TopCoder Statistics - Problem Statement

Problem Statement

You have a rooted tree with N vertices. All edges of the tree are directed away from the root. Hence, all vertices are reachable from the root.

The vertices are numbered 0 through N-1, with 0 being the root. For each edge, the parent has a smaller number than the child. You are given the description of the tree in a int[] parent with N-1 elements. For each valid i, the vertex parent[i] is the parent of the vertex i+1.

A sequence M of 7 different vertices is called a Man if:

The 2nd element of M is reachable from the 1st element of M
The 3rd element of M is reachable from the 2nd element of M
The 4th element of M is reachable from the 2nd element of M
The 5th element of M is reachable from the 2nd element of M
The 6th element of M is reachable from the 5th element of M
The 7th element of M is reachable from the 5th element of M
The six paths that correspond to the previous six items are disjoint. (I.e., they have no edges in common.)

Two Men are different if there is a vertex v that is among the seven vertices in one of them but not in the other. Note that the order of vertices does not matter. For example, if (1,2,3,4,5,6,7) is a valid Man, (1,2,3,4,5,7,6) is also valid and it is the same Man.

Let X be the number of different Men in the given tree. Compute and return the value (X modulo 1,000,000,007).

Definition

Class:: TheTreeAndMan
Method:: solve
Parameters:: int[]
Returns:: int
Method signature:: int solve(int[] parent)
(be sure your method is public)

Constraints

N will be between 2 and 2000, inclusive.
parent will contain exactly N - 1 elements.
For each valid i, parent[i] will be between 0 and i, inclusive.

Examples

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

Returns: 1

This is the Man:
{0,0,2,2,2,4,0,4,7,2,10,11,9,0,1,0}

Returns: 7
{0,0,2,2,3,1,0,1,5}

Returns: 0
{0,0,0,2,3,5,2,5,3,7,7,7,2}

Returns: 3
{0,0,1,2,2,2,1,4,2,9,0,1,5}

Returns: 0
{0,0,0,2,4,2,5,6,5,9,5,0,3,8,8,15,0,17,9}

Returns: 3
{0,0,0,3,0,1,3,5,6,8,2,7,1,9,1,5,13,6,3,7,8,4,2,18,12,11,17,13,10,25,11,26,22,32,32,18,35,33,25,31,24,38,41,34,43,42,32, 43,31,35,47,49,36,35,39,42,36,39,47,53,40,61,60,43,47,61,51,56,67,69,53,53,63,56,71,55,76,73,70,74,67,76,64,80,68,85,78, 69,79,73,70,75,77,81,80,94,85,88,88,99,83,99,93,90,85,100,89,96,96,103,107,96,105,95,100,97,97}

