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{ 59,4,84,62,77,40,3,102,76,119,27,33,56,177,32,12,161,73,21,196,136,123,17,210,11,193,216,80,90,18,64,57,128,51,6,25,13,611,300,63,202,65,48,415,42,605,106,23,152,0,99,275,22,217,803,26,49,205,122,503,291,53,5,2,37,29,349,87,667,453,402,318,209,361,19,690,283,403,718,445,342,129,14,61,194,79,436,245,370,397,297,141,86,862,485,269,240,52,91,85,494,304,510,153,95,573,115,1,45,416,249,184,139,757,475,255,133,81,529,292,41,469,111,680,250,813,113,31  },
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{ 38,99,542,453,139,196,117,457,23,328,13,111,37,134,961,11,12,775,401,51,587,40,474,153,277,477,54,629,475,33,719,79,165,41,14,569,157,4,413,188,89,115,64,339,734,308,15,361,369,197,313,102,94,247,155,45,248,236,57,514,72,758,402,128,181,485,377,509,86,237,488,0,403,266,141,46,10,164,211,471,184,588,65,180,29,2,875,528,490,95,76,22,5,50,17,7,721,670,391,49,18,503,817,789,431,21,257,216,32,208,305,177,136,1,880,803,352,140,342,260,229,202,67,867,597,59,757,899  },
{ 85,6,233,343,91,25,138,26,63,174,256,235,122,29,19,81,283,65,605,648,42,718,445,370,4,74,59,573,389,416,194,396,45,177,544,297,355,64,141,348,145,77,114,216,123,280,436,881,133,680,432,87,70,511,137,108,27,128,57,630,0,11,415,18,90,503,619,86,412,40,287,17,397,789,222,14,73,269,32,66,52,291,204,243,56,22,209,275,597,104,76,72,529,148,678,84,80,119,53,643,304,210,208,285,33,46,2,523,5,311,813,636,510,381,255,10,524,112,102,403,289,214,152,483,62,736,525,349  },
{ 49,5,197,408,193,18,20,61,713,350,173,21,64,97,509,95,729,841,263,0,241,32,165,104,43,422,65,125,35,510,60,474,7,120,102,523,397,14,48,232,260,128,347,68,546,387,38,58,693,403,16,105,81,71,115,784,10,560,91,72,6,862,27,92,51,707,344,22,9,237,319,29,414,107,55,66,643,147,663,450,391,498,240,357,70,468,90,2,751,370,98,701,84,819,903,330,207,623,141,63,52,718,569,308,864,475,25,159,74,283,356,326,158,86,12,900,494,137,171,42,221,202,85,734,386,847,873,650  },
{ 434,144,268,489,116,384,367,855,940,206,617,332,959,911,127,93,44,98,203,137,276,282,219,202,131,22,141,31,417,284,918,9,36,105,28,201,269,258,244,120,473,23,318,523,51,326,253,1,450,39,0,30,352,160,948,143,10,13,8,110,49,64,125,55,551,935,951,692,295,187,128,21,86,261,567,260,499,559,373,96,224,170,899,386,242,115,299,817,95,662,728,293,165,197,811,395,159,48,492,365,109,317,498,403,37,752,341,393,836,638,717,5,180,254,77,15,272,851,164,24,944,494,237,385,16,7,301,391  },
{ 106,17,255,32,64,62,136,292,162,129,476,352,237,214,123,519,241,720,141,752,498,247,211,41,119,209,864,507,249,180,179,290,710,954,425,148,317,618,197,90,186,21,5,115,248,77,76,269,217,183,45,48,14,227,130,3,263,12,304,38,165,128,243,546,23,2,358,207,117,164,57,579,51,245,205,54,454,313,152,350,177,13,155,873,339,270,50,4,428,378,157,655,449,496,305,400,365,171,86,1,437,742,556,372,369,408,471,328,266,216,33,80,153,139,460,181,597,542,316,40,102,29,751,59,361,257,84,341  },
{ 2,29,52,58,5,50,27,6,53,26,171,45,366,151,14,287,61,19,357,74,17,73,764,1,113,34,297,309,218,262,181,38,133,48,583,70,487,600,739,334,25,396,250,760,281,96,186,445,516,75,502,635,315,114,308,108,3,223,80,549,42,545,103,331,324,106,200,163,112,21,785,67,436,145,603,238,401,243,51,37,651,433,155,834,491,675,236,99,745,209,161,13,845,32,227,115,409,23,894,388,765,12,56,36,311,255,220,920,766,138,323,453,573,24,594,62,59,65,832,754,160,86,54,307,283,83,285,629  },
{ 130,711,412,381,59,196,210,730,236,77,402,401,803,202,453,361,99,108,283,291,153,57,183,128,503,421,4,51,14,719,432,11,318,275,117,23,529,757,3,475,13,339,457,133,488,123,670,899,603,369,134,33,65,46,266,386,2,47,754,12,32,389,114,38,838,56,300,40,102,177,739,111,961,523,629,328,758,64,54,90,216,514,269,21,594,0,743,37,775,657,576,894,403,152,650,194,471,34,200,5,832,162,50,494,805,472,18,165,22,6,29,181,95,285,10,129,188,480,15,1,322,24,229,342,139,714,79,86  },
{ 13,23,51,217,115,77,141,33,4,64,10,202,102,180,0,40,317,352,177,11,291,269,197,165,9,32,22,59,7,2,128,318,341,18,15,21,237,137,117,6,16,5,95,3,153,403,125,349,365,14,247,752,49,12,196,28,31,453,90,1,24,98,304,17,143,494,372,308,244,475,498,134,210,221,120,901,401,36,342,421,86,93,44,30,216,260,35,164,457,19,110,275,569,391,57,386,203,105,326,55,864,82,402,523,241,139,8,450,39,873,730,719,144,65,20,253,160,27,351,116,72,29,437,509,37,629,285,546  },
{ 23,13,202,51,21,269,141,120,5,48,128,137,318,523,15,102,125,98,1,450,93,403,165,260,64,197,77,33,180,12,457,32,221,82,817,115,44,110,31,7,352,494,2,386,475,308,117,4,153,326,14,401,719,116,196,421,37,237,16,453,9,144,730,351,17,99,6,30,291,402,203,18,11,899,19,24,217,96,498,40,391,20,10,39,95,854,3,341,50,134,349,293,373,177,615,35,365,65,139,0,45,285,372,61,8,317,90,922,805,901,342,59,43,898,76,29,509,393,127,86,752,170,208,105,89,72,67,38  },
{ 2,1,46,14,52,29,171,67,38,103,58,75,70,69,163,24,83,223,5,96,309,181,54,186,112,334,108,45,394,675,155,366,220,35,238,151,16,236,409,18,281,760,307,133,537,400,36,71,189,328,227,433,28,218,766,61,545,65,17,487,149,7,48,552,21,502,0,12,262,19,87,6,765,114,25,388,267,150,113,820,418,50,549,27,26,37,251,22,99,335,430,486,32,60,536,287,68,587,9,828,55,64,74,243,10,516,137,160,86,66,128,311,600,696,739,852,583,451,336,315,514,72,135,80,175,145,89,294  },
{ 15,2,1,13,0,10,153,5,9,7,12,23,3,14,117,6,165,134,4,719,457,196,82,341,180,197,33,22,120,115,77,8,961,21,64,217,102,317,569,365,351,141,260,32,31,18,28,291,11,16,110,111,37,125,93,386,17,202,40,450,269,372,730,901,99,898,44,36,177,854,38,342,349,352,48,523,758,318,453,57,128,401,391,304,72,76,403,19,922,326,752,29,629,49,509,475,237,137,116,98,89,55,373,95,24,27,26,30,494,247,59,482,86,25,210,96,54,46,437,899,139,65,253,817,661,498,308,873  },
{ 509,197,546,391,165,180,308,13,23,498,569,29,873,115,901,5,401,61,457,903,80,734,629,468,3,287,34,2,45,758,311,445,250,579,297,341,961,237,17,186,171,749,386,51,14,38,217,231,48,58,62,400,46,752,247,64,211,176,490,106,719,56,764,738,667,227,215,349,151,11,558,316,502,513,833,32,161,243,54,317,153,196,50,21,53,40,365,583,155,923,10,6,587,334,305,483,33,4,369,372,181,136,1,125,119,12,482,130,552,263,57,52,95,123,814,266,84,832,495,645,739,864,96,15,787,472,129,36  },
{ 73,19,250,27,714,200,444,472,26,34,813,53,390,322,17,283,78,297,106,630,436,113,122,690,123,432,136,128,176,862,161,389,503,684,611,495,80,378,62,42,108,529,14,56,469,57,25,412,236,177,59,47,65,102,6,216,275,3,381,680,235,179,527,605,84,129,383,130,619,183,368,46,255,814,33,23,318,2,789,77,141,13,453,194,245,51,11,445,45,4,152,63,650,269,22,90,64,0,133,440,29,349,40,585,86,678,736,291,95,196,153,184,361,18,210,38,58,803,401,5,117,10,114,358,61,730,249,119  },
{ 17,21,3,45,62,32,155,119,106,38,5,328,14,828,227,76,2,401,209,123,129,243,270,115,540,29,56,536,46,12,221,488,99,13,629,57,72,719,181,51,552,290,361,136,41,37,514,165,543,152,421,408,84,48,77,308,207,255,90,306,23,263,569,11,454,52,587,162,758,378,4,89,80,754,130,402,236,197,186,440,457,27,383,157,50,1,183,311,832,128,10,794,425,59,576,961,211,741,453,805,790,86,742,496,386,34,313,54,700,600,266,148,659,202,19,94,341,22,880,509,229,240,697,770,670,548,73,177  },
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{ 24,35,69,18,71,68,46,67,16,1,2,50,14,149,108,133,189,28,38,75,83,0,7,9,218,65,238,114,52,335,29,54,251,60,55,309,236,175,118,336,486,267,96,394,181,220,366,87,418,124,154,5,545,412,516,140,70,22,487,12,21,36,101,171,433,641,230,328,58,48,458,345,361,398,283,92,6,37,103,514,302,906,10,388,596,565,273,443,64,160,532,163,399,705,223,891,86,150,262,537,32,51,39,831,23,109,95,375,155,13,99,480,571,45,49,128,281,696,112,194,754,25,137,294,602,208,323,191  },
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{ 9,0,49,127,28,301,98,371,395,159,512,158,916,737,761,31,101,24,623,16,272,68,18,39,35,293,242,1,286,109,44,385,327,65,170,299,55,125,51,23,22,518,105,836,21,116,616,137,685,284,48,599,344,252,7,124,13,276,64,187,95,506,5,131,890,202,456,627,36,2,219,30,254,333,419,763,14,347,12,154,578,320,96,713,141,935,201,144,338,442,870,118,71,128,10,364,168,374,67,60,37,310,221,100,32,318,424,93,269,393,910,165,403,86,688,160,793,908,50,83,69,203,421,492,401,6,244,166  },
{ 17,136,62,214,123,129,249,710,119,162,618,292,209,141,32,183,77,128,211,106,64,45,4,11,179,269,507,519,207,59,177,130,3,40,90,86,255,378,33,202,76,57,205,655,790,152,678,38,21,245,37,742,248,5,102,597,476,306,556,41,291,229,117,349,80,339,153,313,266,318,84,54,947,184,56,12,155,134,240,197,305,157,304,217,148,186,165,275,257,789,99,216,13,497,317,72,137,115,10,196,460,383,619,61,51,188,361,457,369,425,50,290,440,14,342,263,180,503,452,241,208,237,194,432,381,65,111,22  },
{ 5,107,581,441,356,493,362,660,279,534,32,683,298,423,259,786,22,612,590,359,21,13,49,147,61,508,241,263,929,48,97,246,14,126,0,132,7,465,939,232,64,230,607,95,121,941,23,92,771,115,470,314,51,387,626,172,1,58,12,347,779,392,407,17,150,687,16,357,28,146,43,77,87,60,199,197,37,40,711,178,501,65,10,9,180,140,35,33,24,595,102,120,56,30,70,207,344,324,125,46,31,165,18,20,577,414,376,2,350,4,260,427,173,408,195,141,247,76,603,217,86,11,379,55,729,90,75,50  },
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{ 49,159,272,28,9,327,254,158,22,347,95,627,374,286,131,424,105,168,35,39,912,65,68,578,688,0,538,55,24,518,175,154,124,239,634,346,289,224,169,913,577,16,320,364,747,219,185,616,101,716,67,344,1,890,570,170,30,810,109,333,228,420,21,36,439,64,149,23,127,371,194,13,706,827,125,51,114,312,83,187,98,429,613,10,137,829,610,86,310,166,910,31,835,190,406,71,18,242,202,846,141,938,160,44,14,2,385,69,7,48,308,301,258,128,638,237,115,12,165,96,100,103,562,703,221,116,164,50  },
{ 15,33,77,4,102,317,341,141,117,365,134,13,180,1,40,153,5,115,23,11,197,10,217,196,21,901,22,64,752,352,143,253,244,351,137,51,32,2,269,177,82,59,165,12,3,291,569,202,120,0,854,139,342,86,55,36,372,31,9,898,48,498,349,37,260,7,28,111,125,17,482,49,318,160,457,6,450,44,128,90,275,237,95,210,57,386,873,638,98,523,105,164,89,93,30,719,922,961,509,308,8,14,72,951,403,401,730,391,304,116,326,39,468,56,38,717,94,24,579,817,76,61,96,16,18,546,629,494  },
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{ 7,2,66,20,58,29,52,74,128,14,135,5,32,97,192,43,38,61,6,631,16,151,87,21,25,315,172,177,46,48,173,186,45,884,70,90,113,77,227,72,226,23,102,51,137,35,210,337,202,59,40,104,402,155,115,269,89,592,81,33,122,13,60,174,112,107,24,19,243,0,145,222,580,76,37,49,64,10,416,318,738,18,353,204,26,491,678,95,4,290,141,54,232,69,92,22,415,140,712,270,217,12,171,496,86,220,27,17,549,294,209,1,355,609,494,425,285,50,665,148,403,560,36,216,400,75,275,307  },
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{ 2,14,1,46,29,38,6,52,103,50,65,36,67,5,108,75,83,7,22,24,25,69,28,86,208,133,0,323,19,26,484,18,309,782,96,283,236,238,124,160,135,21,10,12,74,87,66,168,17,262,70,412,23,389,16,51,650,278,289,532,45,194,3,756,218,32,220,58,646,244,42,115,95,37,27,13,48,886,49,267,366,226,302,128,54,610,64,516,547,584,137,253,9,308,143,388,141,717,335,480,401,164,185,357,505,109,150,732,602,420,99,285,172,202,891,112,189,324,181,35,418,696,331,90,114,55,294,458  },
{ 15,5,1,2,3,4,12,11,13,10,0,341,21,180,7,33,197,6,134,17,77,32,365,23,901,37,117,9,8,40,165,102,153,961,51,498,196,569,14,873,752,217,22,94,64,317,59,36,352,474,31,509,99,141,110,55,291,111,457,120,391,57,19,16,82,48,177,401,38,386,349,202,308,139,93,342,453,72,275,18,44,143,351,28,27,90,128,403,269,372,45,137,76,260,318,89,326,210,86,277,898,413,237,719,148,864,730,96,95,79,373,475,61,24,46,30,523,253,98,482,83,546,54,49,50,41,899,758  },
{ 203,268,206,940,93,417,959,499,473,137,31,44,728,692,8,120,202,559,564,450,127,141,260,326,817,244,22,10,0,23,551,318,144,125,13,523,269,128,299,98,1,253,373,51,494,403,9,116,341,143,64,110,638,285,5,615,642,859,367,55,918,576,21,421,180,386,922,165,105,36,401,2,365,115,899,242,352,28,951,393,704,86,30,901,475,7,762,276,77,384,948,237,32,197,49,492,434,160,661,489,170,15,39,752,317,498,854,453,282,717,6,18,16,569,395,479,351,805,12,958,898,456,48,293,851,308,301,509  },
{ 15,120,82,10,165,31,0,197,64,260,33,8,93,110,22,351,40,44,77,23,153,13,9,102,4,51,196,125,326,11,450,49,139,28,237,203,386,98,457,18,32,373,95,523,1,21,277,59,854,180,111,202,12,141,898,17,36,116,144,14,115,922,86,57,128,5,45,30,2,391,217,7,817,37,177,730,90,509,719,72,99,16,76,62,453,291,352,475,318,269,403,341,48,134,961,55,24,3,143,899,308,401,137,65,38,615,210,629,317,901,758,342,569,494,661,365,39,247,164,421,704,546,61,6,811,41,642,752  },
{ 60,7,16,71,43,0,14,20,28,97,68,22,92,24,149,2,35,10,154,13,126,615,608,51,124,362,140,55,805,18,958,576,566,175,23,359,6,1,48,453,158,150,703,21,421,260,173,475,298,153,107,74,64,36,29,925,46,12,882,899,441,801,81,357,246,196,77,69,38,25,9,117,65,49,314,37,484,386,730,336,115,570,403,356,324,221,135,121,19,401,99,939,420,399,859,942,628,610,289,285,259,125,101,95,33,26,702,677,165,4,653,375,185,192,91,515,302,197,104,326,595,318,230,202,191,143,102,90  },
{ 26,19,6,27,80,25,84,45,17,5,504,42,129,2,240,123,618,29,56,106,113,710,4,76,119,128,14,136,65,64,73,59,1,209,483,53,162,51,90,548,122,205,249,202,40,99,3,460,32,257,62,292,61,214,77,245,57,12,378,141,183,453,34,297,11,184,108,23,255,469,0,403,22,33,58,95,10,86,814,318,769,114,179,402,611,667,130,475,21,151,210,137,742,161,38,177,494,7,436,269,102,194,115,445,18,36,421,13,47,153,880,775,54,133,196,37,49,495,306,311,112,46,52,117,250,28,491,48  },
{ 15,77,13,33,4,23,102,11,51,5,40,177,0,117,10,202,64,8,93,22,291,32,21,44,31,153,110,1,141,49,115,59,82,180,9,17,318,196,98,269,351,403,137,453,36,95,457,217,3,90,139,128,48,28,898,12,165,450,475,349,341,197,523,18,30,210,317,86,16,260,401,2,961,901,719,57,116,494,854,326,373,125,365,817,352,730,275,134,39,386,105,76,24,7,308,372,37,342,6,421,120,704,144,14,899,922,203,111,304,569,638,72,661,61,629,96,127,99,811,535,498,65,615,752,247,83,402,758  },
{ 195,271,98,223,167,132,407,146,360,591,1,212,834,121,522,393,293,199,259,354,446,668,590,562,807,191,156,48,765,125,107,147,941,163,727,541,535,465,126,284,21,346,31,279,23,55,18,5,687,16,60,640,13,697,586,178,534,35,20,608,581,150,955,427,68,70,589,43,142,791,463,198,116,51,883,362,9,963,781,202,49,0,818,96,493,7,948,281,120,165,367,798,450,10,44,318,77,105,14,325,221,92,28,22,61,770,101,777,58,93,32,97,467,141,386,33,144,371,75,127,37,108,929,269,411,598,551,128  },
{ 210,128,202,77,402,318,102,403,33,342,275,40,196,475,6,300,139,29,177,99,494,269,42,503,111,757,277,141,117,52,2,4,678,13,153,12,0,23,59,285,37,137,85,81,7,291,859,657,351,122,82,576,44,31,880,260,216,120,91,78,63,14,11,1,745,65,64,93,854,27,684,22,485,180,76,74,19,3,21,805,49,38,281,48,966,838,631,452,450,421,218,134,26,25,569,341,115,898,738,592,110,98,10,315,788,707,491,483,432,396,319,268,242,125,116,95,62,57,56,50,17,16,9,655,526,453,426,422  },
{ 40,33,102,23,51,13,117,196,153,77,134,64,128,202,4,59,141,453,65,475,11,403,22,95,0,137,14,139,15,342,210,12,86,318,269,165,115,1,49,10,494,177,28,180,36,291,421,21,57,5,6,217,18,194,99,401,2,457,108,719,125,19,111,260,82,37,27,48,17,3,523,197,133,26,402,120,114,670,352,7,24,730,93,216,90,46,237,50,32,386,361,9,341,351,25,349,300,283,277,38,34,901,365,326,275,98,110,285,45,41,391,44,317,576,961,242,143,16,509,170,31,854,308,54,116,817,757,629  },
{ 7,14,16,24,18,28,71,2,92,60,35,22,20,0,154,118,168,6,1,97,69,703,302,149,140,150,185,38,109,43,66,68,108,420,29,55,10,158,610,12,65,67,5,701,189,273,570,95,230,429,46,124,246,289,298,51,21,169,143,49,175,23,107,747,126,671,13,64,48,159,25,925,677,137,36,52,398,32,9,251,584,467,164,128,942,19,86,577,847,83,173,336,403,74,50,424,202,232,882,172,17,344,279,638,375,105,314,104,37,125,115,441,356,505,99,253,239,26,221,359,329,194,533,837,517,165,494,601  },
{ 23,1,15,51,2,13,5,0,7,180,21,9,6,115,197,120,12,165,4,33,457,386,523,202,141,3,14,260,450,48,8,16,77,93,31,341,37,269,40,403,44,730,110,326,32,102,317,137,318,453,352,719,365,18,128,217,153,82,475,36,98,64,391,752,401,901,899,421,308,196,11,498,22,28,351,99,116,10,117,24,817,96,221,30,39,494,509,569,177,203,49,961,144,291,373,615,59,17,801,372,482,72,758,90,89,854,50,629,134,127,35,86,349,922,160,55,244,105,237,143,468,898,210,54,46,670,342,45  },
{ 132,146,199,107,60,121,126,279,150,441,92,649,16,955,493,195,598,423,653,298,35,407,356,640,362,508,32,21,953,7,360,359,522,18,271,783,5,246,167,0,660,156,534,939,71,191,22,517,590,24,49,259,314,10,607,28,392,13,232,147,68,97,95,14,43,883,118,1,37,581,48,501,354,809,55,108,4,591,12,20,23,347,345,212,467,230,446,241,125,50,941,75,9,31,98,683,929,77,2,672,33,713,463,702,273,61,40,59,70,46,101,58,172,586,357,296,115,779,36,350,109,727,388,236,207,87,105,408  },
{ 31,44,276,284,98,299,935,116,201,662,9,39,492,144,489,131,567,371,268,0,49,918,127,137,367,254,28,434,293,737,30,203,1,295,22,456,93,125,219,385,23,202,187,393,21,716,105,599,578,51,36,128,141,836,272,269,244,318,384,13,159,395,48,261,96,110,224,616,326,242,35,16,253,5,95,55,64,160,258,158,143,18,100,699,165,24,115,948,120,37,403,86,166,310,12,924,457,855,940,77,10,442,494,101,109,7,197,317,206,68,2,373,617,761,352,285,908,217,332,341,916,228,32,33,518,688,730,473  },
{ 13,15,23,51,1,0,10,2,4,115,77,5,9,202,3,197,457,7,22,11,165,6,961,12,33,14,59,177,403,21,102,40,453,180,719,217,18,31,120,141,32,475,8,318,569,37,16,341,210,17,386,450,401,28,269,64,99,326,494,317,730,308,44,523,93,352,291,90,125,365,260,36,275,24,134,49,139,30,110,498,421,98,57,196,391,19,117,72,342,153,48,817,873,349,482,901,221,629,76,237,111,899,86,95,216,509,752,304,137,247,82,372,116,758,89,27,38,39,65,203,55,402,45,29,373,300,143,615  },
{ 162,123,257,184,183,17,229,130,84,136,497,556,152,383,129,452,99,80,3,205,62,57,56,266,106,119,12,128,40,4,161,378,27,14,495,504,381,202,769,469,249,59,77,432,11,34,33,305,64,90,403,240,38,54,5,102,45,32,23,73,618,475,51,361,440,139,775,37,402,471,318,53,21,494,65,141,19,372,453,313,421,177,880,472,757,217,245,548,250,527,2,76,524,349,61,86,216,153,210,196,115,179,10,619,328,269,291,214,72,483,117,209,6,26,22,477,111,95,13,401,114,157,369,211,36,134,48,306  },
{ 196,153,117,453,134,33,40,23,102,51,13,475,0,14,22,15,12,2,64,670,21,401,730,4,18,99,65,10,9,11,1,28,95,57,128,77,5,38,46,37,403,386,202,719,24,6,108,457,899,139,31,59,16,82,36,165,32,120,961,86,236,48,8,342,141,775,125,308,137,7,54,523,50,269,197,494,318,115,300,260,39,758,450,180,421,277,90,217,341,629,361,49,3,326,114,93,391,291,210,194,328,317,111,17,352,558,110,377,29,275,283,133,485,817,898,615,801,351,160,19,488,569,350,373,109,84,56,183  },
{ 224,219,187,258,442,871,908,385,836,131,944,574,839,127,98,613,31,116,926,44,137,829,860,160,827,276,39,254,284,36,144,228,201,96,406,1,371,530,202,856,716,93,30,51,9,203,268,737,902,492,23,49,21,190,13,318,843,531,326,269,924,125,367,141,64,77,120,166,816,935,800,242,299,115,456,260,293,274,931,494,395,567,110,217,662,5,317,22,717,100,143,434,128,28,48,86,533,10,295,105,332,55,489,180,365,918,418,102,578,197,244,83,341,576,403,384,625,165,261,177,159,352,291,822,863,473,251,206  },
{ 195,121,360,590,146,407,156,786,522,132,883,591,626,929,941,259,687,279,379,586,296,465,467,150,178,354,5,21,55,534,70,60,783,771,13,346,340,48,271,581,49,493,163,1,199,147,608,668,125,955,167,562,535,98,518,108,362,18,371,212,446,107,761,878,31,126,50,463,35,818,105,75,120,598,87,0,767,223,165,640,22,447,293,777,159,16,23,9,142,115,658,92,481,44,95,37,807,93,61,58,24,191,33,7,846,395,12,197,4,385,127,423,71,140,82,427,144,116,17,117,2,363,698,246,39,64,32,781  },
{ 2,1,29,14,6,46,52,26,75,38,5,25,19,50,96,70,108,114,309,36,103,74,17,65,27,112,45,262,236,220,145,218,58,42,86,516,24,366,22,7,67,21,12,66,532,87,412,18,480,283,602,323,137,3,163,226,238,0,194,51,32,28,10,69,171,37,23,115,208,128,331,394,135,48,99,64,13,433,285,160,61,782,113,357,308,222,95,484,401,16,141,294,151,287,223,83,646,124,389,361,894,866,545,421,54,324,4,278,388,396,186,650,594,53,168,453,289,202,59,253,181,90,273,138,150,403,756,606  },
{ 15,82,120,10,197,260,0,165,351,8,64,31,110,93,9,22,117,13,457,450,1,44,33,23,326,102,49,125,898,153,719,77,854,523,18,14,98,12,40,7,961,2,115,373,180,5,51,386,36,111,141,95,730,28,196,922,139,203,55,116,4,817,498,899,128,30,177,86,569,144,661,99,37,202,16,24,65,318,21,873,11,59,6,277,217,391,269,341,38,32,291,143,237,352,210,317,3,365,509,474,349,758,704,642,216,39,615,137,453,275,403,401,94,300,304,629,247,372,242,342,90,48,752,901,801,308,221,811  },
{ 7,66,97,172,232,192,226,2,74,324,52,29,135,92,568,222,43,107,353,87,387,580,500,38,620,448,331,526,140,330,5,138,294,174,356,20,14,262,298,32,357,145,173,853,6,359,21,126,58,16,204,808,64,888,337,104,314,673,35,22,729,95,872,25,278,380,70,802,37,583,426,1,49,12,112,69,75,65,86,61,45,60,48,10,246,90,230,0,42,355,24,220,415,85,81,889,46,885,36,825,287,28,194,72,171,792,392,632,560,280,312,50,71,115,76,54,26,18,151,155,707,587,89,17,4,764,147,59  },
{ 62,129,123,162,183,507,618,136,249,152,211,57,77,184,205,59,130,4,128,41,11,40,117,17,229,497,361,257,3,33,38,313,452,266,378,248,153,64,106,90,210,383,119,12,328,214,99,432,216,157,196,86,202,556,179,54,102,80,37,381,402,471,134,245,177,5,514,369,188,339,440,305,275,524,141,45,269,84,710,529,291,403,139,342,115,56,318,209,76,504,421,372,742,619,292,240,237,79,27,14,775,22,19,10,23,457,95,21,207,488,13,494,180,542,65,300,401,306,32,34,114,26,215,25,217,769,151,110  },
{ 13,1,4,5,2,23,115,15,3,51,6,0,7,77,341,217,11,141,177,33,317,12,180,21,365,197,202,32,318,352,269,102,901,9,291,10,165,40,403,752,59,22,8,31,401,569,349,494,120,308,304,44,110,90,17,386,64,93,37,247,153,210,326,14,450,28,373,117,16,372,48,196,457,260,98,275,475,498,237,453,125,30,18,203,523,342,49,509,391,36,961,128,873,134,719,116,629,24,482,421,39,221,216,139,244,72,730,253,95,817,55,86,143,615,57,661,351,704,144,127,899,105,76,864,576,82,922,758  },
{ 6,26,235,145,19,47,112,78,648,624,630,27,85,64,42,95,122,444,25,644,113,70,108,453,29,632,130,711,53,222,74,390,32,65,237,412,416,280,665,287,813,138,730,307,73,680,283,14,196,52,34,4,312,51,236,226,90,262,17,337,22,180,59,331,500,128,86,884,315,194,690,114,133,498,849,137,50,200,3,256,21,2,49,45,33,23,13,66,141,409,445,297,288,57,381,719,11,396,289,247,87,163,165,1,250,5,46,115,153,525,99,183,76,746,324,63,792,675,294,316,56,214,28,583,751,125,285,503  },
{ 51,23,99,12,15,13,153,10,117,403,120,37,82,165,128,453,401,64,202,197,2,115,110,14,260,457,21,475,5,308,0,38,93,719,31,3,22,134,141,1,33,196,386,180,351,17,421,569,44,326,125,523,961,11,730,269,137,402,318,450,4,494,8,49,36,9,98,18,7,95,391,6,54,629,328,32,237,28,40,19,86,775,373,57,116,41,854,77,79,59,899,352,94,474,102,203,509,477,65,758,89,341,285,221,901,217,111,177,16,361,144,30,880,757,498,46,29,27,670,105,898,143,24,62,72,277,317,55  },
{ 16,24,71,18,92,108,35,60,146,64,7,118,246,199,126,121,32,50,9,267,649,156,167,830,271,133,273,140,36,68,5,230,132,247,21,14,1,640,12,563,48,0,87,388,75,2,237,220,330,86,46,354,115,65,672,304,128,55,751,522,180,360,95,28,236,191,516,114,163,696,149,953,189,22,54,565,141,51,137,217,674,412,352,49,340,23,633,37,309,458,202,39,10,394,58,103,70,597,125,262,72,38,947,726,591,502,437,195,164,363,67,641,514,602,954,124,864,448,107,150,143,101,366,283,13,678,317,177  },
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{ 234,639,178,416,77,455,5,49,142,202,450,427,0,147,329,21,198,315,61,557,344,13,113,32,318,120,22,23,325,48,259,534,494,105,95,347,518,798,39,884,159,58,481,99,817,623,878,291,112,711,70,64,17,1,31,320,51,265,158,65,465,128,362,192,137,236,845,260,403,44,310,141,196,342,177,30,7,271,241,195,135,269,28,290,210,929,15,4,307,170,125,663,102,33,275,263,132,859,408,294,194,786,581,402,301,153,86,523,98,150,423,346,167,25,237,415,36,858,682,592,352,117,100,12,37,10,709,146  },
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{ 26,396,648,6,112,122,624,145,287,19,222,416,42,25,573,138,74,651,644,151,66,113,445,45,85,665,280,29,525,204,64,174,337,680,87,884,135,53,65,70,436,27,95,58,297,881,194,73,80,746,544,235,17,86,2,90,243,32,22,5,128,1,609,353,311,141,61,315,307,491,226,106,0,52,81,813,614,209,255,7,632,75,114,10,36,186,580,415,289,63,611,14,34,33,49,214,28,792,117,250,312,283,77,125,172,108,389,76,192,208,355,237,667,56,4,91,165,294,40,348,148,635,102,123,256,153,46,549  },
