,597,598,599,600}

Returns: "Possible"
{0,0,2,3,3,4,5,6,7,9,9,10,11,13,13,15,16,17,17,18,20,21,21,23,24,24,25,26,28,28,29,31,31,32,34,35,36,36,37,38,39,41,41,42,43,45,45,47,47,49,49,51,52,52,54,54,55,56,57,59,59,60,61,62,63,65,65,66,67,68,69,71,71,73,73,74,75,77,77,79,80,80,81,82,84,85,86,86,88,88,89,91,91,93,93,94,96,97,98,98,100,100,101,102,103,105,106,107,107,108,110,110,112,113,113,114,116,116,118,119,120,120,121,123,123,124,125,127,127,129,129,130,131,132,134,134,136,137,137,139,140,141,141,143,144,144,145,147,148,148,149,151,152,152,154,154,156,157,158,158,160,160,162,162,163,165,166,167,168,168,169,170,171,172,174,175,175,176,178,179,179,181,181,182,183,184,186,186,187,188,189,190,192,193,194,195,196,197,197,198,199,200,201,203,203,204,205,207,207,209,209,210,211,213,214,214,215,216,218,219,219,221,221,223,224,224,226,227,227,229,229,230,231,232,234,234,236,237,238,238,240,241,242,243,243,244,245,247,248,248,250,250,251,252,253,255,255,257,257,258,260,261,261,263,264,264,265,266,267,268,269,270,272,273,274,274,276,277,278,278,280,281,282,282,283,285,286,286,288,288,289,290,291,293,294,294,296,297,297,298,299,301,301,303,304,305,305,307,308,308,310,310,311,313,313,315,316,317,318,319,320,321,322,323,323,325,325,327,328,328,330,330,332,333,333,335,335,336,338,338,339,341,341,342,344,344,345,346,347,348,350,350,352,353,354,354,355,357,358,359,360,360,361,363,363,364,366,366,368,368,369,371,372,372,373,374,376,376,377,379,379,380,382,382,383,384,386,386,387,389,390,391,392,393,393,394,395,396,398,398,400,400,402,402,404,404,406,407,408,409,409,410,411,413,413,414,415,416,418,419,420,420,421,422,424,425,425,426,427,428,429,430,432,432,433,434,436,436,438,439,440,440,442,443,444,444,446,447,447,449,450,450,452,452,453,455,455,456,458,459,459,460,462,462,464,464,466,466,467,469,470,471,471,473,474,474,475,477,478,479,479,480,481,483,484,485,485,486,488,489,490,490,492,493,493,495,496,496,497,499,500,501,502,502,504,504,505,507,508,508,510,510,511,512,514,514,515,517,518,519,519,520,522,522,523,524,526,527,527,528,529,531,531,533,533,534,536,536,538,539,540,541,542,542,544,544,545,546,548,548,550,550,552,553,554,555,555,556,557,558,559,561,561,563,564,564,566,566,568,569,569,571,571,573,573,574,575,576,577,579,580,581,582,582,583,585,585,587,587,589,589,591,591,593,593,594,596,597,598,599,599,601,602,602,603,605,605,607,608,608,609,611,612,613,614,614,616,616,618,619,619,621,621,623,624,625,626,626,627,629,630,630,632,632,633,634,635,637,637,638,639,641,642,643,644,644,646,647,648,649,650,651,651,653,653,655,656,656,658,659,659,660,662,663,663,665,665,666,667,668,669,670,671,672,673,674,676,676,678,678,679,680,682,682,683,684,685,686,687,689,689,690,691,692,693,695,695,696,697,699,700,701,702,702,703,705,706,706,707,709,710,711,711,712,713,715,716,717,718,718,719,721,722,722,724,724,726,726,728,729,729,730,731,733,734,735,736,736,737,739,740,740,742,742,743,745,746,747,747,748,749,750,751,753,754,754,756,757,757,759,760,760,761,762,764,764,766,766,767,768,769,771,771,773,773,775,775,776,777,778,779,781,781,783,784,785,786,787,788,789,790,791,792,792,793,794,796,797,797,798,799,800,801,802,804,804,806,807,807,808,809,811,811,813,813,815,816,816,818,819,820,820,821,822,823,825,826,826,827,828,830,830,831,832,834,834,835,836,838,838,840,841,842,842,844,845,845,846,848,848,849,850,852,852,854,854,856,857,858,859,860,861,861,863,864,864,866,867,868,868,869,871,872,872,873,875,875,876,878,878,879,881,881,883,883,884,885,887,888,888,890,890,891,892,894,895,895,896,898,899,900,900,901,903,904,904,905,907,908,908,909,911,912,912,913,914,916,916,918,918,920,920,921,922,923,925,925,926,928,929,930,930,931,932,934,934,935,937,938,938,940,941,942,942,944,945,945,947,948,949,949,951,952,952,954,955,955,956,958,958,960,961,961,962,963,964,965,967,968,968,969,971,971,972,973,975,975,977,977,978,979,981,982,983,984,985,986,986,988,988,990,991,991,992,993,994,995,997,997,999}

{100,101,102,103,105,107,109,110,112,113,116,117,118,119,121,122,123,124,125,126,127,129,130,131,132,133,134,135,137,138,139,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,161,162,164,166,167,168,171,172,173,174,175,176,179,180,181,182,183,184,186,188,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,209,211,212,214,216,217,218,219,221,222,223,224,225,226,227,229,230,231,232,233,234,235,237,238,241,242,243,244,245,246,248,249,250,251,252,253,254,255,257,258,259,260,263,264,265,266,267,268,269,270,272,273,274,275,276,278,279,280,282,283,284,286,287,288,289,290,291,292,293,294,296,297,299,300,301,302,303,304,305,306,307,309,310,311,312,314,315,316,317,318,319,320,321,322,323,324,326,327,328,329,330,331,332,333,335,336,337,338,341,343,344,345,346,347,348,349,351,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,377,378,379,380,381,383,384,385,386,390,391,392,393,394,395,396,397,398,399,400,402,403,405,406,407,408,409,410,412,413,415,416,418,419,420,422,423,424,425,426,428,429,430,431,434,438,439,440,441,443,444,445,446,447,448,449,453,454,455,456,457,458,459,460,462,463,464,465,466,467,468,470,471,472,473,474,475,477,478,479,480,482,483,484,485,486,487,488,489,492,494,495,496,497,498,501,502,503,504,505,506,508,509,510,512,513,514,517,518,519,520,521,522,523,525,526,527,528,529,530,531,533,534,535,536,537,538,540,543,544,545,546,547,548,549,550,552,553,554,556,558,559,563,564,565,568,569,570,571,572,574,575,576,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,598,599,600}

Returns: "Possible"
{0,1,1,2,4,4,5,6,8,8,9,11,11,13,14,15,16,17,18,18,20,21,21,23,23,25,26,26,27,28,29,30,31,33,33,34,36,37,37,38,39,41,42,42,43,44,46,46,47,48,49,50,51,53,54,55,56,56,57,59,59,60,62,62,63,65,66,66,67,69,69,71,71,72,73,75,75,76,78,79,80,80,82,82,83,84,86,87,88,88,90,91,91,93,93,94,95,97,98,99,100,100,102,103,103,104,106,107,108,108,109,110,112,112,114,115,116,116,118,118,120,121,122,122,124,124,125,126,127,128,130,130,131,132,134,135,135,136,137,139,140,140,142,143,144,145,145,146,148,149,150,150,151,153,153,155,156,157,158,159,159,161,161,163,164,165,166,166,167,169,169,171,172,172,173,174,175,177,177,179,180,180,182,183,183,185,185,186,187,189,189,191,192,192,194,195,195,197,197,198,199,200,202,203,204,205,206,206,207,208,210,211,211,213,213,214,216,216,218,219,219,221,222,222,224,225,225,227,228,229,229,231,232,232,233,235,236,236,238,238,239,240,242,243,244,245,246,246,247,248,249,250,252,253,254,254,256,257,258,259,260,260,262,262,264,265,266,266,267,269,270,271,272,273,274,275,276,277,278,278,279,281,281,283,283,285,285,287,288,289,290,291,292,292,294,294,296,297,298,298,300,301,302,303,304,304,306,307,308,309,309,310,312,313,314,314,316,316,317,319,320,321,321,323,323,324,326,327,327,328,329,331,331,333,333,334,336,336,337,339,339,341,341,343,344,345,345,347,348,348,349,351,352,353,353,355,356,356,357,358,360,361,361,363,364,364,366,366,367,369,369,371,372,372,374,374,376,377,377,378,380,380,382,383,384,385,386,386,387,388,389,390,391,392,394,394,396,397,398,399,399,400,402,403,404,404,406,406,408,409,410,410,412,412,414,415,416,417,418,418,420,420,422,423,424,424,426,426,427,429,430,431,432,433,434,435,436,437,437,439,440,441,442,442,443,445,446,446,448,448,449,450,452,452,453,455,455,457,457,458,459,461,461,463,464,465,466,466,467,469,469,470,472,473,474,475,475,476,477,479,479,481,481,482,483,484,485,487,487,488,489,491,492,492,493,494,496,497,498,499,500,500,501,502,504,504,505,506,508,509,510,510,511,513,514,514,515,516,517,518,520,521,521,523,524,524,526,527,527,528,530,531,531,532,534,534,536,536,537,538,540,540,541,542,543,545,545,546,547,549,550,551,552,553,553,554,555,556,557,559,559,561,561,563,564,564,566,566,568,568,569,571,571,573,573,575,575,577,577,578,579,581,582,583,583,584,586,587,588,589,590,591,592,593,594,594,596,596,598,599,599,601,602,603,603,604,606,607,608,609,610,611,612,613,614,615,616,617,617,619,619,621,622,623,624,625,625,627,627,629,630,630,632,633,634,634,635,637,637,638,639,640,641,642,644,644,645,647,648,649,650,651,652,653,653,654,655,656,658,658,660,660,662,663,664,665,666,667,667,669,670,671,672,672,674,674,675,676,678,678,680,680,681,683,684,684,686,686,688,689,690,691,692,693,694,694,695,696,697,699,700,700,702,703,704,705,705,706,708,708,709,711,711,712,714,715,715,716,718,718,719,721,721,722,723,724,726,727,727,729,729,731,731,732,734,734,736,736,737,739,739,740,742,743,744,745,746,747,748,749,750,750,751,753,754,754,755,756,757,759,760,761,762,763,763,764,765,766,768,768,770,770,771,772,774,774,775,776,778,778,779,780,781,783,783,784,786,787,787,788,790,790,791,793,793,794,795,796,798,798,799,801,801,802,803,804,805,806,807,808,810,811,811,813,813,815,815,817,817,818,819,821,822,822,824,825,825,826,827,828,829,831,831,832,834,834,835,836,837,838,839,840,842,843,844,845,845,847,847,848,850,850,852,853,853,854,855,856,857,858,859,861,861,862,864,865,865,866,868,869,870,871,871,872,874,874,875,876,877,878,879,881,881,883,884,884,886,887,887,889,889,891,891,892,893,895,896,897,897,898,899,900,902,902,903,904,906,906,907,908,909,910,911,913,913,915,916,916,918,919,919,920,922,923,924,925,925,927,928,928,930,930,932,932,934,934,936,936,938,938,940,940,942,942,944,945,946,947,947,949,949,950,952,953,953,954,955,957,957,958,959,960,962,963,964,965,965,967,968,969,969,970,971,973,974,974,976,977,978,979,980,980,981,982,984,985,985,987,987,988,989,991,992,992,993,994,996,997,998,998}

{100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,126,127,128,129,130,131,133,134,135,136,137,138,139,140,141,142,143,144,145,147,148,150,152,153,154,155,156,157,160,161,162,164,165,166,167,168,169,171,172,174,175,176,177,178,179,180,181,183,184,185,186,189,190,191,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,217,218,220,221,222,224,226,228,229,230,231,232,233,234,235,236,239,240,241,242,246,247,248,249,250,251,252,253,254,255,256,257,259,262,264,265,266,268,269,270,271,272,273,274,276,277,278,279,280,281,282,283,284,287,288,291,292,293,294,295,296,298,299,300,301,302,304,305,307,309,310,311,312,314,318,319,320,322,323,325,326,327,329,331,332,333,335,336,337,339,340,342,343,344,345,346,347,348,349,351,352,353,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,375,376,377,378,379,380,381,382,383,384,385,386,388,389,390,391,392,394,396,397,398,399,400,402,404,405,406,407,408,409,410,411,412,414,415,416,417,419,420,421,422,424,425,426,427,429,430,431,433,434,435,436,437,438,439,440,441,443,444,445,446,447,450,451,452,454,455,457,458,459,461,462,463,464,465,466,467,469,470,471,472,473,474,477,478,480,481,482,483,484,485,486,487,489,490,492,494,495,496,497,499,500,501,502,503,504,505,506,507,508,509,511,513,514,515,516,518,519,521,522,523,524,525,526,527,529,531,532,534,535,537,538,539,540,541,542,543,544,546,547,548,549,550,551,552,553,554,556,557,558,560,561,562,563,564,565,566,568,569,570,571,572,573,574,575,577,578,580,581,585,586,587,589,590,592,593,594,595,596,597,598,599,600}