Returns: 9864
{0,1,2,2,4,5,4,2,4,0,7,11,12,12,2,4,12,13,17,6,0,4,13,0,22,23,6,4,4,14,30,9,16,9,23,6,14,9,24,6,25,0,2,8,36,42,29,16,39,41,10,38,40,50,40,15,36,41,43,35,30,22,6,14,18,21,14,33,13,63,27,34,10,60,71,50,45,14,9,71,2,58,13,66,80,45,41,27,48,70,18,2,24,15,83,0,21,62,43,43,79,101,79,23,76,100,80,10,85,24,87,16,87,47,73,82,88,32,113,83,24,52,119,36,117,101,79,74,26,64,13,14,117,81,131,132,25,61,42,59,124,97,118,116,99,6,24,48,42,10,52,87,117,52,106,47,7,71,48,146,116,54,117,103,61,61,45,42,121,70,115,154,160,171,146,122,126,56,58,55,164,113,156,145,154,144,38,96,49,46,78,65,54,44,3,4,136,1,192,40,53,9,114,174,93,71,1,155,175,27,108,85,95,150,84,62,190,109,24,58,179,32,131,126,213,80,143,169,4,173,30,55,65,70,8,40,206,218,59,14,124,223,147,146,123,67,79,1,245,176,160,5,191,127,133,241,215,8,121,38,46,78,155,71,125,147,97,7,232,27,193,172,113,104,256,64,222,42,50,152,186,13,260,163,259,223,187,132,20,62,275,134,65,56,184,119,35,202,85,69,281,13,241,269,112,235,70,144,174,296,219,115,46,135,44,110,237,24,67,29,249,211,270,253,205,83,275,80,149,114,319,115,133,124,55,184,222,124,26,249,62,25,237,243,225,92,5,226,54,138,215,132,250,141,174,336,306,67,236,113,37,121,26,211,227,347,193,118,278,214,89,204,361,279,286,176,165,0,308,368,56,59,332,258,157,95,292,347,321,222,70,35,297,119,190,245,214,361,56,222,375,105,10,188,184,236,351,241,353,236,202,200,133,70,380,159,116,163,81,329,362,398,29,214,88,249,384,96,242,320,259,249,238,78,42,367,183,78,176,111,30,108,346,189,94,351,181,354,323,204,368,15,256,351,419,81,372,95,403,257,369,381,451,46,156,375,390,77,127,82,189,377,203,402,397,391,51,54,329,115,261,298,353,396,352,196,238,340,476,386,370,108,242,414,259,422,228,308,236,143,255,71,250,120,146,504,493,488,4,35,103,252,137,197,455,357,68,358,439,352,505,103,168,248,461,147,403,137,463,8,186,137,376,259,466,19,81,30,74,249,48,350,415,2,177,412,128,37,352,65,140,117,552,384,306,313,211,206,202,462,237,222,310,66,340,551,384,107,531,519,200,165,365,571,462,464,67,265,285,117,455,16,195,266,143,80,584,48,499,522,413,285,18,426,128,523,121,243,239,304,366,397,294,250,295,12,61,268,239,467,103,153,347,479,511,160,101,431,556,45,607,497,393,160,371,199,392,503,152,483,449,209,158,561,612,32,121,56,72,478,443,134,54,628,448,640,417,230,325,228,121,451,56,472,520,460,4,497,333,403,138,333,296,366,485,481,161,108,368,123,366,399,396,177,229,535,557,333,651,301,37,307,363,107,239,1,526,524,524,30,426,479,466,83,403,249,20,64,222,262,341,384,377,231,13,602,69,69,476,498,435,245,241,2,93,573,308,387,4,582,500,396,460,126,561,440,149,623,189,200,291,129,269,546,577,205,274,617,326,151,601,482,119,221,302,329,641,732,436,76,268,114,22,311,323,508,509,272,606,251,77,141,120,162,480,717,703,682,314,188,533,400,349,165,415,622,565,254,587,352,282,746,159,57,495,53,254,342,20,776,441,27,754,129,358,560,320,461,753,517,233,183,238,357,14,316,379,15,611,607,620,738,55,30,687,803,750,174,129,728,760,582,311,335,565,759,188,536,704,295,213,615,364,573,664,105,194,374,387,697,147,506,147,510,563,497,368,423,469,500,210,285,765,11,849,240,442,129,248,61,477,520,450,119,649,504,857,253,427,791,472,379,392,756,488,59,684,489,641,829,97,618,362,90,803,145,575,550,806,238,327,684,745,434,864,350,488,535,86,857,119,211,183,14,495,191,310,882,59,773,235,447,437,338,501,899,390,370,184,408,767,677,79,161,269,692,261,548,356,636,390,388,113,610,927,617,99,33,734,214,605,415,403,243,361,765,306,847,631,193,210,303,128,106,84,435,249,524,873,80,64,914,221,271,502,930,777,837,27,640,31,540,499,473,131,401,906,758,327,822,830,821,252,962,605,753,937,346,7,906,470,779,66,521,231,121,836,26,774,66,342,684,783,467,281,957,445,370,857,112,273,373,10,842,946,186,702,660,170,868,719,200,626,508,245,365,670,595,836,832,210,623,723,167,721,1016,953,903,828,637,258,236,995,564,373,545,782,718,1039,183,357,754,996,488,780,44,959,429,674,213,84,629,265,253,359,299,974,935,47,267,995,411,1028,388,120,458,396,950,740,599,1034,401,311,1059,938,172,374,354,52,713,87,190,797,1081,354,643,554,750,987,811,44,635,389,932,859,105,29,1036,572,1063,591,141,755,423,851,581,963,1050,937,711,257,366,351,434,154,909,628,1098,324,1017,136,1037,181,499,14,847,974,8,417,893,529,68,671,959,895,447,928,912,218,667,640,130,834,1052,232,1078,450,555,808,777,87,78,1127,456,797,294,1020,69,595,785,1052,1106,1153,791,223,13,92,774,1053,877,677,93,862,1116,325,314,1102,514,254,601,424,353,216,66,131,897,713,742,786,653,497,1197,133,1119,565,822,376,481,952,538,498,584,267,597,526,93,400,576,125,1041,122,758,200,769,194,748,506,983,959,42,428,368,819,602,948,43,1101,179,629,1016,787,1165,943,676,705,82,148,748,79,1018,12,376,592,50,473,802,225,1246,88,515,1013,1089,124,134,1081,1072,437,306,1220,96,385,597,669,297,208,1194,616,590,1220,242,726,1266,442,358,949,716,340,252,876,1256,1159,425,183,419,378,166,825,611,249,1045,289,720,152,374,347,652,649,1277,343,867,1234,726,29,1178,1105,452,867,54,962,1118,949,255,922,1260,1167,702,971,104,553,500,1316,668,876,557,499,1235,992,1326,1332,854,410,1138,69,321,146,1043,1331,1054,733,1095,538,825,1070,942,680,472,376,617,197,517,537,897,823,582,1138,673,21,1181,828,424,984,712,1126,1352,1004,954,920,147,1372,1267,610,365,1078,204,557,463,627,971,284,1147,902,549,182,445,1030,536,428,544,773,588,52,1174,216,304,45,759,752,970,416,639,76,1059,934,370,826,56,963,531,1164,86,875,124,372,959,823,187,1367,322,694,430,8,799,1185,955,200,674,258,120,160,633,945,887,1135,884,325,304,130,1085,313,1038,99,1056,888,443,364,508,1003,311,855,1022,620,465,1227,911,444,368,944,1317,234,483,1192,1294,587,1086,305,351,513,531,519,82,749,968,820,794,37,968,1424,724,1359,1140,646,375,854,939,124,979,638,1169,493,1494,334,844,1404,1170,290,202,520,255,310,756,661,959,679,669,490,1039,1056,1147,652,414,1112,655,478,923,1346,1027,661,524,952,1388,1150,1092,1221,889,120,908,957,293,114,865,1313,261,998,1197,1012,1245,1544,1425,1352,1050,556,514,99,1465,478,267,146,853,958,401,1265,556,305,20,144,734,1362,1221,168,1438,1100,1128,639,374,112,1316,408,400,741,1105,196,751,1579,1225,1197,289,135,530,292,746,1395,235,1555,852,357,481,1495,613,1562,964,1474,989,834,1010,981,136,354,947,1262,509,1246,1550,202,1418,1414,235,643,545,372,185,255,38,42,906,1003,8,992,368,1130,1112,641,722,296,1289,697,579,275,743,1116,515,878,110,1590,400,266,506,371,1503,89,1220,1017,1155,395,1160,131,653,232,1579,223,932,1043,1216,854,55,1031,887,1392,741,788,1160,128,299,1334,1188,930,489,1599,1133,315,1662,550,44,615,261,67,3,1480,548,691,1347,557,218,1669,301,163,634,1269,1611,207,5,355,180,203,1620,307,108,114,370,1,72,1653,1519,808,121,1250,234,1363,1417,1403,1433,1650,1012,1699,1138,11,308,252,803,1470,1684,1069,357,576,691,202,630,611,1390,1187,246,714,1496,183,395,1595,989,43,799,481,775,1593,1321,1055,314,638,599,1699,46,183,603,708,865,661,1393,718,1266,1480,768,1398,1162,886,1091,97,1561,1467,441,562,672,352,1408,931,1253,1176,679,857,749,583,286,304,1031,682,1226,685,33,1228,17,761,903,358,427,298,1180,758,801,1106,1105,37,434,1577,542,15,1628,306,1613,1121,33,132,1031,244,230,176,1229,426,247,96,615,843,1384,20,205,1810,198,998,862,1636,1409,931,1772,318,846,806,1585,770,1284,1346,1398,1109,263,871,1770,754,460,1695,1570,689,1259,1137,1843,1395,262,976,1372,59,1433,1673,991,1193,1307,1753,1262,781,580,283,1495,1825,455,1331,1528,1362,266}