{ 156,360,522,271,146,354,21,446,121,132,5,463,591,340,195,727,586,18,48,407,13,49,167,32,668,60,199,566,23,16,447,698,955,575,9,658,296,493,608,150,126,0,534,35,24,581,92,71,590,363,107,279,141,125,640,31,212,4,929,411,467,562,10,1,51,115,783,165,191,22,623,68,598,379,61,12,293,273,202,95,197,303,163,663,269,108,37,101,221,118,621,391,76,28,17,40,109,7,767,260,55,518,120,33,11,77,259,39,347,941,44,252,713,478,98,140,408,350,93,626,346,264,900,509,818,30,170,763  },
{ 21,5,61,49,98,23,95,32,612,178,259,51,182,48,13,481,120,77,683,660,427,291,147,64,70,4,465,33,344,269,241,0,17,767,318,263,202,141,107,415,817,450,180,22,534,392,362,125,116,347,11,929,350,121,595,408,423,352,293,260,196,165,117,105,102,87,86,59,37,18,7,3,557,376,845,663,579,541,490,356,316,115,90,163,928,711,28,132,590,407,941,922,704,645,523,360,346,284,268,232,210,203,195,177,144,134,118,97,65,60,40,16,1,298,153,146,58,937,798,414,113,31,771,246,207,142,281,647  },
{ 468,89,358,79,365,94,179,205,317,405,482,498,245,72,115,341,217,180,413,490,111,734,247,431,188,216,37,474,152,452,11,629,569,873,752,749,497,197,4,339,308,13,12,59,901,428,864,579,40,76,23,372,291,875,10,352,134,961,117,77,542,528,401,51,588,349,471,529,33,464,546,477,645,139,221,1,377,38,21,99,36,177,509,64,449,316,14,2,304,143,102,437,9,32,196,741,3,165,5,275,202,128,54,277,237,153,210,743,457,430,300,773,485,460,141,17,0,350,22,288,421,257,270,48,8,184,137,15  },
{ 24,35,71,68,16,18,92,118,375,108,7,101,302,175,336,154,60,273,14,124,9,398,230,140,0,150,55,149,28,345,189,399,246,191,65,346,69,722,212,46,1,458,167,22,429,314,2,267,126,674,21,388,439,97,67,38,114,10,48,252,628,95,364,251,882,50,133,637,36,49,39,109,12,823,172,768,602,103,236,650,5,83,520,66,232,64,517,32,562,847,694,815,589,702,107,96,51,594,23,695,363,298,37,535,462,484,29,13,796,86,467,886,604,806,868,121,419,125,54,755,451,168,100,135,570,158,6,169  },
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{ 15,40,4,11,33,120,10,82,165,77,110,93,31,8,260,0,23,22,102,51,13,59,44,351,125,64,197,139,32,9,21,326,28,450,196,180,98,203,57,141,386,49,373,12,111,95,1,391,5,457,99,403,115,18,453,116,202,134,475,523,719,854,37,117,128,401,237,48,144,177,14,898,36,217,2,90,308,269,342,758,30,210,318,277,730,494,17,509,922,352,291,817,86,3,65,16,901,24,194,402,105,38,137,7,341,317,29,961,39,629,55,72,76,300,661,752,421,899,242,54,775,247,349,365,569,143,615,485  },
{ 16,71,24,35,68,18,118,60,0,28,124,92,7,55,9,419,375,14,109,175,149,101,126,252,302,346,150,439,108,154,158,570,169,185,364,22,273,49,65,917,701,329,168,962,420,191,925,39,628,107,2,1,604,46,140,67,97,21,535,265,38,69,159,942,677,10,722,336,105,345,694,467,703,48,5,95,246,553,810,882,20,83,333,43,12,706,13,637,826,100,23,847,671,36,167,279,121,793,189,199,374,50,125,51,212,230,286,66,272,566,6,484,634,344,32,429,289,327,86,103,96,601,114,441,517,37,64,298  },
{ 17,45,227,106,209,243,21,290,255,400,207,48,263,270,62,186,119,2,496,454,50,32,3,5,52,221,29,425,136,408,430,46,513,171,14,659,54,84,787,721,741,56,281,38,536,80,181,378,240,742,587,552,1,306,76,123,241,541,655,328,428,61,129,41,666,72,502,57,89,12,760,540,115,155,148,383,449,794,37,96,361,152,11,34,214,4,311,51,440,474,592,431,64,790,202,179,405,350,292,36,90,67,663,6,141,59,13,498,103,583,130,697,514,40,211,99,58,10,128,237,217,770,27,869,157,828,834,391  },
{ 340,354,586,658,668,156,195,698,363,447,883,296,1,411,303,18,379,9,919,360,51,621,98,31,48,591,371,13,21,446,163,5,121,70,132,125,23,759,846,127,761,478,60,293,223,271,146,385,120,664,691,108,763,82,634,638,75,4,260,24,807,774,144,44,522,407,30,457,32,16,914,463,126,777,335,93,771,367,71,49,39,12,0,687,351,118,299,201,40,7,50,848,518,284,922,854,758,538,364,279,11,10,724,310,217,326,64,393,77,541,767,167,150,137,105,103,101,87,58,17,115,286,225,33,401,867,850,663  },
{ 277,153,111,12,23,51,474,99,38,139,37,457,453,117,542,41,79,629,196,401,13,11,14,569,961,102,33,134,188,89,40,157,54,328,72,775,57,115,17,94,413,339,431,15,377,369,3,477,308,719,248,165,313,4,468,45,485,148,32,197,76,734,216,62,2,21,10,587,405,64,5,59,29,34,6,210,82,509,471,128,155,152,730,177,490,7,266,361,52,120,475,1,0,873,19,305,758,9,899,125,22,110,386,300,211,93,529,229,48,260,237,180,65,50,528,880,77,391,86,36,27,588,326,546,482,402,514,56  },
{ 18,16,24,0,159,35,68,49,105,9,60,71,101,28,344,55,7,118,320,109,424,14,327,455,239,22,286,170,272,310,1,374,252,154,419,329,167,158,124,518,23,95,709,39,2,21,51,65,13,301,5,890,48,92,265,98,191,212,12,10,108,137,347,128,30,538,31,364,125,202,37,553,20,149,121,557,185,36,677,67,333,169,338,146,127,346,46,175,64,6,126,100,577,50,254,32,512,916,33,403,86,395,69,242,806,371,115,96,44,77,318,221,479,694,616,102,165,623,83,910,627,737,917,38,793,578,846,375  },
{ 0,105,9,16,49,18,24,68,101,518,158,320,28,35,301,170,272,890,344,286,109,327,39,65,55,512,7,1,127,916,98,118,252,60,737,159,239,371,21,71,124,395,154,14,48,455,623,242,31,23,51,419,374,364,761,5,2,12,137,310,95,125,293,333,846,202,13,616,329,347,338,385,30,37,131,44,938,479,128,836,709,22,538,265,506,64,793,627,10,67,167,299,403,827,212,713,578,149,116,32,36,219,100,910,254,553,175,318,677,108,185,50,6,96,46,685,221,421,424,191,577,92,93,269,599,187,165,284  },
{ 141,180,1,5,352,365,13,2,4,217,341,115,269,317,15,23,752,3,7,901,6,0,197,21,51,31,77,202,44,318,32,64,372,873,498,10,93,8,11,244,33,9,165,12,102,137,22,253,49,48,237,116,30,98,125,39,177,569,401,28,143,291,308,864,509,40,120,349,403,37,105,391,144,153,482,203,450,110,421,127,72,576,494,95,453,260,247,96,475,373,326,117,36,717,304,131,128,134,90,89,14,457,854,221,206,196,55,811,82,947,629,351,922,386,59,961,734,670,17,437,661,224,201,16,88,76,164,187  },
{ 51,4,23,102,33,300,40,485,453,880,153,19,17,196,27,342,78,26,53,403,47,77,210,0,475,117,73,2,57,34,11,5,200,13,99,494,14,1,22,12,176,421,64,111,41,21,368,361,59,757,231,130,123,6,139,128,134,401,106,18,56,49,322,317,177,45,775,48,115,165,108,10,125,65,504,495,197,32,605,229,80,341,221,183,390,813,46,37,618,306,95,719,554,152,753,736,543,444,161,402,277,119,630,236,216,122,113,29,730,237,25,899,217,714,383,297,472,445,378,250,38,678,670,527,503,469,412,318  },
{ 62,440,56,184,229,183,556,130,3,136,548,152,266,99,162,161,17,57,84,452,305,12,383,257,123,403,34,40,527,14,205,349,504,555,497,328,4,361,202,139,775,33,38,37,128,475,129,880,313,381,757,102,11,196,59,119,401,432,402,54,471,453,215,77,23,514,507,585,51,211,153,80,494,495,469,236,477,117,111,64,421,240,369,106,21,214,277,157,308,5,291,141,378,249,13,2,803,619,318,45,76,177,27,485,472,134,41,32,412,339,216,65,524,197,10,72,114,176,165,53,90,372,22,188,245,86,217,543  },
{ 13,23,115,51,141,202,77,64,269,217,33,318,102,32,21,128,137,0,177,180,4,5,291,9,48,352,10,197,90,196,317,40,153,7,372,18,15,349,22,2,247,165,275,6,403,11,117,125,237,59,3,16,752,494,28,342,304,31,341,134,14,98,86,210,36,241,12,244,49,95,24,498,30,116,39,1,143,901,453,20,450,144,365,402,221,17,475,93,203,127,65,253,216,72,326,120,164,576,35,19,96,44,437,160,421,308,83,67,864,954,569,817,719,25,101,100,61,55,57,284,805,523,401,60,293,285,105,88  },
{ 1,22,36,105,170,28,55,239,86,31,2,95,5,9,127,0,98,301,12,64,67,7,49,320,109,654,44,83,10,169,208,143,21,312,35,13,23,128,141,740,125,242,14,512,293,116,160,237,51,395,50,338,37,159,96,6,933,114,115,708,299,751,185,137,844,505,269,168,69,48,638,103,597,928,202,180,244,323,16,352,253,165,3,713,197,194,892,39,24,599,65,54,341,285,318,286,46,685,456,951,4,623,824,32,133,158,365,584,601,535,38,498,144,218,251,841,533,506,30,371,217,479,8,503,284,870,752,276  },
{ 15,0,1,2,5,13,23,7,901,9,6,8,12,51,4,3,457,180,341,898,82,22,115,10,141,120,117,31,351,14,202,260,197,28,269,33,153,961,64,30,44,37,93,18,569,854,11,21,16,77,217,137,365,386,719,237,134,391,110,128,523,49,450,36,629,498,352,102,125,326,317,40,401,509,730,318,196,24,203,546,308,39,116,922,55,752,32,86,817,17,403,90,98,35,453,95,373,59,99,873,177,758,111,143,38,291,242,139,65,48,244,899,372,285,642,349,247,144,734,638,615,482,277,72,253,421,89,475  },
{ 274,98,100,39,1,265,438,190,310,625,382,30,530,223,909,96,264,593,166,778,88,812,410,960,731,557,252,31,125,21,539,23,254,9,48,51,116,639,44,478,393,131,127,13,101,0,293,284,329,795,404,840,144,656,435,333,724,616,5,219,228,321,272,421,834,165,921,957,224,105,32,36,93,128,697,367,541,669,765,242,221,49,676,137,418,455,160,748,83,897,163,202,682,578,475,453,553,386,807,217,213,551,613,406,335,403,141,466,197,827,180,948,37,158,187,115,905,821,791,203,352,286,258,371,120,863,730,2  },
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{ 24,28,14,7,35,16,22,65,0,1,2,158,49,109,55,159,124,95,18,67,149,105,71,239,169,68,108,185,424,289,9,12,69,46,577,10,175,154,320,5,164,347,6,747,344,21,835,36,286,50,38,83,170,654,892,23,420,92,114,51,64,143,60,13,374,189,302,429,140,48,103,570,118,32,37,29,336,610,133,327,312,398,39,484,128,638,168,301,272,125,202,137,86,150,30,194,230,671,345,584,703,96,54,115,273,251,310,283,141,518,98,308,20,538,401,101,127,52,31,221,346,455,535,236,403,389,458,267  },
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{ 28,301,22,31,127,512,105,98,395,109,44,299,293,95,9,320,1,599,685,900,55,0,239,36,763,338,242,49,116,125,841,168,870,456,286,23,276,506,86,35,284,51,185,65,492,159,2,24,374,479,13,393,928,5,144,7,64,169,713,141,12,137,327,21,202,14,268,237,16,935,10,201,558,272,538,67,401,367,37,143,83,308,424,164,312,128,158,115,48,165,918,654,194,269,923,740,39,347,244,623,18,6,489,253,318,114,963,160,352,289,124,180,68,96,420,170,203,175,131,421,219,434,197,391,221,762,453,93  },
{ 2,58,29,52,1,186,334,46,5,14,151,75,45,400,155,50,61,227,163,262,502,69,549,70,220,223,48,38,311,112,67,409,113,780,7,243,675,767,27,17,209,24,103,80,394,96,21,315,54,307,513,536,83,287,787,309,37,281,6,16,106,807,171,587,496,267,19,32,631,474,270,491,12,35,181,26,583,454,74,869,820,852,36,324,721,255,845,278,64,73,335,357,89,87,140,72,537,25,760,290,18,659,614,430,189,66,97,133,663,114,108,592,552,128,331,666,764,141,606,3,86,380,486,366,76,65,148,10  },
{ 7,107,232,135,97,387,92,356,298,66,14,2,192,359,278,172,52,357,126,324,448,35,60,526,314,16,38,29,46,330,380,43,362,259,392,230,20,226,74,140,262,246,279,147,24,825,64,58,5,121,568,87,294,32,220,501,132,21,612,465,95,150,86,104,620,18,12,71,173,581,54,534,0,893,37,22,808,583,178,353,90,10,580,550,146,707,802,600,606,331,194,112,222,28,69,660,853,65,70,199,171,68,560,1,174,36,50,77,49,48,779,500,204,683,493,414,6,61,25,764,55,138,33,102,750,888,307,45  },
{ 20,43,104,414,560,426,707,784,173,319,861,7,819,81,715,422,879,0,376,330,74,95,97,52,32,192,64,38,22,49,526,356,66,204,681,397,207,140,232,5,470,65,693,61,359,636,387,500,107,324,28,91,712,18,10,29,147,77,21,595,392,113,577,172,729,2,325,24,138,92,33,347,125,86,945,102,90,306,40,115,4,198,370,583,230,174,12,904,180,11,858,312,153,124,17,587,750,76,59,69,344,298,3,135,13,37,46,825,718,357,165,348,315,214,72,887,117,289,353,246,196,141,84,36,427,51,237,48  },
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{ 101,0,9,35,68,154,252,39,65,28,364,124,166,100,149,336,158,289,346,439,429,419,67,55,114,570,694,30,16,265,24,109,484,88,1,329,69,194,404,637,49,189,389,547,133,398,703,826,671,283,22,168,610,175,212,190,7,83,345,103,64,14,768,399,71,274,333,344,230,95,799,50,21,706,36,722,677,420,10,185,962,51,23,18,553,140,254,159,125,967,535,676,46,48,310,2,86,96,952,264,13,12,169,382,5,596,108,323,705,782,251,118,208,857,702,756,562,865,438,218,60,267,131,237,37,755,105,272  },
{ 57,14,4,236,231,59,369,361,300,585,342,51,23,719,401,13,38,176,46,202,62,402,3,56,210,54,12,2,412,803,381,457,215,11,507,128,40,757,555,77,514,961,32,730,629,322,161,328,37,162,33,133,283,108,129,21,211,34,102,494,17,152,130,29,99,139,153,52,527,472,181,79,123,475,229,6,497,899,453,240,758,194,205,184,188,183,177,0,136,377,305,134,155,248,165,157,425,290,440,714,495,209,739,196,277,269,80,50,556,10,805,64,65,523,503,386,257,141,16,7,5,179,403,84,600,469,318,180  },
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{ 5,21,61,48,32,202,1,70,259,13,58,115,22,23,178,90,0,494,51,12,475,453,182,18,465,403,49,17,76,450,120,142,318,141,137,147,534,455,402,146,132,128,64,31,11,522,260,771,953,922,859,523,420,269,241,221,207,175,121,72,37,6,4,3,2,768,205,179,415,376,362,28,10,237,30,937,702,113,68,16,9,798,247,590,326,197,165,626,344,279,347,878,125,195,955,933,928,868,854,851,821,815,795,780,765,727,678,668,657,576,562,540,503,502,493,488,482,430,423,411,365,288,285,281,273,118,87,65  },
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{ 5,2,50,58,171,186,46,29,14,52,45,38,61,155,17,218,1,281,334,151,227,400,48,487,502,36,54,760,67,133,103,114,21,96,328,236,366,243,80,552,209,83,311,828,27,745,160,920,19,24,766,32,6,108,832,65,12,223,106,514,3,433,70,787,842,99,28,549,113,112,834,540,361,163,26,37,536,516,496,137,765,75,480,454,754,532,780,0,430,966,739,22,238,86,474,51,767,283,18,25,583,115,285,587,309,7,73,287,72,255,23,600,412,128,822,807,13,323,315,208,76,119,545,10,956,270,64,16  },
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{ 5,61,29,58,311,2,45,209,80,52,454,227,243,106,17,496,592,869,1,151,255,334,75,667,287,70,738,549,171,48,46,483,663,74,155,14,50,163,207,666,290,6,186,119,32,27,378,21,220,659,263,112,136,84,742,307,833,7,400,780,469,767,62,64,72,513,113,148,262,56,409,270,161,331,315,635,425,89,19,38,495,631,3,76,73,383,887,502,69,66,34,223,128,26,240,54,86,306,87,491,96,67,845,408,135,814,37,4,25,445,181,95,294,24,90,226,103,10,405,237,12,297,141,22,655,129,11,16  },
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{ 68,35,16,149,24,71,9,69,0,18,67,118,101,212,65,191,114,230,167,133,124,103,399,140,154,1,50,283,246,398,60,7,64,565,55,695,39,218,336,723,375,302,796,28,108,238,267,705,83,189,330,100,23,486,589,702,562,458,21,443,175,13,361,48,75,345,92,96,22,51,181,237,532,755,46,30,2,115,88,14,10,86,363,650,732,335,12,36,49,54,891,520,217,411,516,141,166,95,412,394,641,180,37,5,906,478,447,223,251,247,264,433,252,389,146,480,98,596,602,545,830,346,664,309,271,121,364,628  },
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{ 167,118,212,18,16,71,60,24,191,375,411,68,363,146,447,101,199,589,271,562,126,302,647,121,815,9,628,566,273,35,575,664,21,92,55,781,621,1,48,777,478,0,149,936,818,108,520,150,354,154,446,847,463,124,346,132,264,98,107,7,65,522,156,28,759,13,22,23,39,49,932,727,882,5,14,223,32,640,608,467,100,51,604,125,695,10,69,724,806,246,221,50,140,195,517,67,252,96,768,279,293,31,360,848,88,166,105,691,95,682,674,46,535,103,2,175,649,109,159,598,458,265,329,364,914,12,653,33  },
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{ 4,11,361,300,77,56,377,368,14,59,40,161,51,128,33,200,210,23,378,27,54,495,102,554,38,494,453,17,21,12,202,80,444,108,53,757,37,46,78,13,245,457,342,390,139,133,123,386,84,523,32,605,196,862,527,736,803,99,73,57,19,630,561,475,3,542,509,421,317,250,181,136,111,277,269,450,197,472,183,48,26,485,730,297,62,714,402,381,403,391,880,122,719,341,318,306,145,25,5,514,256,61,899,546,106,90,50,34,383,833,236,775,497,165,129,85,401,366,184,469,436,838,358,328,316,291,275,241  },
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{ 15,77,13,1,0,102,23,33,2,4,51,5,10,291,7,9,3,450,6,217,117,120,177,317,341,260,11,12,817,342,365,115,8,134,21,153,180,16,18,22,349,40,165,82,14,64,141,453,372,31,457,523,901,196,197,326,275,352,210,961,719,730,28,304,475,403,569,44,128,32,899,93,59,269,401,24,17,49,752,98,318,110,36,629,216,30,386,125,95,494,90,137,48,351,308,116,111,57,139,37,86,99,498,65,615,247,482,144,39,237,221,20,96,19,244,421,300,758,203,670,194,509,38,854,402,873,437,391  },
{ 15,23,13,77,141,260,137,120,51,202,180,115,1,365,217,0,341,450,269,291,317,318,5,197,128,21,9,177,373,351,110,352,165,2,12,523,7,64,349,326,10,48,36,901,32,33,22,403,854,82,90,96,4,922,16,37,28,18,752,457,40,386,244,372,102,494,6,308,8,160,86,24,30,14,401,49,661,817,453,719,421,402,11,704,961,475,237,873,342,55,3,39,730,391,59,196,93,221,117,143,216,615,898,44,498,275,253,210,304,35,285,95,125,31,98,17,139,509,72,153,811,482,89,83,144,899,99,576  },
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{ 152,452,497,59,216,4,269,188,77,11,79,339,128,529,94,471,318,141,202,588,32,76,377,177,678,33,111,291,349,90,5,102,21,137,51,72,12,179,542,38,99,64,257,184,37,1,245,217,460,196,48,372,115,947,148,45,402,474,40,89,342,210,17,352,205,288,3,153,769,13,117,10,2,134,292,54,275,304,139,875,498,431,23,405,241,403,247,317,569,229,401,453,494,285,358,180,197,86,300,57,0,476,961,6,954,308,36,143,524,165,277,475,316,597,14,95,237,15,7,221,341,58,157,735,129,266,214,421  },
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{ 77,13,23,51,177,102,33,115,59,4,40,0,141,128,90,210,202,137,64,22,269,291,217,10,196,28,153,117,318,7,49,2,14,216,134,18,180,16,6,11,9,24,403,1,275,197,3,95,36,86,125,165,247,342,31,352,494,19,32,402,12,139,453,317,20,237,98,65,15,349,44,475,26,285,17,30,120,111,57,93,21,372,105,27,25,719,194,457,341,203,304,386,260,391,730,116,421,365,35,29,5,99,326,123,498,208,39,569,509,244,288,752,450,143,678,144,110,523,401,308,82,214,300,351,43,37,48,164  },
{ 1,2,22,50,67,14,36,5,46,28,103,12,0,38,83,114,65,168,194,7,69,133,86,95,24,49,218,29,54,21,55,96,109,160,51,10,584,16,128,6,9,23,48,158,18,75,756,37,35,105,169,32,389,289,159,323,238,181,52,244,202,13,503,646,164,137,532,141,239,115,361,480,185,64,17,143,789,283,124,708,253,505,946,597,3,717,45,776,58,170,108,269,70,735,312,874,285,610,68,782,189,318,424,71,531,31,308,237,320,171,4,892,72,402,99,328,220,418,251,420,394,19,180,577,487,401,347,344  },
{ 17,106,119,378,742,255,306,136,207,240,84,383,62,790,80,655,61,45,5,56,311,3,209,504,440,667,76,151,32,58,263,483,179,29,2,833,292,548,214,123,129,425,186,454,128,243,205,738,445,64,21,245,148,52,38,14,26,249,57,27,328,19,90,6,4,555,11,34,59,54,162,202,184,507,469,141,592,229,48,215,887,710,152,73,86,40,161,72,618,460,266,257,491,77,358,211,227,287,25,869,183,318,297,50,290,495,10,216,130,614,155,1,476,177,137,361,12,315,37,112,33,22,46,95,113,269,194,171  },
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{ 77,33,102,117,134,153,196,291,13,51,15,23,82,64,40,202,128,120,0,141,260,351,450,22,4,95,59,137,269,342,177,386,318,326,11,115,10,210,65,373,86,180,217,49,403,1,165,275,28,18,453,57,36,125,98,352,494,523,139,197,14,31,854,475,2,194,216,9,7,817,21,719,93,6,730,24,457,237,90,12,116,16,44,349,110,3,5,402,99,961,317,114,372,19,48,32,285,105,96,17,365,341,300,143,8,203,401,247,164,108,421,25,752,144,26,30,20,391,39,111,304,109,758,50,221,208,37,289  },
{ 11,40,33,51,542,328,13,117,38,14,23,139,153,134,54,102,111,12,485,377,775,37,99,403,231,277,401,719,369,3,475,453,514,4,629,308,211,880,457,291,305,89,266,152,130,2,57,196,961,6,488,215,5,176,59,555,471,313,72,300,477,183,62,184,79,0,507,248,115,21,670,339,249,548,361,1,165,292,29,197,229,77,556,474,236,386,421,157,413,188,452,17,758,41,162,391,449,587,32,46,123,428,509,52,247,569,136,899,757,523,210,753,155,129,76,50,237,64,730,720,476,383,312,440,275,90,45,342  },
{ 77,64,141,202,33,102,128,153,2,117,269,6,23,318,1,13,0,134,137,51,5,180,3,196,10,7,40,165,15,14,352,197,86,291,237,115,403,95,17,177,22,217,36,139,210,9,120,19,125,342,494,275,82,475,457,49,453,16,12,31,4,65,21,402,11,143,260,194,110,93,450,25,28,351,317,111,498,326,27,18,349,752,44,341,59,164,386,26,285,116,365,98,719,208,32,391,300,509,401,523,99,20,24,38,114,244,373,730,55,48,901,372,203,312,961,8,277,160,678,304,34,37,57,854,56,546,29,144  },
{ 15,4,93,5,13,21,11,1,23,32,110,141,64,82,180,2,33,40,3,98,352,120,6,10,0,12,77,7,341,197,37,51,102,351,269,854,95,17,202,31,9,752,901,44,165,117,48,318,153,291,134,137,115,365,237,196,372,59,498,260,349,450,14,128,90,36,317,244,899,22,342,922,437,125,143,873,453,16,160,72,105,482,179,817,19,89,401,457,57,661,403,523,177,164,45,308,864,373,253,245,8,898,49,421,569,223,76,719,28,61,18,247,139,56,96,27,490,210,468,111,494,475,144,38,961,391,304,25  },
{ 1,2,50,46,14,67,103,38,24,83,133,29,52,96,75,28,114,5,36,238,65,54,108,171,70,0,58,18,69,181,160,532,236,7,22,412,433,754,283,55,163,220,480,361,487,124,12,223,545,45,328,394,21,398,16,155,9,366,48,35,956,6,154,87,323,646,309,514,112,186,822,137,17,109,149,418,745,175,547,86,37,285,68,800,866,10,429,732,516,25,208,302,51,32,118,334,281,99,531,71,61,194,537,458,23,891,389,19,151,675,409,336,128,168,13,400,307,95,262,832,227,49,273,420,3,115,484,64  },
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{ 7,2,14,87,46,52,278,92,16,140,75,29,135,294,262,70,38,35,172,171,409,24,60,58,69,5,97,112,66,314,1,163,571,71,50,461,155,267,232,330,18,220,54,334,357,126,380,307,21,74,12,230,48,309,186,675,32,37,298,331,226,246,151,45,774,107,64,337,25,324,6,67,606,189,622,20,448,150,43,61,0,400,22,849,287,10,68,9,86,563,28,95,227,583,192,394,620,103,36,764,572,108,128,335,83,55,587,550,13,145,600,549,536,65,141,852,366,49,415,90,26,236,526,950,17,4,181,72  },
{ 13,23,51,115,2,33,77,0,1,10,4,7,217,5,9,141,102,6,3,180,11,40,317,22,15,64,14,197,352,202,16,12,341,269,365,165,18,318,177,17,59,153,453,196,752,291,32,117,308,237,125,403,31,128,8,36,401,24,28,349,372,49,498,137,475,247,95,304,143,569,901,21,98,468,457,134,44,139,19,90,421,86,210,120,386,629,93,37,116,482,494,57,110,873,342,55,961,275,111,391,546,35,509,244,203,30,27,99,29,437,48,20,260,65,719,216,734,25,38,54,450,326,50,351,46,864,105,253  },
{ 74,145,204,66,138,42,25,6,337,174,525,222,192,29,26,544,746,287,415,632,85,609,135,7,353,280,112,580,87,396,712,355,64,122,81,104,2,45,173,673,416,648,172,43,792,226,52,22,97,651,151,194,70,65,0,19,32,20,715,95,825,348,5,624,233,113,86,635,91,879,294,10,644,235,1,90,500,36,573,560,49,636,243,58,63,21,331,426,61,75,389,27,445,14,69,750,28,289,46,38,17,888,311,312,18,24,140,186,76,283,141,12,874,16,232,278,72,461,707,53,4,526,597,255,665,180,114,881  },
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{ 13,23,77,51,33,141,115,102,0,217,10,2,6,4,7,64,22,1,11,177,180,40,3,14,202,269,9,291,352,15,165,197,17,128,317,153,196,5,318,18,372,117,16,28,59,36,19,137,95,210,237,247,125,49,86,349,341,304,134,365,24,275,12,31,27,453,403,752,25,143,308,26,57,20,901,120,475,44,401,457,29,498,90,139,65,8,391,93,342,494,216,509,164,98,99,35,55,386,244,111,32,45,37,21,260,38,110,56,450,105,39,730,402,523,46,437,82,30,719,569,203,961,873,326,285,194,116,421  },
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{ 17,237,106,62,180,45,136,32,498,64,115,41,255,129,546,752,864,197,21,227,241,490,352,482,57,123,292,350,247,509,449,162,365,468,214,38,23,13,4,476,148,76,437,155,507,141,165,77,3,720,317,290,270,873,211,164,72,153,209,117,5,659,54,48,249,217,341,186,710,33,40,14,12,496,119,11,519,90,183,618,139,179,37,328,579,221,431,248,372,405,130,59,99,400,263,205,425,2,358,349,901,51,177,171,89,428,50,454,304,207,542,1,457,308,734,721,391,316,29,569,94,243,143,339,196,313,128,111  },
{ 1,5,180,15,2,4,0,352,3,13,901,341,7,752,6,141,217,23,365,317,115,197,21,51,165,269,12,11,9,202,31,33,77,569,44,93,318,137,110,120,36,10,22,372,260,498,116,64,32,873,125,48,102,308,8,349,98,482,291,386,401,14,373,326,28,237,37,55,86,134,203,457,391,16,117,177,253,144,509,421,127,153,40,206,403,961,864,468,221,494,437,453,18,17,196,304,143,128,96,854,450,72,247,35,579,89,642,758,82,342,160,629,719,282,811,59,351,922,730,95,638,523,210,546,332,661,49,734  },
{ 141,205,497,216,269,152,588,59,452,128,4,76,352,875,188,77,79,11,94,678,947,339,954,217,471,372,90,529,72,318,247,64,32,89,177,12,288,37,1,304,349,202,5,51,291,33,474,102,111,23,115,21,99,179,864,38,148,377,13,460,431,498,437,316,180,2,961,40,358,542,137,490,405,241,464,317,3,45,54,7,184,196,17,10,402,752,245,342,210,14,873,48,143,285,153,257,197,308,292,0,36,569,769,237,134,482,139,275,165,468,341,629,413,734,86,476,365,6,300,851,117,751,494,401,270,229,453,29  },