Returns: "Possible"
{0,1,1,3,4,5,6,6,8,9,10,11,12,12,14,15,16,17,18,18,19,21,22,22,24,25,26,26,28,28,30,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,45,46,48,48,49,50,51,53,54,55,56,57,58,59,60,60,61,62,64,64,66,66,68,69,69,70,71,73,74,74,75,76,77,78,79,81,81,83,83,84,85,87,88,88,89,91,91,93,94,94,96,97,98,98,99,100,101,102,103,105,105,106,107,108,110,111,112,112,114,115,115,116,117,119,120,121,121,122,123,125,126,126,127,128,129,130,131,133,133,135,135,136,138,139,140,141,141,142,143,145,146,147,147,148,149,150,151,152,154,154,155,156,158,159,159,160,162,162,163,165,166,166,167,169,170,171,171,173,174,175,176,176,177,179,179,181,182,183,184,185,186,187,188,188,189,191,192,193,194,194,195,196,197,198,199,200,202,202,203,204,206,207,208,208,210,210,212,213,214,215,216,217,218,218,219,221,222,223,223,224,225,226,228,229,230,231,232,233,233,235,235,237,237,238,240,240,241,242,244,244,245,247,247,249,250,251,252,253,253,254,256,256,257,259,260,260,261,262,263,265,266,267,268,268,270,270,271,273,273,274,276,277,278,278,279,280,281,282,283,285,286,287,287,289,290,291,291,292,293,294,296,297,297,298,299,300,302,303,303,304,306,307,308,309,309,310,311,312,314,315,316,317,318,319,320,321,322,322,323,324,326,326,327,328,329,330,331,332,334,334,336,337,338,339,339,340,342,343,343,345,346,346,348,348,349,350,352,353,354,355,356,356,357,358,360,360,362,362,364,365,366,366,367,368,370,370,372,373,374,375,376,376,377,379,380,381,381,382,383,384,385,386,387,389,390,390,392,392,394,394,396,397,398,399,399,400,401,402,404,405,405,407,408,409,410,410,412,413,413,415,416,416,418,418,419,420,422,422,423,424,426,427,428,428,430,431,431,433,433,434,436,437,438,438,439,440,442,442,444,444,445,447,447,449,450,450,451,452,453,454,456,456,457,458,460,461,461,463,464,464,466,467,467,469,470,471,471,472,474,474,475,476,478,478,479,480,482,483,484,485,486,487,487,488,490,491,492,493,493,495,496,497,498,499,499,501,502,502,504,504,506,507,508,509,510,510,511,512,514,514,516,517,518,519,519,520,522,522,524,524,526,526,527,528,530,530,531,532,534,535,536,536,537,539,539,540,541,543,544,544,545,547,547,548,550,550,551,552,554,554,556,556,558,558,560,560,562,562,563,564,566,567,568,569,570,571,572,573,573,574,575,577,577,579,579,581,581,583,584,585,585,586,588,589,589,591,592,592,594,595,595,596,598,599,599,600,601,602,604,605,606,607,608,609,610,610,611,612,614,615,616,616,618,619,619,620,621,622,624,625,626,626,628,628,630,631,631,633,633,635,635,636,637,638,640,640,641,643,644,644,645,647,648,649,650,651,651,653,654,654,655,657,658,659,660,661,662,663,663,665,666,667,668,668,669,671,672,673,674,674,676,676,677,678,679,681,681,683,683,684,685,687,687,688,689,691,691,693,693,695,695,696,697,698,700,700,702,702,703,704,705,706,707,709,709,710,711,713,714,715,715,717,717,719,720,721,721,723,723,724,726,727,727,728,730,731,732,733,734,734,736,737,738,738,740,741,741,742,744,745,746,746,748,749,750,751,751,752,753,754,755,757,757,758,760,760,761,762,764,764,765,766,768,768,769,771,771,773,773,775,776,777,778,778,779,780,782,783,783,784,786,786,787,788,789,791,791,792,793,794,795,796,797,799,800,800,801,802,803,805,806,807,807,809,809,811,812,813,814,814,815,816,818,818,819,821,822,822,824,825,825,827,827,828,829,831,832,832,834,834,836,837,838,839,839,841,841,842,844,844,845,847,848,849,850,850,852,852,853,854,856,856,858,859,859,860,861,863,863,864,865,866,868,868,870,870,872,872,874,874,876,877,877,878,880,881,882,882,883,885,885,887,888,888,890,890,892,893,894,894,895,897,897,899,899,901,902,902,903,905,905,907,907,909,910,911,912,913,913,915,916,916,917,919,919,921,921,922,924,925,926,926,927,928,929,931,931,933,934,935,935,937,938,939,939,940,942,943,944,945,945,946,947,949,950,951,952,953,954,955,955,957,957,958,960,960,962,962,963,964,965,966,968,968,969,971,972,973,973,974,976,977,977,978,980,981,982,982,983,984,985,986,987,988,989,991,992,993,994,995,995,997,998,998}

{100,101,103,104,105,106,107,108,109,110,111,112,113,115,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,140,142,143,144,145,150,151,152,153,154,155,157,158,159,160,161,163,164,165,166,167,168,169,170,173,175,176,179,180,181,182,183,185,186,187,188,189,191,193,194,195,197,199,200,201,202,203,204,205,207,208,209,210,211,212,213,214,215,217,218,219,220,221,222,224,225,227,228,229,230,231,232,233,234,235,236,237,239,240,241,242,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,264,265,266,267,268,269,270,271,272,274,275,276,277,278,279,280,282,283,284,286,287,288,289,290,291,294,295,297,298,300,301,302,303,304,307,308,309,310,311,312,314,315,317,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,352,353,354,356,357,358,359,362,363,364,365,366,368,369,370,371,372,373,375,376,378,379,380,381,383,384,385,386,387,388,389,390,391,392,393,395,396,397,398,399,400,401,403,404,405,407,408,410,413,414,416,417,418,419,420,421,422,423,426,429,430,432,434,436,437,438,439,440,441,442,443,444,446,449,450,451,452,453,454,455,456,458,459,462,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,486,487,488,489,492,493,494,496,497,498,499,500,501,502,503,504,506,507,508,509,510,512,513,514,515,516,517,518,519,520,521,522,523,525,526,527,528,529,532,533,534,535,536,538,539,540,541,542,543,545,546,547,548,549,550,551,554,555,559,561,563,564,565,567,568,569,570,571,573,574,575,576,578,579,580,581,582,583,584,585,586,587,589,590,593,595,596,597,598}

Returns: "Possible"
{0,0,2,2,1,4,0,1,5,9,1,4,4,10,7,10,5,4,4,15,17,13,21,13,5,17,15,9,25,29,3,21,17,2,17,19,23,12,14,18,23,30,10,4,15,15,35,13,30,4,50,27,19,21,33,39,49,1,23,40,53,10,16,47,44,50,53,55,13,17,23,35,41,23,43,18,41,34,22,11,73,8,78,1,19,79,42,10,85,38,88,9,60,43,84,46,56,0,19,20,96,16,44,14,29,30,2,81,71,72,100,25,18,90,67,110,82,85,93,34,79,14,96,26,94,53,35,103,50,77,124,17,96,9,38,15,42,72,137,41,113,62,77,122,105,20,100,92,16,78,44,147,131,84,119,79,51,125,72,78,133,43,103,50,50,72,128,131,144,107,121,134,105,164,111,19,160,100,78,61,70,60,168,16,155,114,60,54,79,182,75,151,90,44,77,71,178,68,68,110,64,89,82,89,167,19,206,72,93,174,77,60,107,49,16,133,86,31,142,116,14,63,90,53,154,167,116,115,83,70,86,91,17,201,156,119,88,142,77,225,69,20,138,235,149,199,99,189,124,202,70,251,39,171,173,42,95,136,46,79,137,104,156,0,140,259,217,184,168,227,180,87,187,201,191,63,171,193,137,226,186,87,169,36,48,101,27,181,224,285,147,132,164,69,136,111,207,235,17,30,232,206,271,240,301,271,292,178,193,169,26,3,51,272,306,29,17,309,313,149,131,312,102,265,138,322,111,20,204,139,4,155,83,257,179,272,192,253,70,251,78,29,147,340,54,294,150,290,29,157,320,333,250,280,264,188,103,25,310,346,59,10,312,122,332,4,109,138,313,48,22,272,361,352,120,240,247,111,144,111,28,88,205,354,243,78,352,128,113,358,75,349,60,148,36,366,92,26,330,354,42,278,201,160,315,191,390,388,270,247,153,40,192,402,37,215,192,360,186,121,210,208,392,226,254,72,196,205,326,237,109,253,195,325,240,235,374,143,95,11,81,247,239,78,75,201,211,49,25,356,448,15,447,398,171,149,294,417,224,450,97,182,236,127,135,72,138,257,343,282,112,106,22,266,64,467,302,446,229,339,161,117,28,378,292,274,157,177,211,54,181,174,366,72,364,450,472,60,183,409,114,450,146,326,124,25,140,208,364,61,189,349,316,276,14,137,291,211,288,187,326,498,47,468,44,110,23,189,388,116,325,85,89,333,421,380,393,465,32,426,90,476,5,423,17,359,299,187,508,29,96,451,197,399,134,244,118,292,290,284,190,505,28,387,45,424,350,419,1,128,195,380,62,76,455,549,310,535,179,380,577,556,536,48,196,477,122,110,145,280,88,231,390,261,498,421,429,227,528,461,158,280,34,546,488,482,49,313,415,310,27,132,155,496,612,606,26,374,362,437,89,613,152,397,596,468,593,480,225,215,158,300,459,320,430,421,537,223,216,498,332,6,625,312,460,130,360,167,15,603,553,545,484,287,539,456,73,600,643,486,650,29,430,458,561,253,560,520,212,432,202,402,183,199,46,636,168,202,181,679,626,475,574,145,291,252,499,456,638,468,637,149,633,650,439,445,577,520,462,662,213,66,570,107,445,378,88,172,188,116,654,401,307,575,400,290,545,262,416,638,342,174,249,171,336,583,423,357,340,515,238,601,572,682,675,232,114,242,449,296,618,324,552,455,146,267,513,527,470,691,155,589,594,337,245,516,266,518,295,133,544,658,670,345,499,481,264,134,216,155,298,349,214,534,516,336,668,448,390,516,178,598,401,390,304,403,598,675,621,252,489,247,424,319,590,242,187,563,216,326,284,265,263,520,288,656,587,429,434,331,183,395,210,577,529,320,203,689,427,333,507,664,480,631,466,359,362,569,668,529,692,365,678,605,539,373,344,456,654,234,561,342,551,501,633,525,571,373,615,389,440,392,404,285,386,251,556,598,401,464,450,300,450,632,426,469,611,657,597,407,339,518,673,386,623,670,382,417,609,438,561,269,441,267,460,573,689,690,500,336,274,588,493,505,293,692,407,595,311,511,463,350,541,367,421,641,665,462,493,498,370,421,680,626,531,648,402,695,365,445,648,535,633,519,613,332,483,496,594,572,397,496,547,374,299,412,310,472,498,307,565,679,406,465,567,699,620,569,498,493,652,648,542,390,386,533,331,583,556,463,567,477,497,500,436,339,569,403,700,548,458,344,334,566,672,458,496,501,442,614,558,589,653,614,440,442,670,377,547,471,676,438,530,381,591,441,638,533,398,633}

{5,6,8,10,11,13,15,16,18,20}

Returns: "Possible"
{0,1,0,0,0,5,4,6,2,6,0,8,9,1,12,9,1,6,12,18,1,18,4,14,5,20,7,20,19,19,21,3,26,33,9,12,36,0,22,18,12,15,41,39,26,17,24,39,19,15,34,34,12,7,18,8,35,27,35,48,10,11,34,27,1,26,16,50,44,27,63,50,43,58,72,57,12,21,26,1,11,32,53,31,62,11,49,78,30,75,72,30,8,24,9,32,6,17,48,34,39,8,88,100,81,94,43,93,7,25,51,35,42,64,58,37,56,8,83,43,55,49,114,117,50,88,57,114,43,77,11,124,68,23,67,52,16,8,50,72,63,130,95,118,67,7,50,31,45,57,3,36,66,0,101,128,39,74,13,8,82,67,11,68,55,28,75,92,146,129,137,171,130,99,123,132,10,160,10,26,176,97,43,22,24,153,128,25,93,109,78,163,174,120,1,140,84,1,73,109,199,44,120,140,104,34,7,145,150,195,1,84,119,120,134,100,96,132,111,37,44,38,169,55,53,161,53,208,157,24,216,21,214,118,8,129,76,183,193,146,230,141,112,76,222,68,214,235,224,100,105,188,233,4,231,57,177,226,257,92,47,161,131,192,32,175,214,187,198,49,43,58,72,201,196,137,175,251,75,190,164,212,258,26,73,45,126,189,246,174,14,24,271,138,136,128,36,52,144,98,19,210,63,285,143,305,173,32,64,77,281,105,60,61,301,183,169,51,222,213,280,28,47,68,111,114,143,124,232,100,50,46,230,172,142,0,149,212,211,210,164,126,237,305,170,149,324,47,274,104,331,312,136,197,21,196,172,225,282,93,39,141,59,307,70,227,300,278,218,171,69,265,226,120,214,314,116,10,65,322,314,90,343,279,28,357,216,83,267,131,179,289,251,124,86,348,91,254,301,196,354,167,56,203,346,37,300,249,70,182,82,316,214,96,148,311,103,325,145,143,54,247,173,381,90,333,164,405,77,266,287,421,267,100,253,156,290,95,374,299,416,292,173,309,240,330,109,399,434,219,246,135,240,354,236,289,368,224,381,266,119,173,387,346,127,381,424,157,293,253,348,351,396,144,290,299,134,296,358,161,464,120,327,194,461,405,467,235,369,170,301,292,480,347,164,189,295,130,308,243,307,395,411,449,344,228,227,397,329,217,267,218,417,457,261,201,297,200,489,244,508,475,248,154,218,250,280,452,473,263,271,358,437,350,204,252,453,291,485,441,289,224,489,515,237,414,277,275,174,499,231,329,326,199,494,193,438,390,359,554,278,519,454,285,358,335,414,227,259,535,200,485,443,293,378,225,402,326,331,273,474,221,275,492,213,353,547,569,392,552,389,377,536,269,297,379,488,274,463,234,269,490,323,545,417,333,587,412,440,325,250,551,356,367,455,382,495,607,369,290,297,535,416,275,535,506,558,316,516,493,487,296,331,567,622,596,614,391,304,573,380,481,302,436,430,395,478,539,306,544,591,539,548,302,512,336,314,632,395,635,297,312,631,438,516,365,523,404,449,513,419,550,493,650,391,469,429,489,543,426,557,464,365,383,598,625,382,593,324,445,466,433,536,639,582,657,505,446,586,609,382,392,684,366,517,437,551,397,653,501,407,559,626,650,512,437,377,668,605,438,669,618,455,525,626,670,455,389,466,673,675,402,628,466,590,364,671,542,494,607,658,596,454,401,672,571,424,602,662,648,491,581,600,398,669,445,624,593,491,456,575,395,624,674,401,656,528,593,621,424,561,584,460,647,459,646,431,422,587,496,556,550,680,444,666,511,602,503,445,652,616,640,672,436,580,597,582,638,488,568,672,466,609,543,524,503,486,555,510,651,679,609,439,536,546,684,519,577,626,458,568,684,647,577,450,451,561,674,636,637,632,655,564,569,592,466,593,604,572,582,608,621,546,505,664,514,634,473,625,488,647,494,672,515,516,562,634,549,536,521,521,548,632,647,508,605,579,606,625,532,669,584,617,629,517,637,614,553,644,578,595,649,636,533,634,561,604,662,523,551,641,537,554,592,657,653,579,531,616,571,601,660,682,593,564,644,610,672,649,660,601,620,606,665,606,541,655,646,583,587,664,583,564,673,681,615,615,617,641,645,561,667,567,566,575,611,627,606,646,591,685,631,569,596,682,660,581,651,662,577,664,601,585,590,661,666,677,588,610,591,624,612,657,592,593,621,651,635,679,665,651,625,603,642,658,657,604,684,609,653,626,672,671,615,624,683,639,663,615,629,625,672,636,679,629,675,622,653,667,628}