Returns: 918207675
{0,1,2,1,1,0,1,0,2,6,4,0,1,4,8,0,5,6,13,16,4,18,6,14,1,20,19,26,2,0,17,31,9,27,13,9,5,35,2,36,4,41,14,2,26,16,4,0,39,20,40,44,41,35,20,51,10,6,58,49,26,59,36,49,58,55,21,4,60,10,44,60,9,3,70,69,36,68,35,70,59,43,6,20,68,40,79,8,35,54,83,78,33,91,32,46,95,51,96,2,25,35,34,80,92,77,46,25,107,45,93,10,60,58,31,107,94,21,52,5,75,51,40,52,97,102,11,60,53,100,125,123,102,39,114,32,79,89,126,27,74,105,51,53,142,83,109,85,37,105,11,107,44,114,116,3,8,108,3,69,104,98,126,12,26,124,26,133,89,63,77,102,57,66,78,174,55,96,167,38,144,10,112,145,150,151,178,140,145,18,155,177,147,12,49,20,176,168,173,142,173,136,13,198,55,91,5,78,150,62,122,83,43,148,60,87,182,189,188,106,216,14,186,198,94,24,158,0,17,208,112,44,174,180,161,128,168,110,191,75,20,73,55,3,21,36,85,222,123,79,68,129,89,223,72,206,139,116,91,19,22,156,144,102,31,10,1,110,191,220,212,192,235,202,160,211,38,239,230,253,235,214,98,45,9,271,251,272,122,17,193,37,13,111,26,276,77,236,203,119,210,0,198,162,298,243,235,45,73,39,80,52,170,66,47,127,243,108,150,85,51,131,0,250,101,175,303,166,88,20,163,224,70,85,14,299,207,316,265,219,279,56,231,59,221,176,135,90,209,241,41,196,143,73,101,203,88,158,205,269,36,279,47,167,219,99,39,114,219,268,61,73,253,116,275,283,74,276,86,99,340,316,224,5,19,185,123,71,9,337,245,88,349,337,285,107,223,356,47,143,276,117,255,257,168,247,94,51,216,154,157,340,194,255,195,0,162,79,15,86,323,96,14,335,257,274,58,420,263,176,403,171,128,182,212,81,41,269,203,284,231,187,81,87,164,329,378,94,413,294,346,1,209,333,110,427,394,183,364,115,184,328,378,285,124,243,342,37,197,226,145,420,249,313,465,188,308,244,122,422,456,34,391,367,230,166,270,154,435,150,352,339,75,187,383,413,68,296,297,175,111,330,345,214,183,490,259,378,442,338,428,225,199,371,221,464,418,272,28,519,233,23,140,480,78,314,424,259,218,406,7,461,228,525,69,15,177,298,136,325,331,512,498,309,225,496,171,224,482,338,55,287,88,279,444,459,505,339,495,360,277,51,172,526,360,163,241,553,241,218,250,277,484,332,516,269,158,522,505,424,86,572,468,212,113,192,547,35,210,381,173,355,557,237,143,415,110,51,509,259,598,49,403,50,377,17,10,174,60,581,88,48,468,264,255,541,516,395,414,436,47,170,418,61,290,337,87,43,485,356,543,205,130,213,219,313,541,561,112,98,141,429,361,502,190,221,329,139,8,360,277,255,441,182,439,365,443,341,40,162,275,142,157,456,365,550,260,266,537,470,170,240,592,118,562,508,29,487,2,149,334,671,414,131,605,514,17,91,522,463,459,525,164,413,576,83,268,169,441,27,198,651,128,416,491,16,108,41,314,526,470,355,186,355,478,652,497,586,231,31,329,546,664,226,65,156,192,502,72,232,596,346,171,242,307,698,112,532,260,85,603,363,392,557,282,174,354,731,159,136,299,610,164,742,26,439,625,475,293,313,578,641,51,26,602,54,23,135,348,23,235,473,691,446,463,20,522,471,190,482,723,172,255,107,184,316,478,92,256,92,592,597,295,301,112,136,112,129,752,623,71,313,706,792,571,461,463,591,703,216,491,376,718,403,297,579,753,278,786,188,197,583,475,722,384,672,551,315,178,159,398,344,317,624,488,179,610,817,568,326,2,471,509,106,429,686,20,608,698,368,87,271,422,127,812,134,236,532,631,127,478,815,305,44,354,202,311,284,629,453,12,674,838,663,524,274,513,521,157,508,813,179,350,37,696,285,59,587,632,268,815,4,753,681,517,722,394,218,537,97,665,744,134,362,221,658,555,619,329,868,440,863,564,617,792,515,25,423,435,248,678,812,850,387,860,57,642,851,467,580,133,62,873,567,743,614,567,624,59,501,371,859,477,351,921,541,196,640,217,175,13,541,869,652,215,151,377,10,350,501,724,618,666,617,175,493,856,959,431,584,306,353,159,495,402,534,836,907,498,296,745,245,668,803,733,275,970,840,638,104,337,322,533,972,760,696,906,351,9,604,630,568,142,310,285,811,287,763,192,623,576,760,309,584,83,545,766,502,905,175,456,1011,432,194,517,968,909,519,835,1016,138,437,56,996,440,148,366,943,62,599,50,78,658,794,73,29,503,464,815,9,926,691,442}