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{ 2,1,5,7,6,3,77,0,141,13,180,15,217,64,33,23,102,10,352,14,117,9,11,197,165,40,269,17,291,4,115,134,12,153,341,317,752,372,237,51,349,22,498,202,318,16,457,128,196,36,177,365,32,21,59,19,125,901,342,8,86,120,139,93,45,961,57,95,38,143,509,28,29,391,111,210,27,260,873,244,82,137,18,386,164,37,719,25,48,31,304,49,864,98,402,275,569,110,351,629,253,546,26,41,90,494,50,730,56,523,453,44,54,144,24,99,30,403,678,76,898,450,437,55,954,482,308,277  },
{ 11,40,38,328,542,33,339,313,12,377,157,775,485,99,51,471,41,369,23,37,475,57,54,457,14,117,13,188,305,629,102,403,79,4,139,514,880,961,111,266,719,152,248,474,134,453,401,153,211,342,477,21,2,59,361,89,587,277,94,29,308,196,64,32,413,77,229,210,184,215,402,128,431,381,46,670,5,247,197,165,556,757,386,115,300,50,17,391,803,494,875,490,730,177,162,450,421,275,202,0,6,1,257,76,72,65,48,19,10,129,569,236,130,15,7,555,901,898,588,86,9,543,488,90,452,749,619,507  },
{ 77,102,33,196,40,51,202,23,153,128,117,13,342,64,134,141,4,59,0,269,210,177,22,318,137,403,65,86,10,475,139,453,95,115,28,99,11,165,217,36,180,197,49,402,291,125,1,352,18,15,494,421,194,275,31,300,110,120,57,90,93,12,237,401,317,6,457,14,2,82,24,114,260,9,386,44,285,108,361,98,16,7,21,349,326,216,5,116,730,341,372,19,133,719,203,48,32,391,39,25,143,111,105,67,576,752,670,961,899,308,498,37,351,304,20,30,283,901,523,365,27,244,208,55,3,164,485,8  },
{ 472,34,80,495,250,469,176,389,527,17,14,161,53,231,4,128,56,283,216,106,84,57,27,483,177,59,119,503,436,45,585,297,194,29,378,3,42,62,269,136,26,40,11,2,862,678,619,33,73,236,255,514,719,200,25,6,64,240,179,141,52,102,789,361,618,129,597,5,153,611,349,205,65,245,803,402,210,457,123,383,90,304,667,318,814,504,328,133,130,51,32,48,684,108,714,412,215,13,139,19,95,77,47,275,99,12,311,211,165,1,432,207,322,196,117,61,23,524,152,115,369,183,134,114,573,54,162,46  },
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{ 17,64,62,141,106,136,751,292,129,352,41,38,954,86,476,214,217,128,177,32,237,947,180,162,123,209,710,269,519,247,90,864,157,77,318,99,57,76,59,4,437,40,179,358,11,45,618,119,313,5,304,211,597,148,875,23,249,197,130,95,507,37,54,3,216,457,248,58,210,115,288,12,425,678,186,164,328,72,454,339,245,102,80,498,312,165,372,139,155,2,152,56,33,21,655,243,720,183,207,14,29,241,117,266,290,471,137,84,51,188,305,275,205,449,7,263,48,542,13,270,742,171,752,509,61,317,349,369  },
{ 42,25,235,650,736,65,605,630,233,343,123,256,122,85,26,416,6,389,63,141,249,368,444,194,511,174,544,19,108,597,348,524,138,90,27,183,32,370,304,525,84,56,53,283,789,445,18,78,280,91,130,947,588,619,45,355,17,680,73,4,0,222,112,3,813,119,145,64,678,297,250,80,21,573,523,86,214,216,102,76,11,746,40,33,269,240,29,289,624,177,323,450,57,24,561,77,152,114,184,74,287,28,396,665,648,378,372,137,37,5,390,106,70,22,847,51,49,349,874,47,881,23,817,432,337,243,153,124  },
{ 184,229,152,432,266,452,57,497,381,619,17,313,471,257,59,129,369,339,4,12,205,99,157,77,3,5,45,128,123,106,62,202,162,32,21,216,40,136,11,188,119,249,402,349,2,403,14,37,38,54,64,291,618,524,102,475,76,177,80,90,214,33,79,141,453,23,210,111,245,372,137,27,318,269,217,494,775,86,94,139,10,1,19,115,51,401,56,769,183,361,84,529,474,277,757,72,48,880,6,247,29,209,710,179,377,89,41,292,285,328,13,588,180,342,130,556,36,477,308,275,460,378,61,197,196,0,165,421  },
{ 137,202,160,131,860,567,318,36,295,141,843,39,800,93,30,105,187,224,276,201,261,943,964,98,49,269,219,851,116,9,22,473,1,352,203,127,822,100,206,699,144,268,662,244,253,10,717,535,332,120,44,258,143,31,64,450,704,96,859,190,180,115,55,365,531,326,95,217,28,110,564,752,86,373,284,228,317,21,77,341,13,48,434,221,197,51,911,940,159,23,384,533,260,494,559,935,291,901,88,109,574,282,128,442,367,308,959,617,5,83,489,299,251,728,170,164,165,177,492,406,926,417,293,401,349,871,125,968  },
{ 125,64,493,0,49,165,35,293,55,93,18,98,9,325,68,10,279,137,31,48,453,389,194,197,147,13,788,14,132,95,107,77,391,371,342,174,61,43,581,105,28,22,5,259,319,104,758,671,590,128,44,32,20,767,761,457,146,121,725,465,198,126,757,289,116,100,23,21,110,763,612,12,663,199,142,120,102,101,7,427,4,356,37,941,963,867,848,498,156,88,86,58,51,33,690,558,376,180,2,864,163,955,70,623,804,422,657,202,1,40,534,90,649,470,798,522,392,352,945,502,386,359,237,221,203,177,159,144  },
{ 15,33,4,77,13,102,23,40,32,5,11,349,51,177,21,141,117,93,202,59,110,153,64,291,318,196,31,217,269,115,10,180,82,137,1,8,44,3,98,125,134,0,165,22,12,128,351,17,95,116,2,304,120,139,403,457,210,197,49,341,453,144,372,450,494,86,48,352,386,523,36,90,719,898,6,275,30,365,57,730,28,9,317,247,326,854,76,373,475,7,72,37,421,817,638,901,401,111,961,342,899,216,402,277,260,18,237,758,569,203,99,629,437,535,39,61,16,96,752,14,300,208,922,704,105,83,308,143  },
{ 110,854,253,811,352,141,951,661,244,642,180,752,143,498,384,269,559,317,922,10,911,160,351,533,365,373,206,902,638,873,332,261,345,260,137,717,116,843,31,417,120,44,959,531,217,341,535,201,125,36,699,860,82,55,564,434,926,318,268,940,197,901,164,574,864,276,251,824,295,876,127,450,64,617,943,93,258,776,15,282,326,165,546,817,855,851,203,96,187,144,728,83,1,372,601,219,224,762,237,284,509,21,170,169,499,98,391,479,115,768,482,473,406,86,898,662,349,48,202,131,51,5,0,896,871,401,238,228  },
{ 2,29,70,75,220,52,112,331,145,1,163,26,74,324,6,69,58,307,19,409,278,287,38,226,46,223,394,87,25,294,606,50,66,14,632,135,583,151,42,67,45,27,396,357,171,380,675,138,5,21,113,267,262,97,24,7,309,764,635,53,537,222,103,48,335,500,83,32,122,16,550,186,96,17,73,334,849,155,189,644,852,802,37,61,54,64,571,140,35,12,582,651,461,486,853,108,36,80,18,133,451,315,624,65,337,785,573,366,445,72,86,774,92,89,297,400,10,114,95,416,587,648,462,172,71,600,820,238  },
{ 23,13,77,51,115,177,64,141,33,102,4,217,202,40,128,269,291,59,0,180,10,2,6,7,318,11,196,14,137,90,32,22,95,153,352,210,9,1,117,15,165,16,197,49,3,125,86,237,349,18,403,216,19,17,247,21,317,304,342,24,341,134,475,453,12,275,25,36,28,20,98,494,372,57,31,93,65,44,110,27,26,120,139,365,752,111,37,35,326,164,116,402,901,260,457,30,288,421,105,56,498,29,144,391,82,203,5,401,308,285,719,386,99,143,48,39,351,55,194,437,312,450,96,523,76,509,244,316  },
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{ 57,313,471,99,369,12,339,157,266,152,38,475,328,453,775,37,403,401,514,40,188,342,139,77,11,59,377,361,229,474,33,4,51,880,277,54,3,211,14,102,62,381,23,111,162,196,130,529,556,305,757,275,128,79,115,629,13,402,421,507,308,485,210,129,123,184,177,494,41,477,153,488,117,542,452,248,300,216,202,236,134,94,670,431,89,64,17,183,440,569,136,555,72,76,734,432,457,543,961,257,215,291,304,10,413,15,205,548,90,56,2,21,46,165,318,247,349,197,86,32,0,283,412,141,36,828,386,82  },
{ 16,24,35,60,140,71,92,7,14,230,189,108,18,69,46,150,388,246,278,2,172,68,1,451,38,330,135,126,236,309,149,443,50,267,121,565,67,582,21,75,48,462,52,563,594,314,29,399,66,191,877,103,572,55,232,366,97,696,357,380,733,167,83,220,517,5,28,674,74,12,65,0,54,9,118,262,335,146,516,32,37,653,915,22,36,133,251,96,324,87,273,394,64,199,723,223,107,10,486,458,711,13,6,95,163,571,86,726,448,212,641,192,345,70,181,132,23,49,114,550,98,20,271,606,298,633,99,603  },
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{ 15,1,2,13,0,5,23,7,4,3,6,51,9,217,77,341,115,10,8,11,33,349,12,317,291,180,177,14,102,16,365,120,22,901,304,165,457,21,372,260,197,32,18,40,403,453,31,202,82,961,719,475,28,247,523,117,450,64,93,141,730,110,30,352,351,752,569,44,401,153,17,386,196,59,308,24,134,36,854,494,318,899,48,137,342,326,125,629,90,49,128,437,37,817,95,275,922,421,498,758,98,210,111,203,99,237,391,116,216,57,482,144,373,39,35,20,19,468,139,615,55,221,288,898,873,509,244,86  },
{ 2,1,14,5,50,48,46,290,21,45,29,32,263,155,207,52,38,425,171,76,408,72,449,17,292,227,89,58,513,400,428,119,476,7,61,54,67,720,75,241,243,186,502,655,69,221,36,148,24,96,6,306,3,214,106,37,0,103,223,10,179,281,16,83,350,64,90,129,430,464,181,663,666,22,413,405,18,240,710,84,262,790,123,431,28,12,741,163,115,460,255,536,56,128,35,334,141,9,220,65,205,51,86,659,99,249,23,541,95,245,618,209,519,202,70,592,270,237,528,62,27,217,133,4,394,137,114,675  },
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{ 51,23,13,453,403,12,475,115,4,15,165,202,523,719,21,457,386,99,308,37,401,2,730,5,197,32,494,0,33,1,120,450,10,59,102,128,17,14,117,3,961,77,153,9,217,569,11,196,134,899,421,40,318,391,247,90,6,629,64,7,16,57,210,48,341,177,141,269,38,260,402,180,22,468,29,27,758,317,291,817,25,19,72,18,56,361,326,133,304,54,221,757,236,34,26,288,300,275,670,365,514,509,125,237,36,65,139,137,108,45,76,52,28,498,351,801,82,805,576,114,89,61,352,41,615,24,8,854  },
{ 120,13,23,141,77,51,260,217,202,326,1,137,291,269,93,102,82,21,203,450,351,15,180,110,165,318,352,5,128,177,373,48,854,197,64,922,523,317,96,36,349,32,0,386,372,144,33,2,9,125,752,115,59,12,210,7,457,16,817,90,403,244,367,14,898,237,160,28,35,342,719,6,275,10,18,494,304,37,30,341,50,39,24,498,730,365,391,22,473,901,4,86,223,285,247,116,31,704,453,678,83,221,661,216,44,69,61,615,201,421,65,402,8,475,268,401,11,468,49,29,98,88,899,300,242,68,3,418  },
{ 1,5,22,12,0,2,36,21,28,48,10,14,86,32,54,50,37,7,49,9,23,65,51,55,202,96,95,13,24,208,128,3,137,323,67,17,6,99,4,16,168,18,38,194,83,115,114,281,58,45,64,318,141,745,402,46,269,31,160,480,77,103,503,105,11,403,164,69,35,218,181,72,133,29,822,433,735,430,75,180,223,89,109,584,244,341,197,361,289,165,657,169,401,239,757,177,389,98,124,217,851,238,159,33,158,956,30,59,143,70,102,39,308,44,494,754,40,253,90,155,61,766,163,540,221,76,270,756  },
{ 219,127,98,258,23,308,301,51,910,401,276,616,284,170,395,293,105,165,22,13,327,242,512,125,201,944,115,900,374,320,109,924,964,763,272,239,567,28,860,629,391,131,116,386,55,197,935,453,843,341,9,943,743,365,506,206,457,261,758,295,36,180,670,31,95,237,538,535,662,44,224,456,185,558,332,64,911,479,0,143,169,569,492,634,10,841,317,421,867,338,282,253,49,144,685,740,384,110,901,468,187,734,719,86,417,844,509,268,12,564,141,286,713,762,918,475,299,120,1,578,164,137,159,403,870,168,551,498  },
{ 64,180,237,5,80,165,61,58,498,250,297,197,186,2,752,864,34,445,95,869,881,17,311,391,231,115,29,151,546,549,3,312,247,483,153,469,45,27,22,365,334,73,26,136,933,62,56,495,32,52,243,215,21,90,472,592,396,509,288,651,48,738,106,53,490,482,161,211,11,316,287,177,13,369,635,378,141,86,262,667,119,663,216,128,179,40,19,209,50,164,719,457,145,23,10,352,176,241,196,527,666,171,833,269,383,125,758,14,46,70,341,507,317,873,579,464,255,400,37,875,405,210,117,33,143,331,84,6  },
{ 77,13,102,23,64,33,141,2,115,51,1,0,10,7,177,217,6,269,180,40,3,14,202,128,22,15,318,291,196,5,197,165,153,9,117,352,210,4,237,95,17,134,16,11,125,137,86,18,317,139,12,31,93,59,28,36,49,341,24,275,304,19,349,365,110,44,342,143,403,27,120,29,719,752,457,498,164,372,111,45,203,453,82,25,569,391,8,494,216,144,98,21,247,386,475,26,401,402,30,312,37,99,57,65,20,901,38,678,244,116,326,260,56,308,450,32,35,509,300,34,961,597,194,730,48,629,55,351  },
{ 15,120,450,51,23,13,202,523,153,196,260,457,719,386,326,4,730,128,318,141,21,11,64,403,453,33,77,32,475,269,95,5,494,125,102,165,48,12,98,1,115,2,401,117,116,10,0,180,40,197,817,7,9,308,99,899,3,352,137,90,16,37,6,18,14,237,22,17,59,217,421,402,134,8,291,49,31,961,82,28,177,670,341,351,342,247,61,758,221,194,19,391,30,317,44,93,214,365,24,57,27,20,275,25,241,216,312,285,29,288,65,576,349,629,70,72,26,39,304,498,36,96,569,123,210,46,289,854  },
{ 2,5,1,29,45,14,58,207,263,425,52,32,46,76,186,72,292,50,7,61,476,655,408,227,48,38,155,21,720,89,17,75,243,119,6,449,171,148,306,70,241,163,106,334,214,592,54,400,36,179,90,64,790,663,24,666,84,3,16,67,69,240,10,464,56,405,496,128,0,710,74,86,270,129,22,290,460,519,255,209,220,18,141,428,223,123,659,205,96,65,19,513,83,37,4,12,27,25,112,103,115,358,66,23,9,202,95,262,249,221,51,151,28,26,767,59,35,77,350,87,137,780,245,40,409,99,237,618  },
{ 15,4,13,11,5,23,21,32,1,40,141,3,33,2,180,17,197,64,12,269,31,352,44,117,165,102,202,120,37,318,153,0,6,137,51,10,196,341,134,22,7,49,77,752,59,217,128,48,260,203,125,237,901,82,93,317,115,365,498,90,14,110,342,111,450,95,177,873,72,326,61,8,494,244,457,57,45,19,36,210,139,386,96,144,56,89,509,143,98,76,372,275,719,27,9,160,403,94,351,349,546,854,704,678,817,391,947,253,453,304,99,569,864,308,401,247,29,70,216,758,717,670,475,474,961,116,523,221  },
{ 214,76,5,129,710,249,618,123,45,460,2,257,17,179,769,205,245,519,207,61,184,106,162,29,209,90,119,32,1,58,6,14,255,292,183,128,77,229,64,21,141,3,655,48,27,38,52,19,263,57,59,4,40,497,151,25,202,152,464,72,7,26,80,99,102,306,311,269,33,115,288,130,318,524,86,54,177,790,62,358,50,243,452,137,46,10,84,186,454,0,425,51,12,148,619,11,210,56,23,556,22,240,112,266,402,36,217,216,37,432,476,136,227,65,70,403,738,155,237,95,111,194,381,139,241,317,180,13  },
{ 51,23,141,1,202,13,120,21,326,15,269,137,180,165,318,197,352,5,128,48,260,2,77,0,217,12,33,102,7,403,450,203,93,9,32,110,386,115,16,14,64,6,36,4,82,523,373,457,125,18,494,237,291,351,24,342,196,96,37,453,475,817,3,752,391,177,244,615,50,144,28,854,730,210,35,719,99,30,8,317,341,401,160,31,10,44,901,86,221,98,421,22,349,402,576,365,116,922,153,308,39,704,40,72,20,285,17,59,498,372,367,393,661,49,899,67,95,551,70,55,90,275,29,247,89,83,65,69  },
{ 7,135,2,172,97,87,66,29,52,14,112,70,58,232,337,92,46,226,74,43,262,192,331,461,20,409,16,307,5,294,107,155,334,186,171,278,140,38,151,32,849,324,415,35,75,21,25,45,609,24,227,6,145,1,298,222,60,448,61,64,620,353,387,126,37,86,69,287,549,356,173,48,400,330,644,10,314,583,18,12,22,113,220,526,54,128,359,49,853,36,95,0,76,525,163,67,568,50,65,872,28,104,72,243,138,90,137,587,71,357,4,141,17,246,544,26,230,888,177,194,380,122,474,311,315,635,83,631  },
{ 574,187,926,860,384,258,531,434,269,110,160,244,141,253,116,871,533,940,261,717,699,959,902,219,661,224,201,373,143,36,911,352,137,260,268,31,851,617,817,728,10,318,523,180,206,295,332,144,811,489,44,843,922,64,251,662,816,120,450,55,127,93,276,855,535,839,98,131,752,951,284,559,824,164,406,642,854,203,1,864,202,317,237,228,365,345,776,498,326,567,442,197,125,282,341,367,96,21,217,417,13,943,86,351,83,679,115,908,564,954,473,82,800,896,165,968,23,128,35,669,48,5,22,170,901,873,169,385  },
{ 354,156,296,586,1,98,850,163,223,698,379,291,64,44,31,937,48,340,96,349,182,125,237,120,658,77,284,39,30,367,23,385,221,195,293,18,202,144,105,774,128,771,687,541,342,197,116,49,371,121,118,93,5,626,360,16,692,591,453,421,386,352,318,242,153,117,36,10,795,759,260,141,463,372,326,102,87,33,697,11,4,931,446,13,35,948,103,958,899,827,781,752,664,638,558,551,497,475,457,415,304,269,217,205,201,179,166,140,131,127,126,113,107,100,92,89,88,72,55,37,24,883,203,70,21,7,914,846  },
{ 250,34,472,80,495,483,194,469,141,176,17,64,53,161,33,814,4,667,527,73,27,231,84,56,833,269,14,102,297,585,283,503,59,597,119,106,77,862,255,128,789,11,90,153,209,389,95,887,57,76,3,240,58,23,678,61,236,40,202,134,113,117,151,51,123,304,342,136,369,137,22,237,86,65,45,32,62,445,412,311,200,573,129,436,803,328,19,10,611,196,177,133,491,214,514,72,36,947,26,5,52,139,402,378,318,504,114,0,216,180,287,322,13,381,396,358,629,475,285,46,28,2,383,179,130,112,738,247  },
{ 97,140,66,172,7,192,314,81,92,426,74,232,298,462,501,43,508,330,69,135,279,6,230,189,24,48,21,885,104,14,448,861,38,712,126,173,715,572,60,563,246,267,16,91,633,423,71,526,52,36,357,29,362,387,18,204,63,443,32,568,324,681,879,441,138,107,67,22,20,0,150,517,85,636,607,12,825,5,893,2,174,278,65,37,149,28,726,86,87,35,779,380,560,42,125,565,95,750,83,124,46,1,49,370,251,653,77,64,877,25,4,10,221,54,33,61,672,40,23,451,98,102,31,9,51,120,348,915  },
{ 44,31,116,144,268,434,489,367,918,492,384,948,393,127,98,9,940,22,206,105,203,0,855,332,49,93,395,959,28,456,617,911,293,137,1,299,39,125,282,202,51,141,473,55,963,120,417,326,23,95,159,21,599,109,276,730,242,13,36,10,131,8,272,284,253,551,219,30,318,523,2,352,165,512,403,269,18,64,5,7,899,244,16,301,616,450,158,115,12,170,559,935,160,924,143,260,791,386,86,692,201,421,128,457,24,719,728,499,373,37,261,916,110,197,578,48,951,239,286,576,811,494,308,35,96,564,14,498  },
{ 202,128,141,3,51,64,15,269,5,120,33,2,102,13,403,318,1,23,196,197,153,10,165,17,0,137,82,6,110,117,180,260,453,93,352,12,475,14,125,7,351,450,494,22,11,523,457,402,31,326,77,342,86,99,386,237,9,32,36,21,19,4,134,44,27,203,18,730,37,115,8,373,95,817,421,719,40,291,139,401,49,143,341,98,285,57,111,116,25,961,498,28,391,38,854,317,144,26,752,56,16,217,308,65,277,899,365,898,509,59,45,79,922,48,72,30,41,678,757,569,24,177,615,34,29,864,873,244  },
{ 127,98,31,105,395,293,28,9,512,299,22,44,0,49,763,599,242,685,109,284,320,159,276,95,1,116,456,870,55,286,900,125,492,36,713,506,158,51,23,935,393,24,327,16,35,239,623,144,201,13,2,65,272,21,39,7,338,12,168,141,18,202,424,5,268,14,170,347,137,86,489,841,68,367,918,301,269,64,374,185,124,165,48,567,479,221,403,662,37,963,308,131,30,401,6,318,67,616,948,115,83,197,237,434,160,295,96,169,128,421,203,154,10,143,538,194,916,352,101,371,253,928,910,261,180,164,244,737  },
{ 7,24,97,124,2,69,66,1,14,92,18,6,140,67,20,71,43,16,21,118,29,23,149,52,150,51,32,81,5,429,189,48,36,484,172,273,38,60,65,28,22,25,74,83,46,91,13,0,298,314,12,420,610,154,42,108,398,701,467,135,35,505,173,221,576,104,421,168,336,423,37,232,403,302,143,185,847,267,137,115,10,703,158,251,308,508,330,75,68,49,86,61,26,253,202,230,107,401,64,799,388,128,99,443,102,72,607,165,426,453,570,387,547,326,105,125,85,109,517,386,95,138,615,87,126,192,671,63  },
{ 1,349,64,303,284,442,622,202,691,141,652,447,682,67,717,917,340,237,154,352,269,919,752,547,429,411,197,293,260,44,335,180,160,863,238,201,191,167,318,9,751,730,98,453,33,418,956,475,360,69,77,765,217,140,96,31,153,120,87,724,664,389,323,268,206,116,922,888,102,948,854,842,805,196,127,399,586,658,873,851,850,796,781,695,657,385,330,244,149,137,0,662,367,351,82,947,774,551,498,363,225,146,125,35,212,909,899,848,807,776,772,770,759,726,604,576,541,523,480,450,403,393,372,332,329,327,301,296  },
{ 1,2,141,15,7,10,180,3,5,6,64,0,13,197,77,269,33,11,352,165,9,102,14,4,349,12,291,341,23,237,134,752,22,120,117,202,498,128,36,217,318,115,51,17,317,40,153,93,365,110,342,961,82,31,864,901,125,137,59,143,196,372,16,86,21,260,111,44,873,32,49,947,457,95,57,244,326,8,351,37,28,569,954,203,19,373,678,18,139,450,29,30,48,386,72,27,79,45,854,391,144,509,55,546,94,99,164,98,116,20,76,83,253,56,898,922,38,25,24,39,61,177,210,719,58,523,494,402  },
{ 139,99,12,453,196,277,775,475,40,401,215,33,51,111,130,23,11,77,313,211,14,38,266,129,474,477,37,328,339,369,153,719,162,152,54,231,3,308,57,700,117,403,305,188,629,102,880,457,569,183,62,514,229,961,157,556,555,115,176,41,177,471,248,13,507,670,342,4,542,257,17,123,291,236,72,79,304,134,452,89,34,184,90,2,59,76,383,488,94,421,80,32,361,128,440,377,202,119,56,316,21,494,46,165,757,288,45,543,197,528,730,585,249,431,136,5,0,432,52,210,402,120,485,29,1,529,548,536  },
{ 77,102,33,141,128,202,23,64,51,59,269,153,4,40,115,177,13,196,318,117,291,210,0,137,134,403,22,90,217,342,10,95,180,494,18,49,11,1,475,65,32,6,16,352,216,36,15,139,86,7,194,24,402,275,14,28,9,2,21,19,125,453,165,20,25,120,57,237,3,260,26,341,317,114,349,197,326,214,48,31,12,5,82,17,300,111,421,308,365,523,450,98,110,93,247,304,351,457,285,498,39,27,312,123,44,152,99,401,37,615,373,108,372,170,143,116,68,67,56,96,719,678,361,29,961,205,35,133  },
{ 7,14,2,58,46,16,70,112,87,38,52,135,5,155,29,66,97,294,172,32,20,334,24,92,186,35,128,227,18,171,6,21,107,37,64,75,780,666,400,61,140,43,60,48,220,232,0,23,141,177,1,54,202,307,13,592,461,115,22,77,12,45,50,51,126,163,137,409,10,315,192,270,25,845,69,90,269,76,72,513,28,113,74,210,49,262,243,9,95,89,71,318,402,631,86,884,298,40,431,102,4,275,290,278,17,324,217,19,180,151,36,237,230,67,356,291,352,314,65,403,59,33,26,609,387,226,285,330  },
{ 15,13,1,5,2,23,3,0,365,10,7,4,341,51,11,6,9,115,180,317,14,33,77,12,217,102,40,197,21,153,165,17,64,8,117,141,569,22,901,134,32,16,202,352,37,36,457,291,128,31,269,125,237,18,139,196,44,453,391,177,372,28,349,59,719,93,482,629,86,509,961,318,873,498,99,55,752,386,19,401,210,143,48,137,120,342,50,38,49,29,27,403,24,30,758,111,110,57,475,95,203,730,46,98,260,116,90,45,523,494,326,54,105,72,96,65,546,402,351,242,277,164,67,450,734,253,83,26  },
{ 2,1,75,29,52,14,69,220,67,262,46,38,70,87,103,6,74,24,83,267,25,226,357,366,394,96,26,189,451,112,606,486,135,145,388,324,294,108,335,278,50,66,42,238,163,58,16,331,150,71,19,149,545,222,35,236,18,418,696,133,114,7,218,582,5,36,45,433,516,537,60,380,171,138,641,600,65,550,251,151,21,54,309,603,853,223,181,12,27,287,28,0,739,565,22,17,785,48,86,68,140,461,594,37,97,10,32,423,458,95,160,733,337,583,61,122,307,281,336,64,571,186,273,85,55,774,632,172  },
{ 9,105,18,101,39,557,16,890,1,252,272,100,265,938,21,326,23,51,301,49,0,68,24,60,264,13,35,310,254,159,737,363,167,593,137,127,121,166,98,846,118,827,156,48,202,30,333,31,55,5,411,395,128,329,132,146,578,44,520,512,242,77,731,682,170,320,371,120,71,916,518,450,373,28,821,286,33,447,327,212,354,271,32,195,639,125,7,364,95,704,102,65,616,385,615,36,688,203,64,12,110,523,455,96,141,197,75,910,4,116,836,506,88,165,93,604,404,22,318,931,2,10,260,86,338,817,40,905  },
{ 80,209,667,61,45,17,106,483,255,6,833,151,454,29,5,738,378,2,887,742,112,311,27,119,26,469,495,113,491,161,58,145,396,19,25,84,73,70,315,207,814,76,56,136,42,64,32,1,243,62,52,306,614,287,128,445,14,74,383,53,631,3,90,240,34,141,179,86,297,4,72,148,496,65,250,611,214,138,527,46,194,123,137,186,21,655,95,66,549,50,881,292,592,790,48,87,7,11,129,263,205,122,22,440,361,59,222,573,307,38,202,227,75,269,57,85,10,358,245,644,684,54,200,862,651,425,36,171  },
{ 23,13,51,5,21,115,12,202,15,1,141,32,2,165,0,269,180,197,401,7,4,3,9,457,308,403,453,6,341,37,318,10,719,14,48,120,128,352,33,77,22,137,11,730,217,523,40,386,99,16,260,31,475,569,18,64,450,317,28,237,391,90,17,494,421,365,177,59,125,8,102,72,93,30,629,247,961,24,221,117,44,153,498,758,351,291,196,509,899,402,817,49,304,134,76,89,210,98,326,82,482,45,57,110,38,36,752,901,39,139,468,20,96,372,116,216,19,349,203,288,29,61,95,275,546,670,27,576  },
{ 99,12,453,277,139,474,369,339,51,38,157,196,37,775,401,188,23,475,111,328,11,313,471,153,40,629,266,79,54,4,477,33,102,59,14,57,248,880,152,342,13,457,305,542,117,377,403,514,94,308,115,229,569,488,961,210,300,211,431,41,89,734,361,485,275,670,134,128,184,381,3,72,529,2,556,719,402,64,413,21,15,215,46,177,757,165,77,197,236,32,62,421,155,50,130,17,162,202,5,45,587,52,507,10,183,555,82,247,490,129,588,123,405,148,216,76,141,7,0,1,181,29,432,6,730,90,468,452  },
{ 7,92,232,126,97,298,387,140,107,16,60,246,14,66,35,462,150,441,104,357,314,359,279,330,633,423,380,172,230,199,24,121,38,392,356,71,132,192,451,324,22,146,893,508,493,568,289,65,560,95,0,5,32,74,189,830,2,135,21,173,18,603,64,46,43,707,20,501,52,362,90,214,712,550,877,86,607,28,426,312,48,36,29,10,69,278,12,194,49,37,1,6,672,874,204,81,267,68,526,108,835,259,733,895,388,500,779,649,448,915,61,125,149,443,50,55,54,399,590,70,72,939,572,191,124,711,517,167  },
{ 13,23,318,202,77,177,51,269,33,102,141,115,494,4,90,403,210,153,40,196,117,32,59,128,11,137,342,134,217,291,64,21,12,475,352,31,341,14,2,98,93,10,7,95,700,49,317,275,216,20,19,16,44,22,365,116,6,453,110,247,144,180,96,9,24,17,5,82,0,498,402,349,300,127,48,3,125,57,111,87,28,86,1,203,197,35,25,401,18,165,351,326,139,60,43,26,36,450,873,864,551,473,393,373,372,288,678,576,285,37,523,120,70,65,817,67,752,697,529,421,415,386,304,214,164,152,123,61  },
{ 13,77,2,23,141,6,0,1,217,115,7,3,180,5,10,51,33,14,197,269,352,64,102,177,9,291,15,4,317,40,17,165,22,11,341,202,318,237,196,117,153,349,16,365,28,210,372,752,134,19,18,128,304,498,36,247,12,125,59,139,95,8,275,457,86,31,27,49,21,24,29,391,342,569,509,25,93,45,143,901,137,32,244,403,26,57,38,719,111,873,386,120,44,864,20,37,546,56,494,39,961,164,758,401,30,453,110,475,35,730,98,65,216,437,34,203,41,326,99,402,300,253,82,90,55,46,194,351  },
{ 15,4,110,13,120,93,11,23,5,21,32,1,40,180,10,82,165,2,3,33,197,141,51,37,0,48,901,102,12,31,6,7,125,117,352,77,752,341,144,153,351,196,9,237,64,134,498,143,17,269,457,342,59,202,115,98,365,450,318,22,44,401,291,873,8,244,217,475,57,391,253,14,72,349,854,372,55,36,509,89,898,403,90,719,19,386,697,139,111,546,661,27,260,61,56,177,96,569,482,961,16,638,332,758,494,28,864,148,76,45,241,79,350,308,247,437,421,70,474,559,221,210,41,164,160,137,453,275  },