{5,6,7,9,10,13,14,16,18,20}

Returns: "Possible"
{0,1,1,2,4,2,6,2,3,3,8,4,6,6,0,1,2,14,10,11,5,14,15,23,2,21,23,4,20,7,0,14,3,0,14,13,19,15,8,31,35,20,41,9,34,6,0,34,0,30,44,51,4,11,34,51,45,56,21,59,5,11,51,63,18,43,36,35,36,13,0,28,36,5,1,43,52,23,33,4,4,26,17,17,39,11,27,34,81,88,38,53,61,9,70,50,27,32,39,49,17,42,54,5,48,48,3,81,106,105,3,90,28,53,105,0,24,111,40,30,47,72,100,56,3,90,88,108,112,67,99,110,11,44,39,37,48,36,126,47,22,51,108,73,95,111,87,4,6,81,2,28,144,0,56,38,111,81,58,81,28,115,24,10,2,80,80,26,25,60,94,2,62,9,81,149,152,52,58,81,160,116,154,15,49,2,155,135,146,188,145,5,14,80,126,149,146,62,120,166,78,12,102,113,174,189,32,2,141,90,113,11,116,52,188,5,126,70,216,45,102,142,50,76,73,193,170,24,142,184,89,118,138,228,15,108,153,10,17,51,82,110,21,63,83,8,20,200,57,26,116,50,24,67,224,233,252,4,41,242,71,89,207,21,44,101,85,139,228,235,161,190,81,97,15,36,122,193,3,37,66,83,183,173,190,284,144,193,16,257,199,43,23,23,77,281,83,2,286,159,294,191,271,149,42,13,66,67,35,40,182,280,174,284,251,262,165,135,30,248,195,224,202,312,97,251,298,44,59,121,237,115,45,47,64,140,320,162,232,202,250,212,197,205,34,77,335,130,322,155,57,338,29,345,168,76,62,103,271,27,66,129,60,47,304,225,313,217,290,113,362,11,249,71,245,335,157,191,18,248,23,295,221,274,289,126,105,351,320,83,5,74,311,75,394,56,212,261,356,142,162,235,65,18,132,148,109,99,6,121,48,204,76,274,33,318,22,136,289,201,70,404,282,372,148,145,402,189,401,298,364,209,105,192,25,405,333,213,205,93,300,145,406,114,39,334,223,24,247,115,352,111,121,124,183,319,407,208,221,74,219,72,32,211,373,47,372,2,85,73,415,273,320,156,227,351,128,85,369,292,267,460,431,376,233,131,352,437,472,12,14,123,120,265,301,171,135,201,68,328,120,445,242,347,211,456,384,18,292,466,246,104,25,279,239,380,131,460,153,227,218,35,282,485,384,194,490,348,288,64,507,231,323,351,136,206,349,135,357,464,260,168,443,390,475,500,205,487,515,16,439,532,74,423,29,239,301,77,26,201,555,391,87,544,90,68,116,47,300,95,17,359,128,474,96,100,542,108,62,578,66,373,205,182,289,263,497,209,110,205,390,199,133,438,208,470,382,156,33,82,169,384,136,273,265,51,139,356,213,281,498,524,70,183,506,547,599,379,323,616,386,445,617,474,311,514,490,1,610,157,425,395,59,216,297,289,210,563,123,106,45,628,255,242,547,319,53,53,427,185,484,214,484,169,517,70,321,429,213,354,118,346,374,309,221,371,623,322,54,487,191,401,159,111,266,523,228,25,31,540,184,44,222,213,225,46,575,562,132,142,4,650,408,240,597,457,147,506,5,204,328,133,31,673,453,627,47,349,149,181,186,283,631,260,225,590,682,574,27,100,697,615,51,263,189,235,263,168,564,127,185,330,706,572,28,33,501,477,21,197,69,57,638,655,501,179,667,598,265,617,656,494,97,179,545,622,245,34,180,453,636,186,608,205,15,101,585,387,202,648,123,558,580,609,378,146,724,622,215,421,126,544,585,582,229,506,621,394,336,184,94,730,35,72,139,448,459,696,44,670,597,356,225,530,173,193,629,501,694,344,159,415,498,548,257,565,67,434,356,650,550,656,526,297,414,113,528,126,666,296,556,673,576,452,575,158,699,728,513,326,112,619,538,744,309,179,380,144,576,514,718,283,729,508,503,731,356,153,495,345,401,460,264,308,160,283,350,519,292,411,450,536,229,603,419,520,438,261,475,500,689,278,279,294,162,231,586,709,734,129,581,400,464,338,369,732,392,630,207,443,603,354,368,166,568,538,646,700,679,564,467,504,620,359,421,621,213,303,417,469,278,340,531,364,374,303,657,611,697,264,396,478,373,557,263,708,635,337,385,312,473,671,703,650,692,507,455,437,212,191,192,318,604,590,459,639,731,745,608,201,571,727,287,610,464,721,351,461,227,549,377,284,326,248,433,547,570,641,597,727,460,341,524,566,437,464,295,427,611,235,433,457,689,635,680,234,696,658,638,420}

{5,7,8,10,11,12,14,15,16,20}

Returns: "Possible"
{0,1,2,3,1,0,6,6,5,3,7,4,4,6,3,1,10,14,7,6,1,7,2,1,6,12,20,24,24,27,5,20,24,7,8,29,19,19,30,35,2,23,1,15,2,9,14,24,26,20,0,5,45,51,40,47,4,28,42,21,45,30,2,8,56,10,61,58,51,44,4,67,27,54,64,26,64,37,78,34,33,13,37,64,44,84,9,82,80,6,11,38,74,9,9,33,38,29,93,36,80,74,91,1,93,70,78,31,101,104,108,19,105,66,97,15,41,32,56,109,81,64,59,121,78,43,90,36,74,39,109,9,110,131,131,34,32,61,71,44,115,53,74,96,58,28,104,26,98,91,74,132,52,119,103,133,18,156,87,84,1,113,13,83,79,81,72,81,46,153,119,112,55,54,77,61,149,149,89,69,177,41,7,36,183,76,123,169,40,142,36,54,10,184,4,188,193,73,63,3,152,124,158,170,17,130,152,77,47,111,55,96,156,53,148,41,42,19,3,159,183,38,163,14,79,147,148,102,47,36,92,163,199,71,165,228,40,172,188,229,228,197,210,3,163,132,222,238,14,142,227,70,177,105,112,30,31,110,85,43,251,180,229,78,261,57,188,41,183,80,89,40,98,171,26,98,73,7,230,248,15,179,171,73,38,184,222,45,261,28,32,186,242,208,194,264,198,187,74,9,179,239,84,106,80,239,153,134,200,68,3,210,256,105,242,6,170,79,2,189,66,101,215,290,74,27,77,44,102,290,322,71,68,241,219,225,275,321,221,29,43,149,61,17,81,183,109,244,94,4,101,274,176,285,303,177,34,209,354,46,270,116,262,121,308,20,109,350,282,111,25,176,40,344,224,32,269,203,300,143,116,252,95,369,110,280,284,322,129,32,255,283,136,163,176,14,279,358,120,360,41,313,196,131,389,381,204,4,331,313,378,227,348,340,348,286,19,315,395,301,290,393,58,199,347,140,180,314,327,407,290,129,17,297,92,54,182,420,223,192,378,26,379,404,150,424,409,156,181,219,3,393,130,271,18,373,217,205,114,417,152,3,30,173,157,196,367,158,135,334,235,113,312,128,278,426,268,79,380,400,42,278,338,300,22,28,444,185,131,338,205,159,59,337,402,369,462,239,20,377,403,245,262,66,339,237,414,105,508,374,213,285,345,67,490,345,198,226,231,512,273,146,209,144,332,508,390,304,298,223,330,288,365,438,125,396,93,354,316,375,112,412,278,390,213,204,88,366,482,350,395,240,465,342,439,335,302,169,193,205,223,158,125,310,408,442,423,472,389,356,133,326,278,527,537,501,404,388,404,159,382,522,386,335,411,373,305,427,495,502,510,356,212,330,147,365,149,466,479,393,426,356,564,541,525,598,582,282,363,290,250,600,308,362,183,585,580,445,259,446,367,381,228,444,351,505,228,213,508,482,410,351,209,403,440,395,399,377,413,227,378,304,512,291,560,370,244,220,347,422,475,169,420,288,633,296,649,564,423,595,381,218,278,226,183,362,213,202,370,414,650,420,499,522,397,603,297,524,337,199,597,419,551,422,539,419,249,572,477,223,564,227,311,410,308,572,434,650,305,291,648,426,560,575,556,237,289,535,272,406,626,343,641,680,537,582,445,444,386,279,262,662,665,702,390,288,624,650,557,413,589,260,569,277,562,502,415,263,634,525,542,388,363,429,695,368,467,373,386,378,677,550,561,701,395,319,408,634,582,321,657,718,615,302,423,575,463,578,764,372,484,525,467,517,737,599,740,344,364,602,464,747,639,586,496,404,605,547,545,314,590,500,450,398,410,440,541,607,790,370,594,629,564,477,698,583,371,626,486,750,330,558,723,735,373,669,667,578,488,561,471,761,654,481,545,813,782,798,471,499,711,706,548,614,544,487,593,382,530,667,709,596,747,779,616,563,585,600,786,378,662,596,700,756,624,381,483,747,435,691,804,497,568,571,641,484,712,695,687,612,618,682,625,491,648,406,395,746,466,794,555,608,479,816,402,607,646,419,420,722,646,426,753,459,677,442,665,750,525,713,654,790,806,761,479,475,798,717,815,819,724,663,584,618,688,441,698,762,778,648,810,682,750,767,629,660,457,714,749,636,707,454,616,772,703,568,622,537,480,577,804,460,612,799,760,811,542,655,775,725,597,748,793,687,697,734,513,755,586,769,641,509,629,787,768,615,742,556,654,703,774,619,634,593,732,688,642,610,730,690,674,751,604,537,556,794,781,791,694,665,646,628,553,537,709,564,513,602,810,527}

{5,6,9,10,11,12,13,15,17,18}

Returns: "Possible"
{0,1,0,2,0,0,1,1,5,7,5,3,5,12,3,10,4,8,7,10,9,3,17,12,4,4,17,26,13,1,27,25,30,28,24,4,24,32,0,22,30,40,13,8,22,3,8,24,37,0,31,30,30,12,34,17,54,26,47,35,31,12,12,58,12,56,43,28,39,43,39,58,51,64,4,45,8,12,34,15,22,36,10,16,74,18,45,0,54,0,35,43,66,88,7,75,25,12,63,26,58,67,52,9,10,19,91,50,54,93,9,79,9,35,39,10,63,57,59,58,71,87,1,78,23,39,0,32,45,87,107,71,41,72,93,99,84,105,3,68,97,52,53,30,73,41,102,120,99,22,132,135,125,133,101,91,45,137,101,77,52,153,138,84,15,103,85,106,34,23,79,158,70,33,62,48,52,78,172,137,122,104,97,37,53,58,7,131,107,62,114,40,31,81,127,184,75,178,112,27,46,150,98,180,11,158,93,153,4,155,67,210,143,155,115,127,69,128,179,29,105,1,98,164,221,23,168,176,138,207,160,26,99,122,129,151,142,63,127,28,105,156,64,225,112,242,42,72,174,152,228,213,238,251,184,53,225,249,151,231,40,51,16,75,175,211,175,198,174,157,3,207,73,7,35,29,220,113,6,126,34,140,151,24,96,154,161,270,287,214,190,90,209,49,194,2,244,173,65,49,22,79,92,84,268,231,171,143,69,211,154,91,292,204,74,37,272,3,116,293,107,180,40,252,24,192,263,147,321,286,73,85,215,244,302,161,73,186,250,310,279,15,104,244,226,173,333,305,28,99,293,268,177,349,13,301,99,124,38,185,294,163,152,170,352,250,357,8,203,58,257,199,346,100,108,5,321,136,23,363,147,313,217,344,346,17,8,322,71,48,126,58,340,390,76,346,217,234,101,30,280,166,345,129,210,293,295,370,244,354,135,183,69,369,92,93,141,98,343,238,228,185,347,121,284,264,172,56,129,299,115,391,407,150,356,384,280,196,415,55,341,85,342,2,121,414,41,367,362,159,159,214,229,387,269,289,277,27,393,373,223,441,205,359,303,432,84,337,122,99,337,368,180,42,76,475,86,319,235,290,145,105,150,401,478,333,156,311,414,477,102,51,278,99,378,98,389,469,420,195,384,233,397,134,482,482,105,105,362,169,300,297,63,333,303,200,60,449,307,109,228,229,408,520,342,161,514,195,435,479,206,229,355,423,295,276,221,239,455,224,94,485,481,247,179,506,496,281,349,94,470,410,326,375,412,272,467,251,411,362,233,342,271,242,375,460,185,211,470,469,204,511,558,298,295,247,489,293,144,249,223,145,299,521,251,324,139,144,494,302,471,166,317,411,431,391,541,553,204,268,592,221,198,367,260,365,519,587,322,583,172,579,383,280,258,371,472,163,183,507,425,233,567,318,435,607,309,608,556,613,600,360,465,270,610,549,189,582,456,327,346,360,385,632,603,431,366,314,499,195,264,357,242,534,268,384,304,502,563,333,568,473,312,517,478,382,419,321,398,234,274,582,422,609,235,386,232,373,219,236,516,623,338,679,536,672,286,481,664,276,332,510,452,638,626,263,677,479,368,399,298,617,580,324,578,267,523,375,687,646,542,314,622,310,258,335,259,322,475,520,488,688,300,281,457,323,295,402,638,444,522,459,648,465,311,473,318,414,535,426,400,335,486,472,550,528,657,447,630,423,557,633,307,522,353,556,509,671,666,692,421,487,596,577,449,418,480,696,308,674,389,320,368,417,413,681,672,653,618,546,644,666,449,327,439,699,464,509,577,495,559,404,669,466,452,375,563,539,375,378,346,499,470,643,435,583,430,611,695,481,416,402,508,576,396,579,550,624,417,495,651,596,478,484,463,509,588,689,384,501,697,415,673,613,417,434,379,511,456,416,666,639,405,411,600,497,497,693,542,643,498,626,459,553,454,478,500,572,682,610,427,575,542,584,605,455,630,609,579,494,488,553,563,515,642,421,516,549,451,513,625,705,548,506,668,480,556,639,585,459,455,580,501,647,542,469,446,629,706,529,616,687,622,580,522,499,621,469,471,609,455,642,562,684,465,619,702,507,702,533,649,553,572,611,658,607,557,562,557,673,684,569,619,590,557,696,557,540,668,502,660,669,628,618,527,674,493,694,564,511,618,616,684,664,501,523,645,575,658,539,551,550,526,686,623,539,634,561,546,519,530,548,600,565,543,702,648,539,605,612,692,560,609,705,616,695,626,629,602,628,635,693,601,702,691,557,658,553,692,550}