Returns: 737111011
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Returns: 920589738
{0,1,0,2,1,1,3,4,8,4,7,10,4,5,14,0,7,7,14,2,7,14,3,2,23,21,8,15,8,7,6,28,3,14,21,35,21,30,31,12,4,41,13,40,36,35,19,19,31,25,16,38,22,42,8,49,4,4,4,48,4,41,8,23,4,56,22,63,7,31,33,51,34,33,20,59,4,53,27,7,5,4,52,8,11,3,1,59,42,62,87,86,87,18,25,39,50,58,70,45,32,35,74,65,82,44,14,70,42,9,36,101,78,19,100,60,31,110,57,24,117,45,106,24,65,0,47,52,66,98,3,62,55,114,102,23,76,133,8,1,104,73,131,20,12,86,17,143,131,79,1,16,39,96,145,18,105,111,86,70,72,14,58,64,36,120,64,52,19,34,147,149,92,89,6,12,166,168,17,132,102,174,32,4,81,131,141,177,71,157,113,166,98,26,190,185,120,33,100,137,158,25,192,77,111,101,93,86,150,61,116,55,197,172,71,11,131,72,181,188,89,57,204,155,105,111,197,217,45,80,100,132,57,6,72,113,214,236,100,136,30,173,67,24,151,45,151,117,236,72,104,240,244,45,57,110,14,174,180,18,208,26,191,191,161,186,199,173,178,199,19,220,129,133,251,12,149,158,68,251,110,268,238,247,253,233,64,262,241,19,99,218,165,257,177,210,181,188,254,18,6,38,101,10,151,41,73,214,104,171,194,188,174,205,83,19,93,250,132,75,11,266,59,133,149,131,19,59,169,238,26,123,126,27,154,73,335,99,161,167,196,50,280,200,327,3,133,83,127,333,273,293,336,151,72,301,97,140,205,356,359,16,245,137,54,35,167,337,125,52,84,58,182,266,184,312,122,36,347,204,46,80,124,381,286,251,158,308,268,321,215,205,38,314,215,179,15,340,314,346,352,186,8,123,267,67,159,107,16,110,143,157,64,403,17,346,97,83,395,410,333,8,190,396,216,421,44,89,383,78,421,13,372,301,73,310,3,423,174,249,222,293,352,54,297,81,240,324,260,255,50,385,317,109,345,91,264,71,145,455,392,292,159,337,455,376,369,24,133,309,367,59,141,246,103,4,360,228,287,68,171,61,258,363,191,399,169,457,182,58,271,310,216,392,284,190,125,357,173,128,34,303,203,32,94,387,489,246,210,116,44,225,33,117,463,271,453,145,189,263,251,66,405,29,459,126,353,381,206,15,353,298,57,101,528,248,417,238,319,316,297,235,292,451,427,436,344,262,141,379,489,380,130,327,61,512,553,97,97,165,361,360,214,63,467,386,445,308,450,427,104,570,459,84,15,211,55,2,373,359,165,59,192,288,166,196,78,100,525,441,572,398,565,380,471,334,562,19,552,138,135,407,392,185,382,108,18,343,478,429,89,458,350,133,371,243,183,122,112,568,265,329,128,320,34,556,544,111,113,202,203,524,294,615,388,520,147,615,84,154,112,344,455,571,556,469,157,502,192,44,112,500,237,421,608,116,153,276,235,547,322,163,48,282,252,555,166,448,117,667,462,609,512,623,577,255,584,37,333,184,102,646,565,141,580,277,103,65,409,461,403,653,537,224,106,115,636,347,595,11,615,562,562,438,666,223,559,673,646,229,200,162,212,86,197,353,494,566,457,128,705,541,489,525,160,453,559,359,510,133,419,555,330,215,700,384,92,489,231,137,635,653,307,595,430,489,667,351,0,548,747,360,117,118,343,595,129,82,397,670,601,290,50,564,593,29,462,680,466,182,222,144,681,495,655,539,365,171,536,364,135,343,2,577,409,601,720,628,85,589,643,145,570,610,1,497,431,729,654,308,468,86,242,617,491,663,410,522,322,132,281,358,104,806,43,275,722,340,134,3,287,678,8,103,206,181,661,826,483,320,571,367,411,485,633,48,732,701,200,457,81,63,67,68,248,168,90,167,408,567,317,717,140,785,755,336,9,602,236,435,302,487,548,638,451,153,673,310,598,593,775,551,217,474,564,295,645,428,500,164,79,863,695,357,572,672,221,389,757,481,86,52,26,741,374,651,192,849,717,190,740,252,370,492,46,831,860,345,169,448,694,771,583,224,93,759,751,530,193,853,647,647,487,734,479,877,737,381,22,876,791,124,147,345,164,696,84,443,562,860,439,390,615,570,86,642,776,295,678,10,872,792,455,335,883,677,140,590,31,252,721,753,57,121,882,491,756,820,503,437,732,816,592,946,443,691,436,110,28,858,971,392,852,623,227,168,100,271,964,372,927,977,497,934,348,520,190,944,577,96,471,189,770,300,254,408,6,646,339,110,481,807,304,582,943,152,199,452,679,990,682,429,91,963,953,772,459,213,243,528,557,994,692,905,1023,568,400,885,542,57,907,459,69,114,877,819,674,814,436,277,369,729,422,879,360,1018,249,477,128,860,505,312,931,20,892,105,411,0,961,1067,412,1030,906,1053,447,944,1041,1039,736,542,690,103,127,489,680,291,669,607,511,629,586,602,380,648,1016,69,1083,768,69,929,156,174,1078,356,938,952,816,448,570,416,816,330,403,960,33,892,276,268,852,56,397,1065,993,146,693,1098,718,382,1078,892,1095,145,171,710,469,572,84,831,682,6,178,386,75,49,100,544,968,681,484,302,773,80,441,7,253,53,131,1001,222,709,112,179,2,639,709,90,166,821,545,122,91,335,446,1064,1108,452,594,207,223,21,894,1023,1166,652,825,1181,671,1113,277,1160,997,197,198,706,52,8,972,589,594,407,1022,398,1036,710,608,685,937,729,51,1112,715,230,908,559,422,534,43,419,979,933,574,895,529,243,1222,605,619,554,425,776,804,970,439,107,912,1163,1084,509,733,858,1228,640,491,695,442,141,879,1237,1109,148,756,498,906,48,372,537,177,823,257,224,533,8,431,279,37,279,988,482,1008,626,816,1255,946,93,1225,872,689,728,479,818,910,21,40,1206,1224,243,1009,694,267,992,986,643,251,80,1144,389,368,199,34,20,814,890,431,231,1091,377,997,342,276,514,193,563,918,32,305,1056,627,678,785,922,959,1196,710,1282,1097,285,1285,1325,44,191,234,504,132,736,958,378,1133,7,246,856,852,475,291,803,278,6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Returns: 519642841