{ 15,1,13,2,0,23,4,5,3,7,6,51,77,9,341,10,115,291,11,33,217,8,12,102,177,365,317,14,165,16,22,120,349,40,180,197,31,457,901,453,18,21,450,153,961,141,719,260,523,32,44,82,64,117,304,28,93,372,110,17,210,475,59,30,134,352,386,342,569,401,752,275,196,730,90,403,326,202,36,49,629,125,817,216,98,308,247,269,351,24,203,494,899,37,95,111,139,482,758,373,391,19,48,116,237,922,509,57,144,86,137,498,854,421,128,670,873,898,253,437,65,300,55,99,20,704,244,615  },
{ 20,43,198,325,904,104,173,147,234,422,66,97,426,319,861,77,376,712,416,725,427,945,0,7,5,470,450,192,142,32,707,178,330,819,639,38,202,22,500,21,784,583,414,2,324,230,858,61,889,49,315,113,671,81,455,18,392,74,207,232,52,24,329,107,342,33,560,13,140,595,10,715,291,120,102,95,48,1,64,359,693,600,879,16,798,58,312,494,4,14,344,835,764,306,105,526,290,40,23,289,259,90,159,158,884,577,246,37,9,170,204,681,138,29,239,194,112,12,17,31,318,72,28,226,70,397,153,65  },
{ 105,28,0,9,49,301,159,127,512,16,170,623,24,109,35,395,158,98,68,1,65,22,55,31,761,371,713,916,18,293,286,7,242,124,347,95,338,737,327,44,39,21,2,14,272,424,154,36,506,685,23,168,101,125,299,51,12,479,48,13,870,763,374,284,64,385,320,599,5,67,202,71,276,116,131,141,185,137,836,456,175,344,239,37,900,187,30,10,577,538,6,616,289,740,60,518,118,86,169,83,364,912,219,96,50,115,928,128,935,165,318,149,747,221,346,32,114,69,810,254,237,627,269,308,144,393,201,492  },
{ 213,466,689,88,230,435,321,30,699,795,201,831,352,144,217,443,854,530,840,190,539,957,418,1,96,203,382,855,251,100,669,410,335,93,83,748,367,44,662,960,31,934,36,206,141,752,351,317,822,128,731,116,778,120,284,274,131,98,228,927,332,187,69,438,521,800,21,242,160,224,48,372,219,310,137,735,686,557,326,285,237,576,127,922,5,859,269,260,13,494,264,82,523,403,35,244,202,615,166,39,616,551,345,930,180,67,253,921,299,966,2,10,9,258,23,473,365,692,265,197,866,32,276,51,816,617,856,223  },
{ 130,453,196,47,57,4,236,14,59,412,51,711,381,730,153,77,202,108,128,361,23,46,283,402,210,11,300,719,13,117,38,803,200,401,183,78,34,475,54,342,318,27,369,432,275,2,757,133,503,472,12,3,585,134,62,862,161,529,37,328,457,56,390,494,102,73,176,50,440,322,111,670,65,52,377,899,181,629,17,114,33,136,99,266,123,40,514,339,291,53,250,84,177,21,188,216,389,217,386,139,32,961,155,480,162,754,832,714,894,739,383,657,269,152,106,603,543,527,523,497,277,485,838,137,86,64,48,758  },
{ 1,2,14,50,5,38,46,36,22,67,103,0,114,65,29,12,28,218,54,7,133,83,86,96,69,21,75,208,24,6,52,168,194,389,10,128,51,160,55,17,23,48,18,181,238,45,37,32,95,16,283,532,58,137,503,202,49,124,171,361,480,13,735,9,289,109,782,285,3,115,70,756,141,169,484,584,35,244,717,64,402,4,328,220,163,646,158,803,505,19,253,789,164,185,108,25,155,487,236,269,143,946,394,318,610,401,335,105,433,403,851,87,800,223,866,309,420,61,27,180,597,99,366,308,59,754,514,418  },
{ 6,74,26,19,165,453,391,197,14,138,730,29,357,70,51,457,1,50,108,125,500,509,27,145,386,112,366,52,46,235,133,262,13,308,47,331,2,719,78,42,309,75,603,25,223,394,785,23,600,218,38,163,115,114,17,558,34,53,220,128,487,58,236,122,65,130,766,401,498,96,409,307,45,85,66,444,899,73,516,632,64,711,54,630,412,196,5,103,21,180,894,113,221,137,624,241,237,594,773,758,867,629,433,390,475,820,546,12,648,67,32,153,285,606,99,545,745,569,644,324,583,3,181,675,903,283,802,670  },
{ 10,9,30,376,0,68,55,39,18,43,20,49,174,104,88,501,120,342,450,858,28,2,137,523,470,453,197,757,603,37,414,165,31,325,730,729,671,595,455,222,204,77,64,58,22,21,17,13,5,194,110,95,389,318,260,177,128,102,97,33,1,904,725,7,788,568,387,90,54,46,32,14,11,259,98,147,61,817,392,518,961,958,922,899,873,854,819,805,785,739,719,713,661,615,550,534,528,494,477,475,474,465,457,449,386,372,355,351,349,337,298,294,291,289,269,262,247,196,173,171,155,135,122,105,94,56,48,36  },
{ 15,23,13,1,202,0,51,77,5,9,341,141,137,120,4,260,115,2,351,21,128,7,12,450,82,901,197,180,269,318,10,8,11,22,403,32,854,33,165,40,6,18,3,16,37,494,523,457,102,177,28,64,352,453,14,317,922,217,36,365,48,421,401,719,475,291,30,110,59,24,569,817,93,961,308,730,17,752,125,117,898,31,342,153,196,285,44,99,576,86,275,642,49,90,402,39,143,139,98,221,386,244,116,373,55,57,629,144,210,661,349,134,203,859,899,95,498,35,482,372,72,237,253,105,216,96,111,758  },
{ 272,131,105,578,219,159,371,49,616,716,9,224,320,286,737,623,187,910,385,28,258,98,761,127,254,347,916,424,22,109,627,158,713,95,924,239,0,242,836,39,201,31,301,912,944,442,125,170,116,327,293,44,538,688,374,23,55,168,276,36,64,284,51,871,185,395,35,506,221,512,518,202,890,137,101,13,860,169,68,574,479,86,908,10,24,333,16,1,65,144,269,364,308,228,344,141,21,338,567,30,577,165,128,160,747,18,763,124,839,926,299,261,456,268,295,164,662,406,197,67,312,175,7,928,421,685,154,810  },
{ 457,51,13,23,961,719,12,453,629,99,401,57,515,3,4,165,11,45,62,41,14,17,2,569,37,77,33,32,5,0,40,59,1,308,76,115,197,38,72,79,730,21,474,102,7,475,6,54,9,64,403,10,56,775,237,477,202,29,152,188,341,328,90,509,111,89,215,128,880,734,339,247,757,134,386,84,421,317,313,217,129,94,22,318,157,34,130,117,361,210,670,555,369,365,285,269,266,186,181,153,123,24,899,485,120,542,25,391,758,514,468,277,270,243,227,196,180,179,155,148,137,52,50,49,46,18,471,236  },
{ 202,318,5,120,450,494,77,33,102,260,21,1,128,13,165,403,523,23,269,342,12,326,817,32,475,141,402,64,2,17,82,457,180,137,48,730,125,291,197,453,37,93,51,615,922,719,386,210,15,177,854,351,98,7,899,576,275,6,44,25,961,4,196,117,115,285,95,14,217,31,391,352,237,65,38,29,27,20,758,40,10,9,153,194,367,116,110,105,50,49,35,16,139,498,341,61,163,39,30,11,349,293,216,144,108,99,76,58,54,43,0,203,3,134,113,70,959,958,940,933,923,900,855,841,750,725,704,639  },
{ 141,269,352,180,217,202,349,64,160,137,317,318,372,494,752,418,244,954,864,437,753,237,13,341,291,165,717,22,197,115,304,260,365,93,36,21,351,247,120,922,77,82,48,498,32,5,579,144,10,23,342,373,33,854,95,128,0,391,164,143,125,98,482,51,403,28,326,898,386,76,72,1,951,678,638,453,201,86,110,30,457,312,253,221,163,96,44,475,102,901,719,421,196,134,190,166,131,100,88,474,401,203,859,597,521,509,466,459,435,393,321,284,228,108,65,59,40,4,851,576,350,308,288,241,216,214,179,99  },
{ 70,145,29,112,74,26,2,75,287,52,220,226,632,87,294,6,135,307,163,66,19,396,278,138,635,409,25,151,58,113,1,122,331,222,5,97,42,644,324,461,27,849,500,69,651,45,7,172,262,853,337,53,648,573,624,64,334,445,171,21,67,186,32,73,297,46,38,416,14,17,140,80,61,50,436,155,884,223,24,22,85,48,380,852,92,65,86,889,12,315,36,774,571,103,549,37,10,95,243,491,83,16,72,665,227,89,357,394,76,309,35,106,54,675,808,267,474,250,609,71,881,209,133,606,96,232,583,400  },
{ 351,82,317,141,752,898,901,180,352,341,15,365,1,498,217,115,33,253,32,143,10,160,55,0,854,5,197,269,21,77,4,36,137,23,64,2,110,482,169,873,120,244,96,7,89,13,349,86,164,102,72,93,372,148,922,40,16,345,90,531,9,83,437,22,251,35,260,457,546,165,202,6,864,48,291,51,28,719,59,238,18,308,247,128,11,304,117,12,569,237,65,961,817,509,450,535,196,95,125,730,523,468,144,98,49,3,899,661,342,318,373,153,579,734,14,490,116,203,134,559,391,312,130,123,109,84,76,326  },
{ 39,9,310,254,101,252,265,272,100,0,557,30,49,688,455,105,190,166,329,627,159,286,625,709,327,333,18,68,158,404,520,578,131,438,731,16,553,24,98,364,31,676,35,118,593,1,518,48,344,44,167,23,65,21,93,604,829,795,127,60,890,96,88,616,22,363,656,51,242,28,419,716,125,124,846,71,274,36,264,613,13,137,95,116,212,938,109,224,827,411,154,910,160,639,371,664,128,5,374,144,530,395,228,170,219,865,67,10,203,759,121,83,301,382,320,737,55,682,37,647,86,271,793,7,821,115,916,285  },
{ 2,58,29,151,52,186,70,5,549,75,1,112,45,400,61,163,113,227,307,315,311,287,220,46,7,14,155,74,243,87,409,66,27,80,209,631,845,780,69,262,135,48,50,171,767,496,869,454,331,6,491,17,334,278,106,32,19,64,614,21,73,145,26,294,24,592,67,25,38,659,223,16,97,255,172,72,226,502,852,128,37,140,721,666,89,667,290,36,103,324,86,849,267,76,141,54,35,83,65,207,22,148,96,270,12,635,10,4,95,92,738,474,18,445,119,611,425,137,431,263,114,396,663,0,122,133,90,237  },
{ 141,217,269,352,317,180,23,13,21,115,77,349,202,137,51,64,372,165,197,32,365,752,318,291,341,5,237,102,15,177,498,33,48,244,304,128,125,4,864,253,39,30,44,11,247,22,9,0,31,901,308,403,1,717,201,342,49,10,98,16,7,221,95,144,40,88,494,90,12,28,117,93,678,120,68,326,100,203,86,96,468,2,475,206,116,546,457,160,437,8,873,210,127,110,76,65,55,37,418,386,350,72,18,453,223,143,24,153,851,351,260,284,579,576,401,268,482,196,35,421,82,3,402,166,101,954,391,83  },
{ 68,35,101,149,124,154,0,65,9,175,24,398,28,16,189,71,118,429,55,346,67,114,7,345,18,230,399,364,133,14,252,722,39,283,1,547,140,69,108,484,302,694,100,439,103,46,705,83,166,267,389,2,458,92,336,50,212,289,21,246,375,251,419,109,36,520,329,158,22,637,12,60,952,48,265,236,702,596,96,806,30,732,5,826,604,64,194,49,412,701,388,88,420,191,535,264,562,167,886,23,796,168,51,650,238,570,782,868,86,13,218,95,917,768,38,10,32,309,404,706,37,54,221,602,125,159,105,676  },
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{ 88,264,435,100,166,274,772,921,478,382,909,639,438,960,521,96,897,410,30,1,466,190,530,778,265,321,682,691,418,144,724,329,686,39,9,447,93,31,914,131,404,203,44,411,765,335,593,475,795,367,98,625,254,664,120,213,613,403,0,744,539,116,83,656,363,238,5,48,13,576,77,812,805,110,23,21,141,966,69,125,616,829,326,286,201,82,35,520,225,51,821,127,604,285,284,165,260,217,33,36,310,731,340,842,223,102,137,101,615,64,831,252,228,49,10,67,224,557,219,443,692,406,272,268,910,506,197,351  },
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{ 911,617,959,332,206,253,244,141,282,120,110,384,951,143,352,260,269,10,160,373,717,531,811,417,940,55,728,661,533,36,434,450,93,137,559,203,473,498,642,116,180,326,855,261,295,44,268,638,922,854,752,31,499,164,318,351,201,535,144,851,564,341,365,64,8,115,165,197,843,1,217,317,704,864,187,699,567,127,202,873,237,251,22,258,574,824,98,86,968,860,489,23,817,82,125,21,169,509,926,219,13,276,15,601,28,345,9,372,51,901,349,943,871,5,367,291,776,308,131,391,96,523,105,83,386,902,338,35  },
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{ 104,7,97,107,356,560,66,232,707,359,298,568,289,324,712,392,192,38,14,426,173,65,95,64,172,387,22,43,92,32,357,362,214,20,259,526,90,0,330,380,126,246,501,49,5,86,893,74,500,194,874,147,135,612,230,10,204,779,52,2,729,808,550,140,35,835,21,28,314,77,312,60,16,465,132,715,279,423,414,600,885,802,683,18,81,24,36,13,636,861,150,33,178,29,819,519,288,4,31,58,660,448,121,534,12,168,61,48,581,278,70,37,146,102,441,23,46,199,142,6,751,249,76,319,202,189,124,237  },
{ 6,66,1,2,74,67,29,14,24,69,83,135,25,458,52,150,108,451,75,38,103,380,267,278,7,87,26,42,324,36,357,138,602,114,97,19,85,238,594,273,65,149,398,335,172,46,160,204,70,18,711,550,50,16,309,220,71,732,96,696,5,133,603,12,891,86,174,28,280,500,418,467,226,32,22,21,222,189,27,60,124,423,486,547,895,302,733,236,532,388,208,64,63,0,35,17,13,298,95,262,45,906,336,646,582,37,145,194,571,20,531,112,23,58,140,516,484,48,886,218,118,115,99,81,462,429,54,55  },
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{ 127,98,31,44,299,276,284,9,935,293,116,599,49,0,456,201,492,28,39,105,144,371,662,22,159,125,272,137,242,131,737,489,393,567,268,395,51,1,761,578,367,202,158,30,109,918,916,685,219,254,203,616,23,434,36,21,55,141,295,95,13,24,16,187,93,385,128,18,96,948,48,269,763,160,318,64,5,165,86,101,244,326,115,518,35,286,836,261,37,512,7,10,68,327,623,716,384,120,403,253,688,110,333,224,2,890,457,143,100,197,12,386,252,301,320,258,963,310,65,14,237,924,221,170,494,421,83,699  },
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{ 24,7,14,149,71,16,18,108,65,69,28,154,189,35,2,140,124,92,68,150,118,175,429,302,0,66,273,67,336,38,55,97,251,46,60,36,547,1,267,484,22,458,230,29,83,6,9,388,86,650,172,314,95,109,114,52,135,21,64,886,602,74,505,10,232,5,20,12,596,823,705,398,32,103,49,101,420,570,236,531,289,533,50,298,168,169,48,133,462,451,380,23,882,246,283,51,799,13,43,25,185,797,194,847,75,357,278,158,37,439,346,594,330,733,399,423,610,164,192,535,701,104,345,467,143,443,125,137  },
{ 68,0,101,9,212,65,124,35,154,189,69,149,114,230,67,39,252,100,1,336,702,329,16,265,520,83,103,191,264,755,64,589,88,562,28,705,30,24,283,167,118,18,777,732,478,12,21,723,71,166,23,49,175,133,398,335,596,55,664,218,237,429,389,532,818,604,364,50,158,115,484,289,246,352,238,410,141,22,759,419,323,375,345,36,13,10,806,128,51,547,796,269,213,5,48,722,140,247,321,96,565,480,164,180,251,330,803,553,37,676,95,143,202,86,75,490,443,7,936,724,99,2,190,694,346,197,782,917  },
{ 5,2,186,61,29,52,45,58,311,17,171,80,227,209,48,155,1,106,243,496,50,46,334,454,592,21,513,14,502,255,869,666,151,663,262,223,75,207,38,32,270,667,62,6,27,738,659,119,56,3,807,54,780,287,378,84,721,74,220,290,96,163,483,72,263,89,67,549,103,281,136,37,583,76,430,181,536,7,70,408,12,394,64,787,73,675,148,495,469,69,161,400,409,36,833,86,65,34,19,474,587,742,767,221,26,324,128,4,309,115,24,83,306,425,25,22,431,10,241,760,90,141,764,541,133,240,95,383  },
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{ 2,52,29,70,112,7,58,14,75,87,46,220,307,186,171,163,151,1,334,262,135,278,66,5,69,155,294,97,38,140,74,16,45,172,287,549,92,227,400,24,849,226,331,113,61,324,25,48,852,32,35,21,37,6,461,67,409,50,19,12,644,315,267,145,26,243,223,311,27,64,60,54,232,122,71,18,83,17,571,583,189,86,36,853,103,72,65,394,380,587,780,774,309,20,43,22,357,42,96,314,298,128,209,335,536,95,474,767,675,270,337,76,80,89,330,222,0,90,721,290,230,10,137,108,246,126,28,448  },
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{ 2,5,29,45,207,58,61,1,76,292,32,655,263,14,476,52,72,6,119,17,306,70,186,7,106,46,179,214,790,90,148,243,720,38,227,50,240,112,151,710,255,592,84,89,64,48,25,464,75,241,209,21,129,74,155,460,358,3,128,454,496,425,36,77,19,22,141,738,10,115,56,26,86,16,123,66,408,311,27,245,0,249,95,65,205,287,519,290,618,40,24,177,549,171,202,87,4,59,163,307,54,334,237,51,23,62,269,12,102,37,18,449,869,137,80,69,113,28,99,33,67,13,135,180,318,315,769,288  },
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{ 66,74,135,69,6,380,278,267,97,14,2,29,1,75,24,87,324,52,150,38,335,138,357,189,204,172,67,103,25,388,85,7,462,220,83,423,108,550,149,71,603,42,733,571,696,174,26,582,140,36,458,565,16,808,895,802,486,46,238,35,19,70,298,21,18,114,65,226,22,86,60,418,32,251,192,92,64,451,280,273,500,309,95,594,222,501,12,50,5,145,563,398,353,0,889,28,443,48,607,711,641,517,112,262,336,348,37,125,580,596,906,705,622,572,10,160,81,43,63,54,58,133,792,68,620,124,165,294  },
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{ 15,1,196,0,33,13,2,77,5,10,9,102,217,23,7,6,3,12,117,14,4,134,177,153,40,11,457,291,210,275,22,730,16,115,18,165,21,386,341,719,120,82,180,64,197,51,141,523,317,8,569,365,450,202,32,961,372,260,28,349,342,125,352,95,37,31,899,351,17,128,318,269,48,110,49,403,19,93,901,59,475,401,72,326,24,139,36,65,111,61,237,758,494,90,99,30,854,304,817,44,482,137,391,56,509,898,437,25,308,752,98,38,629,247,76,922,421,86,57,373,670,26,253,70,203,221,801,579  },
{ 209,106,17,207,45,255,119,655,5,742,306,378,61,62,136,425,263,80,311,84,240,29,790,2,58,56,186,32,3,383,738,243,454,592,869,76,151,14,179,129,290,123,48,72,440,148,21,52,292,64,90,504,287,667,214,46,1,128,54,408,507,50,476,34,27,833,549,57,38,548,155,227,162,86,241,19,70,152,89,205,6,334,171,26,496,483,112,183,181,141,130,400,249,59,245,266,184,555,663,75,270,358,77,229,361,37,215,95,445,4,297,10,211,25,33,666,519,881,11,257,202,73,710,269,237,40,221,180  },
{ 120,450,260,817,523,15,23,1,51,326,98,13,202,82,125,64,5,351,318,21,31,269,457,32,116,93,115,165,102,77,33,12,95,922,719,30,494,110,44,615,128,48,14,180,141,36,2,730,61,9,137,342,403,899,197,86,49,10,704,551,386,237,8,203,96,83,67,37,7,177,291,352,90,22,18,16,402,196,153,373,179,144,76,39,17,6,961,854,475,898,692,401,241,207,148,105,100,65,50,20,453,349,344,3,217,901,678,341,293,263,247,210,99,88,69,45,40,11,958,801,317,132,126,107,35,24,752,661  },
{ 116,268,492,918,93,206,203,940,23,51,551,417,523,499,473,959,22,421,8,125,791,692,730,120,31,401,949,10,0,13,899,165,44,386,450,260,867,453,64,9,629,115,36,719,559,341,728,170,55,137,599,299,197,615,569,180,457,28,391,141,1,326,685,301,564,479,475,338,506,86,509,105,638,202,95,817,308,242,253,762,244,2,373,801,670,127,901,21,49,870,951,5,558,237,143,269,37,752,239,12,642,922,403,873,7,352,4,758,365,318,128,18,965,456,32,320,221,14,805,512,317,498,961,16,704,98,33,898  },
{ 15,13,165,23,197,4,0,1,180,12,11,117,5,8,82,901,719,341,2,120,51,9,523,260,509,7,3,730,141,386,10,450,351,6,33,752,758,134,115,498,352,961,317,365,153,898,14,899,854,64,217,922,873,22,569,326,93,128,817,31,269,237,291,202,21,110,391,37,801,615,28,318,17,457,44,16,77,18,32,98,99,36,49,30,349,401,453,403,102,38,373,958,35,629,116,40,137,125,55,19,482,203,304,242,86,546,474,96,24,144,65,308,475,139,143,247,210,402,89,54,69,177,196,48,485,661,83,734  },
{ 14,24,69,66,7,108,2,398,267,150,67,97,189,29,149,74,38,71,36,6,83,52,273,388,140,1,135,18,46,172,602,65,28,124,429,302,154,380,336,451,547,16,278,114,732,68,484,324,75,733,92,175,103,118,22,462,0,25,251,357,86,596,55,160,87,705,594,35,60,531,133,467,423,711,236,95,650,109,458,443,298,21,886,5,50,138,26,12,505,238,168,309,314,42,32,10,646,220,49,70,335,192,232,906,420,204,48,20,64,37,43,603,13,19,533,96,85,23,565,51,330,226,550,221,570,208,283,54  },
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{ 7,14,16,46,107,32,35,24,70,60,23,307,172,5,18,2,38,87,92,58,13,21,20,10,177,51,202,77,135,48,37,128,0,97,232,115,171,112,126,43,9,220,140,318,12,141,102,71,852,155,4,54,291,22,90,1,269,52,163,33,137,298,192,28,66,64,217,356,61,132,294,278,359,147,349,461,95,29,45,609,448,121,259,186,314,76,474,304,362,17,108,6,150,415,59,400,780,146,36,342,31,275,67,86,246,402,334,279,678,75,247,50,620,30,409,502,39,372,72,49,230,40,494,227,69,465,872,68  },
{ 140,66,97,172,92,7,267,189,14,314,16,69,298,380,60,135,451,230,150,35,24,71,74,357,423,232,330,38,324,246,192,443,278,563,2,572,877,550,462,126,448,52,893,508,67,501,6,568,29,21,603,46,565,607,83,388,204,633,22,279,18,149,723,733,399,65,48,1,95,64,526,915,5,32,726,28,75,36,841,25,350,87,138,108,68,500,895,10,43,0,251,808,125,104,12,426,49,81,50,20,37,309,517,674,86,802,174,107,103,653,173,582,220,226,85,387,26,55,712,903,241,197,121,237,262,54,711,191  },
{ 121,167,354,212,132,407,191,107,147,146,271,199,101,446,126,647,195,35,259,18,16,60,55,20,590,465,43,411,68,363,178,198,142,562,9,427,463,92,640,14,346,7,727,798,941,520,364,325,815,5,581,13,1,621,21,23,522,534,0,589,279,158,28,806,706,125,439,109,98,97,118,48,22,694,955,393,604,362,150,932,608,51,105,33,252,165,234,265,108,49,598,156,96,419,818,10,467,197,154,493,12,765,376,120,70,786,169,777,967,102,687,38,202,32,682,246,64,39,31,447,781,612,58,159,61,260,40,450  },
{ 76,90,460,205,179,257,245,32,288,184,21,45,769,358,316,524,229,241,152,5,57,48,497,2,476,148,720,619,452,266,72,155,1,17,38,432,14,54,243,290,292,227,449,381,12,4,89,247,50,29,313,645,270,59,350,11,129,216,51,217,106,157,221,128,99,58,37,471,64,188,77,214,408,339,141,115,186,3,369,23,52,202,79,46,428,425,308,6,317,464,7,255,405,162,413,33,171,519,496,372,365,341,269,401,10,0,94,36,137,875,318,263,237,62,588,352,123,474,181,431,40,177,291,180,102,61,207,618  },
{ 147,259,427,178,798,581,878,786,198,534,465,325,929,142,362,20,376,43,107,771,35,481,132,470,234,5,626,146,590,279,97,522,49,70,77,345,21,199,640,450,612,202,13,48,14,102,150,0,33,725,595,846,941,23,22,7,58,195,423,660,501,121,687,126,518,260,117,904,120,858,953,39,342,60,455,1,196,165,125,158,105,159,246,92,28,153,10,31,360,315,346,271,761,683,603,212,18,298,128,711,167,379,318,113,623,817,95,32,291,61,16,134,72,359,108,221,197,115,98,163,767,523,493,191,329,30,87,50  },
{ 473,778,450,203,855,144,93,617,30,704,141,466,530,330,372,459,201,326,934,321,88,839,254,36,505,403,128,559,83,120,523,217,86,213,131,613,717,110,332,728,344,251,264,352,686,434,82,39,578,317,206,35,625,435,44,795,840,961,539,274,244,116,137,55,662,265,228,863,577,406,96,924,601,564,417,384,351,341,225,95,49,28,800,418,21,831,719,531,367,219,202,31,64,822,224,335,960,968,922,854,829,688,365,197,22,160,410,165,873,752,716,518,456,347,242,125,731,269,180,948,498,478,349,237,98,77,33,9  },
{ 523,475,899,730,453,51,23,403,719,13,421,457,33,386,196,817,801,4,120,117,153,11,450,260,102,202,515,361,670,165,758,494,125,108,128,961,283,236,99,21,3,880,5,401,32,59,77,543,615,10,6,318,402,221,183,137,650,57,40,7,2,1,90,847,412,247,241,210,207,115,12,208,181,150,133,114,63,42,467,775,389,342,111,56,39,31,30,28,22,9,0,576,558,304,229,216,177,152,123,113,47,29,25,958,554,391,629,968,967,966,965,964,963,962,960,959,957,956,955,954,953,952,951,950,949,948,947,946  },
{ 1,5,15,2,13,0,7,23,10,3,317,341,6,9,4,365,11,115,33,180,217,77,17,64,197,165,102,117,141,40,14,21,51,32,134,12,8,291,901,752,16,569,22,509,352,237,482,372,143,18,498,153,457,59,128,349,269,125,202,177,961,546,31,391,342,196,45,36,873,57,38,28,37,86,48,386,24,19,139,318,111,95,29,44,403,27,719,304,120,41,110,629,93,72,164,275,61,55,253,99,56,90,49,137,730,210,864,758,35,260,76,50,579,116,94,300,221,26,25,277,326,98,54,475,453,30,79,244  },
{ 19,119,40,4,27,84,77,56,202,73,102,59,757,33,485,26,300,210,504,494,128,80,862,23,402,63,42,139,880,342,129,32,5,361,25,13,196,51,12,11,2,99,21,6,153,469,123,10,710,53,65,618,64,161,117,736,90,38,22,106,17,803,95,76,0,45,37,14,548,813,250,245,108,297,453,378,162,57,113,460,403,611,255,205,256,383,217,1,235,114,86,742,209,152,292,630,576,240,343,790,667,475,16,48,133,122,18,136,134,85,115,15,283,34,179,436,180,78,29,9,200,605,561,318,49,269,684,495  },
{ 32,20,13,21,2,38,5,43,29,23,61,12,52,115,90,6,202,37,64,48,95,207,51,81,66,7,25,49,17,74,26,76,178,147,98,46,362,54,22,63,19,14,0,259,128,577,125,97,58,91,77,56,182,65,197,465,376,27,141,427,316,1,241,291,113,878,217,247,312,137,120,4,858,481,142,595,165,31,237,93,230,379,534,482,180,116,86,72,42,11,44,203,263,470,356,352,279,102,84,40,33,687,626,835,786,107,683,260,18,318,24,414,298,468,367,326,304,216,117,105,99,3,933,612,415,347,501,344  },
{ 339,188,11,377,79,4,99,94,12,542,102,111,474,37,51,33,471,453,152,40,475,342,77,403,59,196,277,139,153,57,134,117,13,775,229,128,401,38,880,23,210,64,184,202,431,115,961,157,300,3,266,72,485,402,89,629,21,54,15,129,177,76,14,162,32,17,216,10,148,275,269,5,757,452,361,477,141,90,205,313,569,494,2,65,179,120,257,381,421,237,197,405,86,488,328,36,318,48,22,137,165,413,50,308,0,1,341,130,82,95,49,457,161,543,245,18,304,260,62,45,285,180,291,41,529,498,125,56  },
{ 128,283,503,34,318,529,432,176,495,275,231,412,527,291,402,161,381,202,59,3,389,469,177,803,53,585,216,14,269,57,200,17,73,472,27,56,250,136,678,4,152,51,862,361,80,245,11,789,619,194,123,719,401,23,714,84,507,210,77,12,65,322,106,99,436,130,129,46,62,2,13,38,162,369,236,108,33,183,133,457,153,64,483,211,297,741,514,403,114,18,629,961,378,555,440,119,383,597,475,29,453,229,40,165,240,215,196,655,611,556,21,249,117,54,667,134,102,308,814,19,50,86,391,22,0,197,95,26  },
{ 15,217,13,341,317,141,365,115,23,51,180,349,291,1,120,77,260,269,202,137,21,5,450,352,373,110,0,372,64,33,36,128,177,4,318,351,102,9,197,2,304,854,10,901,7,12,32,165,326,752,40,244,922,160,96,22,523,117,11,48,16,86,661,90,457,82,386,494,403,308,59,28,55,253,247,18,498,134,8,143,153,221,14,6,83,30,196,93,3,37,615,453,401,898,421,817,24,95,961,285,475,719,873,17,35,39,391,730,125,67,237,49,98,811,704,642,717,216,203,69,482,99,342,402,851,50,57,569  },
{ 13,961,15,4,11,12,457,51,3,37,2,197,5,10,569,99,115,23,6,72,89,14,0,1,134,7,59,33,40,38,165,111,196,76,405,79,139,117,148,498,873,339,719,300,277,485,17,471,157,152,128,21,94,431,32,177,188,509,474,64,45,54,482,730,153,36,629,386,41,22,28,141,901,864,18,180,77,523,9,401,678,437,102,304,210,308,16,775,579,48,31,317,179,413,365,758,352,57,24,341,86,752,546,137,58,318,245,44,27,402,95,899,19,108,269,216,202,49,184,110,93,954,880,56,55,452,358,8  },