{6,7,8,10,11,12,13,14,17,19}

Returns: "Possible"
{0,1,0,0,1,1,6,3,6,7,6,8,10,13,13,9,6,11,2,5,13,17,11,7,23,0,22,24,1,8,25,12,13,22,16,13,36,30,8,4,18,19,19,11,28,33,3,28,22,20,11,19,10,46,24,41,54,54,11,37,56,61,51,37,60,5,21,2,67,43,31,9,14,23,50,22,45,26,50,20,13,38,38,31,55,70,67,18,23,3,2,67,66,35,84,20,25,52,90,58,95,70,65,62,54,56,48,81,57,107,38,84,39,97,25,75,19,42,44,83,18,111,50,40,70,123,46,94,110,113,96,32,28,4,124,22,78,113,58,112,107,25,1,128,71,140,105,1,125,34,143,83,6,46,90,75,42,150,95,38,105,45,13,46,142,128,142,142,90,78,7,163,80,80,133,157,50,45,11,84,29,21,87,180,45,171,176,115,54,52,76,145,132,91,123,179,0,28,53,121,171,7,50,15,26,40,202,207,103,87,38,160,114,6,81,10,90,105,65,34,176,50,129,3,138,161,98,119,65,166,205,100,218,167,0,210,27,212,178,105,3,26,228,236,122,241,60,2,44,4,82,159,182,200,195,95,153,129,1,182,204,113,249,218,78,166,122,93,226,81,217,128,67,192,34,150,89,260,100,48,98,232,225,13,236,200,37,73,277,123,16,51,2,182,61,176,67,256,230,236,179,71,234,231,30,238,102,169,295,118,90,23,105,126,171,286,185,46,129,38,173,74,183,220,129,287,79,321,92,166,74,63,257,161,329,51,104,62,180,313,75,216,173,131,124,156,135,205,39,72,321,122,20,5,14,308,220,277,202,26,28,183,52,91,187,150,41,71,236,255,11,166,186,316,0,26,357,321,310,346,222,133,282,309,138,340,323,379,321,236,77,299,366,143,333,136,293,229,41,36,237,245,39,396,18,135,5,333,62,315,335,26,9,22,343,266,199,140,199,265,417,22,7,131,199,387,272,425,426,49,87,169,240,90,330,56,46,73,237,375,242,418,33,192,1,367,53,35,131,345,325,105,310,261,420,380,26,294,237,337,32,142,345,11,179,267,53,385,421,302,174,420,256,167,282,259,206,364,440,212,102,23,290,372,182,342,79,258,301,196,292,212,54,377,418,447,18,486,371,226,249,274,59,96,58,4,119,471,92,178,5,112,323,40,146,41,426,345,29,272,180,74,158,127,109,385,400,441,121,132,159,368,430,18,306,310,141,71,455,385,317,258,341,461,329,493,283,428,437,466,100,516,526,113,61,463,108,538,506,475,167,491,419,279,543,378,147,60,214,195,456,483,61,310,445,409,476,484,205,79,140,507,558,487,450,377,369,243,462,559,302,484,197,314,156,156,525,282,265,321,275,334,340,220,490,141,511,295,239,558,193,92,190,275,271,220,398,529,381,328,189,233,260,306,281,530,413,253,512,264,370,148,512,414,409,111,111,356,322,236,370,191,118,199,119,504,328,392,496,547,464,178,508,492,233,410,271,176,293,553,495,364,273,440,252,382,448,431,503,344,546,393,338,435,370,383,166,286,409,269,480,283,275,440,229,547,251,222,373,282,398,238,170,217,275,255,444,219,220,193,304,421,558,557,242,291,204,255,292,346,235,331,448,357,357,206,277,387,293,229,269,256,338,456,285,469,277,388,255,385,205,334,310,407,298,269,213,303,356,426,313,361,400,360,436,366,387,391,331,307,469,502,524,536,559,327,405,492,360,560,466,341,414,291,317,275,325,427,279,505,353,382,320,520,368,276,264,526,354,437,260,287,280,511,332,360,338,401,280,346,415,359,300,414,536,480,353,555,329,310,341,560,505,346,509,341,495,408,493,506,472,484,440,297,485,539,419,291,386,326,434,298,299,486,451,339,405,301,384,474,438,368,429,521,430,511,338,369,483,416,355,467,475,379,508,470,476,333,336,329,400,489,519,421,350,346,507,542,333,365,425,452,512,354,496,465,356,492,552,487,537,435,397,375,402,547,384,419,552,470,405,532,376,413,430,401,457,424,558,508,469,555,373,559,477,447,420,555,446,508,405,466,555,466,401,432,509,532,487,432,466,480,482,535,403,397,425,529,472,479,444,440,437,523,418,440,545,526,543,461,409,466,414,501,443,557,528,480,449,422,432,451,541,498,449,477,526,459,469,543,461,452,542,448,456,463,445,551,528,436,527,535,502,555,524,560,503,454,456,448,464,470,515,530,510,453,546,523,551,516,454,496,461,501,466,555,522,482,554,518,540,495,473,557,491,505,492,490,538,515}

{8,9,12,13,14,15,16,17,19,20}

Returns: "Possible"
{0,1,2,3,2,2,5,5,8,8,9,10,0,2,4,2,4,14,3,5,7,17,12,21,15,10,1,3,5,0,13,1,21,27,9,5,36,13,16,11,39,40,31,18,8,6,26,12,25,24,3,5,31,20,19,5,25,9,42,9,38,53,51,26,41,51,41,44,8,38,29,31,25,67,6,27,36,48,59,61,54,75,64,27,5,28,15,45,18,63,21,19,46,6,45,11,9,26,34,51,8,71,29,52,1,27,12,74,72,84,106,72,104,41,25,112,28,107,85,16,35,81,34,8,112,71,9,24,78,74,45,111,58,26,10,110,24,62,67,134,20,56,100,16,132,21,74,51,64,25,100,42,46,50,78,49,47,61,63,5,158,96,148,27,47,108,12,144,151,159,41,36,100,23,174,171,70,157,80,9,98,120,104,142,32,155,10,13,2,104,46,22,149,131,28,72,144,144,20,80,66,21,97,132,93,159,124,204,176,139,75,18,201,94,115,50,0,196,183,57,78,91,211,112,157,73,182,25,111,142,0,193,190,144,89,37,28,185,82,102,235,219,76,197,114,133,2,97,142,203,37,224,188,170,169,53,42,257,135,135,107,100,82,31,45,12,182,263,20,186,59,239,265,103,24,58,73,122,5,247,196,15,48,63,231,59,49,106,266,156,39,141,180,281,278,294,95,24,228,3,217,74,128,58,50,71,265,179,233,43,172,232,141,302,101,173,48,279,256,83,48,174,143,272,189,33,203,250,255,319,187,113,235,221,54,155,307,31,175,9,84,14,316,96,118,213,234,271,22,272,5,181,275,29,266,67,47,352,158,271,109,144,207,44,185,89,317,278,157,189,274,14,232,308,34,67,376,219,170,76,232,187,24,338,2,84,242,131,243,344,60,145,57,175,383,129,306,319,143,255,370,125,221,354,265,97,350,77,64,52,209,86,221,47,395,26,68,227,231,327,250,54,86,92,199,47,246,364,116,237,264,86,78,258,281,409,53,92,382,426,266,421,367,290,433,310,199,101,370,98,407,436,393,320,424,150,278,80,239,114,91,243,429,76,451,310,282,433,410,262,214,321,186,303,378,358,168,102,253,126,361,387,464,204,466,386,156,380,145,162,311,327,270,324,478,247,194,120,379,149,399,308,133,472,112,161,183,483,499,191,458,418,167,417,238,371,310,190,143,404,406,268,146,401,148,235,398,212,140,432,385,231,192,171,448,322,410,528,292,165,458,275,202,303,151,181,500,370,293,402,286,312,167,445,438,202,249,431,240,306,523,348,315,544,489,540,286,448,208,181,453,281,431,352,238,276,561,506,296,552,358,308,378,345,340,486,482,256,252,203,265,218,430,530,388,246,450,380,497,444,417,549,573,383,406,426,530,340,370,234,505,224,498,580,388,575,476,470,273,268,255,516,599,393,534,458,384,265,405,434,529,533,604,309,238,557,594,283,412,349,428,557,492,399,583,336,259,482,266,640,553,450,442,394,366,599,409,463,511,382,302,585,521,639,392,368,458,411,312,411,296,620,430,322,640,376,338,311,283,556,633,486,535,453,343,608,573,440,591,347,531,318,419,385,608,566,617,548,438,336,553,553,581,536,332,552,597,429,524,345,568,470,402,604,376,415,553,558,520,513,370,476,529,530,593,348,648,433,357,357,569,451,406,361,422,503,642,420,374,516,443,590,452,577,479,437,448,372,547,356,604,635,532,536,531,650,473,598,622,485,591,617,625,373,619,550,558,618,650,415,453,488,454,516,546,627,574,569,500,505,479,555,430,551,622,428,502,613,421,647,628,571,541,560,511,480,636,559,464,461,435,561,423,415,502,524,545,498,440,559,647,501,472,563,491,512,579,478,519,463,473,603,523,586,593,479,544,559,581,457,470,498,551,554,540,447,510,532,464,568,475,444,627,597,479,633,647,451,614,536,565,601,517,572,531,482,505,467,600,598,472,613,487,576,634,502,576,543,491,606,555,546,551,574,562,521,588,582,560,639,484,582,491,607,598,517,542,618,574,558,572,642,537,522,645,621,556,633,563,504,623,645,629,560,633,555,538,587,574,641,648,606,634,634,607,646,603,588,639,546,563,625,558,536,561,532,614,614,638,609,604,614,570,558,610,539,579,556,559,574,622,640,545,559,579,550,614,610,621,609,563,647,638,606,614,563,609,593,612,629,626,619,649,599,621,633,623,611,621,616,648,579,586,576,625,594,632,603,610,618,585,622,650,644,635,610,624,610,613,627,612,620,645,597,608,604,620,605,629,642}

{6,8,10,11,13,14,15,16,18,19}

Returns: "Possible"
{0,0,0,2,3,2,4,3,0,8,6,6,11,12,6,12,1,6,0,0,13,15,4,15,20,18,17,26,24,0,28,23,14,30,22,33,34,25,15,18,33,40,34,25,2,37,1,46,1,19,31,27,3,14,10,35,25,54,45,8,37,18,40,24,59,9,63,2,47,25,70,45,13,43,27,39,7,31,71,68,17,75,15,58,1,72,47,57,63,63,13,72,20,52,30,90,11,75,98,16,45,4,45,96,27,23,20,95,70,4,16,36,76,74,82,72,115,14,96,90,11,29,27,11,32,124,116,72,11,47,17,106,72,91,107,63,37,23,49,11,45,59,94,113,94,84,122,82,56,92,16,1,100,65,121,49,13,54,11,133,62,117,2,15,160,138,43,39,29,20,119,96,98,101,131,95,146,38,62,127,127,114,80,170,41,65,135,174,132,144,149,54,153,184,68,104,109,69,198,139,54,177,38,125,146,144,107,131,53,147,193,202,84,40,169,98,7,68,103,54,140,12,0,62,155,36,200,57,90,92,81,47,182,163,26,208,165,162,8,143,196,140,185,62,236,36,183,3,41,62,226,128,218,4,70,129,207,236,185,42,81,140,179,135,19,131,102,267,216,53,211,10,22,168,267,128,183,28,188,43,27,240,45,229,282,78,215,163,109,44,51,182,242,166,90,160,109,2,118,131,48,267,17,261,34,246,306,28,83,115,181,254,35,190,104,241,11,34,47,136,313,81,50,198,133,274,48,77,58,263,46,88,267,106,290,102,103,167,278,318,137,54,151,70,17,331,182,292,219,166,259,181,336,235,18,14,207,33,273,122,87,277,256,286,42,332,72,64,129,118,56,353,3,173,184,353,9,72,250,253,14,8,206,45,382,65,283,374,285,106,305,44,140,325,256,304,191,39,87,295,208,198,335,34,96,65,84,162,354,18,289,362,188,134,10,245,96,58,2,106,359,297,255,270,115,258,118,299,25,31,198,63,352,257,262,217,250,410,84,318,209,141,383,341,215,330,192,271,183,353,418,193,277,195,398,116,103,431,60,443,82,5,149,13,365,168,13,402,254,397,151,192,221,429,13,323,277,361,146,385,389,14,317,144,155,340,230,218,463,170,109,448,324,234,351,100,7,481,242,412,30,447,64,277,470,455,324,440,492,345,67,496,306,148,415,140,244,120,271,135,226,63,157,191,273,255,323,442,417,294,216,458,238,207,346,524,314,431,31,438,508,361,527,43,74,324,514,496,424,386,56,108,148,433,172,460,179,131,262,65,259,235,386,71,41,398,232,102,148,255,274,427,144,529,360,92,397,348,279,311,469,540,372,183,475,245,327,387,157,290,419,457,81,85,123,85,426,469,134,587,510,419,135,219,230,355,461,376,293,604,414,240,333,126,121,342,479,551,185,360,377,436,509,174,240,344,180,182,281,518,544,574,449,225,622,311,497,537,546,503,174,117,129,324,398,348,306,360,292,453,306,308,381,554,198,195,573,425,445,519,331,325,148,341,611,227,448,653,210,647,183,477,190,407,550,308,512,536,461,413,559,622,391,170,647,631,614,492,161,245,622,341,422,328,604,596,460,623,697,234,504,244,187,326,218,645,661,345,320,468,421,677,340,698,592,335,400,544,250,603,498,683,213,238,524,610,514,650,628,476,369,269,526,732,349,577,317,693,412,227,214,659,557,522,255,460,562,514,480,232,335,517,543,482,407,234,568,589,421,750,232,718,428,457,523,434,259,309,625,363,338,670,744,699,627,345,298,380,508,611,473,775,324,663,419,340,424,595,467,317,389,711,290,567,547,641,534,552,421,767,427,345,769,311,714,786,332,679,769,696,627,324,411,286,616,385,450,812,463,505,419,817,767,537,400,543,362,675,553,749,498,659,521,443,716,454,336,464,382,465,360,662,716,648,688,461,664,607,383,344,336,799,748,662,776,491,358,618,348,728,653,845,838,632,544,770,398,469,808,746,405,736,470,771,728,429,578,826,702,443,519,391,812,666,608,467,738,559,459,399,821,610,556,484,679,847,465,719,369,513,749,686,641,667,618,815,508,785,586,433,834,589,731,490,446,622,401,835,571,825,487,408,768,678,678,575,627,791,701,586,822,537,817,521,510,415,789,440,784,647,474,614,591,418,774,705,459,492,499,794,659,769,717,575,484,511,567,718,670,483,733,682,607,503,475,768,445,738,667,712,654,469,526,775,564,751,624,619,551,834,531,620,839,824,550,705,761,751,626,640,468,676,484,731,763,730,600,483,694,761}