{0,1,0,2,0,5,6,6,7,6,2,2,12,13,8,6,6,15,15,16,3,11,20,23,22,4,14,24,5,13,26,1,2,23,14,35,15,32,27,35,30,19,38,12,10,33,6,27,22,27,19,43,30,3,8,32,43,29,41,29,11,38,12,9,53,17,57,66,30,50,20,43,58,25,41,36,63,14,49,78,44,21,32,29,62,22,43,48,66,4,31,48,41,79,63,17,62,91,82,92,55,33,52,30,87,87,67,75,96,12,50,103,28,13,69,29,34,85,97,57,94,36,10,107,88,8,14,100,0,127,79,104,27,31,118,37,9,77,90,64,126,107,20,29,62,39,28,123,112,50,29,80,106,119,13,50,14,71,135,72,8,55,25,63,67,43,7,40,83,15,32,32,172,23,111,169,74,123,38,161,74,112,134,40,29,184,66,66,28,67,20,133,88,130,117,133,124,59,48,126,83,151,99,66,44,161,191,98,125,2,177,44,70,15,131,87,40,147,118,11,96,90,171,196,10,100,184,161,101,40,52,15,193,99,202,44,148,205,153,177,37,160,196,163,185,201,50,189,100,7,53,52,178,58,18,173,28,182,18,71,145,157,240,45,218,17,110,82,106,19,47,141,91,100,1,72,219,48,78,155,245,132,105,66,71,119,227,71,250,95,266,256,174,206,211,37,8,77,297,213,51,189,297,127,225,171,57,43,305,8,217,89,285,141,75,236,33,263,16,283,290,239,101,100,186,237,168,250,123,292,319,33,316,281,75,303,175,262,336,25,228,113,313,190,27,76,205,115,159,156,301,112,350,68,103,178,219,229,182,162,46,76,14,341,134,314,353,324,13,348,56,238,116,79,101,331,33,368,178,323,103,184,102,271,44,327,300,371,49,1,341,5,148,21,389,150,211,99,212,54,208,385,374,333,91,30,28,295,256,237,295,339,217,148,74,351,52,275,25,55,284,235,149,52,173,371,244,203,292,306,53,175,100,292,217,414,379,395,231,115,398,51,260,283,297,90,378,329,202,126,304,449,323,392,2,231,438,136,425,125,284,100,140,148,41,76,382,287,315,138,352,166,350,428,210,189,14,267,291,309,182,37,476,417,279,144,385,133,116,432,79,135,486,257,423,400,350,143,181,54,489,6,193,441,454,242,14,398,350,18,161,394,320,218,384,104,195,161,273,303,494,467,51,306,278,147,517,105,301,10,295,455,495,210,234,372,381,78,174,269,286,167,211,305,470,125,145,538,129,307,287,92,92,476,473,414,402,270,271,551,472,47,197,123,276,42,526,86,272,561,150,75,105,564,517,145,551,160,400,310,266,298,451,277,494,474,562,162,464,560,233,179,146,566,522,109,403,480,49,31,385,205,573,495,327,280,231,83,266,255,319,365,16,324,551,409,35,571,231,379,193,107,342,597,132,25,397,306,193,9,547,520,597,253,349,23,333,478,607,158,167,46,168,586,224,535,478,505,394,238,505,356,61,7,4,468,74,247,85,202,474,101,330,73,556,71,182,667,66,156,295,251,444,133,203,518,537,438,237,157,320,531,94,254,646,407,540,520,625,664,431,520,494,497,464,434,218,657,150,88,177,85,330,433,271,463,300,681,362,645,305,356,309,424,216,224,320,339,53,363,308,493,558,613,39,467,79,89,667,65,483,242,361,423,424,649,385,694,229,146,505,413,410,119,189,701,62,743,157,193,441,530,707,8,213,452,302,282,447,313,358,355,670,212,488,684,430,459,210,387,603,278,150,671,622,757,103,22,297,311,551,151,442,440,163,390,118,638,394,120,625,752,434,699,311,143,171,26,382,158,587,601,192,228,381,35,113,511,323,152,217,747,63,607,3,435,684,279,338,659,550,121,370,343,428,738,746,298,396,589,324,491,163,184,772,820,168,785,722,284,552,795,204,379,256,835,39,219,624,3,756,458,253,437,740,61,281,54,138,530,694,217,240,153,657,736,497,704,793,750,167,445,435,284,765,340,854,581,66,857,829,477,40,451,532,565,366,338,780,706,438,423,497,400,272,17,204,224,570,50,56,369,205,762,29,36,668,654,823,414,571,805,93,854,676,187,831,675,444,32,604,501,185,688,710,918,103,794,857,209,236,898,714,814,738,530,228,301,514,501,809,213,249,614,721,236,204,6,827,694,286,685,287,115,898,949,56,678,712,445,599,301,813,185,185,650,24,589,864,447,968,907,293,154,965,581,202,6,383,763,299,544,190,641,712,908,69,328,76,96,830,930,11,287,730,463,713,669,62,316,763,958,311,627,442,748,424,841,179,576,986,207,679,336,56,229,550,115,301,954,772,980,486,624,347,393,540,335,944,885,741,1015,835,194,718,547,715,535,74,1019,288,174,928,426,238,228,75,216,120,947,425,718,280,650,534,528,850,851,970,405,219,414,654,541,422,100,86,723,432,663,791,739,238,468,247,7,473,194,304,987,384,808,206,121,604,310,981,233,28,469,869,687,908,864,984,535,142,261,958,973,309,494,680,728,1003,450,566,842,228,1023,45,822,862,1013,301,6,1111,358,197,676,813,441,382,786,102,1065,299,333,820,37,1035,818,927,993,673,370,187,660,970,432,699,1018,508,408,926,692,1034,231,833,846,887,104,820,463,1044,217,72,595,870,262,523,1133,586,928,252,830,1154,938,625,142,866,485,35,9,272,458,1153,301,905,980,56,991,499,126,999,893,900,178,205,239,617,1074,953,573,252,451,996,856,749,376,1190,1162,217,168,902,1081,366,355,684,494,265,114,368,1155,722,109,836,722,652,773,638,1213,320,490,298,337,534,795,571,499,187,435,1087,964,57,530,923,66,318,228,268,997,688,197,371,1234,463,382,1026,1038,758,747,806,704,854,142,471,1057,44,311,229,70,424,628,659,327,312,34,1101,370,472,69,399,850,728,112,113,1097,620,633,963,790,169,72,860,177,700,325,177,762,88,91,545,1141,991,1026,1088,241,725,1125,346,1023,1059,861,153,289,160,276,1002,1042,615,1221,1194,655,1295,763,1116,222,77,1136,841,930,1098,1072,299,1202,293,854,640,482,880,1074,1043,165,855,388,394,708,1211,300,58,277,1040,1035,885,1025,119,1305,358,587,662,1063,478,188,826,594,1012,748,761,312,107,968,1053,1226,38,174,539,36,1206,862,792,413,1261,458,1326,594,861,920,742,461,198,99,831,880,246,1160,483,240,16,474,929,735,428,953,889,209,398,570,369,450,1016,669,431,299,245,214,24,547,1148,1217,790,664,1265,795,1217,926,870,1171,213,19,397,1402,245,468,275,844,802,922,1414,871,109,1041,1281,1389,1114,417,822,1023,98,229,1222,649,911,665,1337,433,242,1287,984,255,658,1278,964,225,874,414,1178,152,38,398,983,594,1352,958,481,572,319,835,498,1270,626,449,457,182,179,1261,934,1334,656,1372,491,316,300,126,1197,257,1045,1094,1013,237,431,140,19,693,32,828,1253,456,651,207,1246,669,74,767,97,703,811,1220,96,68,371,76,1360,708,578,1314,1407,174,629,147,1473,1094,778,777,404,1087,1285,473,240,243,1434,590,725,249,10,1254,1259,56,591,277,162,1213,8,1360,201,319,375,695,1375,1447,982,718,1194,783,1340,572,1393,403,848,581,70,203,1165,1327,1407,27,88,415,1072,1561,1108,453,987,755,560,391,350,1252,1237,241,997,11,1044,110,1190,1002}