{ 15,13,1,2,0,5,10,23,33,9,7,3,4,6,12,102,115,14,11,217,51,117,77,40,569,153,341,196,317,18,457,22,8,16,961,197,719,180,64,365,165,730,120,134,21,141,899,202,82,31,523,291,125,372,386,28,17,139,93,349,128,304,269,177,110,482,32,342,111,37,318,95,453,579,36,901,59,24,352,450,44,437,137,403,49,260,401,210,237,247,326,817,494,98,99,57,752,19,48,203,30,86,351,485,758,116,402,391,26,898,308,38,27,25,275,801,498,854,65,56,629,76,90,300,922,468,144,35  },
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{ 25,26,119,42,19,6,27,45,122,84,469,4,17,790,814,113,80,76,59,73,483,2,29,611,128,32,202,40,1,77,90,862,106,56,209,33,240,0,684,136,102,14,292,416,5,311,11,504,196,318,123,680,378,255,12,129,161,22,690,151,53,117,63,179,667,10,85,72,61,115,65,210,402,396,57,141,64,614,134,757,153,137,62,18,99,445,51,269,66,177,7,3,24,710,256,648,36,655,235,38,23,306,58,618,70,491,48,454,21,403,742,361,49,34,86,494,275,383,342,28,300,145,13,74,112,52,297,245  },
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{ 1,14,5,2,46,50,38,58,171,61,45,155,7,48,69,270,290,24,21,29,75,52,16,67,54,666,32,663,227,72,502,0,425,223,18,592,89,17,35,243,37,207,76,186,103,263,36,163,96,83,741,6,408,10,400,22,181,28,9,428,12,536,64,221,220,70,262,281,23,267,115,106,65,807,292,309,119,148,474,449,394,128,141,86,241,3,655,430,51,189,476,140,431,541,587,95,334,738,675,90,114,13,780,108,71,720,19,133,27,202,335,413,4,767,112,77,25,405,513,179,659,99,218,787,55,180,528,151  },
{ 23,51,13,453,457,12,719,401,961,4,629,730,99,475,115,2,11,14,403,17,40,5,15,165,1,3,64,0,10,57,33,21,77,569,32,50,37,308,7,386,9,16,38,670,197,59,41,217,128,494,46,6,758,62,22,775,65,45,18,86,48,29,72,899,514,361,328,139,102,247,153,54,56,421,468,79,523,95,108,757,196,52,19,317,117,482,342,341,24,734,509,210,202,180,177,237,488,402,114,36,134,880,76,498,90,275,111,34,28,291,67,20,474,120,743,125,82,391,130,752,490,437,405,318,277,27,141,89  },
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{ 7,92,71,97,140,60,150,16,298,24,189,230,14,149,423,35,508,314,18,43,279,232,66,399,273,246,251,38,607,69,126,172,517,674,2,173,28,375,74,467,104,68,0,809,20,823,336,118,267,175,135,108,191,154,21,345,501,796,36,52,125,653,29,81,330,107,124,362,356,6,387,55,359,46,779,302,192,22,5,575,48,67,877,462,10,388,441,9,566,723,783,221,1,65,49,398,101,37,278,702,83,91,357,705,392,12,109,121,236,426,380,32,212,695,443,86,596,103,868,608,560,165,830,167,13,558,25,541  },
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{ 1,67,28,50,46,2,103,83,14,65,114,24,0,38,133,69,36,55,18,75,9,54,124,29,22,283,7,218,5,238,16,154,35,52,96,160,480,109,108,547,12,68,398,429,646,323,181,732,175,220,21,361,171,71,335,236,389,418,70,394,48,49,149,86,58,866,531,87,309,366,37,484,208,328,251,118,194,6,10,302,412,487,420,189,336,23,168,545,800,51,803,433,185,137,128,163,754,39,45,505,169,285,596,486,13,503,533,60,101,155,95,64,32,289,570,223,158,267,927,140,745,516,17,115,514,346,956,99  },
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{ 13,23,51,115,217,33,77,0,4,2,9,317,102,141,7,11,1,10,180,5,40,202,22,197,3,6,352,365,12,269,341,165,14,18,16,28,64,15,59,318,177,403,752,31,24,196,308,32,372,125,128,291,498,137,17,247,153,21,49,401,453,349,98,117,44,8,95,237,901,36,86,93,494,342,475,30,482,210,468,457,304,873,569,90,105,143,421,391,386,37,509,39,134,139,110,116,35,275,244,144,120,326,55,961,19,546,203,46,864,27,719,221,111,65,164,253,285,216,127,402,730,50,437,38,67,20,288,54  },
{ 13,23,165,15,37,54,134,12,117,38,457,51,64,197,99,115,153,89,961,719,33,10,82,509,14,128,120,237,3,196,308,86,141,328,0,1,629,72,450,277,139,102,523,386,351,77,8,401,65,4,546,95,155,202,180,21,2,498,391,40,352,7,5,32,11,6,730,474,31,475,110,137,899,854,453,922,569,291,114,108,22,898,44,9,177,403,148,49,361,342,285,260,514,269,93,17,758,901,210,864,479,59,34,29,28,67,217,494,318,236,179,90,76,56,50,18,242,417,528,488,206,98,413,94,817,789,468,402  },
{ 5,21,32,14,2,48,17,3,1,12,72,38,45,54,51,10,36,22,76,23,0,89,540,13,137,86,37,4,430,270,50,114,11,221,99,285,115,64,6,61,46,361,29,181,290,65,58,403,208,155,28,133,480,281,148,128,323,453,657,401,514,541,754,421,697,202,90,9,7,475,241,263,40,56,328,308,95,59,207,576,805,165,838,513,57,27,402,19,425,18,775,488,119,283,218,741,428,341,24,141,77,33,794,408,227,197,102,194,52,179,832,55,180,494,269,365,449,164,236,350,745,318,171,859,244,474,108,880  },
{ 202,318,77,291,128,275,102,33,269,342,177,210,402,678,141,403,494,40,20,196,0,137,7,23,49,32,64,216,4,416,104,139,285,59,352,43,61,66,13,304,234,90,22,475,319,450,11,349,117,300,113,5,153,58,947,17,112,21,6,115,120,70,544,38,16,142,2,315,194,134,95,18,498,9,74,597,237,51,329,884,25,12,453,864,24,789,173,415,639,859,155,277,52,81,86,222,178,10,48,560,14,230,665,198,97,31,355,557,65,1,186,105,817,111,39,226,57,546,121,29,147,28,15,87,60,96,265,523  },
{ 1,24,46,2,14,67,69,75,103,38,35,50,52,83,29,108,18,16,71,220,149,394,309,236,189,70,96,133,171,54,68,366,28,58,5,238,181,163,87,7,433,0,335,60,218,114,251,487,65,267,537,36,328,418,223,9,486,55,516,262,112,150,155,12,388,48,21,45,675,175,336,22,409,118,37,186,281,140,412,696,6,124,25,514,151,294,61,99,154,10,334,32,17,273,92,135,160,283,760,278,458,227,766,64,307,19,86,361,398,230,552,641,532,400,137,565,23,502,345,51,13,95,765,26,66,72,128,399  },
{ 15,1,5,2,13,0,7,23,6,3,180,12,51,4,9,115,457,165,197,21,8,14,141,901,37,752,117,16,77,10,32,120,202,11,317,217,110,961,22,33,365,341,82,269,719,93,352,31,102,18,128,153,134,28,260,48,569,64,137,40,318,196,386,351,509,17,44,30,326,125,730,308,450,49,177,36,95,453,89,72,98,99,203,873,523,401,498,403,59,291,116,38,24,629,372,90,349,76,55,391,373,144,758,494,237,244,96,482,475,54,854,39,468,143,45,139,105,221,247,86,899,50,148,253,35,210,304,421  },
{ 28,65,124,14,0,154,24,67,69,55,175,7,9,429,46,2,109,35,149,336,68,1,189,83,114,251,108,16,133,398,484,103,36,18,38,22,50,267,420,140,283,289,71,570,158,236,389,101,505,230,86,346,185,39,12,169,168,799,194,118,49,596,29,732,782,302,309,5,533,52,252,95,388,419,535,21,439,458,705,75,797,160,412,6,10,54,531,218,92,345,208,96,159,610,48,60,64,323,756,105,37,23,646,238,51,128,329,886,547,278,13,650,637,32,172,135,364,164,143,584,602,115,701,601,137,333,399,443  },
{ 162,403,56,775,129,880,161,527,99,3,17,40,33,475,23,4,361,128,196,14,200,183,34,202,102,184,548,402,383,53,130,153,757,494,27,257,108,453,38,12,136,117,51,485,123,64,57,65,19,585,141,73,13,139,421,134,229,106,11,80,556,469,670,84,59,152,62,78,714,412,378,77,5,495,21,54,236,488,497,2,6,90,514,86,111,730,22,180,26,46,507,440,95,269,37,472,115,32,401,45,283,452,618,0,328,47,18,29,266,390,10,211,165,899,250,24,300,862,719,504,133,543,197,318,277,50,176,457  },
{ 151,29,112,2,58,311,186,52,70,113,315,45,66,74,61,631,5,87,287,243,491,209,1,869,6,227,614,135,7,307,75,80,27,145,496,226,25,454,17,14,549,26,845,19,32,46,73,106,294,163,155,64,255,659,849,667,632,644,592,72,220,331,21,334,222,172,42,69,400,48,76,138,396,337,148,635,50,86,611,445,128,171,97,122,141,95,738,119,16,37,38,4,207,67,425,290,409,53,24,65,262,89,90,12,297,278,192,461,137,22,624,36,20,483,881,84,292,684,43,10,833,56,651,655,114,263,204,115  },
{ 6,74,75,1,70,66,138,29,25,85,26,42,87,220,52,2,135,226,222,802,324,112,145,357,103,19,278,108,380,67,114,309,235,14,500,69,451,133,606,280,38,24,582,83,65,262,163,86,97,394,294,267,486,96,50,36,889,388,603,641,58,256,32,895,238,223,853,45,122,594,46,537,64,21,204,150,27,335,792,102,7,115,337,218,13,418,71,33,160,632,5,189,696,571,308,461,95,565,16,545,331,125,4,137,134,153,113,117,17,35,558,54,287,149,22,171,18,711,174,630,247,63,12,23,0,194,462,90  },
{ 15,13,23,51,1,120,0,180,202,5,260,9,2,102,450,115,77,7,141,12,21,269,318,197,137,523,403,6,165,326,33,351,341,817,110,901,342,128,365,36,14,4,16,457,308,401,18,494,8,48,32,59,64,82,352,22,475,10,217,386,730,317,28,93,37,3,373,854,453,719,752,31,615,24,44,30,421,291,11,210,221,39,899,99,96,961,55,86,98,40,116,177,402,922,160,898,244,203,35,576,17,569,117,509,144,391,90,49,372,704,349,153,873,285,498,253,275,125,89,143,300,196,72,247,67,95,629,127  },
{ 5,45,17,14,46,2,50,48,186,181,227,61,29,38,155,281,54,52,80,106,400,209,21,58,3,171,243,487,540,32,328,311,103,218,133,430,255,62,67,12,828,454,36,56,536,236,27,1,207,496,787,119,697,366,114,37,19,108,6,760,513,541,600,587,592,84,745,842,99,920,96,502,151,76,13,26,270,583,263,86,221,115,83,832,666,51,23,136,34,334,65,10,290,72,308,137,663,869,739,361,514,25,721,738,794,4,659,543,89,401,667,11,64,576,378,148,22,24,834,0,474,357,73,483,754,516,41,53  },
{ 18,16,35,60,68,121,265,158,159,24,329,105,9,132,167,252,327,709,101,55,286,39,21,71,146,49,7,109,374,23,22,126,604,107,419,333,271,14,28,1,48,0,191,120,92,212,20,310,272,890,553,118,5,326,137,199,260,455,51,95,446,320,13,32,450,259,170,627,621,639,2,10,195,647,128,98,364,301,557,463,43,37,239,77,576,848,64,100,351,82,102,125,65,285,202,12,354,6,363,346,178,344,197,165,493,407,147,29,523,242,907,96,538,932,403,33,279,916,97,704,36,31,402,520,318,156,912,846  },
{ 467,650,389,108,283,56,412,123,177,216,670,619,349,269,33,475,899,775,453,503,789,401,678,65,543,51,196,403,730,128,84,23,194,523,13,421,719,576,457,11,597,153,880,141,249,847,3,801,117,817,57,133,18,0,202,114,59,24,150,32,386,64,40,95,291,4,183,450,130,524,162,5,554,152,90,22,9,361,134,236,102,17,27,120,304,19,961,629,210,432,21,770,86,16,14,10,77,165,46,28,594,381,377,240,137,26,229,494,947,372,602,342,318,275,125,98,630,743,701,605,184,103,97,63,50,49,958,444  },
{ 514,11,377,328,361,3,4,880,507,403,485,57,130,14,757,152,38,102,300,211,556,215,54,176,236,62,229,56,494,40,585,555,266,34,183,59,342,12,162,440,453,548,51,37,77,402,488,305,184,196,542,421,775,471,123,527,210,369,313,33,457,136,719,23,202,231,13,128,153,381,629,452,803,543,129,412,157,17,248,339,111,84,139,497,475,205,99,119,32,828,188,177,961,349,383,117,46,89,79,730,216,504,277,401,161,134,308,291,322,76,249,283,72,65,64,21,2,22,670,503,241,41,257,90,108,618,472,94  },
{ 3,555,62,266,507,215,130,440,99,514,229,152,471,40,57,139,403,12,56,548,305,33,475,38,313,775,361,14,123,211,880,328,196,102,23,556,381,184,136,757,377,77,277,54,183,494,453,421,4,11,205,349,291,129,162,452,34,236,84,17,369,37,59,485,497,111,401,402,51,153,157,477,585,13,670,128,117,339,176,161,41,488,248,202,383,300,457,249,119,76,432,46,342,134,79,188,89,214,2,474,72,527,961,21,32,308,719,543,165,177,257,730,412,133,413,64,283,216,210,245,106,618,803,90,15,629,115,460  },
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{ 21,23,13,5,1,586,32,48,167,51,781,31,647,33,271,165,49,141,591,44,115,522,77,197,221,22,360,18,93,146,391,558,105,932,217,447,118,153,961,352,60,900,317,761,196,459,0,363,260,241,82,4,12,698,463,7,291,98,27,247,815,156,120,36,623,35,10,191,628,95,65,46,17,50,922,341,202,45,411,64,521,372,102,16,934,308,269,663,410,351,326,14,116,686,349,225,110,457,29,2,509,71,621,854,701,475,354,342,159,158,132,127,24,478,446,321,246,199,640,848,777,759,371,318,316,273,223,126  },
{ 2,29,61,52,7,1,5,14,58,70,45,425,6,290,112,738,32,207,46,72,66,186,87,76,655,38,243,263,74,151,21,75,16,227,25,50,135,17,148,64,89,255,292,128,24,106,155,141,315,476,209,226,90,26,833,19,113,27,306,115,48,454,549,592,18,4,163,307,0,20,119,77,10,86,36,270,54,177,35,171,720,22,65,137,496,202,40,887,59,179,95,294,790,23,69,269,220,172,631,334,9,67,449,28,408,318,483,311,145,13,97,845,84,287,240,214,51,37,43,241,405,33,49,102,663,80,12,180  },
{ 39,265,9,333,100,310,411,254,363,101,447,404,18,272,98,639,264,166,1,286,203,327,682,676,31,905,156,520,821,16,93,656,593,30,625,354,105,24,438,44,664,688,23,116,51,557,0,326,329,21,812,195,49,190,159,35,759,60,478,125,118,121,48,364,132,627,13,167,33,110,921,242,68,274,158,96,127,252,137,668,77,5,731,578,692,102,795,865,131,435,165,22,604,586,271,473,455,382,146,120,10,88,144,65,64,966,212,71,67,128,83,691,897,160,576,551,36,724,615,223,82,50,647,7,95,197,621,115  },
{ 6,26,2,25,74,1,29,19,42,138,51,108,114,70,324,14,23,386,133,103,5,96,85,13,719,75,453,52,27,66,730,602,220,38,309,65,388,457,58,17,112,122,50,128,323,357,64,235,280,238,670,421,135,165,150,475,7,523,197,32,145,278,87,500,899,401,550,3,218,273,758,208,113,86,83,603,532,222,115,711,12,137,21,895,394,46,24,163,53,45,97,67,125,283,28,458,236,117,34,11,262,294,90,36,801,792,141,516,484,341,302,33,802,297,204,57,95,4,756,594,226,256,134,480,891,545,99,450  },
{ 20,43,356,414,49,595,858,359,819,107,392,319,97,7,422,470,376,612,173,5,246,0,427,14,683,147,197,22,660,95,230,347,945,713,32,344,92,61,830,362,325,259,33,31,21,12,4,904,707,623,126,509,18,2,77,357,232,165,140,105,102,729,196,153,426,117,408,841,518,98,64,10,17,16,501,663,560,76,44,104,38,558,125,391,23,324,178,134,46,54,29,13,40,51,330,120,493,279,168,581,263,180,158,116,241,455,159,81,28,903,298,90,900,66,465,441,423,202,198,30,534,237,58,24,3,52,887,845  },
{ 68,35,0,101,65,9,124,154,175,114,336,67,28,69,149,189,103,133,1,24,39,83,50,230,55,345,16,429,251,7,283,218,252,346,18,389,547,71,118,364,100,2,238,140,646,109,46,22,12,439,166,289,36,23,49,484,30,399,14,51,732,13,86,930,532,398,64,96,54,323,694,88,21,722,158,265,5,75,38,48,329,181,705,212,194,952,480,361,419,443,208,302,868,782,520,10,95,108,503,128,191,115,246,237,335,267,637,37,167,160,137,723,702,141,806,565,309,105,264,831,826,701,604,535,60,330,562,375  },
{ 23,13,51,115,15,5,202,12,1,165,2,0,21,197,453,457,4,318,269,10,32,7,141,9,6,401,3,180,14,403,37,11,341,77,22,719,120,569,217,475,308,177,33,18,260,365,17,961,64,59,99,16,317,237,48,28,629,128,450,730,90,117,137,386,352,523,31,40,494,291,102,247,8,421,509,72,24,498,125,391,196,76,49,44,57,221,36,93,468,203,326,30,45,153,210,899,89,304,216,482,372,38,110,95,82,19,275,134,402,758,342,139,349,98,901,678,752,670,873,546,734,27,56,351,65,817,61,86  },
{ 121,195,407,126,60,271,146,199,167,16,107,493,98,132,191,223,35,279,1,212,20,362,727,92,48,43,18,21,150,522,446,259,393,467,5,783,590,598,360,640,612,939,649,354,71,246,7,156,834,68,49,125,293,24,0,147,55,608,591,163,14,376,534,31,660,541,463,683,807,97,13,345,589,23,953,668,562,22,32,818,221,108,955,118,284,96,581,595,10,50,28,470,765,695,575,346,116,2,37,61,356,535,566,95,12,51,105,101,70,281,64,273,423,230,202,441,44,9,755,75,697,653,465,38,768,173,175,77  },
{ 31,44,299,116,393,492,144,268,918,367,456,434,105,489,22,948,127,384,963,9,98,28,0,49,125,242,293,206,395,940,36,512,55,51,203,1,855,93,911,617,159,95,272,23,959,332,763,301,137,21,13,141,64,109,86,282,10,170,120,286,320,551,202,417,599,239,165,685,7,2,616,5,128,730,143,457,352,719,48,39,8,253,160,37,692,326,327,386,450,421,158,269,12,276,18,506,791,473,115,24,16,244,391,164,558,318,403,338,623,131,219,14,523,401,284,30,197,499,900,951,308,479,221,260,728,169,910,935  },
{ 23,457,51,401,13,758,719,165,629,453,961,730,197,901,386,569,308,670,391,3,29,14,12,739,231,34,52,153,832,828,115,341,2,40,46,514,176,365,5,21,33,0,838,181,4,328,45,54,555,130,509,494,540,734,552,583,215,196,507,227,11,211,99,117,361,180,38,10,1,351,894,134,27,26,186,50,48,543,152,749,369,202,62,236,421,102,600,468,403,171,161,155,57,9,528,17,880,753,36,477,19,440,903,488,377,22,585,108,37,7,6,697,899,757,523,475,576,326,67,479,469,281,867,805,801,659,657,587  },
{ 105,131,22,36,127,115,180,341,201,219,272,31,365,169,98,1,44,317,9,64,239,187,141,197,498,143,873,320,752,286,901,352,86,164,160,258,327,244,224,185,109,159,217,13,535,253,538,144,116,0,374,276,261,776,170,28,83,634,531,2,569,533,269,616,95,896,251,824,482,165,37,55,128,282,10,5,578,49,546,654,947,913,371,384,295,208,8,860,21,137,202,954,312,284,30,23,567,509,125,574,39,285,318,268,206,203,843,623,33,708,12,77,716,385,837,7,638,120,237,301,254,308,293,16,951,3,395,15  },
{ 6,1,2,29,14,25,52,38,74,66,26,65,67,114,42,19,108,5,69,83,46,388,75,86,324,135,103,7,17,27,85,380,36,24,70,150,278,87,138,97,594,886,357,267,50,51,18,484,650,23,458,45,646,21,732,398,95,208,64,96,273,13,238,0,124,22,711,550,12,532,323,302,28,220,160,37,335,63,32,194,421,133,262,451,602,283,386,309,730,10,172,467,453,235,168,3,401,782,115,610,670,48,719,81,145,16,20,500,137,226,58,280,165,603,244,866,141,308,222,197,189,112,547,53,99,73,475,180  },
{ 51,453,386,23,719,730,670,13,758,6,457,401,899,475,629,19,2,29,569,47,26,165,14,894,421,130,801,236,197,108,412,27,74,1,308,754,5,50,17,961,133,45,52,285,523,711,657,78,324,196,128,137,65,34,115,25,99,138,357,59,480,42,114,46,361,867,53,739,58,4,743,403,603,366,11,859,38,262,12,594,202,22,235,153,64,391,218,0,516,487,10,145,200,3,33,444,70,117,901,57,223,134,54,745,390,112,283,95,123,309,96,21,66,803,220,86,341,18,365,402,176,37,328,77,488,73,322,250  },
{ 252,121,18,101,16,9,167,132,271,60,146,419,364,35,265,363,212,0,158,604,329,682,68,647,109,848,907,191,520,463,39,24,333,28,446,159,821,55,621,553,118,126,593,411,49,71,407,23,286,634,105,195,354,107,404,857,13,676,374,310,259,22,538,562,92,100,31,10,21,793,199,1,327,639,108,48,98,806,51,7,709,346,522,932,166,147,5,590,96,137,254,465,272,20,150,694,64,706,12,14,203,169,95,36,124,77,2,116,360,44,865,402,125,154,128,33,627,576,185,810,455,156,822,777,37,326,127,842  },
{ 283,503,128,432,269,529,63,26,275,789,193,678,318,389,102,122,291,77,59,177,256,6,862,342,25,18,235,57,216,445,27,4,573,605,349,65,11,85,403,523,643,84,813,630,494,397,233,40,56,73,475,202,138,416,210,718,42,32,133,415,381,736,453,412,511,19,619,91,240,255,80,22,64,114,23,289,194,0,17,123,561,87,174,152,343,81,436,66,300,297,148,95,78,3,217,51,803,510,370,341,139,137,130,49,45,119,396,372,90,237,544,141,74,476,129,86,21,650,421,378,352,209,196,33,288,247,402,701  },
{ 2,75,29,52,87,74,226,69,220,1,278,135,46,262,70,267,14,380,6,66,324,38,357,294,7,394,222,140,145,97,331,25,335,189,24,67,92,16,112,853,571,26,42,309,163,50,138,35,550,582,103,172,83,96,337,451,71,108,150,5,58,486,785,537,21,60,298,19,462,583,600,461,171,32,230,48,65,366,45,500,606,54,774,12,18,36,149,223,114,37,443,641,133,632,287,563,64,409,85,22,764,388,314,238,151,950,95,61,27,307,155,86,28,415,565,17,246,423,43,572,113,0,186,609,251,396,10,802  },
{ 97,298,172,140,69,66,7,189,267,92,501,314,60,423,135,24,232,81,71,16,43,150,462,74,14,330,192,517,173,426,733,149,251,35,885,273,6,279,38,18,221,67,278,508,83,607,2,91,380,52,125,448,124,29,387,458,87,20,36,443,230,861,108,915,711,302,104,21,568,526,723,324,12,68,48,5,362,1,336,335,0,28,22,46,541,126,357,103,25,451,877,726,246,398,565,50,138,879,175,963,65,86,165,809,391,715,197,705,191,118,117,42,712,386,204,160,823,674,54,107,467,399,441,633,831,572,563,236  },
{ 475,421,805,899,403,453,958,615,817,51,801,523,120,401,670,730,450,326,494,23,576,202,386,629,569,260,115,365,697,77,165,110,153,351,318,24,117,13,317,0,341,221,16,704,137,5,196,342,308,757,543,22,719,197,11,4,457,20,9,302,484,758,300,10,7,217,6,193,901,391,91,361,1,791,515,862,291,273,118,102,66,38,36,2,402,125,114,661,643,352,474,134,82,33,133,756,642,511,48,373,240,847,735,608,480,172,135,52,43,21,14,859,244,116,29,370,124,754,180,35,42,898,886,851,842,811,770,558  },
{ 7,128,20,14,177,97,16,112,43,202,269,77,107,66,415,318,2,135,141,275,147,38,18,58,35,52,307,173,10,356,298,29,210,414,172,32,6,0,137,192,24,291,70,22,102,494,9,87,334,13,104,60,115,64,40,678,342,46,49,186,33,217,5,121,48,90,23,21,4,155,86,232,403,59,28,74,132,37,227,324,319,61,362,402,36,126,95,92,431,337,178,400,609,1,376,71,51,294,665,631,392,151,549,105,81,359,353,304,230,196,67,349,15,134,544,311,285,278,884,352,259,76,427,262,194,50,496,171  },
{ 24,14,7,28,2,16,0,22,124,1,65,35,108,168,149,67,109,69,71,18,46,55,158,49,289,12,92,95,185,38,6,169,5,420,83,10,189,154,159,584,140,150,36,68,429,164,21,671,484,50,398,60,105,175,29,302,143,703,239,103,86,23,64,344,424,32,51,9,336,251,230,273,577,114,747,133,37,118,194,66,13,48,267,97,128,835,505,52,170,137,320,892,253,115,236,570,388,347,374,125,286,54,20,345,202,458,314,638,246,654,610,25,75,708,17,172,312,96,135,677,141,19,221,3,650,799,547,601  },
{ 26,80,122,73,27,25,42,684,19,209,445,573,667,17,680,690,106,6,255,297,611,483,4,495,59,119,250,45,84,378,113,469,65,436,128,311,85,64,29,53,200,56,648,396,235,61,742,11,136,76,383,77,0,86,32,161,62,22,814,361,256,14,12,5,137,123,40,389,194,491,503,813,283,269,862,21,3,95,112,454,179,63,141,129,33,177,233,57,202,803,2,102,70,10,34,240,402,18,416,624,275,145,605,614,52,358,504,665,527,343,133,114,108,139,50,881,151,58,205,51,790,24,210,38,174,49,216,285  },
{ 107,259,465,362,376,595,534,660,683,470,581,147,612,20,858,43,427,49,5,178,246,786,0,35,97,356,279,878,21,423,929,61,142,14,230,126,70,132,146,904,590,325,319,493,22,199,48,32,501,392,298,953,95,77,414,640,347,345,359,798,31,13,198,7,173,58,64,121,105,711,28,125,150,344,12,518,10,941,713,603,4,60,33,450,1,481,92,202,98,120,687,55,207,23,16,18,626,197,102,522,819,163,232,771,113,577,17,318,37,65,357,263,40,324,422,260,623,59,44,663,408,702,494,441,68,455,845,237  },
{ 131,30,190,856,228,406,224,530,88,863,219,778,274,944,613,539,816,258,187,100,435,871,39,160,321,840,44,116,31,166,93,625,137,36,957,531,127,442,213,669,466,716,385,1,144,839,492,202,827,829,96,382,908,242,662,731,9,254,120,367,276,456,371,960,203,795,201,98,730,574,83,13,924,410,800,926,326,21,217,851,318,523,836,717,268,473,931,352,533,418,23,49,141,28,260,110,77,22,86,310,567,494,457,64,10,55,244,737,251,373,728,128,299,125,105,0,51,48,679,822,489,5,616,265,295,284,615,102  },
{ 113,311,611,6,491,80,667,25,209,45,26,27,684,42,122,73,85,396,255,145,106,17,614,29,648,297,690,19,454,61,64,624,4,5,416,445,112,32,2,138,76,65,74,151,483,90,174,66,665,119,22,287,1,59,86,378,128,833,194,573,881,141,70,52,0,525,742,214,315,243,544,680,14,87,216,469,11,746,179,250,495,887,95,12,10,222,21,348,814,289,280,204,84,72,436,77,123,56,33,114,177,235,53,137,102,81,161,631,136,46,790,503,58,240,292,208,200,153,36,202,63,7,186,50,135,57,49,37  },
{ 15,0,1,5,23,9,51,13,2,7,12,120,115,77,260,82,180,341,202,4,450,141,10,8,351,197,21,901,6,817,403,137,102,14,64,22,165,342,457,269,93,16,3,32,11,110,37,128,318,177,401,40,494,18,365,523,854,453,33,36,421,352,475,217,28,210,922,31,569,898,317,125,44,719,30,730,59,86,144,24,48,203,961,17,49,373,116,98,99,308,326,117,752,386,576,153,55,291,39,629,899,95,221,196,139,642,661,402,237,143,244,134,160,90,509,670,391,65,498,349,89,54,127,57,805,275,253,758  },
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{ 28,67,0,65,1,114,103,83,69,50,9,55,2,109,124,46,133,24,14,35,22,154,36,68,38,547,389,218,7,283,323,16,54,18,12,160,194,420,49,251,175,5,75,185,238,39,289,429,158,96,208,168,532,29,86,480,505,531,484,189,503,169,149,797,782,361,21,101,570,52,346,71,181,336,927,533,48,95,37,108,51,596,10,252,23,159,128,799,105,285,418,64,118,535,335,398,732,6,70,803,419,137,220,13,866,171,756,394,30,32,309,328,140,115,87,60,230,433,345,141,58,439,831,402,610,366,99,754  },
{ 121,271,132,167,146,18,363,101,411,621,354,212,520,60,9,647,932,446,806,16,195,407,463,777,364,562,35,360,522,68,55,1,98,118,31,252,706,694,191,0,24,107,936,664,676,604,199,48,126,781,23,590,156,28,591,150,21,447,39,125,5,109,264,49,759,265,96,22,404,33,13,10,100,44,51,905,259,71,346,857,682,116,223,848,941,7,92,154,93,105,108,478,77,467,286,821,166,64,638,907,765,691,628,279,178,14,203,102,12,30,120,393,158,159,593,834,724,419,147,50,293,163,815,786,367,70,634,2  },
{ 26,6,85,122,396,624,42,25,573,445,174,416,665,19,680,648,138,145,348,881,64,436,214,113,235,65,297,544,194,90,45,746,525,280,112,289,74,233,32,53,27,355,29,222,287,389,17,151,86,80,95,813,81,73,256,5,249,141,283,91,597,0,343,76,22,66,87,204,415,874,209,312,690,524,611,255,288,63,644,123,243,70,614,216,4,128,2,77,119,61,370,106,52,491,315,58,10,56,651,21,12,519,18,14,835,59,250,352,247,114,49,179,636,205,684,619,311,57,84,28,337,667,177,108,11,208,503,240  },
{ 146,16,199,24,71,18,126,60,92,121,271,156,360,953,640,108,132,674,35,246,118,273,32,354,195,649,7,314,150,458,522,95,517,167,446,191,21,140,340,463,22,388,68,107,566,575,241,727,10,345,591,359,296,48,586,14,407,28,5,608,149,672,594,602,660,1,467,363,212,13,9,823,49,267,101,225,124,55,232,37,653,0,392,877,50,447,330,702,12,809,462,441,230,508,46,668,189,77,303,236,733,23,698,621,115,423,411,399,298,97,350,247,72,796,451,64,658,217,69,589,309,51,928,264,168,102,163,133  },