{5,6,7,8,10,13,14,16,19,20}

Returns: "Possible"
{0,0,1,1,1,3,4,4,1,0,5,5,5,8,6,4,3,4,15,14,16,14,2,8,13,9,26,26,22,11,4,19,8,10,33,18,27,20,26,2,21,29,27,8,27,4,27,5,22,41,47,11,6,18,5,45,20,52,19,54,18,7,46,60,26,18,11,53,29,40,37,23,8,48,22,6,30,76,49,6,48,48,54,61,77,60,38,26,7,66,65,32,60,54,75,54,59,27,93,83,56,101,72,7,15,75,82,16,58,15,15,27,77,94,107,32,78,83,46,61,87,49,88,19,64,115,89,39,108,115,78,19,6,70,108,109,65,18,59,101,122,138,116,40,14,76,101,14,136,38,128,32,95,138,72,111,58,138,130,81,46,15,22,65,156,91,52,111,96,71,79,144,57,77,29,152,80,136,2,126,133,125,155,87,12,40,124,139,42,134,104,4,6,123,14,66,17,87,196,184,54,108,54,35,144,146,89,84,92,198,116,145,143,8,75,125,187,121,183,128,193,198,134,160,140,101,77,177,67,71,171,228,195,165,73,127,15,5,33,237,23,133,48,61,69,219,113,156,65,134,134,76,24,186,111,136,43,250,57,226,126,127,124,88,74,239,147,106,47,105,108,242,151,71,206,59,256,141,127,57,197,40,186,273,50,191,273,272,113,276,268,64,96,289,243,241,261,267,188,185,128,103,123,157,60,256,168,246,303,226,98,246,191,223,288,251,184,203,192,118,214,80,174,146,243,235,157,317,267,278,221,293,298,318,164,180,124,309,204,270,310,205,144,285,238,307,320,224,241,236,272,255,279,120,348,329,284,192,253,322,196,306,179,334,343,361,170,321,236,230,333,198,335,282,135,130,162,232,338,243,313,179,211,382,355,261,184,350,297,222,179,356,175,146,145,242,318,292,389,307,314,215,199,372,342,373,305,158,296,312,283,265,192,388,266,177,281,357,206,357,231,300,388,308,261,288,399,399,199,357,276,233,372,324,209,387,364,233,349,191,267,424,399,194,421,369,407,322,403,262,251,301,204,334,243,322,259,367,368,347,228,259,401,401,241,366,322,226,256,323,403,319,458,462,310,403,445,477,448,265,273,423,266,315,306,467,469,408,478,487,354,258,262,406,392,293,431,486,333,301,358,416,302,265,319,374,504,429,292,506,295,335,393,506,287,297,515,461,475,337,331,365,443,429,407,522,292,375,517,356,378,329,499,506,489,297,494,535,495,403,531,480,423,457,460,498,513,366,331,480,379,338,330,362,427,365,529,443,354,461,448,381,403,527,344,415,442,496,346,539,426,386,542,484,407,477,463,476,467,404,566,350,342,465,496,354,401,555,566,363,441,431,581,553,521,494,459,411,559,447,420,552,424,376,456,490,559,403,574,429,569,369,554,477,595,379,563,368,583,550,434,464,478,466,465,476,557,545,623,541,554,491,497,461,410,620,496,516,522,544,408,481,540,531,498,617,578,476,570,610,466,420,637,595,550,637,626,593,528,655,621,606,419,514,583,422,491,439,432,567,522,546,615,570,653,515,662,610,533,450,526,469,600,535,522,607,500,561,642,463,567,569,456,640,648,591,496,553,520,507,653,483,632,671,538,521,560,632,652,481,671,495,624,493,630,590,698,473,623,662,531,479,563,583,493,588,684,667,497,555,695,605,625,527,688,600,573,558,613,521,689,724,651,619,535,713,555,585,582,558,530,650,567,579,625,740,580,747,672,701,515,673,694,575,685,649,706,745,660,602,587,621,619,664,622,704,668,659,627,579,686,653,664,561,680,683,620,565,595,603,628,597,713,546,648,698,619,632,686,738,664,728,643,676,577,602,732,655,657,621,725,683,682,619,625,628,678,655,748,718,669,648,687,745,737,697,734,718,741,602,751,645,589,659,725,666,753,695,709,657,720,619,615,629,731,694,698,619,644,600,636,752,604,756,704,648,715,671,732,637,675,623,727,713,658,667,712,637,635,722,735,711,628,704,728,677,636,729,752,641,687,636,651,742,731,752,692,756,725,748,761,660,676,717,757,688,699,707,686,733,675,696,713,689,746,760,663,740,699,697,738,678,759,744,740,668,730,709,672,752,730,729,707,753,702,751,701,681,760,692,729,760,731,692,704,760,732,709,720,738,757,708,711,720,745,761,715,746,755,712,721,704,740,709,710,750,748,738,741,743,726,737,745,738,725,760,717,729,740,761,743,750,725,748,758,757,747,761,754,751,751,757,745,755,736,742,761,748,741,753,751,748,755,755,757,757,757,750,759,752}

{5,6,8,9,10,11,13,15,18,20}

Returns: "Possible"
{0,0,1,1,0,1,0,3,4,1,1,2,7,7,7,15,8,0,18,9,15,1,21,2,21,5,2,25,14,26,14,2,19,21,18,19,13,8,9,25,19,2,27,32,31,8,34,16,4,21,4,19,12,45,14,4,23,11,3,7,17,43,41,53,20,11,7,59,8,15,41,9,41,61,36,28,7,4,21,29,78,45,20,2,53,30,7,4,42,16,40,27,22,15,27,53,45,50,73,85,54,95,3,8,5,5,103,12,74,68,73,89,58,43,19,65,49,60,63,60,52,21,48,79,112,14,77,6,46,19,104,106,70,45,48,98,39,58,69,22,130,77,99,25,83,115,32,92,125,20,8,32,134,94,70,53,150,34,85,13,138,112,24,16,31,55,96,98,36,50,111,115,120,109,104,144,101,143,129,151,164,166,151,77,76,134,126,103,172,97,138,110,175,37,175,164,74,79,75,117,196,94,150,112,145,3,51,147,17,10,134,182,169,183,186,94,167,161,76,95,197,201,213,76,5,157,184,11,195,43,168,214,47,75,43,139,173,11,126,150,229,148,45,64,57,244,104,24,176,233,27,51,128,238,188,76,228,179,174,179,50,157,34,258,244,75,181,162,198,265,101,28,64,242,3,267,79,47,152,39,232,5,172,121,251,145,276,209,175,273,250,130,252,195,94,276,99,30,279,52,201,70,39,41,183,40,46,126,100,213,229,238,165,56,200,87,56,189,104,0,112,243,191,254,307,136,59,209,320,309,111,208,319,285,154,34,54,134,2,53,162,130,311,41,301,290,237,95,292,306,343,156,143,90,314,37,107,193,218,12,275,64,4,156,124,41,325,107,222,369,83,40,226,30,297,245,121,31,229,259,232,216,146,128,220,180,10,200,66,264,162,177,78,130,15,226,248,39,170,123,339,333,254,344,381,36,70,0,189,77,364,257,85,103,12,299,77,126,117,1,158,154,341,21,120,222,189,274,272,132,178,13,194,111,136,45,409,365,36,193,357,362,94,179,433,308,310,402,411,80,256,237,294,285,280,131,252,85,294,300,380,260,152,186,379,310,249,6,381,13,432,429,40,362,268,50,339,305,339,422,315,291,352,459,483,258,261,23,39,169,419,25,237,242,233,118,286,303,355,485,489,475,285,458,355,427,415,273,64,325,455,43,510,146,319,430,246,136,247,309,447,162,266,144,460,456,50,357,279,6,138,404,117,30,360,202,123,242,324,52,522,422,132,133,354,252,41,502,257,377,51,513,278,507,397,541,77,136,525,155,552,357,324,283,63,473,267,426,69,523,408,192,396,99,80,279,405,137,172,47,150,336,138,6,355,264,126,516,438,574,416,235,165,275,521,444,265,155,548,277,230,307,469,272,175,182,450,358,263,406,474,58,395,159,274,545,428,132,475,365,150,468,615,282,267,238,271,549,484,73,153,361,161,520,339,244,348,6,551,503,404,487,28,342,352,570,345,598,244,385,115,33,84,135,221,284,315,567,330,253,429,154,8,136,516,478,615,585,435,409,370,75,85,68,243,95,591,574,175,425,361,235,625,72,20,375,663,405,406,20,511,312,460,83,568,167,53,497,73,690,374,595,574,553,695,512,543,562,317,519,139,309,518,466,550,688,180,166,597,104,583,182,342,167,498,613,385,578,571,703,306,711,374,211,645,371,203,511,175,389,583,485,49,319,333,738,451,687,2,649,233,139,100,551,408,517,554,748,717,565,45,146,201,256,276,29,416,655,403,66,499,754,397,177,321,667,394,681,152,176,713,301,391,304,312,67,443,26,149,489,331,347,37,14,16,682,728,53,524,223,649,141,572,309,145,758,736,37,419,555,110,795,370,581,663,28,339,512,783,199,650,400,540,777,65,359,480,692,181,804,790,647,107,652,238,776,39,375,61,593,398,352,411,761,382,705,496,178,446,78,697,418,596,94,245,179,769,279,562,754,812,775,641,813,751,809,783,385,285,441,535,66,621,307,456,412,484,660,713,344,826,187,461,245,579,769,8,77,333,789,97,250,1,715,820,128,313,501,815,522,504,774,365,631,704,580,701,234,581,778,685,526,676,604,831,635,687,101,837,608,231,174,686,299,639,281,791,433,715,569,167,80,367,296,809,231,638,583,830,740,194,192,720,105,767,265,305,120,50,656,725,741,362,328,827,546,499,357,374,172,730,494,327,290,139,698,684,256,804,265,622,608,233,841,302,590,458,244,145,315,298,518,679,519,567,462,441,670,546,635,727,849,109,290,807,702,696,187,708,124}

{5,6,7,8,11,15,16,17,19,20}

Returns: "Possible"
{0,1,2,3,4,1,1,1,5,4,1,5,10,5,12,0,11,15,15,13,16,2,14,9,7,10,25,15,23,12,27,13,12,32,17,34,13,23,32,31,30,40,21,23,37,23,43,37,42,27,30,44,38,46,47,40,40,57,57,46,54,47,39,43,45,63,59,61,47,59,55,70,54,55,61,75,71,67,74,69,63,63,75,65,79,74,70,70,66,78,86,71,79,92,72,84,86,93,96,99,92,97,88,81,103,90,92,88,89,109,110,89,101,107,98,101,98,100,111,107,105,107,119,116,108,123,104,114,119,128,120,121,128,132,121,125,126,115,128,119,133,137,140,128,132,136,125,139,133,136,127,129,132,150,135,143,154,151,142,142,152,151,143,162,164,156,154,149,156,150,167,167,157,165,152,159,175,176,171,177,165,175,179,166,168,165,171,173,171,185,169,176,177,192,186,175,173,183,184,188,182,197,189,189,187,195,186,187,196,190,207,206,190,198,202,211,212,213,198,217,199,210,203,218,219,209,210,223,218,226,208,218,210,210,212,217,220,231,223,236,225,238,235,223,225,242,246,240,231,236,244,251,229,244,241,236,256,248,255,254,249,239,258,242,243,257,256,266,261,261,258,268,266,268,256,269,261,261,271,278,268,278,264,282,281,269,281,286,280,266,287,272,278,271,289,294,284,278,282,293,278,298,279,283,297,284,303,306,292,309,288,303,294,295,314,299,315,299,296,297,305,299,313,316,316,317,304,321,316,328,309,313,321,310,315,319,335,319,322,327,320,318,336,326,324,337,344,327,335,337,334,330,342,345,332,338,339,350,336,359,342,361,343,348,342,358,362,361,367,347,370,368,364,367,370,362,356,357,363,378,378,380,373,374,365,374,384,379,368,388,376,370,378,374,379,383,388,382,377,389,377,393,397,392,391,390,399,398,397,395,388,405,395,392,400,401,400,411,417,411,399,416,417,422,411,407,423,425,416,407,410,425,416,420,427,423,417,422,424,417,436,429,426,441,436,443,435,432,441,432,440,451,439,435,453,452,449,448,444,457,442,453,447,446,448,443,450,445,453,461,468,470,452,469,466,453,463,456,477,470,462,470,469,483,474,463,485,477,486,489,476,490,479,477,472,486,474,496,478,477,500,481,487,498,503,486,486,502,492,496,497,499,506,495,496,497,512,508,495,516,517,509,507,506,510,516,512,514,519,520,519,521,530,511,513,522,514,515,515,532,529,534,538,536,535,538,539,535,545,532,540,537,537,532,552,552,554,557,547,537,538,553,546,545,550,553,557,564,551,562,551,562,565,557,556,560,570,571,563,579,558,573,565,568,561,572,579,570,586,573,590,591,575,581,571,594,580,578,578,590,581,578,597,580,601,591,589,592,592,607,587,597,607,593,593,598,612,604,616,618,607,610,601,606,624,622,613,613,615,606,612,611,623,626,630,620,626,636,634,632,628,622,642,643,631,626,642,645,641,643,627,630,644,644,631,642,642,644,641,641,640,655,661,642,660,645,664,653,657,662,661,659,650,665,657,654,653,656,674,671,669,662,662,674,680,662,674,682,671,672,682,668,681,672,673,690,673,684,676,694,695,698,698,703,692,691,689,701,705,706,705,707,711,696,702,710,716,717,706,711,707,707,707,719,705,725,710,714,715,723,720,722,710,711,724,728,729,736,726,727,729,735,736,743,728,732,735,728,742,748,729,739,740,737,752,733,733,739,739,739,753,750,755,747,741,752,745,751,765,746,763,759,767,773,763,760,767,767,771,767,760,776,782,764,779,763,782,782,768,786,778,769,779,775,790,788,780,774,778,798,789,799,795,794,783,803,790,798,807,787,799,793,794,806,802,797,807,815,803,811,807,801,810,807,819,802,823,804,815,807,819,820,820,814,822,819,832,834,837,823,836,833,828,833,833,828,836,838,832,846,833,844,832,849,841,847,853,851,836,839,851,852,842,849,845,852,860,845,846,857,849,854,853,850,853,859,855,864,872,866,880,872,868,861,863,877,874,883,885,877,884,871,886,890,872,886,876,886,886,881,887,895,886,882,904,899,896,904,907,902,899,902,896,907,897,899,907,896,903,903,910,899,904,921,924,904,910,913,912,926,910,926,912,929,911,934,934,922,921,936,937,937,921,934,930,923,930,936,931,928,935,928,948,932,946,951,952,940,943,956,956,961,957,954,942,950,956,948,961,952,953,967,972,961,961,965,957,975,961,970,963,970,960,966,969,964,966,980,969,978,968,968,978,971,971,975,977,975,978,979}

{10,13,28,40,42,47,57,65,74,86}

Returns: "Possible"
{0,1,0,2,4,1,3,3,2,1,2,2,2,0,5,5,4,5,6,15,13,15,15,7,24,7,20,17,26,17,17,13,18,32,27,25,27,19,36,37,36,28,37,40,43,36,38,29,43,34,39,42,45,39,43,50,44,41,42,51,50,61,46,50,46,48,66,55,64,63,68,64,68,57,58,71,75,68,72,63,72,61,76,72,83,69,86,72,74,85,85,78,87,80,85,94,88,85,97,93,80,85,95,100,104,103,105,94,93,98,92,97,104,109,96,108,101,111,108,100,107,118,108,108,123,117,123,107,110,123,117,129,122,115,124,134,123,121,134,132,133,124,136,143,140,132,126,127,140,139,144,135,144,140,142,146,140,144,157,144,157,161,159,163,162,146,150,164,152,166,161,160,155,163,168,162,161,169,159,174,176,173,165,180,183,176,186,168,175,186,172,184,188,185,180,178,193,178,196,193,188,181,195,203,202,191,196,197,189,206,200,194,192,210,207,214,196,208,205,208,211,220,214,209,222,223,222,209,209,209,228,226,229,219,233,220,230,228,234,239,240,223,240,237,225,236,230,236,231,248,237,240,243,241,234,250,251,247,258,246,252,260,259,245,262,255,247,247,250,264,263,260,267,273,258,269,272,260,263,271,262,273,276,278,267,271,278,283,268,277,287,276,285,275,274,279,286,281,293,286,284,293,290,296,290,295,303,291,305,299,297,306,312,300,297,311,299,297,307,301,302,318,302,303,313,311,320,323,324,324,313,329,315,317,314,323,328,319,335,338,323,334,325,339,342,338,342,330,331,330,331,346,332,350,340,355,338,348,340,341,355,347,349,345,344,361,364,363,353,361,364,356,365,369,362,365,376,363,367,362,369,375,364,380,368,375,382,379,385,384,375,379,376,378,384,377,387,387,387,386,394,396,392,397,387,396,388,404,403,409,409,407,403,403,404,413,403,413,410,402,412,403,404,406,417,417,417,417,420,416,415,411,415,420,421,426,420,434,438,432,427,431,431,427,428,443,431,428,445,440,441,438,444,433,447,439,455,451,444,443,445,442,449,462,455,451,459,467,457,459,451,466,453,470,464,472,456,476,460,468,465,466,482,479,479,485,475,478,476,479,477,476,480,488,483,485,489,484,479,490,490,499,490,494,504,493,501,487,493,505,491,498,505,511,514,504,501,510,506,511,508,521,507,513,514,508,510,512,517,529,524,512,525,521,516,532,530,531,529,528,539,521,541,537,525,535,544,547,537,543,532,540,543,550,546,551,546,538,558,545,541,560,552,560,556,551,566,565,557,562,555,568,560,560,564,560,558,575,570,579,579,580,569,583,572,572,573,579,587,586,587,591,588,576,578,579,576,581,581,588,597,597,583,591,602,591,592,593,608,601,597,606,596,597,610,600,614,612,609,604,615,613,605,609,613,617,618,610,610,615,614,625,614,619,633,634,618,623,634,623,628,636,634,635,633,634,629,642,638,649,645,641,632,642,650,640,636,654,658,655,657,661,648,652,657,661,651,661,657,659,651,663,652,661,671,665,673,661,660,676,666,669,681,671,664,677,666,686,675,670,688,690,678,685,678,677,694,680,697,679,697,691,688,702,695,691,706,693,694,689,701,710,700,706,705,707,699,714,712,700,706,708,719,707,722,719,707,708,718,727,712,725,713,724,727,725,729,726,731,735,737,723,734,738,738,732,731,735,728,740,736,738,747,742,751,740,736,749,753,747,741,745,761,752,749,763,746,748,766,755,770,767,770,765,766,763,774,771,772,766,780,770,764,783,769,770,783,771,784,789,772,782,782,789,784,780,782,789,786,779,780,786,782,791,798,786,797,797,799,799,801,810,800,813,810,798,809,817,803,801,811,814,804,810,813,810,825,822,809,810,815,823,813,815,823,830,820,833,831,821,833,822,840,834,834,843,834,833,842,838,847,844,834,839,854,841,848,844,844,846,848,855,845,856,845,846,846,853,850,855,852,865,860,863,864,870,871,866,874,864,879,868,871,874,867,877,886,867,887,886,890,877,878,882,878,880,892,887,879,897,887,900,898,889,888,904,895,901,890,894,905,895,908,909,899,903,906,898,902,915,913,914,905,914,908,919,920,925,914,928,916,928,919,931,928,931,931,937,936,938,935,939,936,938,930,931,945,927,948,936,950,947,948,949,937,949,953,953,950,947,940,943,961,962,944,958,947,957,952,957,956,967,971,971,964,963,969,972,970,978,965,968,964,976,964,973,966,981,981,971,986,987,983,985,986,992,980,984,979,992}