Returns: 134909217
{0,0,2,0,0,2,3,0,8,8,8,1,3,3,3,13,10,12,16,12,4,16,22,9,8,1,12,10,25,18,29,11,21,13,34,1,8,26,8,5,30,5,5,30,32,38,27,47,42,0,9,30,25,53,35,19,4,3,6,5,14,56,15,18,18,54,48,58,37,45,26,46,34,55,27,72,72,42,4,14,71,52,20,11,61,30,63,13,16,28,74,21,34,87,13,59,69,20,61,61,44,61,26,74,44,86,45,40,89,0,81,83,53,93,73,38,74,76,43,47,56,101,87,58,74,88,41,78,82,90,76,131,125,126,109,123,29,47,91,116,111,33,102,85,103,2,69,81,58,77,143,80,152,126,51,107,40,38,24,146,158,144,86,76,163,81,146,127,28,49,139,4,152,134,38,94,47,107,34,78,105,93,30,153,98,58,122,181,109,3,33,145,138,8,17,60,156,13,7,111,95,193,185,66,55,29,187,164,207,99,166,38,143,71,151,10,15,164,73,112,50,15,45,49,172,9,162,178,183,15,133,187,91,59,81,85,153,190,20,176,213,101,99,117,61,166,236,163,40,164,34,188,74,19,70,91,237,18,88,211,87,131,150,91,264,175,206,248,268,117,26,90,123,107,240,79,23,61,263,92,62,159,117,197,114,142,38,215,86,180,194,104,242,99,157,78,223,256,232,116,115,72,83,234,144,284,249,195,122,80,115,300,106,100,268,130,61,6,90,172,135,187,179,178,145,133,103,326,261,323,159,173,107,267,191,183,199,157,92,138,184,261,27,260,184,129,106,249,92,335,228,4,123,96,230,336,153,23,155,185,7,61,201,34,5,220,181,59,151,246,106,297,180,326,319,76,192,123,27,292,139,300,74,5,305,24,256,185,36,35,102,384,7,354,198,113,296,209,35,252,159,12,14,66,131,67,134,316,137,132,138,340,116,245,403,248,153,81,382,180,326,119,263,387,409,330,78,72,161,56,22,227,55,172,223,193,317,92,378,92,330,245,48,76,66,430,322,421,446,246,229,270,83,305,1,209,311,77,93,36,171,444,241,40,268,404,231,36,83,447,92,379,114,87,299,378,217,301,330,404,227,439,430,467,63,257,76,380,237,69,86,477,429,242,86,130,228,318,465,385,55,114,144,291,233,18,311,124,159,475,316,204,55,21,153,195,24,295,502,34,96,384,70,19,292,49,477,123,222,389,383,226,262,487,407,122,305,11,341,519,540,507,444,215,458,487,48,218,417,543,204,100,30,0,513,294,216,505,29,313,424,174,325,453,563,147,431,281,510,187,512,179,397,345,122,571,129,73,498,311,466,279,323,362,247,577,573,93,499,514,265,165,347,80,11,470,73,251,301,96,563,216,233,520,172,38,408,257,141,445,390,591,64,24,583,563,314,69,476,581,144,409,174,551,211,619,69,39,124,144,42,582,465,448,304,34,286,371,212,304,494,142,314,370,485,271,523,585,633,225,209,530,311,635,589,295,350,467,45,127,197,522,422,77,90,27,328,376,15,390,344,402,61,74,82,188,203,136,146,234,523,432,198,40,65,60,270,284,275,222,23,341,332,183,634,19,262,463,645,115,2,268,460,301,12,613,93,445,378,30,365,631,7,215,64,223,285,281,650,687,164,30,623,222,165,654,718,97,680,302,651,143,700,327,81,75,276,737,266,400,2,420,635,160,300,42,133,686,238,273,603,8,117,713,97,274,542,44,586,199,572,242,569,732,492,102,247,690,633,435,315,499,52,432,91,205,753,625,561,526,224,396,202,271,706,355,360,204,384,274,493,204,149,201,146,358,305,788,735,202,549,574,183,228,80,681,439,605,467,595,125,196,581,333,813,428,796,230,814,166,6,244,11,770,681,561,251,776,41,553,207,573,811,812,806,200,243,837,450,730,428,375,294,101,779,53,467,279,740,492,245,454,690,442,563,655,544,248,543,488,381,544,661,498,467,839,831,123,533,271,499,74,683,4,720,476,684,812,333,455,55,443,196,229,294,628,302,116,790,336,757,0,706,684,446,208,376,643,545,764,760,592,338,438,895,554,127,80,604,593,130,757,115,489,275,839,110,290,607,737,472,835,612,225,220,187,574,448,809,746,375,220,530,374,90,774,702,221,574,664,898,465,157,809,405,874,528,336,417,158,672,525,57,122,300,650,907,691,233,746,197,504,263,324,859,118,309,633,134,389,633,849,693,618,647,939,876,387,266,84,428,714,303,50,546,48,975,789,247,67,739,182,954,787,563,450,182,615,118,1,668,708,219,895,544,192,571,99,412,439,168,546,882,956,206,958,35,564,113,480,288,836,824,267,799,317,941,422,756,405,837,964,867,802,322,798,422,226,901,664,265,650,533,251,319,526,556,506,614,798,681,356,494,311,476,722,126,100,481,682,271,49,958,723