{ 51,23,13,453,475,730,719,899,403,202,401,21,15,64,523,115,95,457,33,12,141,308,32,102,4,128,40,19,11,421,5,117,386,3,99,22,153,125,26,817,120,25,6,961,165,1,180,196,17,197,494,57,134,221,0,194,2,237,260,7,670,48,27,365,37,629,450,49,170,65,14,569,137,342,236,38,352,10,56,29,20,16,468,316,241,402,391,77,177,350,84,34,283,269,217,82,9,247,546,351,318,42,59,372,903,841,558,317,129,86,47,46,41,28,18,326,615,341,90,291,164,801,509,119,76,63,54,24  },
{ 151,396,53,113,73,445,145,6,27,297,573,26,287,315,112,436,74,58,138,491,45,70,881,19,614,34,250,61,29,549,611,80,17,631,632,5,307,2,200,644,32,222,64,25,52,106,42,1,243,87,66,75,845,226,311,186,334,849,95,122,472,322,294,21,651,714,255,684,48,171,331,194,65,161,209,14,128,86,72,141,46,624,50,135,22,635,262,227,85,108,136,7,220,90,76,163,235,176,114,312,280,62,409,10,337,4,148,56,454,283,237,12,469,37,51,780,214,667,236,3,767,133,36,89,495,155,0,23  },
{ 223,774,1,888,385,260,98,863,202,269,421,730,96,349,697,453,141,393,622,834,318,751,87,418,791,765,801,922,163,21,335,352,5,7,120,13,291,854,64,23,717,851,293,30,284,372,31,678,371,217,947,351,70,51,32,137,48,77,128,82,442,450,44,49,36,752,125,386,541,931,304,873,0,498,22,2,201,276,807,317,10,670,180,102,6,75,237,39,373,33,69,770,144,177,95,17,16,160,116,100,842,203,197,968,949,221,115,275,165,494,475,127,898,58,963,523,403,12,954,537,45,50,433,872,652,526,268,241  },
{ 60,16,126,92,121,35,150,246,7,598,279,199,191,167,441,107,71,97,146,195,271,18,298,24,407,356,517,230,1,14,98,508,423,140,674,132,359,223,653,212,48,68,399,783,345,21,314,108,607,43,467,232,362,649,118,392,189,20,5,0,149,702,727,55,22,695,28,446,672,69,66,49,493,10,50,388,809,273,2,522,31,46,640,293,125,9,13,95,101,267,173,501,393,834,877,38,575,67,32,75,37,796,346,779,608,12,156,589,236,566,163,96,221,104,360,375,535,64,711,463,23,175,755,172,414,562,953,354  },
{ 22,105,28,1,239,95,55,170,320,301,127,36,98,31,49,109,9,2,0,168,35,67,185,169,12,14,86,512,7,44,395,159,5,194,293,312,114,64,83,928,713,740,65,24,23,623,21,299,10,338,16,51,242,50,125,141,933,420,13,237,37,164,844,286,143,69,175,584,892,202,48,6,46,371,103,133,269,116,685,39,916,137,115,160,599,208,272,128,96,284,158,737,762,638,180,244,276,187,763,308,165,841,761,479,505,401,347,424,318,389,30,352,870,18,131,32,197,219,965,327,538,54,456,900,506,253,385,874  },
{ 2,292,6,119,29,207,76,61,306,45,5,790,17,240,32,58,106,1,151,476,710,14,214,209,25,179,84,52,70,64,90,7,112,26,311,19,618,72,128,129,27,255,123,655,460,59,249,141,86,4,80,40,113,22,115,46,10,245,464,205,145,243,263,358,77,56,36,74,65,315,504,454,148,3,186,95,0,519,50,177,75,202,21,269,38,257,66,42,137,23,16,769,51,738,48,136,33,162,18,184,62,241,99,227,24,318,194,87,491,37,11,12,57,425,833,180,402,49,237,89,287,216,13,720,102,54,631,138  },
{ 51,221,23,115,254,438,48,421,530,541,13,21,401,613,308,39,688,386,125,840,228,551,453,960,827,1,166,96,406,326,393,627,670,158,49,697,656,829,846,770,333,856,404,5,180,30,863,190,202,669,518,890,219,83,159,98,50,131,33,102,310,217,165,137,743,77,32,101,31,752,679,15,105,615,468,391,341,317,0,224,9,498,352,258,286,455,364,187,778,197,344,44,865,539,457,482,272,128,116,37,28,949,403,876,385,963,373,709,931,719,64,574,68,35,160,274,268,616,345,442,95,492,450,293,843,839,22,261  },
{ 5,1,22,21,2,12,14,36,48,0,54,86,32,10,28,50,65,37,38,23,51,17,7,208,3,9,114,45,281,13,4,137,323,46,24,6,99,95,18,49,58,55,115,480,72,202,96,745,285,194,181,67,64,16,270,89,133,218,83,168,403,11,430,29,61,155,128,160,503,361,540,223,77,244,221,389,318,757,164,103,141,283,76,402,502,401,59,859,920,40,341,543,290,31,803,269,513,735,124,165,308,33,75,253,421,143,838,754,69,90,180,197,125,102,19,494,453,475,966,105,27,289,109,584,576,569,765,148  },
{ 182,23,363,284,296,447,340,98,1,291,698,367,93,668,658,156,144,21,269,70,433,379,31,318,478,354,203,44,691,335,180,13,223,125,116,937,586,411,326,110,107,48,18,421,664,724,273,197,141,51,692,195,87,5,67,914,687,486,759,349,551,386,375,268,232,149,102,60,35,33,115,795,251,69,65,49,415,364,77,771,626,163,453,281,165,127,121,24,10,360,806,791,393,336,39,475,372,217,850,662,942,682,518,484,361,359,221,196,146,133,128,117,75,64,22,12,7,883,591,457,132,16,647,153,120,68,801,670  },
{ 45,498,17,106,546,115,32,62,873,41,197,180,509,54,129,468,243,255,123,752,165,155,38,341,13,241,292,217,720,449,57,136,536,734,569,148,51,476,248,428,214,139,76,369,221,482,328,237,542,365,72,89,339,181,23,227,350,64,90,211,117,11,519,270,290,405,721,587,457,21,901,50,128,741,710,141,552,313,430,162,2,540,130,202,15,102,528,247,488,317,209,157,77,48,14,3,391,152,431,308,629,4,618,743,281,179,5,183,33,40,12,37,358,361,266,46,86,961,828,471,773,372,421,543,249,507,119,10  },
{ 32,95,64,237,92,180,246,22,241,197,125,115,312,652,126,638,49,316,13,21,5,165,288,534,7,4,48,0,28,23,498,392,296,107,888,340,90,303,658,626,247,70,441,10,16,365,953,468,260,230,546,18,24,774,12,379,883,98,490,482,863,31,877,508,391,141,51,830,933,354,9,517,347,150,314,385,177,132,65,146,645,40,653,76,33,2,341,217,14,269,44,698,263,156,195,850,649,633,199,120,360,359,563,923,509,216,128,86,60,733,873,267,35,1,442,168,330,293,929,545,11,622,591,87,77,641,437,660  },
{ 15,33,341,217,13,77,141,4,317,102,23,40,115,180,365,351,117,21,5,352,854,1,137,197,11,10,153,51,82,901,32,134,59,64,202,196,36,244,269,22,922,165,2,291,260,177,752,143,0,120,898,48,3,318,12,9,372,253,128,457,31,569,28,37,160,30,247,86,139,55,44,72,7,57,349,110,90,237,498,342,304,111,719,579,450,96,8,730,403,308,811,49,523,164,386,35,125,482,437,17,6,14,961,39,98,494,116,93,275,642,401,210,95,221,76,277,105,717,373,203,216,38,873,899,18,817,326,509  },
{ 120,260,1,15,141,217,352,13,77,82,93,351,110,23,180,317,349,51,202,21,854,326,165,64,269,128,137,5,291,304,752,36,373,372,922,450,318,177,203,197,115,48,457,10,342,2,0,898,102,160,12,16,901,22,125,386,86,9,144,32,96,35,719,28,7,365,341,244,275,494,210,730,18,95,83,661,4,403,237,523,498,247,143,864,473,90,14,961,437,33,817,40,37,8,678,482,253,579,569,98,72,24,50,475,391,67,69,954,717,288,164,65,49,6,206,216,55,17,134,947,899,576,308,76,316,196,490,402  },
{ 23,13,51,115,77,217,141,177,33,202,4,64,269,102,0,128,10,2,7,318,40,59,32,14,6,11,352,22,9,291,90,247,180,237,137,1,165,16,317,21,210,197,117,153,196,18,125,49,403,3,95,15,17,349,341,304,12,372,216,365,342,19,36,134,453,86,98,28,308,24,31,244,494,93,275,143,475,57,401,44,48,5,498,457,241,120,203,20,8,105,144,221,25,326,110,752,29,65,523,164,37,55,30,719,421,402,139,39,160,27,116,260,26,96,35,300,437,961,82,569,38,45,901,99,72,253,678,316  },
{ 478,264,724,520,682,98,1,772,905,664,759,821,9,223,21,48,411,604,909,447,363,23,265,100,13,410,897,166,5,907,293,31,88,329,252,39,101,0,51,125,639,848,32,167,96,647,691,807,781,541,686,382,284,521,44,321,777,393,621,274,118,212,18,676,116,163,69,271,936,834,221,593,812,16,24,914,30,10,127,765,115,37,49,354,335,217,144,68,93,386,105,404,586,22,33,4,83,70,806,165,553,697,932,60,77,50,744,463,71,64,286,421,254,281,435,102,35,12,656,371,191,225,963,446,121,213,201,763  },
{ 29,20,128,7,43,77,174,74,2,23,32,416,52,102,66,491,104,113,81,33,13,6,51,342,222,202,173,14,0,21,525,59,137,45,192,141,319,5,318,64,10,210,22,291,631,18,72,122,90,145,269,196,151,86,61,58,16,665,4,177,40,355,204,153,134,402,28,285,42,738,544,135,48,216,25,275,115,85,24,65,217,9,12,87,76,833,415,226,179,198,38,138,114,49,97,84,243,337,315,311,287,36,426,869,422,172,89,255,17,209,784,112,454,317,425,35,349,117,95,27,494,208,91,194,503,232,30,11  },
{ 2,1,5,14,58,7,52,29,46,61,290,45,75,38,592,425,50,270,70,16,32,163,24,155,21,186,171,72,6,227,69,334,263,207,220,17,243,663,48,18,89,76,0,67,400,655,738,35,408,54,112,87,148,36,64,449,66,23,106,22,307,10,262,128,292,74,409,115,119,135,9,476,90,65,141,278,37,767,103,83,86,28,720,140,95,780,255,96,25,405,27,77,3,241,51,12,13,306,20,97,666,179,223,40,19,177,4,428,92,151,496,209,172,26,502,113,84,202,790,137,60,431,833,240,659,331,217,324  },
{ 80,483,209,106,6,26,17,495,255,833,378,469,113,742,27,25,19,814,119,445,161,887,45,42,76,667,61,64,491,151,90,573,73,235,84,29,65,32,136,614,179,383,128,112,145,297,122,2,527,396,214,62,56,240,85,5,53,862,194,648,123,311,611,624,207,141,58,86,315,95,14,22,306,292,34,4,454,436,59,684,790,0,1,289,440,250,129,738,205,70,416,361,3,249,245,57,269,287,665,52,108,402,202,46,12,177,11,114,216,21,137,36,10,200,33,115,72,180,74,138,50,28,318,247,312,51,585,148  },
{ 98,223,393,834,1,354,195,791,697,447,293,284,360,541,781,807,51,664,591,156,421,411,48,801,163,883,948,668,765,386,18,586,132,121,23,963,363,125,21,446,551,759,31,621,949,770,407,777,271,658,146,730,167,670,13,116,936,453,5,367,296,478,144,371,221,96,70,9,44,202,105,719,127,687,379,49,118,55,60,698,101,842,626,318,771,217,647,212,691,137,281,638,340,165,75,522,463,706,724,32,93,401,39,364,269,16,520,562,35,141,77,50,265,914,450,33,203,197,268,498,264,69,857,335,22,317,103,905  },
{ 679,876,36,816,141,144,93,137,752,406,669,228,180,269,96,251,332,21,1,48,352,203,351,202,855,160,831,318,345,498,83,5,116,187,120,617,201,64,317,902,258,261,840,23,839,613,473,110,864,466,190,574,219,32,860,13,873,418,450,326,539,926,748,856,260,44,51,384,704,143,50,295,531,197,489,843,661,206,10,944,778,530,217,567,871,88,82,268,901,800,128,822,125,372,365,86,957,31,30,165,37,442,244,728,224,768,851,373,854,505,625,863,386,367,276,55,827,237,115,922,349,420,274,523,223,169,72,61  },
{ 15,13,2,1,341,5,23,3,0,4,7,11,10,6,51,12,14,9,33,165,115,569,197,180,17,365,217,153,77,64,196,102,22,21,40,453,317,8,32,901,141,457,117,961,134,31,18,37,16,386,629,291,719,110,28,44,475,177,120,93,269,202,86,237,372,24,95,19,125,59,49,403,57,401,352,318,48,349,730,36,111,326,137,128,98,38,82,391,27,139,65,30,873,275,242,203,54,260,29,45,494,55,25,342,210,450,99,56,46,116,509,498,482,752,373,50,351,899,523,308,247,90,143,35,437,76,72,26  },
{ 202,13,23,51,403,21,494,5,141,128,48,269,450,125,120,523,64,12,318,180,165,453,95,475,15,33,817,32,197,1,137,115,102,7,260,899,4,37,10,99,2,98,326,93,49,196,730,719,221,457,77,16,237,9,31,22,401,6,421,14,386,308,0,117,134,18,352,40,82,20,19,177,615,59,44,61,402,17,391,203,116,110,27,25,90,341,351,153,30,28,285,105,217,3,291,8,958,854,96,24,50,805,922,54,961,758,576,39,26,801,247,347,509,46,757,342,317,365,498,11,194,72,670,210,38,139,275,170  },
{ 16,24,71,146,60,18,92,199,126,118,246,35,121,108,140,167,132,230,649,271,360,267,7,9,640,388,150,156,232,191,133,522,273,68,236,101,107,212,0,672,55,446,953,14,149,458,674,330,46,67,314,566,95,189,602,633,392,562,195,64,591,103,21,467,39,354,69,463,407,114,247,98,32,5,50,172,10,1,733,399,278,366,49,36,653,309,412,65,823,22,28,915,288,877,316,124,75,345,340,264,37,12,594,516,135,563,598,451,225,86,38,572,830,125,31,30,359,517,115,571,363,164,726,398,48,237,116,251  },
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{ 100,9,120,260,30,827,795,373,264,77,137,166,202,326,127,578,1,39,254,82,704,318,217,450,18,101,395,737,351,0,731,291,265,317,156,349,341,31,716,105,102,93,141,197,55,33,968,98,269,5,296,128,478,131,24,851,252,371,342,32,859,938,921,44,616,411,403,404,385,924,144,109,165,40,456,274,180,10,494,836,16,512,854,410,299,195,110,68,28,7,518,442,36,438,286,242,13,244,167,96,363,850,379,656,521,284,95,523,125,64,658,615,340,116,67,922,212,115,447,187,937,935,916,724,936,856,822,372  },
{ 14,24,2,67,69,46,28,108,1,65,38,83,7,398,18,0,124,154,114,103,36,50,267,133,29,55,236,189,149,35,16,547,52,68,429,175,283,71,336,9,160,118,309,22,302,251,109,458,646,75,6,140,388,86,135,484,278,412,12,596,5,389,650,172,531,54,238,60,218,420,602,96,21,66,208,87,886,220,194,505,782,150,185,169,92,64,10,891,168,95,25,101,797,335,289,533,570,532,74,906,37,230,48,357,49,273,262,323,366,696,346,158,23,516,443,39,32,799,70,565,58,705,137,51,13,439,418,128  },
{ 66,69,14,267,189,24,71,7,150,172,140,97,149,16,60,380,135,462,2,35,67,74,388,92,38,18,451,278,108,29,83,68,251,6,357,52,46,1,230,443,36,324,423,298,458,65,273,28,336,517,314,823,232,192,398,330,711,118,594,103,87,0,75,565,175,55,335,399,705,124,22,86,25,21,603,448,906,568,204,95,48,12,50,236,5,563,309,43,550,10,154,138,64,32,345,302,37,596,893,20,133,572,54,467,114,126,607,42,26,160,246,220,733,375,809,226,429,526,501,723,9,895,49,808,70,500,602,915  },
{ 15,1,13,5,2,341,4,365,3,0,23,10,11,7,12,180,6,117,9,17,33,21,134,115,77,14,32,217,197,102,317,165,8,141,457,153,64,40,901,37,51,128,22,961,569,291,202,196,16,31,269,177,352,36,137,38,873,372,28,93,19,351,59,55,349,111,44,509,342,498,752,18,48,125,318,99,304,139,120,386,143,237,116,308,72,401,86,391,110,30,95,54,629,27,482,210,76,45,164,24,89,79,29,90,453,403,25,719,57,275,203,216,82,98,41,758,579,277,247,46,260,49,523,244,26,285,326,144  },
{ 1,22,12,5,28,36,0,21,2,86,49,48,95,55,37,23,10,50,9,7,96,13,202,32,51,105,14,54,208,168,65,115,128,24,83,16,160,67,4,141,137,31,64,99,318,3,269,194,109,6,323,18,164,159,17,114,35,170,239,281,402,285,180,11,238,745,69,584,103,197,165,480,158,45,341,181,169,403,77,244,44,46,38,218,143,98,433,289,401,30,223,58,717,125,657,503,352,217,851,33,177,185,29,946,597,757,708,39,365,312,317,72,800,253,75,789,102,678,124,418,133,237,59,956,90,127,308,430  },
{ 123,605,630,63,108,736,444,65,650,368,19,561,619,389,122,216,25,114,183,177,26,53,27,813,133,42,102,194,84,445,249,899,297,56,421,349,90,401,33,597,588,250,137,78,73,130,11,730,51,283,45,524,629,235,59,57,14,141,196,153,32,40,343,255,719,134,117,467,304,119,76,17,13,0,152,6,436,77,390,4,323,511,678,475,457,136,64,594,342,23,403,256,12,129,503,218,208,86,62,61,5,416,233,372,52,3,469,184,275,381,106,947,789,554,214,112,680,450,95,309,217,18,9,529,432,291,269,80  },
{ 127,39,9,254,98,395,371,31,0,385,836,44,1,30,299,284,100,166,116,578,131,187,272,28,935,49,293,276,21,125,23,16,219,310,599,51,737,442,827,48,242,616,137,18,101,908,5,144,13,846,24,265,456,716,35,512,96,252,93,88,202,22,201,68,159,36,158,7,77,55,224,924,938,141,492,203,128,190,688,269,518,258,32,333,64,37,318,228,2,65,829,326,274,244,761,165,12,115,67,286,120,931,217,110,367,404,105,839,33,102,567,83,268,916,662,95,438,14,86,50,944,109,574,557,69,327,625,10  },
{ 2,29,61,45,151,6,655,112,207,52,25,425,32,833,76,7,70,106,1,113,14,119,292,790,58,26,72,5,887,64,209,128,17,90,255,315,66,19,145,4,186,306,243,476,115,59,483,27,77,74,21,177,311,38,87,86,40,263,141,738,46,290,36,23,148,454,287,10,240,95,42,22,84,16,137,0,179,202,135,33,631,491,814,75,227,51,269,89,50,210,65,214,20,12,80,222,48,318,24,28,49,13,11,216,18,155,358,102,99,56,464,122,37,644,138,549,710,54,180,337,205,117,496,67,172,869,123,720  },
{ 2,17,5,29,27,3,6,401,45,58,51,26,23,19,53,52,14,34,46,453,151,133,366,13,61,236,50,218,114,1,73,99,308,487,603,108,21,25,181,670,287,421,297,80,115,396,48,74,56,137,171,412,764,445,202,38,281,62,457,42,65,629,516,480,475,341,113,549,64,573,600,386,57,403,894,250,106,730,54,436,651,491,86,145,12,334,208,155,832,128,328,614,361,262,165,283,84,32,719,323,745,200,90,141,37,36,711,657,631,67,760,754,583,739,635,569,7,594,488,315,161,10,285,59,402,758,243,430  },
{ 22,170,31,301,127,1,98,44,28,36,239,105,55,299,512,293,86,395,116,685,242,841,9,95,125,338,599,900,2,0,5,654,23,320,169,109,13,456,870,49,64,185,763,10,51,7,237,12,141,144,164,479,143,965,312,35,137,923,21,268,115,14,933,492,128,168,393,284,506,67,286,762,276,83,37,244,6,114,202,160,180,928,24,352,634,194,367,201,197,159,308,165,269,253,558,844,401,538,48,65,208,272,935,391,584,50,420,341,365,131,203,913,318,16,498,3,489,327,96,4,457,374,317,892,386,32,434,638  },
{ 14,21,50,48,5,2,1,32,270,46,38,290,76,72,45,155,54,17,263,181,408,207,425,281,29,430,221,67,36,96,292,89,449,52,428,37,476,513,241,83,103,119,0,171,7,541,720,528,3,12,10,24,227,148,22,58,179,61,536,502,214,243,655,6,413,90,9,350,23,218,106,51,16,86,69,129,65,186,28,133,115,114,99,431,552,400,760,794,464,64,474,128,433,123,328,460,18,405,137,487,306,84,108,477,245,710,35,236,205,4,13,787,27,238,308,587,309,770,141,540,19,56,790,240,95,223,488,202  },
{ 17,119,106,378,240,383,136,84,62,80,306,790,56,504,742,3,440,207,209,128,255,483,123,45,5,667,61,32,57,64,179,27,129,14,205,548,297,4,245,2,214,311,141,90,11,76,833,655,184,151,29,361,59,469,152,249,26,38,162,19,58,215,328,257,73,495,161,34,54,229,269,202,250,266,292,21,12,402,514,555,216,113,194,887,130,1,445,503,507,183,6,25,318,237,186,72,52,814,710,618,99,10,86,211,148,452,263,243,65,137,37,40,41,23,36,33,155,497,13,403,53,95,313,227,494,180,77,738  },
{ 13,1,2,15,23,5,115,0,51,10,4,3,6,341,7,11,365,217,180,317,9,33,197,77,165,40,22,12,14,102,64,141,117,153,196,453,457,8,202,901,17,21,269,18,128,28,125,569,31,386,59,318,32,16,134,349,352,291,372,237,36,719,403,752,475,873,961,730,509,391,177,137,24,401,95,57,44,37,93,498,120,308,139,494,110,98,326,111,247,86,304,30,482,49,143,48,55,629,210,260,758,523,19,351,65,450,72,116,46,76,342,29,275,203,50,170,105,164,89,82,734,242,27,38,54,144,899,90  },
{ 772,335,662,96,367,744,897,1,303,686,264,521,652,340,116,520,141,31,919,201,966,260,888,203,44,64,905,321,144,225,269,98,691,658,349,284,410,698,692,363,120,88,848,717,863,187,551,914,909,418,576,202,646,443,850,639,523,69,404,336,958,293,128,730,131,615,274,382,296,166,960,948,258,228,224,219,751,486,160,125,82,411,191,765,244,223,475,453,352,326,100,318,676,596,67,351,899,703,403,389,435,947,589,498,102,33,954,291,265,156,922,854,402,93,759,664,447,372,212,137,478,329,724,562,530,286,217,942  },
{ 1,28,5,0,36,24,65,83,50,14,67,22,12,96,2,48,218,114,281,54,18,21,9,133,55,103,46,181,37,58,160,38,16,7,99,10,223,69,238,32,430,433,502,45,35,51,766,49,108,86,23,124,361,155,487,765,532,283,75,137,270,115,17,838,163,109,480,95,13,61,6,543,154,754,513,70,29,72,202,540,822,657,323,920,398,89,68,64,141,966,3,221,208,285,128,290,956,547,488,269,236,175,168,429,194,474,800,646,171,39,412,775,52,308,531,866,149,880,389,4,180,403,318,842,834,402,217,185  },
{ 138,174,348,42,25,6,145,81,544,280,525,74,85,26,648,204,355,287,396,91,233,66,636,104,122,746,416,29,64,65,90,45,0,235,194,681,87,22,222,651,95,624,573,32,214,289,750,415,343,445,192,52,112,86,17,370,19,5,135,881,7,151,2,337,113,605,243,63,389,256,49,59,10,4,673,680,77,18,297,61,312,76,614,97,72,249,283,11,524,70,353,33,27,28,216,114,874,173,311,57,43,21,14,597,36,1,141,102,58,24,217,12,436,665,80,172,715,792,148,123,619,56,133,20,491,75,784,117  },
{ 24,16,35,68,0,18,158,28,71,159,49,7,55,154,109,14,22,60,105,124,344,65,118,424,9,239,95,1,320,2,149,577,286,170,92,169,108,347,12,21,327,374,175,185,67,10,272,5,101,51,48,23,302,455,39,6,671,301,46,13,69,310,20,518,64,150,36,346,50,32,137,202,709,677,191,126,98,125,375,168,538,289,164,38,37,128,638,30,703,747,890,273,127,634,31,419,140,143,439,86,403,114,252,83,962,654,221,762,623,338,115,29,212,103,701,570,308,107,512,189,54,97,167,230,479,345,312,913  },
{ 854,699,230,352,93,689,144,251,160,137,855,202,617,203,217,36,669,332,450,120,473,351,831,201,213,752,326,800,206,141,258,748,82,418,345,30,180,816,957,318,840,190,443,228,44,35,863,968,10,1,219,871,704,317,64,22,679,83,466,539,498,224,55,96,898,31,116,406,851,384,86,244,295,28,873,98,817,531,187,822,864,373,494,131,559,372,530,901,574,365,69,127,839,735,128,268,67,533,442,868,860,922,88,269,927,859,9,367,613,253,564,930,567,261,260,728,39,237,109,284,276,164,730,489,166,926,125,776  },
{ 15,13,5,1,2,23,3,0,317,51,115,4,10,11,7,6,217,33,9,77,17,14,341,165,102,117,180,365,134,40,197,153,64,22,12,32,196,21,8,141,391,110,752,372,291,498,352,125,569,16,36,901,202,59,260,28,237,482,349,18,269,457,961,120,318,93,57,509,37,29,128,177,49,31,19,401,48,453,342,38,719,873,45,55,629,111,24,44,143,468,386,50,54,403,86,139,27,308,304,95,210,546,730,475,46,137,98,247,35,72,90,99,82,76,437,494,864,30,326,758,96,52,275,116,402,277,164,56  },
{ 104,173,20,319,43,66,426,355,712,77,97,0,202,7,198,74,580,204,174,500,32,5,59,2,102,337,90,325,226,234,4,52,22,450,904,155,222,376,861,21,750,33,192,414,194,147,324,342,889,58,544,636,18,291,416,112,784,81,334,64,707,95,331,422,639,715,36,400,14,141,560,792,65,29,177,49,37,315,427,28,57,10,120,24,1,40,48,107,673,11,494,318,230,61,524,128,196,16,12,470,632,232,138,115,329,455,113,142,186,153,819,294,17,525,526,70,117,87,25,247,587,105,269,583,588,158,171,348  },
{ 23,13,51,5,15,1,2,115,0,141,12,7,4,21,6,165,32,3,269,9,10,457,202,180,197,14,77,11,37,453,22,318,352,120,33,719,217,341,401,403,16,961,17,40,308,18,31,28,8,48,64,475,569,730,260,365,59,128,247,317,137,177,90,93,237,102,99,629,523,44,386,117,36,450,110,153,30,752,899,38,349,72,134,98,509,498,49,326,901,125,24,391,196,421,57,82,291,76,95,19,203,494,89,45,817,304,468,221,139,210,758,351,546,65,373,372,96,54,482,734,144,116,86,39,29,216,402,288  },
{ 15,1,13,0,2,5,4,23,3,317,115,51,7,6,341,9,8,365,217,22,10,33,77,31,457,197,44,901,18,12,28,180,11,120,165,202,961,102,719,569,40,308,21,730,20,260,351,523,141,36,401,64,482,82,55,49,450,453,403,269,93,318,16,30,498,468,342,14,372,352,110,61,817,125,137,386,117,70,899,25,898,291,509,196,494,475,24,629,854,39,153,349,98,32,134,221,391,416,234,758,59,37,237,95,86,19,91,48,27,177,247,326,903,17,734,873,89,128,421,105,922,57,111,143,638,300,304,90  },
{ 15,1,3,2,0,4,10,5,9,13,82,12,8,11,16,7,31,23,351,898,365,93,44,854,22,64,21,457,217,180,6,141,317,730,110,318,18,752,719,352,341,51,961,28,269,33,260,77,922,120,202,291,98,55,372,197,349,901,105,165,30,450,14,817,494,523,403,899,128,125,453,95,36,115,116,475,386,326,49,401,111,94,811,642,758,479,474,391,373,203,201,187,153,144,137,38,37,24,102,59,421,282,206,48,569,342,275,216,210,864,846,801,795,692,661,597,559,442,253,244,230,196,177,170,143,127,123,89  },
{ 2,5,14,1,29,50,38,46,45,17,52,58,114,133,171,218,21,181,48,186,36,6,155,3,19,65,487,12,32,54,27,61,480,323,70,22,51,86,361,137,96,0,208,115,285,227,283,151,23,412,10,281,28,108,37,236,112,328,7,334,163,400,25,4,223,26,67,75,657,194,18,103,128,24,13,514,745,99,401,202,308,532,59,803,389,16,760,11,243,72,64,80,106,9,502,83,832,113,453,56,552,421,403,503,402,95,735,341,956,69,124,782,366,90,141,409,77,57,160,822,433,89,209,244,40,76,177,484  },
{ 68,101,0,9,212,124,154,65,149,35,16,100,118,24,252,71,562,589,189,336,114,167,265,191,39,329,398,88,67,429,1,264,478,69,166,484,55,30,777,18,399,520,759,13,818,722,175,419,230,48,283,664,796,115,23,28,375,724,346,140,133,103,410,21,705,806,64,51,701,604,83,246,7,345,158,389,60,36,382,302,14,2,108,50,755,5,695,694,237,702,547,917,92,639,411,936,732,213,267,238,32,404,190,10,364,321,289,49,180,553,447,247,650,72,218,46,593,925,468,458,96,905,596,217,95,546,223,439  },
{ 14,2,1,22,46,67,7,65,28,24,0,69,38,168,50,36,83,289,5,12,16,29,35,55,86,114,103,133,109,49,18,158,95,108,6,194,584,124,185,610,52,169,10,159,189,105,51,23,21,484,283,9,505,389,236,128,239,267,420,164,13,547,143,54,32,64,71,115,149,75,37,140,251,68,48,208,160,253,708,309,137,96,154,244,312,170,782,202,320,412,577,175,308,424,25,141,336,429,218,344,60,892,835,874,347,398,401,531,230,17,278,388,92,135,797,638,732,237,3,323,39,19,286,99,747,4,66,403  },
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{ 15,1,0,2,5,9,7,23,13,51,901,8,6,12,3,4,180,10,719,341,120,14,31,115,22,141,898,197,82,260,93,21,28,44,457,37,217,125,202,16,153,351,64,110,401,18,11,33,36,961,569,30,77,49,352,450,98,269,139,317,117,116,32,40,453,326,308,128,523,318,365,203,137,730,24,629,854,403,102,39,237,165,55,291,99,475,95,196,48,86,498,134,752,899,373,391,817,244,38,105,242,421,922,59,144,386,57,143,35,349,54,509,482,372,65,253,221,177,304,494,247,638,17,170,72,127,164,114  },
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{ 18,60,16,68,167,191,101,118,212,121,35,126,199,146,647,520,55,9,628,806,621,71,24,107,575,346,363,132,446,463,364,0,566,92,562,28,271,411,252,1,727,21,815,48,407,150,604,598,694,279,932,154,608,49,589,493,439,22,5,7,124,109,706,419,10,108,13,354,14,23,640,467,375,96,273,158,848,302,955,535,175,195,39,818,534,105,125,100,221,522,676,264,777,12,51,50,159,329,32,265,65,259,362,917,98,20,826,783,149,37,31,581,95,169,43,67,97,46,223,147,907,166,590,64,246,36,2,967  },