{18,23,37,38,44,59,67,68,81,86}

Returns: "Possible"
{0,1,0,0,0,2,1,6,0,3,10,9,7,8,14,0,9,12,2,4,19,15,22,18,7,20,10,20,25,17,18,24,29,25,22,35,28,26,30,24,24,34,41,38,41,30,46,46,43,41,50,36,41,39,37,38,44,56,42,46,56,49,47,57,50,49,60,59,68,63,67,56,65,59,67,66,76,67,76,65,70,76,73,81,67,75,71,84,77,75,76,78,86,87,85,93,88,88,82,85,86,94,93,96,94,100,99,95,94,99,99,104,112,97,101,98,101,113,114,115,106,118,109,119,121,123,118,118,118,118,127,124,125,118,127,129,136,137,121,137,128,140,126,140,142,137,141,132,133,137,148,151,145,148,137,141,155,143,141,156,147,145,147,155,155,162,164,161,167,161,168,163,163,173,160,165,174,168,164,166,173,166,165,172,180,182,175,170,175,183,175,175,184,192,179,178,182,194,195,191,198,192,196,201,202,205,203,207,194,208,193,202,199,211,209,214,208,212,216,214,210,208,217,220,218,218,217,218,225,218,225,215,232,222,220,228,234,229,225,238,233,225,235,242,233,228,229,238,241,235,248,243,242,248,240,251,253,249,256,242,253,261,252,248,252,256,263,255,265,261,261,259,265,263,271,264,266,272,277,263,272,264,269,275,274,269,278,271,279,285,288,280,280,277,289,294,284,286,284,284,286,297,296,287,296,297,291,306,292,298,308,302,300,297,300,300,307,306,318,306,313,318,314,313,309,323,312,319,325,319,313,323,321,333,331,325,320,329,321,330,340,338,341,330,330,333,343,346,342,346,339,345,335,352,352,345,339,352,348,349,350,350,355,362,361,350,366,361,358,356,364,369,357,358,357,361,371,372,368,379,371,365,368,381,367,381,385,381,376,386,383,386,383,384,393,386,390,391,386,395,390,385,392,387,391,394,406,396,408,400,397,407,408,400,409,401,407,414,411,408,420,414,406,417,416,423,416,418,425,426,428,419,425,424,426,423,430,428,422,434,426,433,435,428,444,440,435,439,434,438,445,445,438,444,443,453,443,446,446,456,445,448,445,447,451,450,466,459,460,469,460,458,464,468,463,466,464,468,476,476,465,474,471,480,473,477,483,486,474,480,476,488,479,492,490,493,481,494,492,499,488,496,497,498,497,501,498,506,500,504,505,508,503,504,511,513,514,506,503,504,514,519,509,508,522,514,524,519,520,514,530,531,526,532,526,524,530,526,532,525,540,531,539,535,538,536,532,545,547,537,544,535,543,548,554,542,552,555,546,555,556,555,562,558,555,552,555,565,560,559,557,560,557,559,557,563,572,563,562,573,576,572,573,569,576,569,571,586,577,582,586,590,584,576,588,589,596,593,586,590,591,585,597,595,598,594,597,604,602,593,603,598,604,608,608,613,603,609,601,614,617,617,609,621,624,622,622,615,627,614,622,614,615,622,621,634,626,620,628,633,639,628,629,633,631,645,644,631,635,641,633,644,642,645,650,647,652,656,655,649,654,657,652,661,648,662,662,652,652,656,667,659,668,658,663,664,659,677,670,666,665,672,668,670,669,677,676,675,685,686,684,680,690,690,692,695,682,685,690,688,686,686,701,701,701,694,702,693,697,694,697,701,700,711,713,701,711,713,717,714,710,705,706,720,708,721,720,718,716,727,722,729,728,727,728,727,724,732,729,735,734,731,730,740,732,732,744,740,731,734,742,736,741,750,739,751,745,746,758,752,755,746,755,756,764,753,763,758,759,765,768,766,767,770,768,773,763,773,778,776,779,781,767,777,774,774,770,782,780,789,787,786,789,791,792,787,790,797,795,795,791,799,789,796,798,795,802,793,807,796,801,794,805,802,799,801,803,809,815,810,818,819,808,819,817,816,824,814,823,813,828,828,832,826,831,835,825,826,824,828,836,841,833,826,838,844,845,836,842,838,850,850,849,843,844,845,853,851,841,847,843,857,857,862,852,861,859,854,864,856,855,854,867,860,863,872,860,877,872,877,872,867,873,878,875,881,869,886,872,881,890,884,886,888,893,879,895,885,894,893,900,895,885,902,901,892,905,902,897,893,896,906,896,907,902,910,900,907,913,911,917,918,907,908,915,925,921,919,927,928,919,922,932,925,922,935,933,920,923,923,939,938,937,930,936,932,931,940,939,943,947,947,936,941,952,949,942,957,955,958,951,947,955,955,949,960,955,950,961,959,953,957,971,972,974,969,975,964,972,965,974,973,979,977,974,973,977,971,979,985,975,984,983,985,980,987,992,986,992,988}

{15,18,22,26,29,36,41,50,58,77}

Returns: "Possible"
{0,1,1,0,1,0,5,3,1,1,10,11,6,2,4,9,6,11,14,13,18,8,14,22,13,21,16,15,24,25,30,21,20,26,27,32,29,25,37,35,34,40,31,33,44,42,44,42,35,47,41,50,48,49,45,46,50,51,54,51,49,53,57,58,63,53,56,65,62,68,64,62,70,65,68,64,63,67,77,77,69,80,78,72,75,82,74,78,87,82,89,87,79,90,84,92,87,94,89,92,99,91,97,98,94,102,101,95,100,99,109,103,101,107,113,110,104,112,116,111,108,114,116,122,121,116,118,124,115,124,120,121,120,128,122,126,136,136,136,126,140,141,129,141,140,141,133,143,147,140,146,141,139,140,147,148,155,150,151,148,158,151,158,158,156,161,157,159,160,167,168,160,163,170,162,175,163,173,172,172,178,175,182,180,180,172,180,183,175,185,178,179,189,188,188,192,196,190,187,186,195,193,200,200,204,205,195,205,196,207,202,210,209,207,202,205,216,209,208,206,214,213,218,223,214,215,215,218,215,224,224,226,224,221,231,225,226,227,236,228,237,235,234,240,243,244,233,234,243,244,238,239,246,250,242,249,252,250,249,249,251,258,259,259,261,259,263,266,264,259,268,260,260,270,271,262,268,272,277,273,267,275,279,280,280,281,285,279,285,281,289,281,291,281,293,290,294,290,290,291,295,294,295,302,298,297,303,297,305,299,306,298,311,302,313,304,307,315,313,313,312,315,313,313,312,322,317,326,324,328,323,323,328,323,328,323,326,333,327,333,328,340,333,340,333,333,345,345,342,340,338,348,349,347,343,352,352,356,345,346,350,356,352,363,361,364,361,362,355,369,369,370,362,361,363,365,368,372,371,375,375,372,376,380,384,376,381,385,384,389,380,383,383,390,384,387,389,385,397,386,388,400,401,398,400,394,396,398,400,399,397,410,412,413,414,402,407,412,416,415,419,411,419,417,421,418,417,416,420,420,426,422,422,429,426,432,426,424,429,438,434,436,441,439,443,434,440,441,446,445,444,448,451,447,449,447,445,451,455,459,459,457,451,450,451,459,458,459,465,456,461,466,470,466,469,465,463,469,472,470,467,480,473,471,476,472,481,475,481,482,483,488,481,490,482,487,494,493,490,487,497,499,489,493,496,493,496,507,500,499,500,507,502,502,507,505,512,512,507,507,520,515,521,522,515,518,524,520,520,518,521,519,522,532,529,525,528,531,531,534,539,539,541,541,536,536,542,537,547,548,544,544,548,546,542,549,548,547,549,547,548,552,553,559,559,559,560,554,558,559,562,558,568,561,562,570,566,576,570,569,567,575,577,570,584,575,573,583,586,582,586,583,590,589,592,591,587,584,590,586,593,596,592,596,595,597,606,600,602,609,600,604,609,611,605,613,614,610,605,607,614,608,611,610,620,617,617,623,616,626,618,626,629,631,625,624,631,635,636,632,638,641,641,642,644,638,646,638,636,640,643,646,640,640,650,643,643,647,653,654,654,658,652,656,664,656,663,662,657,668,667,669,669,661,673,673,669,671,678,672,677,672,669,673,679,680,676,674,683,678,688,684,687,686,690,688,696,695,690,687,699,700,691,703,697,693,701,705,697,709,707,698,712,705,701,704,703,707,718,711,720,711,710,723,716,719,719,716,728,721,724,725,722,732,733,731,725,735,730,736,732,734,730,730,735,744,736,746,737,745,749,744,743,740,742,754,751,756,757,753,759,760,752,752,753,762,758,766,760,769,765,767,763,767,769,770,773,771,771,778,772,771,769,782,773,785,774,776,775,785,788,783,779,780,786,786,786,796,797,791,791,801,796,803,801,792,793,796,801,805,801,808,805,813,806,806,815,817,809,818,809,816,820,822,815,823,813,825,817,825,830,822,827,820,829,826,836,826,833,836,839,833,839,837,831,833,834,844,838,849,844,846,852,846,848,843,849,852,846,859,853,856,862,863,856,862,855,863,859,864,868,868,868,868,866,874,876,875,878,870,879,871,878,880,879,877,876,874,883,880,884,881,890,885,892,890,893,891,888,891,887,889,902,890,899,904,897,898,908,906,908,911,912,913,914,905,903,906,906,912,918,912,916,912,918,921,918,921,923,925,923,923,931,926,924,925,930,924,929,928,934,931,941,939,940,940,939,936,939,946,948,939,951,944,941,943,946,945,949,949,953,955,952,961,963,957,962,963,963,966,968,959,969,969,964,962,971,971,969,968,975,978,981,981,974,973,981,975,982,976,987,988,979,981,982,985,993,986,985,986}

{6,9,10,24,53,66,75,77,92,100}

Returns: "Possible"
{0,0,1,0,4,3,6,7,5,8,3,6,12,0,14,6,15,10,2,8,10,6,2,19,22,6,5,1,23,7,8,23,20,8,20,9,30,12,13,15,15,16,26,23,26,39,45,40,46,23,22,44,46,52,44,32,52,42,47,33,39,43,54,57,43,39,66,55,66,55,67,55,58,68,62,51,75,65,71,56,63,61,73,74,73,64,63,83,67,78,62,90,82,67,81,80,84,77,94,88,95,101,88,81,81,97,101,93,105,107,104,93,87,93,98,110,104,99,110,97,119,98,104,122,100,109,102,118,116,113,109,118,105,119,124,129,132,115,125,111,120,135,114,130,123,145,136,144,135,149,130,134,135,148,128,155,137,156,154,153,154,136,162,141,148,149,161,156,160,166,165,155,167,162,159,153,148,164,168,160,169,168,173,182,170,174,166,186,177,177,189,186,187,190,191,168,174,179,170,180,173,198,200,195,181,197,195,205,204,196,203,197,199,187,200,207,198,208,202,210,216,220,200,219,224,199,199,199,219,207,204,216,212,211,206,234,227,221,230,217,236,230,214,233,216,236,246,227,232,243,246,244,233,253,238,252,244,229,242,231,253,250,237,258,262,258,257,257,257,246,244,251,259,255,250,269,251,264,263,269,275,274,263,270,260,283,277,281,276,261,288,288,271,287,269,285,283,279,272,291,282,300,274,282,298,293,286,287,287,306,288,304,294,298,310,287,311,307,313,315,311,294,312,306,314,301,317,313,319,328,319,330,304,311,329,329,330,314,329,312,323,341,327,319,344,333,331,343,326,325,338,325,337,351,344,334,353,337,353,332,350,359,339,340,358,360,353,358,365,345,362,353,359,345,348,367,361,354,358,359,352,371,378,363,358,375,373,361,381,385,384,372,390,382,391,393,389,390,375,390,378,401,391,398,382,378,392,392,408,383,391,397,396,400,390,400,410,409,399,412,404,398,399,418,416,404,407,414,411,411,429,415,427,415,421,410,408,418,415,433,424,433,436,432,438,434,431,435,446,424,435,443,443,428,429,447,447,433,434,452,444,437,450,456,459,437,458,465,467,463,446,454,453,456,454,450,449,477,460,461,463,475,473,460,464,475,470,478,468,472,470,468,466,468,467,480,485,496,495,499,478,477,489,495,503,505,493,490,484,503,494,497,486,497,503,504,516,510,507,498,520,503,495,513,497,502,505,523,525,505,502,503,514,510,518,518,531,532,529,516,516,527,517,526,525,529,522,528,542,546,523,547,537,533,536,533,537,546,533,546,545,550,548,550,546,561,539,554,552,550,566,548,545,554,561,575,556,561,567,561,560,564,570,559,584,571,559,562,566,568,572,573,571,583,579,582,596,577,590,592,583,579,589,582,582,578,590,599,585,604,602,597,593,596,611,601,594,603,593,619,615,603,616,596,596,623,625,621,608,618,602,627,628,619,622,635,608,615,634,615,639,614,637,633,638,618,637,639,622,644,642,637,652,653,654,645,649,638,649,650,636,634,639,657,660,644,654,660,652,641,643,653,664,661,646,650,660,668,674,678,652,671,682,660,669,667,682,678,681,678,675,677,671,685,669,668,687,678,680,698,695,673,701,696,679,688,685,687,685,708,706,698,704,691,688,699,700,709,690,695,692,714,701,713,702,698,714,710,728,723,705,727,708,718,723,714,729,713,729,732,731,719,739,722,738,740,730,744,746,724,742,727,748,730,728,730,737,743,731,751,749,756,739,752,742,754,746,765,747,764,758,743,749,747,747,758,762,773,750,769,778,773,776,773,774,768,764,783,767,779,787,766,776,793,786,768,787,780,792,793,772,777,792,801,788,777,798,801,793,797,808,799,809,787,802,799,797,811,791,813,795,795,807,809,801,823,817,822,814,808,820,824,828,832,834,829,817,814,825,826,816,825,828,816,823,820,825,842,827,846,825,830,835,837,853,835,834,851,832,854,842,844,840,840,850,837,848,843,855,844,870,868,854,850,859,848,848,853,871,878,878,864,864,876,860,865,861,874,887,888,875,877,884,875,876,869,870,875,870,880,875,896,875,898,878,903,883,896,901,893,907,891,887,900,894,910,912,916,916,916,915,896,901,912,924,925,900,911,928,916,907,927,904,923,932,933,920,935,926,920,920,931,933,925,944,943,931,934,920,925,925,949,944,949,937,955,955,954,937,933,946,952,961,958,944,945,964,942,943,944,965,968,968,952,968,965,950,967,952,957,967,957,976,966,963,977,976,970,978,983,984,971,971,987,980,979,982,972,984,987}