,152,1029,447,481,575,85,16,1027,756,799,725,91,931,465,911,134,156,846,981,45,808,653,747,435,723,730,87,617,809,897,180,558,387,1019,870,910,647,764,909,940,526,343,260,814,342,430,489,42,495,801,711,683,992,598,878,950,676,1111,387,330,1111,106,187,180,570,668,122,227,719,578,454,619,438,1110,350,432,122,194,779,798,62,408,528,842,571,984,562,1123,902,635,654,490,428,891,847,783,598,1009,479,1013,589,673,685,664,1161,433,371,124,801,879,476,817,349,457,816,705,541,888,1136,34,963,805,25,477,903,726,927,1021,854,807,678,916,1098,763,886,634,134,18,1199,1172,441,589,934,652,1184,641,43,485,395,211,581,346,654,416,1053,1070,760,406,230,1135,932,419,237,571,482,1085,573,379,23,1098,611,978,411,761,332,903,832,1211,4,763,268,161,869,628,1230,903,134,1187,874,203,561,757,303,529,575,100,1036,252,587,241,977,664,1033,419,805,772,324,1066,449,575,51,232,718,717,246,984,396,506,1205,1266,1090,758,388,71,954,961,170,1233,381,1188,302,917,173,868,598,302,1188,707,1040,245,684,834,272,623,339,538,643,78,248,395,731,516,220,920,1313,1156,589,1266,754,615,1265,234,432,14,1082,271,1141,1077,1245,500,393,239,143,1003,345,499,1102,352,580,926,539,545,452,453,1062,1088,513,934,1294,753,1302,106,28,261,354,998,45,788,228,538,1081,261,647,201,449,388,491,823,981,1146,718,879,623,941,715,93,77,944,635,187,868,633,915,674,749,637,261,1315,310,151,343,798,1224,590,762,411,951,1032,1035,116,1268,111,956,1003,433,554,14,1307,1052,518,1019,756,1213,1102,1045,486,1312,1252,47,1070,1170,60,600,333,636,1223,925,989,956,696,334,978,870,1131,104,1336,1402,864,1292,873,292,228,266,1313,234,106,1442,1248,539,249,710,15,873,164,1228,1159,1019,194,982,935,736,172,650,173,636,859,411,255,747,21,1468,277,576,498,295,145,888,139,809,594,1191,1078,878,1294,1315,1388,601,1264,1084,75,161,568,592,1280,1405,412,169,1095,1443,7,88,15,1327,204,514,978,377,414,1012,1185,948,697,984,29,903,1395,1072,807,390,1475,1034,486,877,10,260,521,307,448,980,580,811,282,1164,168,386,1322,1416,297,838,902,22,346,1110,1096,1243,1050,859,373,1459,1280,746,1301,924,599,1268,1075,1427,962,1077,122,1525,119,802,1342,1062,66,325,826,204,664,709,1314,1217,586,394,177,901,36,155,1197,51,817,983,1134,868,1227,916,1460,854,1574,585,876,1471,178,1577,1340,909,1453,909,130,1178,1594,1263,882,519,1147,977,334,506,315,384,36,1142,380,1500,1326,1530,1379,325,885,438,711,26,1158,1002,438,1492,924,234,1291,1382,36,876,119,418,1229,459,1205,682,973,386,608,1226,1359,217,1518,388,249,1194,268,1333,1157,211,1106,1619,542,1385,831,1227,102,1285,890,159,821,1502,728,55,1565,1630,1521,1225,780,1252,852,36,1305,344,844,751,774,633,1282,834,1206,953,1538,910,1462,1112,1438,124,450,1262,347,542,381,1195,505,387,760,618,1074,1080,1703,780,1310,695,409,1559,74,170,1227,1649,695,1365,1318,711,1599,411,416,658,802,207,471,23,1113,1555,88,1505,1418,1645,935,1174,1139,470,512,257,346,1308,1318,1218,1037,1324,1346,972,1302,658,254,1646,76,1089,1142,948,1695,1531,1678,824,1509,353,249,637,1199,722,458,1462,630,1373,33,1421,1078,1165,713,1046,1086,984,232,1714,1690,729,1686,1644,907,85,561,803,1696,1275,719,45,1109,1013,1510,128,277,895,377,630,1203,183,1368,1129,1748,208,1130,1492,171,1535,1756,200,1798,1130,533,1664,1473,1518,1780,1468,846,1753,98,743,1035,1443,1237,1041,1800,1327,803,640,237,197,1035,1628,982,830,401,977,615,1020,892,120,570,1519,205,1769,617,477,933,611,945,147,1039,923,1150,802,1763,567,1578,1207,666,879,1519,1563,83,1238,1360,605,245,882,65,1729,866,1189,1108,41,876,1778,1341,1797,90,703,1034,922,1405,1315,1041,890,471,345,968,1233,1396,428,654,303,1499,1508,1304,128,639,1484,1703,858,187,1866,380,1259,1899,177,1889,161,872,895,126,840,469,884,1506,667,1883,697,973,1046,58,507,510,69,193,394,264,400,1464,894,736,358,815,514,832,25,1594,1494,124,590,615,1658,1473,1273,1183,1913,28,199,1209,1284,721,1837,1740,761,1522,1635,663,165,1374,877,454,1682,1875,564,1258,784}