{ 352,230,531,160,36,748,854,217,93,669,728,137,251,689,871,699,373,228,574,258,202,752,351,717,559,120,144,268,318,260,219,203,269,201,831,533,839,567,539,187,840,213,816,489,679,82,1,317,851,332,44,141,55,295,855,206,30,617,863,418,83,345,926,96,180,443,800,473,116,10,143,326,110,35,406,564,131,224,22,860,276,64,450,28,98,9,21,190,957,466,822,968,244,164,31,434,856,169,384,661,69,898,0,365,730,824,284,125,442,253,128,372,873,498,88,530,922,776,261,165,494,48,237,86,68,940,39,927  },
{ 15,13,51,23,0,77,8,4,5,1,202,33,10,11,165,180,82,22,12,110,115,9,102,197,40,59,342,403,141,120,351,326,7,453,373,31,386,18,93,457,260,49,2,401,318,475,128,28,901,64,269,291,44,494,36,854,719,21,177,14,30,523,961,16,898,57,3,349,421,125,922,99,341,32,730,98,137,203,56,217,317,450,117,615,76,391,498,275,24,352,569,365,95,6,105,308,144,37,196,899,86,65,153,39,535,90,210,629,116,704,247,83,208,237,48,661,752,638,509,17,758,402,133,551,143,139,817,244  },
{ 101,9,100,0,88,217,252,68,39,35,352,562,175,30,115,230,752,213,265,419,13,317,197,166,180,154,237,83,212,158,124,64,321,777,382,208,1,336,410,65,194,759,329,694,36,141,826,289,23,365,724,341,429,128,509,69,165,570,345,676,909,96,346,756,553,21,593,372,854,702,498,55,799,264,399,67,86,190,28,468,589,768,51,364,308,144,677,755,689,323,125,722,482,610,547,391,333,137,789,812,189,546,49,32,952,310,247,274,131,72,16,344,98,10,671,351,435,386,251,478,285,244,901,167,160,484,706,164  },
{ 32,64,95,147,288,21,90,5,519,470,49,61,0,356,22,48,115,362,97,247,312,141,835,387,560,57,56,4,182,128,20,237,178,59,18,11,31,13,107,214,202,28,298,217,44,76,316,7,65,43,259,180,819,874,51,40,23,216,173,330,207,197,150,25,2,86,729,324,120,376,279,140,612,392,595,104,72,66,29,6,352,37,12,210,678,414,172,683,779,490,482,317,291,165,134,102,81,77,58,45,33,26,195,864,795,304,858,87,54,660,427,707,878,465,357,501,232,753,205,177,170,126,117,91,19,597,230,212  },
{ 24,16,14,35,7,18,69,1,50,46,75,5,2,58,163,67,54,70,0,71,28,502,60,48,38,12,9,21,189,103,155,140,267,223,281,108,37,171,430,92,394,65,68,22,230,513,83,10,23,181,32,55,309,87,45,36,236,51,335,29,220,149,307,99,61,133,112,141,64,13,780,52,6,115,128,227,270,72,89,852,537,328,17,150,474,49,807,114,767,221,552,186,96,290,95,20,246,366,77,443,400,137,202,86,269,486,666,388,237,540,25,278,477,217,4,536,218,765,177,19,125,180,165,126,113,318,251,39  },
{ 195,18,354,265,252,411,39,9,363,167,101,682,271,132,16,121,60,1,333,203,21,593,35,146,520,156,364,447,639,360,212,5,24,327,23,627,668,310,404,13,48,664,286,100,538,0,777,676,77,98,821,7,68,33,692,446,865,93,158,576,159,116,115,647,966,883,551,407,272,107,51,687,120,591,463,326,137,71,102,857,31,781,421,37,586,30,44,329,379,50,125,374,166,105,92,96,621,709,142,65,36,127,562,475,109,403,14,126,118,70,346,223,479,199,805,450,190,43,20,191,936,905,656,128,254,12,2,202  },
{ 4,115,13,5,23,141,51,180,2,202,1,217,11,269,318,3,77,341,7,6,317,33,365,0,21,12,352,197,165,9,15,32,102,10,137,40,177,308,752,64,291,31,22,901,349,372,28,8,59,403,90,494,30,237,498,44,120,37,401,125,48,39,14,93,17,244,49,457,569,509,128,153,16,386,98,143,304,36,873,475,196,391,117,482,342,253,210,203,110,453,116,247,373,221,326,24,216,18,144,72,421,260,95,55,134,450,961,576,86,139,719,105,468,35,164,82,57,127,160,89,864,678,523,351,88,275,67,546  },
{ 7,71,24,14,16,35,140,92,189,149,150,108,60,68,18,230,97,69,66,314,273,267,458,388,336,38,2,65,232,251,175,399,118,46,398,172,67,28,462,246,36,55,375,0,705,1,21,124,154,22,298,302,135,95,451,733,877,126,594,423,345,64,467,101,9,74,517,29,48,86,602,236,6,20,191,83,596,52,330,380,32,357,43,5,10,674,50,12,133,49,429,723,103,711,212,346,104,192,114,107,915,278,167,387,37,443,324,309,121,823,54,125,96,633,566,221,796,484,75,109,547,603,13,23,289,809,575,607  },
{ 1,22,31,5,36,12,105,44,2,86,21,170,98,180,127,0,55,141,64,23,7,352,28,13,9,128,116,125,164,239,4,301,49,115,6,95,197,37,3,160,242,51,341,752,202,83,498,269,10,96,165,144,48,253,244,285,901,217,320,365,208,569,137,8,338,299,318,395,293,109,654,93,512,143,32,50,237,317,159,402,864,11,15,708,776,873,169,201,14,35,99,67,638,39,954,30,844,531,479,678,77,69,456,740,533,16,403,308,268,120,751,951,33,961,947,457,286,238,401,276,482,203,601,17,506,312,509,18  },
{ 97,66,192,7,560,52,20,2,135,74,43,173,324,104,580,414,226,107,147,750,204,29,174,500,376,568,825,707,222,0,356,470,77,32,331,194,90,38,729,16,819,298,92,172,355,22,60,64,888,595,357,232,24,18,259,712,202,353,426,81,5,362,262,874,427,526,49,330,14,178,95,885,387,21,10,138,37,861,142,6,33,102,86,28,889,4,359,65,312,36,858,126,59,1,112,792,673,337,58,151,177,91,35,113,319,291,9,115,145,13,636,501,342,448,278,140,12,87,61,71,583,294,751,465,237,246,230,325  },
{ 101,0,68,9,252,154,124,364,166,35,39,100,24,65,419,16,149,694,71,265,329,28,439,158,346,88,30,289,212,404,55,671,703,562,570,49,274,175,429,21,706,589,18,553,118,375,1,722,67,302,22,109,962,190,677,382,333,108,60,23,967,191,168,95,69,48,344,14,51,336,114,254,676,610,484,13,398,10,83,92,7,520,310,857,818,125,264,593,189,64,133,185,826,438,12,32,159,865,221,103,535,50,194,695,286,105,36,604,96,169,420,230,283,701,167,241,131,140,2,350,656,115,272,5,239,637,812,98  },
{ 39,100,127,30,737,836,9,254,856,31,166,190,98,395,0,385,88,931,625,131,373,264,863,93,827,28,228,120,44,125,1,219,116,137,110,382,371,55,13,101,731,299,260,144,908,442,21,77,265,23,456,64,203,51,599,242,33,187,49,326,310,22,224,578,202,5,450,36,272,18,276,16,141,795,82,105,916,284,165,274,318,48,95,512,944,35,716,478,24,935,258,201,616,851,32,557,102,96,252,109,68,269,128,351,435,492,83,724,86,67,7,10,704,293,772,59,921,329,846,156,924,286,197,438,717,4,291,244  },
{ 17,5,45,21,14,2,48,3,32,155,106,227,186,181,38,29,61,209,62,46,328,133,400,80,243,54,56,52,1,51,832,23,19,50,99,255,114,430,6,84,543,536,12,514,401,236,27,37,137,361,552,453,119,136,34,311,58,218,171,221,76,72,4,754,115,281,108,13,285,496,65,454,629,513,41,207,308,540,421,26,290,805,480,541,488,920,657,202,475,11,487,787,128,86,89,569,57,739,151,838,502,36,270,59,403,208,90,10,7,721,474,22,263,745,576,0,457,659,592,663,587,25,161,129,165,148,323,894  },
{ 131,613,224,856,228,406,716,274,827,30,100,219,190,39,166,863,88,931,924,829,944,31,382,44,625,9,127,1,442,385,187,98,116,731,93,578,258,254,530,816,137,871,160,616,960,96,36,310,265,0,371,203,144,836,410,438,264,435,795,125,242,21,202,120,201,531,276,908,51,921,128,23,101,49,839,846,28,737,48,326,5,83,778,13,110,64,284,105,35,492,272,10,557,33,938,115,299,77,252,158,456,367,268,669,217,260,165,213,32,177,22,800,352,473,86,102,69,197,574,321,318,567,141,935,593,403,55,180  },
{ 352,217,752,141,954,864,64,372,437,269,180,115,498,177,349,776,579,291,317,247,77,947,873,717,304,318,678,237,179,23,197,128,33,0,35,165,13,275,68,210,457,341,459,1,67,410,32,143,365,65,244,202,102,9,160,140,137,225,569,12,36,18,125,75,51,134,93,751,15,546,509,86,708,482,928,713,330,312,201,164,144,100,10,7,521,268,246,44,24,21,16,558,55,851,682,342,260,245,120,117,101,98,39,28,726,363,116,110,30,189,72,478,83,744,953,841,824,672,563,358,166,114,92,31,5,386,196,69  },
{ 141,217,317,180,352,365,115,341,5,372,23,13,752,498,253,244,15,1,237,2,51,197,269,0,7,165,21,202,64,349,77,6,137,143,4,318,3,9,901,546,33,177,308,11,32,10,160,12,48,49,482,30,22,125,468,98,373,247,120,102,93,31,864,110,509,260,531,391,28,44,494,437,36,450,569,90,40,490,453,326,221,219,203,16,128,96,82,386,164,72,873,291,251,224,187,117,403,401,210,39,131,116,24,18,473,144,86,37,629,148,105,8,533,951,758,475,421,228,139,170,134,95,65,35,734,704,617,275  },
{ 5,2,45,17,14,29,48,1,21,58,181,38,50,61,3,133,46,155,171,186,114,52,32,27,281,19,6,218,36,236,227,54,361,151,51,12,754,209,26,400,80,137,514,243,65,106,552,487,13,480,334,23,285,86,412,328,108,4,283,502,311,37,56,99,323,22,745,657,208,202,25,62,72,128,115,838,760,59,430,7,34,536,64,70,454,11,76,10,28,255,119,803,194,787,67,421,0,576,57,859,496,103,84,96,18,532,75,165,89,453,389,223,24,920,401,163,73,113,308,828,402,77,739,112,287,148,457,513  },
{ 6,25,2,119,790,29,113,76,26,45,483,655,887,42,292,32,19,4,59,128,151,207,1,306,84,17,814,106,240,90,112,209,61,145,14,177,77,64,65,52,833,27,122,179,491,210,70,0,72,311,115,40,255,58,614,74,85,7,214,202,710,22,5,57,469,21,141,11,123,80,476,95,36,396,33,10,24,269,38,137,102,66,425,23,416,49,194,86,275,504,13,216,56,402,318,46,358,18,138,28,460,624,9,148,50,174,129,618,51,205,87,75,16,291,186,12,217,249,222,287,454,20,54,99,243,315,117,114  },
{ 23,13,51,115,2,4,5,0,141,180,7,11,217,3,33,77,6,1,202,9,317,10,102,197,21,269,40,352,341,32,12,165,16,22,64,318,365,28,128,15,14,18,752,137,59,24,291,308,177,125,31,17,403,498,237,494,372,98,49,117,901,93,196,30,44,153,457,349,8,37,120,134,90,116,247,342,36,482,401,95,35,210,143,221,86,453,260,203,144,475,326,48,244,110,391,386,55,304,873,39,19,569,961,421,105,509,719,546,450,253,864,216,20,402,29,523,72,57,50,139,25,730,373,468,275,65,82,629  },
{ 23,13,51,202,21,141,115,5,165,318,32,12,403,197,453,1,269,120,15,128,2,180,475,125,308,457,401,7,48,6,386,64,0,730,4,9,719,137,3,10,523,18,33,14,37,421,16,99,494,11,260,450,341,221,17,196,93,77,40,217,22,117,90,95,237,899,31,391,247,352,326,28,24,102,19,153,30,317,98,961,817,134,82,44,25,59,8,241,110,49,365,20,26,291,27,61,177,36,351,498,509,569,402,39,203,758,29,72,57,45,629,350,54,116,316,96,752,50,38,349,67,901,65,46,342,304,285,58  },
{ 39,9,100,30,31,127,44,88,0,276,98,131,1,385,254,442,166,49,908,116,187,190,935,201,219,284,827,299,28,224,144,829,96,228,36,274,137,141,101,21,265,716,382,48,51,258,202,23,352,22,125,836,93,856,613,128,839,158,371,264,578,395,13,55,16,180,662,244,269,252,217,567,492,110,310,35,64,77,272,83,268,410,931,203,120,326,752,260,68,318,18,489,293,574,625,160,24,33,115,86,159,924,242,373,165,438,5,450,69,102,616,213,197,918,863,321,295,717,291,82,731,177,456,317,406,7,599,737  },
{ 22,109,49,28,159,185,95,9,105,131,272,327,254,1,67,286,36,39,35,168,86,83,55,169,505,158,224,374,420,127,584,208,98,219,312,578,31,347,535,601,0,69,708,424,44,114,103,30,160,627,346,64,141,194,187,518,175,96,239,345,616,892,10,128,164,143,896,116,137,50,12,5,2,237,228,913,533,13,23,7,21,371,320,597,688,538,751,912,352,323,251,716,165,115,634,202,258,197,498,637,37,531,180,797,874,51,253,768,48,101,890,16,189,201,613,24,752,385,14,170,285,365,406,789,244,218,46,133  },
{ 5,1,21,2,48,14,12,32,22,36,0,17,54,10,38,3,37,86,50,45,65,28,51,72,281,23,4,6,58,114,89,46,137,13,270,99,430,11,7,208,76,202,181,61,115,403,155,9,133,18,540,64,361,221,29,323,480,285,49,128,24,95,218,401,657,421,290,745,19,576,194,55,308,754,59,453,513,920,148,880,96,341,502,52,16,475,77,67,842,40,283,859,318,197,402,494,171,141,474,244,543,757,165,775,90,541,27,33,180,57,83,227,164,217,428,328,269,108,425,569,514,207,31,143,223,263,102,503  },
{ 141,352,269,372,351,217,854,82,752,922,318,180,954,260,317,15,349,1,202,64,120,898,717,77,67,35,864,291,69,365,137,851,437,36,22,5,247,86,373,4,457,450,244,165,189,163,140,68,13,237,901,115,128,304,23,21,341,98,125,177,51,93,32,28,961,160,96,494,110,95,10,0,719,253,661,523,326,767,83,730,275,44,386,418,40,12,817,210,19,17,102,59,45,18,7,579,498,482,615,403,144,11,6,3,203,76,822,475,49,48,31,33,293,284,268,228,187,947,899,587,583,485,474,367,342,300,245,100  },
{ 144,613,203,406,669,418,326,137,228,96,679,494,160,816,1,817,822,36,317,859,840,83,856,876,855,217,251,219,863,831,944,202,576,365,539,93,800,5,345,530,77,128,44,957,748,141,13,839,30,23,21,778,143,341,115,473,617,332,201,64,120,190,492,456,829,531,349,367,716,258,98,48,578,116,180,924,403,187,31,515,966,692,574,442,131,86,931,719,523,450,9,224,351,291,860,752,82,28,10,244,51,371,22,276,39,102,125,730,261,50,851,269,827,335,318,871,704,916,268,110,898,69,67,498,206,177,615,805  },
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{ 23,115,13,51,77,0,1,4,365,2,141,341,5,33,202,217,11,10,317,9,180,102,3,7,6,15,269,22,318,197,165,64,352,12,40,494,403,21,28,31,128,308,125,32,453,59,177,18,291,16,401,475,901,14,24,752,237,93,342,137,349,457,569,44,8,17,372,30,153,98,120,95,49,210,36,498,196,117,110,509,482,421,116,247,386,873,304,37,391,39,629,244,48,139,90,203,143,134,55,86,523,450,326,468,260,275,57,961,144,719,65,35,402,216,730,221,19,253,373,46,50,734,437,678,576,96,758,551  },
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{ 1,31,36,170,55,86,22,44,127,5,301,64,98,164,2,116,740,105,299,12,10,242,237,125,169,338,9,0,21,143,7,512,23,28,841,128,141,13,239,51,395,180,654,208,293,685,37,144,870,923,95,6,599,83,197,115,160,456,900,352,67,498,506,253,165,638,49,3,268,492,137,965,4,479,14,393,763,269,244,185,708,202,109,341,96,365,50,762,509,933,276,48,284,951,367,505,864,751,752,546,320,601,597,35,8,569,634,312,323,217,558,201,391,824,317,401,308,901,457,32,837,159,535,93,873,54,114,38  },
{ 13,23,51,115,32,141,77,177,202,33,64,269,90,4,102,318,128,40,59,21,217,291,137,180,352,210,95,10,48,0,22,5,196,494,15,7,237,14,117,49,18,216,197,125,342,98,31,304,11,9,165,153,403,317,247,86,752,134,28,275,349,16,24,116,365,341,2,6,76,44,453,17,12,20,30,300,221,93,39,143,139,36,1,19,3,402,326,386,312,105,457,65,244,194,8,576,498,901,308,110,99,72,372,120,401,203,50,25,241,144,61,26,208,96,678,450,160,615,421,391,127,114,57,46,37,35,27,947  },
{ 202,260,120,450,318,51,269,77,23,351,1,326,13,128,82,137,141,21,33,15,494,102,523,817,5,403,110,165,922,64,203,197,854,125,32,180,177,291,48,153,196,93,116,12,342,98,352,373,40,4,115,7,475,144,349,36,217,90,2,453,386,16,0,285,95,44,615,237,59,49,31,457,704,6,898,210,24,58,96,86,30,719,117,70,401,216,8,275,28,22,14,402,17,247,50,39,29,18,421,99,37,20,10,391,304,61,25,752,341,730,678,9,365,859,576,473,139,45,961,692,293,661,498,317,214,132,35,76  },
{ 899,523,102,730,33,153,196,117,719,23,475,51,817,13,15,403,453,5,4,342,77,494,40,120,21,11,450,202,421,59,457,12,805,165,139,134,26,19,17,2,1,300,386,801,961,57,32,27,7,6,3,880,197,99,361,757,670,128,125,72,58,56,48,45,37,14,318,64,49,770,247,82,576,260,884,775,635,629,509,485,456,402,391,180,177,141,95,89,84,76,70,62,61,54,53,38,29,25,758,401,269,262,583,409,365,341,331,217,52,968,967,966,965,964,963,962,960,959,958,957,956,955,954,953,952,951,950,949  },
{ 202,494,403,475,523,817,453,450,318,402,120,576,51,13,77,102,342,33,260,128,23,326,5,899,15,4,82,615,210,269,137,351,291,59,196,141,90,730,40,386,285,214,177,21,719,389,49,11,65,61,30,22,48,153,117,457,114,12,3,98,64,44,39,31,1,922,194,216,84,349,165,95,32,28,10,0,757,197,421,474,123,38,961,887,805,690,629,551,401,283,263,207,139,125,118,113,58,848,503,115,41,880,275,24,17,422,319,104,942,854,803,801,704,671,509,416,400,393,372,334,237,227,217,186,180,151,134,96  },
{ 2,29,52,112,66,87,70,151,135,7,226,58,74,307,186,294,172,287,549,644,334,5,14,97,46,75,45,227,331,113,145,6,25,315,155,337,222,1,61,192,32,243,163,311,64,220,38,400,43,262,171,69,21,37,624,461,20,884,122,849,631,416,26,16,48,86,27,24,42,22,19,278,138,92,353,635,36,609,232,0,128,140,10,500,324,50,17,72,665,59,12,95,76,90,409,209,35,4,396,491,614,65,18,496,415,54,721,568,592,67,632,49,141,137,80,28,89,204,659,869,60,106,426,845,448,177,207,115  },
{ 1,349,652,5,260,291,77,39,342,102,120,23,100,888,13,269,64,340,264,51,303,698,32,2,202,21,9,296,33,98,70,385,163,638,318,137,327,87,293,58,50,128,48,195,69,774,141,75,121,7,658,850,326,96,371,284,223,931,863,759,132,126,92,71,221,678,203,82,551,961,937,615,575,563,494,105,83,67,55,36,30,27,17,771,418,115,90,31,156,914,687,393,372,12,6,3,622,144,922,898,854,731,691,478,403,367,363,352,351,333,310,286,170,146,0,950,230,93,95,49,919,954,947,865,851,765,751,719  },
{ 1,5,2,13,4,23,7,3,15,0,6,180,51,115,141,341,11,77,269,352,21,901,217,197,365,33,12,32,177,752,317,202,318,165,40,9,102,10,291,93,8,569,31,22,349,498,120,90,44,110,401,59,37,304,326,48,17,64,372,403,196,117,16,98,14,457,210,453,125,494,28,36,386,629,247,153,475,30,308,260,134,873,116,253,373,450,18,237,244,482,203,49,128,961,275,137,144,216,509,523,421,391,143,342,24,719,105,95,55,72,76,89,39,206,437,139,468,57,579,758,730,864,546,127,221,96,734,19  },
{ 14,7,16,46,24,2,35,70,92,58,5,38,75,18,140,60,87,171,220,54,1,155,69,307,50,21,163,48,71,32,112,0,37,12,23,278,780,502,126,9,61,52,186,172,135,45,28,64,29,13,67,227,20,107,22,115,97,513,51,10,267,72,68,270,128,230,89,314,666,330,246,141,6,232,189,36,400,177,66,108,290,150,17,309,55,430,767,334,77,474,121,262,103,243,409,223,137,83,43,113,202,592,217,461,49,95,315,571,65,181,394,357,86,281,269,774,294,236,380,852,536,845,76,90,25,102,298,4  },
{ 226,135,87,2,29,66,74,52,294,278,222,220,75,7,172,145,331,70,324,262,97,6,25,112,138,337,140,42,1,92,461,26,69,38,500,58,357,14,380,5,287,16,46,571,232,620,808,632,267,163,32,24,35,583,853,774,43,314,609,45,171,21,298,353,19,802,95,60,151,415,448,409,64,67,192,22,65,396,85,525,37,174,307,189,872,204,20,71,50,12,330,86,622,61,48,27,36,186,394,764,113,54,335,563,114,108,309,150,950,72,155,17,10,572,122,635,544,103,96,606,28,893,246,18,49,230,550,334  },
{ 15,33,77,117,134,153,102,4,40,196,1,217,21,11,291,13,32,5,177,202,51,115,3,23,141,2,48,317,180,349,59,137,372,128,17,269,342,210,341,96,57,64,365,120,247,12,216,82,221,139,318,110,6,260,93,90,352,898,450,165,10,36,31,197,275,523,7,37,72,494,203,244,457,56,351,579,125,111,8,237,817,326,403,0,752,98,922,961,901,160,277,22,719,730,144,44,206,14,386,899,86,45,482,437,304,373,143,89,569,9,116,453,475,308,253,300,61,105,76,27,638,164,95,49,490,29,18,94  },
{ 217,15,317,82,351,141,260,854,13,77,23,120,51,922,115,1,21,180,110,137,365,341,352,372,269,349,898,291,36,202,64,5,32,450,318,373,177,128,752,96,304,523,93,33,48,165,326,197,102,0,10,40,901,9,4,160,498,247,90,244,661,203,22,59,482,2,12,143,86,437,386,83,457,28,473,30,67,253,961,11,35,16,221,24,125,117,391,39,7,811,494,88,37,8,69,719,559,3,817,704,237,216,76,72,61,14,873,403,18,642,31,899,210,164,45,730,717,49,179,134,139,851,475,421,251,223,100,56  },
{ 190,373,31,30,863,908,120,88,110,127,260,442,856,318,254,326,717,935,131,836,228,93,187,44,39,385,299,100,968,274,219,203,82,166,224,197,116,661,276,77,1,217,98,269,86,450,51,371,36,128,180,829,137,372,341,160,704,141,64,435,202,49,395,144,9,23,918,410,28,22,730,778,244,242,351,55,737,523,827,177,851,625,944,382,272,530,317,115,349,352,96,613,492,291,954,32,931,744,716,125,268,258,284,253,686,48,615,515,367,247,21,33,456,165,321,795,10,567,466,225,83,839,102,578,521,919,817,752  },
{ 23,13,308,115,401,51,165,9,391,21,629,254,125,159,773,197,743,569,49,468,217,438,656,627,341,89,39,558,221,32,317,386,509,350,28,95,530,228,457,867,109,166,406,876,679,48,669,364,219,158,365,346,168,912,810,101,170,105,72,64,143,30,347,258,967,237,148,90,688,274,131,670,272,185,749,843,33,12,10,187,55,175,141,4,734,758,242,196,190,453,261,518,224,902,747,286,482,164,37,333,241,2,439,102,0,424,420,393,706,613,338,153,67,372,351,68,40,310,120,816,634,332,840,35,320,88,86,289  },
{ 49,5,165,125,21,173,43,623,104,193,422,102,13,7,91,18,95,22,0,192,141,64,48,197,900,693,558,105,51,23,32,232,391,387,314,98,31,116,20,779,202,81,92,319,408,241,16,126,38,77,494,33,784,643,474,11,221,28,712,138,862,663,595,403,350,879,29,510,27,633,180,140,729,397,172,44,4,858,237,61,718,501,359,71,60,58,511,448,370,356,750,490,482,347,344,316,308,177,93,37,24,498,293,115,158,145,72,65,40,830,246,207,63,85,107,841,569,468,414,352,330,326,269,203,69,14,12,2  },
{ 4,1,2,5,13,23,77,115,15,3,0,341,7,51,6,11,33,202,102,217,12,180,10,141,9,40,21,317,318,177,365,901,197,269,32,165,352,22,59,8,64,31,291,14,494,403,93,17,401,569,752,16,453,37,342,210,110,153,275,18,475,44,125,196,90,28,308,326,386,98,120,117,116,372,457,128,349,36,95,629,49,421,237,48,139,203,260,244,450,498,137,134,304,30,24,523,144,247,373,719,216,57,391,961,86,482,143,253,39,730,509,111,55,221,817,96,615,19,65,873,351,758,99,670,437,72,50,734  },
{ 843,295,93,120,160,206,36,943,567,373,384,332,268,137,261,141,201,260,110,10,203,531,144,55,64,617,434,197,258,699,116,244,282,318,559,564,964,269,44,352,911,717,253,860,202,180,31,326,533,1,940,143,473,417,728,661,276,351,959,187,22,341,851,535,219,871,855,28,367,127,82,131,115,450,365,86,901,752,926,317,21,51,98,48,77,165,23,105,224,96,968,662,217,13,8,902,574,489,125,817,349,800,523,515,83,704,49,811,498,164,494,39,5,393,228,32,291,251,128,9,12,898,642,576,69,67,873,839  },
{ 192,81,43,173,426,879,7,715,172,104,712,91,636,526,232,825,568,97,560,5,95,681,448,66,49,861,32,387,370,74,20,750,33,204,22,707,330,729,718,140,61,0,6,356,397,69,21,117,422,347,135,359,38,92,102,263,348,64,174,4,414,153,888,237,138,319,76,298,40,13,885,52,2,107,86,500,25,196,784,595,77,819,241,180,134,58,207,85,29,42,31,355,65,577,72,18,28,1,343,48,392,23,10,126,89,324,37,189,344,233,314,11,933,71,14,511,16,408,115,673,46,498,45,671,125,60,858,246  },
{ 475,453,403,51,33,102,494,23,196,13,202,153,117,77,0,318,128,757,421,22,342,730,899,817,18,805,65,15,958,450,134,4,402,24,36,59,269,40,49,210,401,1,28,697,670,64,11,114,291,48,16,576,108,386,523,141,57,177,21,20,86,165,133,95,90,120,365,317,326,260,221,180,137,31,10,115,752,99,498,457,391,361,352,70,50,32,349,113,9,6,3,864,838,770,743,373,351,338,268,242,206,125,116,109,5,283,253,84,17,961,801,791,546,372,341,237,217,214,205,194,163,143,96,72,69,68,30,14  },
{ 141,269,260,318,352,202,120,351,349,137,854,82,1,851,922,5,180,372,291,64,32,947,21,15,77,752,494,13,48,304,33,7,51,717,23,217,373,177,128,678,450,115,237,326,317,70,898,36,403,704,312,4,160,102,86,90,968,247,95,87,196,49,275,244,197,22,165,67,96,35,288,203,817,735,125,342,144,93,16,216,163,50,44,31,83,954,2,69,597,457,241,59,153,961,221,110,98,39,30,9,8,901,661,551,523,473,442,386,367,284,210,864,117,61,12,0,800,29,24,863,859,730,719,475,453,385,316,293  },
{ 15,1,2,13,5,4,3,0,23,7,6,115,217,12,180,197,9,51,21,11,352,961,8,10,165,77,457,341,141,317,22,14,901,33,31,117,93,120,102,40,134,752,202,365,260,16,37,269,569,110,32,44,28,318,64,18,17,48,351,719,153,386,177,82,291,36,196,98,873,450,49,125,59,128,498,403,72,326,482,30,523,401,99,854,308,203,24,453,89,137,95,391,509,111,349,86,139,730,372,247,144,55,210,116,342,494,304,475,373,148,922,90,105,237,661,35,579,899,143,221,39,19,629,275,421,758,244,468  },
{ 166,39,274,404,101,252,190,30,333,9,310,0,100,438,656,158,265,88,68,625,329,530,553,419,344,539,254,455,793,778,21,48,759,228,49,676,1,131,960,709,557,731,520,154,23,35,382,13,124,364,604,677,105,28,272,16,286,406,212,31,51,18,613,219,224,593,840,159,167,125,36,98,65,518,669,865,118,24,44,96,213,748,264,777,115,83,175,22,86,538,957,221,127,55,327,5,10,857,694,688,137,258,795,410,806,627,95,71,577,289,128,116,578,32,50,242,69,724,187,352,562,346,616,67,33,827,846,191  },
{ 28,0,1,9,22,65,12,83,67,55,109,50,24,5,36,49,39,96,35,238,16,18,2,21,114,124,69,37,7,218,48,23,323,103,158,160,168,54,51,128,285,154,13,68,185,137,14,194,99,141,95,169,181,418,289,420,202,433,86,30,75,480,175,10,505,105,115,32,402,281,223,389,269,208,646,503,745,64,133,46,180,657,159,800,531,547,251,956,101,429,4,318,31,149,163,6,70,346,58,532,822,533,484,757,797,165,335,252,197,735,570,352,283,361,71,98,29,118,3,535,927,766,221,217,38,799,237,308  },
{ 15,1,2,0,23,5,51,13,7,6,9,180,12,115,3,457,197,8,719,21,730,4,120,901,141,202,14,33,165,341,453,386,82,31,260,351,365,523,308,64,37,22,44,401,450,32,40,16,93,77,110,10,98,961,403,36,102,899,28,217,11,125,352,196,48,318,137,317,475,153,18,269,49,569,116,752,99,326,421,128,24,30,221,95,39,203,117,873,144,817,629,758,177,55,86,35,494,509,898,373,59,237,105,17,65,291,96,89,498,670,482,247,253,134,468,38,143,54,244,72,90,372,160,854,127,210,391,801  },
{ 9,39,166,49,30,28,0,158,22,131,180,100,219,35,352,190,345,228,1,752,88,498,115,141,274,317,482,109,83,128,930,251,36,217,95,365,230,55,101,160,254,165,224,159,168,23,341,13,105,31,208,187,258,927,310,197,69,137,333,901,864,364,64,185,269,86,344,505,252,202,404,68,286,873,539,372,96,669,438,51,10,164,67,5,868,346,244,637,439,2,7,21,748,323,406,418,318,16,237,44,272,50,840,706,420,265,127,98,946,735,793,768,579,169,125,530,175,148,327,857,702,678,238,116,12,48,533,335  },
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{ 31,44,299,22,125,599,456,685,116,28,492,393,170,242,144,268,963,301,506,1,95,558,367,36,239,55,489,0,918,109,206,23,105,9,10,434,127,51,384,13,86,286,948,479,98,64,841,5,338,2,93,12,203,498,164,7,512,168,21,143,165,49,903,940,320,401,391,137,8,37,900,417,352,141,115,128,546,253,457,959,237,14,185,197,308,169,202,395,282,421,374,911,180,740,332,293,386,6,24,312,855,538,509,752,244,473,65,928,762,160,638,617,341,269,961,867,949,730,654,403,551,499,965,523,48,719,16,453  },