{11,20,24,31,32,38,39,46,79,90}

Returns: "Possible"
{0,1,0,2,0,4,0,3,5,4,9,8,8,6,1,13,1,3,3,8,19,8,4,6,14,6,4,14,14,12,21,25,27,32,24,14,32,33,35,24,26,23,33,26,41,41,28,28,40,45,44,48,41,48,31,37,42,52,34,58,47,44,42,53,50,56,55,58,51,68,47,51,55,67,67,58,63,74,58,57,63,59,70,82,63,61,74,82,78,68,76,75,72,81,87,75,85,93,86,83,94,88,95,84,93,94,104,101,106,103,91,97,110,100,114,110,92,93,118,114,117,115,98,121,104,104,122,126,117,108,119,109,111,126,122,120,134,126,120,138,122,125,134,125,144,124,128,140,138,138,126,131,130,129,131,152,141,135,134,143,146,138,158,157,141,150,153,150,144,163,160,158,156,153,164,158,155,168,156,162,167,177,177,174,182,168,165,181,172,172,166,167,177,172,170,186,193,190,194,193,180,200,185,192,198,181,206,199,200,201,207,194,193,213,210,213,199,210,213,219,217,204,202,206,214,207,211,213,209,217,218,222,212,229,212,221,219,237,225,234,236,237,231,241,227,226,227,235,246,236,229,240,239,236,234,249,256,254,235,243,237,253,257,262,241,251,247,244,247,269,257,247,271,251,274,267,274,260,256,270,277,269,282,271,276,277,263,287,275,273,268,288,276,292,291,277,284,279,293,280,276,291,293,292,290,303,291,304,295,307,301,300,305,310,301,308,294,316,304,315,311,307,300,314,310,315,314,317,308,316,311,321,321,313,331,332,332,315,338,326,323,341,341,319,339,325,341,331,347,344,334,341,345,340,346,339,335,353,343,344,348,361,339,361,340,356,345,363,364,350,356,371,368,373,369,358,352,362,375,378,367,377,372,359,380,374,371,363,366,384,378,381,376,381,379,377,394,378,397,390,379,379,385,390,396,385,383,391,399,393,394,390,406,391,392,401,413,398,404,419,400,412,401,420,412,425,417,418,428,420,423,409,430,432,425,428,428,430,427,439,417,431,424,433,422,432,439,443,435,446,448,437,429,445,436,443,440,447,436,452,447,438,453,458,451,463,458,459,465,451,460,448,469,458,453,451,455,461,462,460,458,465,473,459,479,465,478,479,468,489,480,483,473,479,474,475,491,493,478,489,491,481,489,479,491,483,485,485,504,508,503,511,509,504,491,509,511,512,518,499,507,516,515,502,524,506,515,509,519,515,515,531,514,511,510,526,519,520,522,537,521,522,518,524,534,532,539,539,546,547,544,541,543,537,548,543,540,536,538,549,541,561,551,558,557,556,562,564,553,556,565,552,556,571,562,562,564,554,575,577,569,573,580,562,564,569,566,566,565,570,573,570,571,579,576,579,585,584,588,588,600,580,594,595,595,586,606,587,589,589,597,599,605,611,607,598,603,595,594,609,602,617,619,618,620,605,626,615,622,607,608,614,619,613,612,634,626,623,616,628,637,620,629,623,623,630,628,625,637,637,647,649,639,643,630,637,636,644,643,648,639,656,659,663,643,662,645,667,662,653,659,651,670,668,650,656,663,666,668,678,667,658,681,673,684,683,677,683,674,667,689,677,691,680,683,684,689,688,688,689,700,680,693,679,686,690,682,703,695,708,698,711,700,690,707,713,702,703,701,707,712,720,711,705,715,706,711,709,728,716,722,707,708,731,718,712,735,714,725,719,734,724,726,729,723,742,729,733,744,746,729,746,738,740,749,743,736,752,752,751,755,752,748,763,748,751,766,748,761,754,767,761,768,758,762,751,771,777,776,773,756,777,780,761,766,784,771,786,770,774,766,789,788,777,775,779,792,783,790,799,780,779,799,794,793,800,782,786,794,786,810,801,798,804,799,811,797,813,813,799,801,819,817,816,801,813,803,809,823,809,823,814,811,822,814,823,833,827,827,838,817,831,840,824,841,844,829,847,839,838,838,843,848,830,848,840,849,857,851,840,856,848,847,857,846,859,849,857,845,865,860,847,860,849,857,875,854,861,873,877,859,863,867,859,863,873,877,884,868,884,884,880,882,874,893,887,889,897,883,883,879,894,881,889,894,884,904,898,901,908,894,906,900,909,901,893,892,894,900,898,915,903,903,906,911,903,907,916,925,905,914,927,923,917,912,930,925,934,936,921,940,932,919,935,939,945,939,941,929,930,926,939,951,936,943,942,944,945,936,936,938,944,958,960,964,944,945,952,945,951,960,959,959,967,959,970,965,974,965,977,976,958,971,967,961,980,981,981,969,969,973,970,969,980,973,978,975,974,978,976}

{19,29,52,66,68,71,86,88,94,99}

Returns: "Possible"
{0,1,2,1,2,1,2,4,0,5,8,9,3,9,4,10,1,15,17,0,1,19,7,6,2,3,18,24,1,1,23,5,3,13,33,24,26,23,17,24,35,23,28,20,20,30,34,36,14,35,35,39,36,23,50,26,55,43,50,56,47,33,30,33,58,62,53,50,64,63,62,62,70,62,71,61,70,45,61,72,67,69,54,54,65,68,68,85,78,78,69,69,80,65,80,91,77,88,83,83,90,96,72,96,91,85,96,87,99,83,83,83,106,88,105,105,95,105,118,113,95,87,92,116,104,101,100,121,99,115,129,97,109,130,107,111,134,128,119,135,119,132,115,120,125,111,145,115,140,115,118,136,152,135,130,125,138,128,123,133,136,139,141,137,136,147,144,155,140,145,144,164,149,155,159,143,148,143,178,165,165,162,158,170,154,165,173,161,165,171,169,187,187,182,163,164,177,183,188,174,198,173,191,182,180,200,195,175,179,202,192,188,203,207,210,214,189,192,208,214,213,213,187,197,224,194,204,223,193,196,219,228,221,228,232,203,232,213,217,237,224,225,215,219,230,234,239,246,238,243,242,246,233,250,248,251,234,247,231,234,232,233,238,247,253,245,245,264,247,250,235,263,237,246,248,263,258,263,253,262,273,276,268,258,268,255,283,255,272,257,273,287,269,264,283,263,270,283,280,291,268,299,302,298,296,298,301,286,283,281,285,282,288,285,304,287,294,289,283,317,310,294,317,304,312,290,315,314,302,322,307,310,319,300,309,323,318,333,309,324,334,319,319,318,327,319,322,313,336,323,316,350,332,333,341,324,321,338,334,358,353,351,328,340,331,359,332,340,353,339,353,354,340,347,365,341,363,374,365,355,373,350,367,368,381,374,357,356,373,374,361,371,365,392,368,362,395,368,381,366,391,376,370,377,382,380,391,380,394,408,381,384,400,393,407,408,415,402,385,410,412,390,419,388,422,408,419,415,398,426,417,418,417,408,403,403,412,437,422,410,414,431,427,442,417,438,441,431,424,423,427,450,425,420,452,439,422,428,428,432,451,455,433,454,460,448,446,457,456,454,465,445,448,456,467,469,444,466,476,474,469,478,464,473,468,454,461,487,469,457,478,457,474,463,459,475,465,479,488,487,486,495,481,481,481,485,473,478,482,485,485,509,477,495,479,494,516,484,511,500,496,490,508,515,495,511,491,506,509,518,511,523,498,525,504,535,531,532,511,516,535,523,533,532,536,542,543,532,519,517,535,546,524,539,541,531,530,537,541,551,545,556,541,544,552,534,563,542,537,545,567,560,546,565,550,567,571,543,554,544,553,547,563,575,572,571,582,552,573,573,559,573,567,562,583,575,593,588,563,580,583,571,587,570,598,586,575,594,580,593,576,604,611,579,614,585,591,613,604,584,589,608,601,614,622,607,601,606,615,599,628,608,602,598,614,610,623,617,604,607,617,621,619,641,636,643,640,634,638,643,642,629,645,639,641,630,623,642,638,655,655,651,633,659,655,656,652,657,635,643,648,668,649,667,671,671,643,657,653,661,665,646,658,678,668,657,676,675,687,680,675,684,673,669,669,663,661,680,679,669,670,693,681,699,684,696,672,699,694,689,697,689,710,683,684,695,681,712,685,709,693,697,714,688,713,694,712,699,723,727,702,710,708,707,731,717,725,716,726,732,721,727,708,708,725,716,721,743,741,721,739,746,725,744,751,739,748,749,724,740,751,752,756,759,741,761,758,732,766,742,750,767,748,746,760,742,743,757,756,771,755,759,763,783,774,764,756,780,786,781,788,773,789,790,759,761,777,790,783,791,798,793,782,774,801,773,798,790,799,802,799,788,798,786,804,793,809,803,816,798,811,797,817,801,811,803,806,809,802,828,800,818,807,814,826,829,802,826,820,823,838,816,817,823,812,839,812,842,836,838,816,820,841,821,830,855,841,835,840,845,831,839,857,835,852,844,841,847,848,840,838,856,850,848,842,873,866,865,850,846,858,863,851,869,881,850,865,886,884,889,888,876,857,872,892,894,894,867,876,871,884,897,877,901,904,898,871,893,890,893,895,894,912,905,883,895,885,889,884,915,915,898,905,923,899,900,924,895,917,898,928,904,918,902,905,912,914,914,928,914,936,917,918,931,943,933,933,918,930,944,944,934,939,943,924,938,939,927,951,927,938,934,938,958,961,951,958,958,934,965,960,965,942,940,972,956,974,950,975,954,966,977,948,978,978,962,982,984,964,987,982,960,980,990,985,960,978,974,982,994}

{11,32,39,53,55,64,66,71,77,98}

Returns: "Possible"
{0,1,2,0,4,5,5,5,0,0,4,11,4,12,14,10,7,14,4,7,20,9,7,23,11,16,16,21,16,29,20,16,23,18,19,28,36,37,24,32,28,34,27,33,29,31,42,34,34,37,35,48,46,45,43,39,53,50,42,49,53,59,59,53,58,65,59,53,60,56,60,61,61,63,65,69,60,76,63,73,73,81,68,79,70,81,71,78,75,74,89,90,79,80,92,88,96,92,95,90,98,98,102,99,95,95,90,105,104,94,98,103,100,111,98,105,110,112,106,111,117,120,112,114,108,116,117,119,127,119,123,130,126,127,118,132,133,125,132,123,136,140,137,128,142,142,144,145,142,138,149,135,138,152,143,153,154,156,153,155,150,161,148,150,148,150,166,152,152,154,163,155,162,161,174,169,172,173,165,164,179,173,167,177,173,184,182,183,185,185,186,184,185,179,191,190,182,186,190,192,184,188,189,197,201,189,200,201,193,198,195,211,201,209,212,204,208,203,207,218,204,208,220,216,223,223,226,218,215,220,225,224,229,230,220,219,231,235,228,233,231,236,229,240,233,241,230,246,234,245,243,246,236,238,243,253,254,248,252,246,247,252,259,248,250,265,252,263,255,267,264,255,259,258,261,273,274,267,266,274,270,268,274,276,271,270,271,274,283,274,287,278,279,285,280,281,292,285,294,293,288,298,294,298,298,291,294,303,298,302,306,301,309,313,309,311,303,317,312,317,314,308,312,321,315,319,321,327,312,316,317,324,331,319,331,327,322,329,331,338,329,330,341,343,339,332,342,341,345,340,349,349,349,340,352,348,349,344,355,353,353,347,352,360,348,351,356,361,352,363,357,362,361,364,366,363,372,377,364,374,372,366,368,379,384,382,382,371,383,377,384,387,383,381,390,384,391,385,395,397,400,386,388,394,403,392,394,402,395,397,399,399,403,402,404,407,411,405,416,404,407,408,422,416,420,419,412,426,420,422,422,416,421,427,434,419,425,433,436,428,436,436,442,434,435,441,446,437,448,445,435,437,437,440,441,446,452,449,447,445,458,451,454,448,449,458,453,456,452,466,469,463,462,460,471,461,463,476,475,476,467,470,479,472,484,471,475,484,477,480,487,491,483,491,494,490,483,495,486,493,495,499,495,487,498,499,506,506,496,509,500,500,497,508,513,509,507,510,504,505,504,520,510,513,514,522,517,515,524,514,524,517,525,517,522,519,529,533,536,539,527,531,533,533,528,529,538,544,538,543,537,539,547,537,551,546,553,557,549,557,556,545,550,550,557,550,559,551,566,569,556,560,571,570,565,566,563,566,563,566,579,576,570,569,576,576,576,572,578,585,588,583,578,590,581,593,596,597,595,594,593,600,586,600,598,593,600,596,605,607,602,597,602,609,607,612,607,601,616,606,616,620,610,621,611,609,621,623,621,628,619,626,627,630,620,627,630,622,632,629,635,634,627,632,641,632,641,636,647,648,644,637,652,646,647,655,656,656,656,654,653,659,648,654,654,658,663,656,660,665,667,662,660,670,662,660,667,662,670,664,672,673,668,682,669,675,673,675,681,683,681,691,681,690,681,693,685,686,696,695,697,695,701,699,703,696,700,697,702,707,707,698,700,708,708,703,705,708,707,709,718,705,719,722,715,718,720,724,725,724,718,715,730,723,720,724,720,728,733,737,739,734,739,729,735,744,730,741,734,743,742,745,738,751,740,750,755,745,758,751,746,753,762,748,757,754,760,766,761,761,757,762,759,769,762,760,761,773,764,776,773,771,769,777,779,785,778,782,785,779,775,775,791,781,784,786,780,781,793,785,789,793,789,803,791,799,799,797,808,807,802,803,810,809,806,810,800,811,816,803,819,819,821,814,815,821,824,821,820,823,816,830,830,830,818,834,825,828,825,839,829,837,838,835,838,832,841,840,836,847,836,840,838,837,842,854,843,847,843,854,855,861,847,848,849,849,862,857,854,866,858,867,858,868,866,875,865,869,862,867,865,878,869,868,875,880,870,880,888,887,884,881,887,889,878,894,890,881,884,892,888,885,886,898,900,898,893,907,906,905,899,895,906,911,914,900,903,911,916,916,905,919,916,916,923,915,922,918,922,923,924,927,916,932,931,919,934,924,925,935,926,926,937,933,928,938,933,947,940,934,940,947,937,945,938,943,941,950,950,955,947,945,947,950,950,961,951,959,955,958,956,958,972,960,971,969,964,968,967,976,975,976,972,977,970,985,980,980,985,988,979,976,976,979,982,988,992,983,992,987}