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{ 64,297,5,80,445,61,95,311,250,312,472,34,237,86,45,180,738,17,151,58,22,667,869,247,2,14,73,288,194,106,53,21,128,197,352,177,32,29,186,469,833,217,52,165,287,255,3,1,495,391,396,243,176,137,90,546,125,56,161,141,136,592,48,10,209,27,0,231,76,751,62,11,437,315,119,887,115,334,179,23,84,498,651,207,77,4,864,145,13,881,389,304,6,59,49,631,372,65,16,240,164,153,112,378,549,483,584,527,316,26,862,509,409,752,51,7,875,18,933,171,269,196,457,283,241,148,114,19  },
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{ 195,360,156,591,687,771,163,626,70,883,146,132,586,371,407,379,354,48,846,121,293,13,296,31,761,98,18,767,49,105,385,44,279,522,668,21,1,55,23,125,5,518,271,127,590,878,340,10,608,223,33,807,167,259,77,447,116,75,60,658,102,446,265,929,115,128,35,457,221,87,786,301,284,4,95,51,165,395,39,481,698,541,781,291,178,664,372,150,252,777,557,64,30,24,16,153,120,40,558,535,281,107,465,763,638,783,663,393,101,937,9,467,58,196,217,144,61,401,212,199,117,299,941,32,22,817,260,118  },
{ 13,77,202,318,23,51,33,269,141,64,137,32,291,0,128,102,21,494,4,10,403,217,177,342,5,196,9,349,117,22,153,134,98,95,115,59,31,120,753,18,16,40,48,28,90,372,317,237,49,450,1,86,65,244,352,475,194,11,180,165,142,100,44,125,76,12,116,93,523,275,127,121,24,20,453,365,341,61,859,401,144,82,402,210,198,178,147,88,37,17,2,351,234,105,7,6,326,197,110,30,203,143,922,854,851,427,325,259,118,107,101,72,55,704,421,260,114,36,208,329,265,38,164,864,752,717,558,498  },
{ 192,81,172,173,7,426,97,232,861,715,43,879,66,712,104,387,330,568,825,74,526,893,91,298,885,448,636,681,140,92,49,560,6,204,135,779,22,5,95,572,707,64,125,726,750,14,370,563,314,20,324,10,362,29,174,246,713,0,718,356,107,138,25,397,85,63,18,38,71,21,441,98,58,500,230,31,501,32,319,408,69,729,189,13,663,422,24,784,359,241,858,165,16,347,263,77,357,623,673,26,888,2,12,353,900,141,23,52,126,37,33,622,278,830,197,48,233,40,443,355,44,42,45,267,87,19,61,237  },
{ 14,2,1,67,6,24,69,66,7,29,38,108,36,65,83,124,46,52,150,86,25,484,28,302,74,22,388,18,267,398,458,103,50,273,168,97,12,5,16,0,650,135,26,19,160,75,172,189,21,10,208,32,289,278,380,547,782,95,610,140,51,602,118,37,114,451,429,357,42,71,23,324,505,194,149,420,48,143,92,87,17,13,421,115,60,54,70,35,584,96,756,462,20,238,109,185,27,164,64,45,220,244,253,594,3,154,99,138,43,283,335,701,133,309,128,403,797,49,58,732,550,202,169,646,401,423,218,847  },
{ 202,77,33,13,102,128,51,318,23,64,494,4,141,196,59,0,115,403,40,22,269,210,177,153,137,117,32,90,10,475,291,21,342,15,11,134,352,95,18,65,49,217,86,16,180,36,197,453,165,275,57,1,402,9,194,48,24,341,719,28,105,6,123,349,317,285,523,125,120,372,216,14,450,365,20,457,2,237,7,82,576,98,3,421,12,5,260,247,110,730,116,44,31,901,752,300,8,208,30,498,351,96,93,139,678,164,46,19,401,386,308,817,615,214,50,35,961,758,859,326,160,17,503,391,293,242,221,203  },
{ 269,318,141,291,77,202,349,217,947,304,33,177,102,851,372,352,753,260,351,120,5,137,854,752,494,275,403,32,922,22,180,475,21,317,30,10,954,31,64,44,418,365,49,28,48,450,39,23,95,341,661,373,82,11,4,36,93,13,61,128,7,6,3,2,859,51,0,197,800,576,96,59,901,69,165,40,203,144,247,1,86,898,12,76,70,160,498,437,342,237,125,9,433,330,238,103,98,67,453,312,864,367,326,253,87,58,361,221,99,90,888,717,678,579,65,774,241,115,50,45,968,951,704,615,473,277,244,134  },
{ 6,74,138,85,66,222,226,87,42,280,25,135,26,792,500,294,75,29,220,204,70,174,337,145,235,112,278,853,461,19,52,97,1,32,122,38,808,2,256,172,64,889,69,324,380,774,620,802,609,525,7,95,353,21,571,5,65,580,746,415,22,108,140,96,14,241,24,331,63,45,544,287,67,237,267,125,262,92,394,348,103,86,163,632,426,90,194,606,165,630,550,58,53,36,233,76,91,192,357,28,27,17,141,189,416,72,582,486,81,49,114,16,622,113,78,115,10,928,444,537,872,462,46,605,83,350,335,150  },
{ 9,0,105,39,101,18,16,68,310,24,333,272,252,127,98,518,846,938,28,371,1,916,35,158,286,737,455,31,301,265,327,100,395,616,49,30,254,7,578,55,23,827,118,512,109,44,329,21,65,890,60,320,242,116,137,709,170,51,385,125,48,761,166,14,5,2,13,71,293,131,520,627,154,159,299,557,344,836,12,553,364,93,202,96,167,88,623,128,36,124,506,64,688,212,604,924,910,931,120,284,50,144,10,419,22,165,219,32,37,95,77,110,121,326,67,403,404,203,442,197,187,6,141,676,276,260,239,33  },
{ 2,14,1,67,46,24,108,29,83,69,38,103,52,75,133,236,309,36,114,28,50,18,398,135,6,65,458,278,7,238,74,87,160,388,124,220,732,0,267,262,66,149,532,335,283,25,412,71,16,5,96,55,547,154,70,273,602,22,302,418,429,218,516,366,646,150,336,357,86,696,175,26,189,54,12,68,118,226,35,172,324,58,582,19,486,208,9,21,594,109,531,112,45,484,140,596,251,60,95,323,17,10,32,37,194,394,64,650,48,168,163,145,42,571,97,222,23,420,505,27,181,92,389,533,606,171,361,99  },
{ 22,1,28,105,95,49,55,67,168,159,239,65,14,320,35,0,2,36,114,7,170,109,83,12,169,347,194,50,301,69,9,24,5,424,164,185,103,133,654,46,312,420,16,127,10,175,158,64,584,21,23,51,98,143,31,86,286,13,37,289,6,336,389,48,283,505,96,124,68,38,638,512,160,208,39,141,202,18,115,189,128,395,54,623,874,338,237,713,547,44,272,308,740,137,149,371,125,251,32,30,518,345,844,535,180,3,293,928,756,916,242,29,835,165,538,708,327,323,99,737,484,221,401,218,533,374,253,154  },
{ 66,7,172,97,232,92,314,568,298,140,192,380,135,330,74,324,387,448,357,14,526,126,38,246,204,16,426,107,572,52,2,808,712,501,359,60,69,278,29,230,32,779,441,500,35,95,550,5,21,22,893,6,43,563,392,104,267,46,24,150,362,64,726,138,189,423,173,65,825,71,356,20,462,279,0,12,802,87,86,174,560,10,81,18,49,37,226,830,633,25,48,28,90,289,58,36,67,75,707,91,508,241,312,1,85,451,220,70,443,199,214,636,50,108,83,61,54,222,121,353,262,125,280,45,888,750,237,42  },
{ 2,29,52,50,46,14,5,1,6,26,133,114,58,218,366,70,19,108,45,27,112,17,236,137,75,38,262,25,74,13,283,516,53,487,223,151,145,208,96,48,51,412,287,163,23,401,323,285,86,65,171,61,36,220,21,480,594,42,128,80,331,73,103,754,181,115,12,739,113,3,532,4,194,54,602,635,186,99,202,409,675,745,34,308,583,307,357,309,782,396,150,57,361,7,764,165,66,735,324,64,966,457,453,90,24,386,445,11,484,32,389,141,629,59,87,244,155,956,711,670,421,22,545,832,758,334,328,573  },
{ 6,74,1,25,29,42,75,26,66,2,70,138,52,19,85,220,103,388,38,14,226,87,135,324,67,357,108,112,235,69,238,603,222,65,550,500,96,114,145,594,83,309,133,516,27,36,150,451,218,294,262,532,711,51,58,602,280,13,163,50,380,63,137,97,802,23,122,278,458,64,5,394,86,53,606,696,792,46,891,160,461,267,732,12,7,204,582,113,308,453,24,545,889,386,331,45,21,165,398,486,391,115,32,423,401,95,337,758,632,17,208,3,853,457,256,537,335,78,630,141,307,189,641,37,646,444,670,10  },
{ 22,28,109,49,9,105,131,95,1,36,159,39,86,185,31,98,272,169,127,55,44,219,83,254,286,208,141,128,35,327,352,160,30,180,116,0,224,202,115,239,13,535,187,137,5,96,12,374,317,269,2,244,837,312,752,67,531,21,533,253,237,197,64,217,51,143,168,158,578,251,318,505,37,258,165,285,365,10,7,23,498,201,538,371,901,320,50,424,347,678,48,69,164,776,708,601,341,597,616,345,228,170,873,238,634,6,947,3,482,93,125,144,518,242,946,913,864,716,4,735,8,627,221,420,100,688,910,323  },
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{ 98,616,219,127,258,51,293,512,924,395,105,421,272,276,308,201,401,284,763,116,23,301,295,453,327,567,944,31,44,843,261,13,268,860,170,770,115,125,569,900,131,386,144,935,456,55,578,365,320,143,341,662,137,109,28,403,434,242,221,36,203,670,286,141,10,326,22,629,21,943,95,9,743,685,160,384,623,506,180,49,206,949,533,719,734,558,282,299,185,159,244,64,8,0,110,964,911,169,32,4,224,551,202,475,11,187,910,617,492,901,253,841,716,1,489,269,959,940,165,699,615,374,855,332,237,713,86,371  },
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{ 49,254,272,159,9,158,627,131,327,39,518,688,0,578,28,286,68,105,101,347,424,374,364,344,224,22,333,616,65,219,35,24,124,154,716,890,95,577,16,371,320,109,810,538,228,168,310,793,747,127,30,419,613,829,827,187,385,239,846,170,21,1,98,18,36,71,938,406,910,252,31,55,346,175,23,289,51,190,48,258,86,185,83,912,100,623,301,166,128,149,125,67,118,96,44,137,64,242,13,737,857,160,703,671,694,455,202,442,169,60,856,10,761,924,221,709,116,706,634,114,439,677,194,479,7,570,212,395  },
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{ 16,24,71,35,18,108,140,60,92,267,68,189,7,230,191,246,149,14,118,167,388,46,69,236,458,399,674,212,273,9,133,1,126,150,21,309,330,50,101,55,2,48,103,121,67,906,602,5,0,345,723,412,232,172,271,146,565,28,516,696,702,75,38,65,451,32,796,12,37,594,633,154,278,733,375,366,302,199,124,314,36,336,398,443,823,64,695,54,135,114,29,22,95,97,462,915,52,563,582,251,705,575,891,589,175,10,83,566,572,13,220,223,23,467,218,830,163,363,394,66,562,132,107,446,641,517,49,86  },
{ 9,127,0,395,371,98,39,31,737,49,512,385,272,44,28,293,299,101,836,761,158,252,254,16,242,1,284,159,116,18,518,35,276,310,333,24,187,51,21,599,137,30,301,22,131,68,286,23,219,327,202,125,616,48,442,935,456,578,916,5,109,166,685,55,265,7,65,100,688,128,105,201,36,890,623,96,144,13,908,329,12,2,846,64,37,95,141,344,455,318,403,124,93,492,154,32,404,14,203,269,938,627,67,258,118,224,170,244,326,110,268,165,367,763,86,60,827,221,716,160,924,553,120,419,489,662,10,83  },
{ 16,18,60,68,35,101,252,0,118,71,9,419,28,24,109,364,604,191,126,167,55,121,329,92,7,158,265,39,212,22,346,14,925,49,107,694,185,169,621,146,439,333,628,124,199,150,942,21,159,48,154,553,706,175,108,575,279,677,10,962,20,105,100,848,917,815,446,363,907,132,5,793,271,375,43,149,23,65,13,566,520,806,286,810,95,166,593,374,302,51,1,97,634,598,404,407,12,31,2,272,493,46,467,727,463,562,589,125,326,327,310,50,967,96,682,168,37,344,140,608,203,98,38,647,821,246,362,67  },
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{ 5,1,14,2,36,50,28,0,48,281,21,67,24,54,22,83,218,12,38,18,65,181,58,45,114,133,430,32,17,46,96,10,9,103,37,160,502,61,155,99,270,55,72,7,29,513,16,51,108,487,238,23,543,745,86,3,290,6,540,89,361,115,834,13,52,202,221,433,842,488,480,137,236,76,69,328,223,64,838,514,49,532,35,666,474,128,171,283,766,536,227,124,966,308,75,19,552,95,70,208,775,141,323,27,541,822,697,425,754,765,4,285,207,148,657,109,318,412,243,263,77,592,832,663,741,186,807,576  },
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{ 15,4,33,77,40,13,102,11,23,5,32,21,110,117,217,51,93,153,59,1,247,134,115,141,64,202,120,2,372,180,3,10,12,31,82,291,177,116,139,125,269,196,8,317,17,22,165,137,98,351,318,36,44,128,203,197,28,0,352,48,260,349,898,144,57,403,450,437,6,719,341,72,304,111,457,523,90,365,494,9,326,49,37,730,7,210,39,86,30,14,475,95,386,453,638,961,854,373,76,401,901,237,277,752,56,342,160,817,244,758,402,308,899,143,89,206,216,569,421,615,61,535,45,18,316,127,164,579  },
{ 23,13,51,1,15,5,2,7,0,21,180,6,115,12,141,9,165,3,197,457,202,4,14,352,719,48,33,32,16,269,37,217,341,8,11,401,120,318,308,22,386,77,31,18,128,752,40,110,260,10,28,453,730,93,137,498,901,403,391,153,82,317,365,117,44,102,17,523,961,569,64,450,509,72,99,49,134,36,758,59,98,221,24,629,89,30,351,475,196,326,125,177,494,291,90,421,237,29,899,203,35,39,247,864,817,95,372,96,349,20,116,854,65,38,54,160,19,144,57,86,244,304,873,55,342,373,350,316  },
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{ 9,28,0,39,101,30,49,35,68,1,67,166,175,83,22,158,100,252,141,55,88,69,65,109,36,23,180,217,323,115,64,269,345,103,21,124,10,317,13,251,289,238,364,498,154,352,230,5,419,131,190,31,7,51,194,48,50,346,96,128,439,159,160,105,202,24,274,143,952,95,16,168,12,646,341,254,752,86,868,365,637,596,244,127,137,570,433,318,418,114,864,208,44,37,503,404,372,2,32,344,197,333,116,532,218,77,98,187,237,164,125,723,535,443,480,169,265,901,189,310,221,420,336,873,797,403,402,285  },
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{ 141,559,244,10,661,253,564,143,365,533,752,180,55,110,901,160,922,373,341,317,93,535,352,206,260,531,36,197,332,269,82,642,282,964,498,911,717,261,728,873,943,351,137,64,417,854,120,1,811,9,115,217,898,169,28,165,164,86,384,203,22,15,83,21,959,96,617,499,318,35,31,8,482,295,951,251,345,372,902,5,473,601,144,32,546,843,800,237,13,864,44,509,109,824,67,268,450,391,308,349,23,258,77,567,851,291,202,116,949,615,125,926,954,638,551,569,457,51,326,102,59,434,817,418,958,719,629,523  },
{ 219,258,276,127,284,98,935,860,943,843,567,201,137,295,964,131,261,116,535,662,492,44,160,253,31,224,206,203,615,268,144,332,293,692,924,918,384,244,944,326,36,128,434,395,716,737,367,456,187,55,96,403,551,318,911,617,616,385,699,533,115,940,202,365,10,836,576,966,523,959,77,28,21,93,9,120,489,141,1,260,48,371,531,217,143,282,564,125,110,180,51,704,421,299,39,23,64,363,254,393,442,242,494,417,105,822,473,317,578,269,272,697,22,855,102,805,475,13,948,341,0,373,33,285,82,49,932,574  },
{ 422,319,0,945,207,887,32,577,693,43,95,20,904,22,344,61,104,804,707,306,426,124,5,725,7,241,153,325,316,49,715,414,113,671,115,239,263,329,173,198,180,102,18,365,117,83,24,33,376,510,942,355,324,140,134,69,21,9,232,77,76,240,237,196,189,177,160,158,36,10,835,292,341,526,334,331,168,92,48,16,330,37,25,204,64,901,595,416,392,347,858,362,244,174,164,149,97,86,60,58,39,31,30,27,790,770,222,65,2,350,40,11,4,814,13,933,424,159,819,397,697,623,610,491,403,387,315,288  },
{ 1,22,12,5,2,0,36,21,28,49,105,86,95,37,55,9,7,48,23,32,141,83,10,51,31,96,269,202,13,128,50,4,160,239,208,318,14,168,159,6,3,170,44,67,164,54,115,285,99,35,109,98,244,180,64,137,402,65,24,127,16,352,320,18,197,69,323,30,158,11,169,301,708,678,238,312,77,717,597,39,143,165,584,194,125,17,253,217,341,735,281,114,116,218,654,181,403,237,424,103,347,317,185,177,45,401,15,776,242,29,46,72,68,418,498,433,223,33,569,901,480,531,40,657,365,800,851,8  },
{ 15,13,2,1,5,23,3,0,4,7,6,51,115,9,10,12,197,11,14,77,22,217,269,8,165,31,961,33,457,202,32,180,21,341,40,141,120,102,177,16,569,453,28,318,317,17,260,291,44,365,93,37,117,134,110,30,352,18,403,719,153,196,49,401,59,475,901,36,326,98,64,304,386,125,498,730,349,494,450,137,48,247,95,90,523,308,752,24,128,210,111,99,82,139,372,203,873,57,76,116,237,342,72,629,351,391,482,509,19,421,39,144,373,35,55,216,89,275,437,817,20,86,105,56,899,96,38,65  },
{ 23,202,77,51,13,120,1,141,15,326,180,269,260,137,318,102,450,5,128,21,110,217,291,165,197,352,115,317,373,2,48,12,7,0,523,33,203,386,403,9,96,64,93,342,6,351,82,32,14,457,177,16,36,817,349,752,494,37,4,475,18,210,901,854,341,285,615,59,275,90,498,50,244,160,391,453,99,308,86,10,365,401,22,719,922,8,221,24,730,28,704,402,421,11,125,83,67,237,661,3,40,898,30,153,35,961,31,196,65,253,39,576,17,44,247,20,569,300,95,49,899,116,509,473,117,143,70,372  },
{ 15,1,0,2,51,13,23,5,7,180,9,6,12,4,115,33,197,523,21,120,3,8,14,457,901,165,351,141,450,260,202,365,341,82,16,40,730,31,37,308,719,401,77,93,44,18,10,899,64,453,403,32,137,317,386,217,36,48,110,98,475,102,326,28,22,128,269,30,11,116,569,421,352,318,817,752,24,196,961,221,99,39,49,144,153,629,55,89,17,203,373,35,117,59,801,898,291,873,177,509,86,125,494,244,95,160,482,134,498,854,72,372,96,615,349,468,38,143,758,237,90,127,391,54,342,670,734,247  },
{ 16,24,18,92,35,71,60,7,75,126,140,108,50,132,9,21,68,121,14,246,13,0,146,23,267,1,48,128,220,107,70,230,150,32,12,199,118,5,394,181,87,137,537,46,51,133,269,189,141,54,64,22,167,10,202,156,2,330,281,820,171,77,99,291,774,217,177,349,58,65,39,37,103,69,163,28,95,67,622,318,309,633,86,236,101,360,372,6,563,36,195,304,115,38,641,314,30,149,522,232,20,591,352,354,49,545,55,98,571,271,317,526,649,407,672,278,100,640,586,45,223,114,31,678,430,237,388,328  },
{ 180,341,901,15,1,365,5,2,0,4,197,7,6,115,3,752,10,13,569,317,873,23,165,8,55,141,9,143,44,93,31,498,217,51,638,253,509,308,352,12,22,401,244,36,116,33,21,11,206,64,144,120,951,391,629,137,16,37,86,372,269,125,734,386,134,110,351,40,18,421,417,260,77,282,117,326,268,499,102,457,164,318,482,373,237,203,170,127,95,35,661,642,82,202,177,559,468,261,201,196,160,221,105,961,32,28,854,551,169,24,349,811,762,728,564,338,14,242,717,291,109,153,139,128,403,312,437,851  },
{ 9,0,101,175,35,28,39,68,364,67,252,65,124,289,158,336,154,166,83,55,100,114,439,103,419,69,49,194,346,1,30,189,345,570,109,88,22,168,64,251,50,16,547,36,230,96,596,133,389,868,265,238,149,86,429,24,694,21,128,218,637,399,141,703,23,646,51,826,13,671,208,677,159,706,95,137,7,797,505,610,237,12,115,756,10,404,484,131,768,190,2,333,71,164,18,799,329,323,344,967,283,202,274,420,782,930,48,105,286,140,217,702,480,143,212,54,37,962,269,14,857,185,310,532,254,535,197,118  },
{ 64,115,180,197,237,165,391,247,217,352,386,316,304,32,90,13,21,468,95,72,317,76,498,89,365,291,141,125,22,509,349,288,179,86,546,98,372,23,341,225,437,49,116,569,645,796,923,459,18,411,308,177,48,640,4,586,490,16,5,12,591,312,241,933,117,35,65,134,482,752,672,269,164,77,156,302,71,1,264,873,410,321,118,446,360,271,102,59,24,682,674,246,953,88,149,751,51,521,92,823,447,144,864,37,7,11,695,702,166,781,698,662,647,588,458,403,401,363,283,239,216,194,170,153,57,33,28,17  },
{ 15,13,1,2,5,23,0,4,7,3,115,6,51,217,9,12,197,10,141,21,11,961,457,180,8,341,77,33,165,22,14,32,31,317,202,120,40,37,177,260,16,102,93,269,901,365,352,28,44,247,318,18,117,110,134,17,386,569,372,719,752,59,48,30,36,498,153,403,196,49,450,291,82,72,125,137,304,128,453,391,730,401,98,873,349,373,523,139,509,24,64,326,39,90,475,111,99,308,899,116,95,89,482,203,351,210,86,922,144,437,629,55,57,421,148,494,342,854,35,76,20,179,817,758,275,105,237,216  },
{ 132,199,146,121,407,60,493,279,640,598,534,522,195,581,590,955,360,126,259,107,150,783,362,35,5,156,271,49,167,939,18,16,147,612,941,591,467,21,883,465,423,929,0,10,191,92,22,298,441,356,446,13,70,48,7,31,626,28,77,24,32,296,178,97,212,33,354,108,608,786,623,68,345,586,727,660,71,649,687,102,163,125,9,105,115,683,55,4,463,379,75,23,87,98,14,953,293,159,50,44,818,761,376,61,246,40,64,763,713,109,1,120,117,767,359,427,95,101,20,344,58,43,607,221,575,663,142,153  },
{ 28,1,0,22,9,24,65,55,12,5,67,36,96,83,114,50,18,16,2,14,35,103,21,109,49,48,7,218,160,54,124,69,433,37,281,238,23,10,181,51,223,133,137,39,154,745,68,58,99,480,202,13,95,86,75,128,657,115,283,532,285,46,32,163,323,822,38,141,175,547,30,389,766,108,45,168,646,64,194,429,158,169,185,155,361,505,418,70,420,800,531,105,208,502,269,430,6,101,71,866,318,765,402,289,838,398,149,31,251,221,29,484,757,543,4,3,533,308,180,503,17,403,72,754,171,118,217,89  },
{ 93,120,957,968,459,77,30,160,352,217,473,110,102,372,202,373,613,291,137,260,190,752,704,141,317,31,318,961,269,177,44,326,203,851,330,863,450,264,321,265,228,224,728,457,304,247,88,924,116,840,800,219,144,365,197,115,28,187,717,49,39,944,559,908,829,406,934,349,213,916,244,131,64,225,36,98,82,9,730,403,342,275,210,180,109,100,86,33,938,855,55,831,521,367,719,10,661,165,922,935,258,839,918,864,669,539,351,274,196,166,83,341,15,959,822,772,617,285,897,531,410,716,686,478,871,251,901,836  },
{ 15,0,1,13,9,23,2,5,51,7,12,6,120,4,8,10,102,197,523,901,341,180,14,260,115,82,77,141,33,165,3,16,21,18,202,59,450,22,403,457,110,817,93,475,64,351,11,453,137,37,401,898,421,128,28,40,719,31,961,217,36,48,569,365,30,125,269,308,318,373,203,317,210,32,494,98,44,116,730,352,24,86,49,326,386,117,342,854,95,629,17,153,144,55,391,177,922,899,99,291,237,143,196,39,805,134,221,96,576,670,139,752,35,253,244,661,300,50,57,127,402,65,638,349,19,498,206,111  },
{ 206,417,244,499,141,253,44,8,137,559,269,144,93,10,31,728,116,564,203,143,268,352,717,638,120,260,160,752,951,318,384,341,180,282,373,959,434,127,110,197,202,125,851,64,36,901,642,473,498,326,332,115,165,450,201,98,873,242,922,23,22,1,217,261,276,762,55,13,489,86,661,51,317,365,15,940,898,811,82,855,854,704,9,295,0,21,372,164,351,37,968,187,569,367,911,5,576,28,617,401,237,170,615,128,776,349,7,48,105,421,479,386,16,96,95,299,291,12,258,824,864,308,817,2,30,403,49,692  },
{ 530,840,254,228,406,829,669,613,827,96,21,48,51,31,23,960,137,224,219,1,166,131,39,98,679,438,310,190,856,116,93,403,274,221,144,127,258,846,36,202,180,938,688,120,318,765,421,385,931,317,475,13,77,816,876,105,44,187,30,115,5,625,203,125,752,442,141,32,367,308,365,284,924,778,341,842,50,28,268,333,242,217,860,160,100,22,616,539,110,88,871,159,37,345,9,165,33,839,332,299,83,574,351,576,68,404,371,10,518,326,82,748,716,863,492,578,401,265,456,102,269,656,128,926,557,531,498,494  },
{ 15,13,197,457,0,719,23,8,730,1,82,165,120,134,9,10,5,180,2,141,7,12,115,51,260,901,4,899,351,6,341,352,33,3,22,386,450,31,202,11,117,569,523,269,128,93,18,898,44,110,758,28,752,373,365,64,30,961,77,318,498,873,21,854,111,49,102,37,16,40,99,137,125,317,14,391,55,217,24,116,326,98,403,474,36,494,482,817,509,372,35,661,277,139,922,615,38,801,203,143,291,153,475,86,453,253,629,304,148,437,402,237,48,642,954,564,864,431,244,95,242,144,39,401,72,17,196,958  },
{ 68,0,16,24,35,9,252,71,419,18,28,101,154,158,109,124,118,60,39,55,329,364,333,49,65,677,346,22,7,185,265,149,159,175,169,191,810,302,553,100,14,92,344,108,439,671,703,793,105,168,375,286,272,327,374,21,694,706,1,10,67,126,254,634,310,95,212,289,701,2,48,167,150,455,166,627,577,30,747,420,273,538,46,69,962,36,51,23,424,13,12,64,857,429,593,96,5,570,925,86,917,199,37,125,31,50,83,826,628,912,107,239,604,98,638,114,688,221,967,131,709,137,170,336,140,20,589,128  },
{ 51,1,23,13,15,180,120,2,5,197,202,141,0,7,21,165,260,326,33,9,4,450,12,102,6,523,48,386,115,403,269,137,457,352,14,318,16,128,110,77,3,40,196,32,18,93,217,82,317,37,341,8,817,96,31,401,453,36,752,342,351,44,719,203,901,28,475,221,421,365,64,730,24,391,153,30,308,373,10,494,22,615,59,11,39,99,98,50,116,899,498,961,177,372,291,35,854,144,509,244,17,49,922,569,86,72,247,65,349,125,160,210,482,127,117,402,20,134,55,873,38,83,898,67,275,88,285,237  },
{ 535,253,352,564,365,110,82,180,854,341,10,533,873,55,244,898,752,901,143,642,141,559,498,36,317,951,638,160,661,115,197,282,964,137,531,165,634,351,64,308,164,217,169,206,417,811,86,499,482,28,332,125,373,509,15,569,93,546,83,728,762,965,96,22,468,601,260,911,269,717,9,349,922,109,345,800,291,734,31,23,338,170,1,372,538,629,221,943,8,120,261,44,21,318,743,494,401,128,202,13,822,579,403,251,617,959,719,770,67,864,219,185,127,117,48,286,384,299,730,475,453,402,350,69,421,391,98,39  },
{ 31,125,44,116,338,64,242,55,164,36,299,1,237,86,456,10,22,558,506,144,498,492,13,23,762,170,268,143,206,685,93,870,180,844,599,5,903,546,197,115,2,203,509,169,479,165,141,127,0,352,253,393,752,740,8,137,12,51,28,341,391,638,7,244,9,457,160,367,873,98,128,384,951,963,282,202,918,21,269,37,6,105,569,629,434,365,120,301,4,708,318,3,417,489,923,901,719,317,308,401,386,535,217,14,15,734,95,551,634,499,208,533,332,49,758,83,824,961,730,239,776,601,523,751,948,717,864,654  },
{ 23,13,51,4,115,202,5,217,77,141,1,11,180,2,317,0,3,7,33,269,318,15,365,341,21,9,102,10,32,6,40,12,352,177,22,197,403,64,165,128,901,59,752,31,494,137,308,291,28,8,18,349,401,16,125,90,30,14,237,498,372,93,37,98,153,49,453,17,36,873,44,475,457,39,342,196,210,24,48,326,569,386,421,247,95,203,120,509,275,116,391,961,117,244,110,143,57,304,144,216,482,719,134,139,468,86,523,55,221,450,67,76,50,253,35,105,260,65,437,373,730,72,859,629,46,692,576,111  },
{ 39,9,166,364,68,101,158,333,0,154,562,28,404,30,65,124,252,35,175,274,344,310,190,706,49,289,570,100,168,438,694,419,346,703,826,55,16,24,439,21,88,149,254,577,429,810,109,159,962,857,671,212,455,656,22,610,95,194,1,336,747,13,125,67,36,131,530,865,48,71,625,793,10,589,23,64,841,265,484,539,86,224,558,350,69,237,420,51,835,96,272,105,406,677,165,228,83,18,31,141,114,286,557,221,347,115,137,169,722,778,7,391,98,818,816,308,840,634,709,44,185,128,960,777,143,258,669,60  },
{ 15,341,13,33,23,77,141,4,0,351,1,260,102,51,82,9,40,349,854,11,115,217,269,137,180,202,922,5,901,22,10,117,21,365,318,197,120,352,64,12,7,153,177,59,291,32,128,2,165,196,372,36,403,317,457,28,18,8,16,304,30,14,450,31,898,37,3,752,48,134,139,494,421,6,453,401,719,90,86,569,523,110,24,55,475,210,49,44,386,17,730,95,247,244,961,143,125,308,342,817,629,98,498,93,96,76,39,275,509,326,99,285,373,57,237,35,402,160,111,253,105,391,221,116,899,72,127,661  }