{9,10,20,22,31,48,61,64,74,76}

Returns: "Possible"
{0,0,1,1,4,1,3,7,0,5,1,4,12,10,12,5,1,4,7,3,13,11,20,9,13,7,13,24,15,8,20,21,20,14,21,20,32,33,28,22,31,28,35,42,42,37,34,41,27,39,27,38,33,42,40,50,40,50,48,50,50,59,47,49,52,51,43,48,47,46,69,49,52,70,68,72,62,63,74,57,62,63,70,83,61,85,68,78,77,78,84,88,82,83,81,90,85,88,97,84,77,86,98,96,99,97,94,104,99,91,104,105,91,103,107,112,95,94,107,100,98,117,121,113,114,104,116,123,127,107,122,123,109,131,133,128,121,137,128,119,117,136,129,122,136,129,145,147,126,133,133,140,133,153,144,139,142,140,140,141,152,146,145,147,143,151,146,144,161,168,149,171,159,151,157,152,153,169,171,167,173,162,160,183,173,179,180,169,180,186,175,183,187,184,180,172,173,181,190,185,179,179,198,188,199,201,188,201,196,189,209,204,205,213,200,198,195,199,213,212,202,213,206,219,212,216,217,215,217,216,221,210,214,226,223,227,215,231,223,237,237,239,235,238,225,232,223,244,235,232,247,231,242,246,235,247,256,248,246,253,258,242,260,247,264,251,246,250,255,249,250,258,258,252,259,258,256,268,263,267,257,278,278,271,277,283,265,284,285,281,276,288,271,292,294,277,276,293,291,293,277,278,289,301,287,297,306,302,303,294,298,305,304,300,295,292,300,309,297,303,306,304,301,303,324,320,312,317,310,325,311,322,327,310,326,332,331,320,320,320,324,332,342,328,340,333,332,345,331,339,347,336,352,348,349,346,356,334,341,358,353,357,351,363,355,361,361,354,346,369,350,352,369,355,361,368,375,356,373,372,366,370,364,383,367,363,371,384,380,389,374,377,379,386,376,389,393,397,376,382,394,400,390,381,388,388,390,385,405,403,402,403,410,405,399,412,395,417,403,407,420,411,404,420,404,409,408,405,413,409,428,429,415,424,423,427,431,437,424,421,440,439,434,420,444,445,437,443,430,426,449,429,438,450,443,433,443,440,441,459,457,460,461,454,460,447,450,447,457,455,461,448,456,456,471,456,468,456,472,456,457,465,464,470,466,480,465,467,484,466,473,469,484,474,483,475,483,479,482,489,481,478,481,491,491,499,485,489,489,502,503,510,502,493,509,509,496,515,511,500,503,512,514,509,512,505,505,527,514,523,520,530,518,512,514,522,521,529,536,528,520,538,537,531,544,539,545,541,544,544,538,537,539,553,553,540,550,555,539,551,559,545,540,551,548,559,562,565,567,565,554,557,559,556,557,572,574,555,567,557,577,563,574,567,576,569,583,573,588,576,573,575,569,580,583,588,577,591,584,587,599,601,594,583,599,582,590,605,597,604,590,599,600,607,602,605,610,614,601,608,599,608,615,617,616,606,620,619,617,622,611,616,631,611,631,627,636,620,634,634,628,629,626,623,626,638,631,632,625,649,639,631,638,637,649,633,653,638,652,653,644,654,658,641,644,655,662,661,645,648,662,671,664,666,671,661,665,676,655,658,665,660,680,663,675,670,684,687,665,681,688,683,679,681,689,674,695,674,686,688,689,680,680,689,687,704,687,690,686,686,702,688,707,705,703,697,701,696,712,704,703,699,717,705,708,715,709,721,718,718,730,731,731,730,734,730,724,721,733,724,731,729,723,733,743,723,742,724,741,735,750,731,744,744,749,740,748,755,754,750,758,741,749,742,764,750,762,751,764,760,768,763,759,770,760,763,756,772,765,759,773,769,761,762,779,779,765,771,781,770,771,790,775,784,792,773,782,791,784,798,778,788,794,796,803,786,805,795,792,792,802,810,792,793,793,800,797,809,817,813,817,819,805,804,801,817,815,817,817,816,820,818,819,815,832,832,816,828,826,839,840,826,821,831,828,834,846,842,847,847,830,839,842,841,833,852,852,848,842,852,842,855,852,858,846,848,847,859,857,853,865,861,850,855,859,868,854,856,866,872,858,859,873,867,874,866,880,871,879,883,879,872,888,891,893,873,892,875,882,887,879,893,893,898,904,883,900,900,906,904,906,895,898,902,912,899,904,910,912,898,897,907,910,920,905,925,905,925,913,906,911,912,928,930,923,918,931,927,937,934,918,934,936,936,922,941,934,947,945,928,947,934,929,950,933,945,954,940,938,949,950,954,946,956,957,954,957,948,963,969,958,960,956,951,964,975,955,967,965,973,967,961,967,974,978,972,973,980,979,977,984,979,976,978,979,979,984,982,984,979}

{5,9,24,30,41,49,57,82,95,97}

Returns: "Possible"
{0,1,0,1,0,2,3,2,7,7,9,7,9,1,8,9,0,14,12,7,6,20,19,14,19,11,24,25,10,21,23,29,25,28,33,31,27,20,36,31,29,38,40,41,33,30,42,30,37,40,40,43,48,44,36,44,42,42,55,52,53,45,55,60,55,48,51,67,60,52,58,56,67,61,56,58,75,70,76,61,78,78,74,65,71,80,74,76,80,72,72,86,75,85,86,91,94,91,98,86,88,84,99,94,94,95,105,98,95,102,100,96,96,98,102,110,100,114,118,111,107,103,120,108,113,110,108,122,120,117,121,119,115,120,123,123,124,135,137,125,138,133,136,130,143,128,140,145,134,139,142,145,135,144,145,137,146,153,158,152,156,147,160,162,159,151,161,150,165,161,161,157,156,162,159,163,174,161,168,171,165,178,170,169,166,170,171,185,170,178,174,187,189,178,176,189,182,179,180,192,194,197,195,185,187,201,191,194,195,199,195,202,200,208,200,200,201,210,205,216,206,214,217,212,218,219,213,224,227,216,220,219,225,231,220,235,235,224,222,229,239,235,240,231,243,242,239,246,243,239,250,237,252,235,252,242,255,255,249,249,247,244,261,250,249,263,262,266,262,253,263,256,269,267,264,267,264,259,274,278,277,272,266,265,284,270,278,275,271,273,289,273,289,277,277,284,292,294,289,295,291,297,293,302,286,303,302,293,292,291,300,297,299,305,303,297,308,317,315,302,313,319,319,308,312,312,311,320,318,320,327,325,321,328,334,324,332,324,320,331,337,324,335,331,336,327,331,337,330,344,339,335,339,348,353,344,342,347,356,343,348,356,359,356,358,352,360,351,363,358,367,353,364,360,360,373,371,373,362,363,366,367,376,366,373,373,373,383,372,382,383,378,380,391,384,389,392,381,385,385,394,383,391,401,392,393,399,394,397,392,397,399,400,399,408,406,403,413,408,403,408,414,415,415,408,413,412,413,427,428,416,422,418,421,420,433,432,434,433,435,438,432,431,442,427,438,428,444,436,449,446,435,445,448,447,441,444,451,455,453,443,449,455,456,446,457,450,462,465,458,464,459,463,465,459,469,461,470,469,464,476,473,482,471,482,485,469,477,480,482,476,481,479,488,493,488,485,493,485,481,493,490,496,495,500,505,504,495,502,507,504,505,505,495,497,497,505,512,503,510,502,521,518,519,507,508,518,516,520,523,523,528,529,525,528,527,523,526,536,525,539,541,541,525,527,527,530,536,531,537,548,551,535,550,536,550,551,554,544,543,552,558,548,548,555,558,560,549,562,567,570,553,561,561,572,567,576,576,561,573,567,573,575,575,581,570,574,586,576,585,588,577,583,587,586,580,584,584,596,585,585,589,593,594,599,587,602,589,592,597,610,593,607,610,613,600,614,604,617,617,609,616,619,611,609,623,621,610,624,619,612,613,615,621,620,633,636,621,622,627,636,624,632,632,643,645,641,641,631,641,645,640,635,635,640,639,654,641,643,653,646,657,650,655,657,656,659,660,650,652,652,655,672,655,670,671,665,669,664,677,668,664,666,677,670,668,673,670,680,688,674,679,686,678,685,677,678,682,685,693,683,687,700,703,692,697,700,693,708,696,700,711,702,709,705,700,714,715,701,712,703,707,711,711,713,721,708,715,727,725,727,713,729,733,721,721,718,722,720,725,735,725,736,737,728,737,741,729,732,740,735,743,743,742,736,748,753,755,754,745,742,743,745,754,761,756,749,758,756,761,758,771,768,761,762,770,774,761,767,761,767,769,781,765,768,771,770,778,780,786,780,784,791,780,790,781,783,784,790,794,798,794,802,803,794,805,804,799,808,801,806,803,810,809,814,802,809,817,804,816,802,813,816,812,816,814,810,827,823,815,818,816,818,816,817,817,818,836,822,833,840,836,825,843,834,829,839,839,839,832,848,837,840,849,839,848,852,857,845,842,850,846,861,852,850,856,851,857,865,853,870,866,860,866,861,857,859,859,875,868,862,875,877,879,883,878,876,872,888,878,874,881,881,884,882,892,881,883,895,897,889,885,897,888,891,892,897,905,902,899,898,894,901,904,898,910,905,902,908,904,915,918,906,908,915,913,923,910,927,923,915,930,925,925,918,932,928,920,921,923,939,931,940,934,930,934,944,937,944,934,945,942,940,951,937,940,955,954,958,943,947,958,945,953,950,962,954,965,968,955,962,955,971,965,973,962,968,973,973,974,967,971,980,981,984,985,982,978,988,981,983,982,976,993,976,992,979,991,993,990}

{14,31,46,47,49,57,71,81,93,100}

Returns: "Possible"
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{1}

Returns: "Possible"
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{1,1000}

Returns: "Possible"
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{2,1000}

Returns: "Possible"
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{4,1000}

Returns: "Impossible"
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{23,1000}

Returns: "Impossible"
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{23,24,1000}

Returns: "Possible"
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{4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264, 268, 272, 276, 280, 284, 288, 292, 296, 300, 304, 308, 312, 316, 320, 324, 328, 332, 336, 340, 344, 348, 352, 356, 360, 364, 368, 372, 376, 380, 384, 388, 392, 396, 400, 404, 408, 412, 416, 420, 424, 428, 432, 436, 440, 444, 448, 452, 456, 460, 464, 468, 472, 476, 480, 484, 488, 492, 496, 500, 504, 508, 512, 516, 520, 524, 528, 532, 536, 540, 544, 548, 552, 556, 560, 564, 568, 572, 576, 580, 584, 588, 592, 596, 600, 604, 608, 612, 616, 620, 624, 628, 632, 636, 640, 644, 648, 652, 656, 660, 664, 668, 672, 676, 680, 684, 688, 692, 696, 700, 704, 708, 712, 716, 720, 724, 728, 732, 736, 740, 744, 748, 752, 756, 760, 764, 768, 772, 776, 780, 784, 788, 792, 796, 800, 804, 808, 812, 816, 820, 824, 828, 832, 836, 840, 844, 848, 852, 856, 860, 864, 868, 872, 876, 880, 884, 888, 892, 896, 900, 904, 908, 912, 916, 920, 924, 928, 932, 936, 940, 944, 948, 952, 956, 960, 964, 968, 972, 976, 980, 984, 988, 992, 996}

Returns: "Possible"
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 0, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999}

{4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264, 268, 272, 276, 280, 284, 288, 292, 296, 300, 304, 308, 312, 316, 320, 324, 328, 332, 336, 340, 344, 348, 352, 356, 360, 364, 368, 372, 376, 380, 384, 388, 392, 396, 400, 404, 408, 412, 416, 420, 424, 428, 432, 436, 440, 444, 448, 452, 456, 460, 464, 468, 472, 476, 480, 484, 488, 492, 496, 500, 504, 508, 512, 516, 520, 524, 528, 532, 536, 540, 544, 548, 552, 556, 560, 564, 568, 572, 576, 580, 584, 588, 592, 596, 600, 604, 608, 612, 616, 620, 624, 628, 632, 636, 640, 644, 648, 652, 656, 660, 664, 668, 672, 676, 680, 684, 688, 692, 696, 700, 704, 708, 712, 716, 720, 724, 728, 732, 736, 740, 744, 748, 752, 756, 760, 764, 768, 772, 776, 780, 784, 788, 792, 796, 800, 804, 808, 812, 816, 820, 824, 828, 832, 836, 840, 844, 848, 852, 856, 860, 864, 868, 872, 876, 880, 884, 888, 892, 896, 900, 904, 908, 912, 916, 920, 924, 928, 932, 936, 940, 944, 948, 952, 956, 960, 964, 968, 972, 976, 980, 984, 988, 992, 996, 1000}

Returns: "Impossible"
{0, 1, 1, 0, 4, 4 }

{1, 4 }

Returns: "Possible"
{0, 1, 1, 0, 4, 4 }

{0, 2, 4 }

Returns: "Possible"
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 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{1, 2, 3, 4, 5, 6, 7, 8, 9, 1000, 1999 }

Returns: "Possible"
{0, 1, 2, 3, 4, 0, 6, 7, 8, 9 }

{1, 10 }

Returns: "Possible"
{0, 1, 2, 3, 4, 5, 6, 0, 8, 9, 10, 11, 12, 13 }

{4, 5, 14 }

Returns: "Possible"
{0, 1, 1, 0, 4, 4 }

{3 }

Returns: "Impossible"
{0 }

{0 }

Returns: "Possible"
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Returns: "Possible"

Statistics

Problem Statement for "JumpDistancesOnTree"

Problem Statement

Definition

Constraints

Examples