Returns: 540792310
{0,0,1,1,3,3,6,4,2,3,5,10,3,0,8,13,4,5,1,19,14,16,6,3,1,3,7,4,13,18,5,18,8,1,12,29,15,33,1,30,1,11,27,34,23,12,2,34,24,17,29,17,28,48,11,52,33,15,11,19,11,36,50,62,1,57,58,47,38,3,44,55,70,17,17,7,1,15,61,24,39,4,31,24,39,67,27,24,56,34,1,27,19,5,2,0,71,11,48,3,40,9,65,39,86,94,18,0,33,91,26,55,110,15,52,59,75,67,102,119,31,104,93,27,0,33,42,63,8,25,56,37,53,72,11,79,41,137,111,65,69,79,97,88,39,110,94,119,69,9,103,113,83,145,148,140,8,136,66,68,159,27,91,114,133,112,2,118,156,90,61,75,51,51,63,50,102,134,141,50,95,176,149,15,11,62,139,64,49,48,133,150,163,33,166,13,58,122,71,61,50,201,42,45,197,181,203,14,203,163,204,100,185,138,131,104,162,188,91,5,148,150,217,29,102,42,5,214,66,128,58,50,4,5,229,43,78,175,58,35,15,219,82,39,184,97,19,44,141,41,216,191,70,193,89,193,48,149,203,206,165,42,160,95,142,96,139,142,68,115,43,169,85,89,258,69,252,233,201,260,20,3,262,228,16,182,151,203,207,48,149,284,237,107,237,228,278,102,160,56,22,242,82,8,215,195,19,1,173,225,247,79,279,33,139,34,77,52,258,194,303,245,30,29,125,301,22,151,139,322,279,132,179,147,208,137,114,307,147,108,80,172,212,237,191,55,173,33,37,96,40,142,107,10,225,247,275,171,27,306,179,296,120,171,280,321,246,83,302,42,35,352,320,212,73,135,59,97,303,55,275,209,119,280,67,142,124,316,127,1,59,373,169,77,367,67,30,16,135,159,121,288,345,351,168,263,372,252,178,384,140,298,76,70,397,359,368,404,312,71,359,363,78,398,421,221,295,331,421,410,70,147,3,193,248,277,184,107,310,236,345,370,229,177,406,150,306,4,30,328,271,433,337,62,170,343,20,286,236,31,50,452,154,217,189,396,398,65,350,70,242,32,140,375,250,149,228,251,88,85,380,464,247,61,199,158,203,159,422,315,460,136,107,294,65,265,417,79,298,479,107,295,414,167,372,354,139,433,304,319,465,196,277,210,302,255,499,125,219,127,3,70,146,85,348,384,467,457,381,469,274,15,124,25,27,289,277,439,256,373,92,363,392,216,265,533,367,91,380,54,14,542,483,379,84,522,554,121,469,51,140,388,108,486,326,276,14,566,524,147,369,10,352,297,101,282,166,501,522,58,439,555,52,444,212,279,167,312,17,369,275,446,265,98,299,375,435,158,67,407,134,198,538,74,395,421,22,113,455,442,350,47,497,462,363,361,384,50,294,478,414,295,122,531,400,472,370,262,526,352,335,203,331,594,187,71,372,572,246,197,566,61,523,83,133,388,274,38,24,84,312,180,548,89,454,105,345,486,124,435,238,654,553,603,251,384,467,325,448,186,69,383,397,458,1,513,326,173,296,362,280,90,13,303,642,247,422,184,221,229,659,427,390,256,678,94,482,78,424,23,183,255,99,454,11,284,391,653,111,74,38,606,393,587,451,114,229,286,305,584,239,425,189,386,161,3,193,660,488,670,509,653,151,570,561,66,179,19,218,507,181,421,388,336,287,679,116,297,520,564,241,738,51,122,269,662,169,125,547,117,521,649,259,331,639,48,64,283,598,25,118,588,275,688,735,315,426,272,533,436,290,413,775,541,427,415,461,401,22,375,281,618,411,80,22,494,127,599,714,474,138,43,598,255,42,786,577,156,632,328,389,640,88,808,567,354,74,802,291,546,402,37,356,690,790,511,150,697,190,43,80,134,285,829,233,0,120,351,296,397,616,261,245,64,328,390,307,328,838,93,77,58,26,781,645,733,9,284,532,504,207,438,587,775,226,330,621,780,428,270,172,669,334,650,411,65,782,93,456,679,873,163,224,867,283,204,857,196,841,123,843,176,23,396,105,582,760,24,177,474,813,27,277,68,41,38,200,62,425,783,884,183,692,772,664,183,262,208,256,702,178,550,632,276,153,772,125,202,532,311,99,534,310,384,759,530,787,71,817,607,84,590,232,49,743,294,732,138,197,355,483,259,809,566,516,872,763,529,634,156,902,458,876,384,366,90,91,136,34,923,921,12,666,152,101,220,348,76,283,867,450,754,918,196,206,654,621,444,480,941,633,418,821,371,320,521,356,231,316,558,181,343,856,550,76,530,150,624,519,96,957}

Returns: 829474120
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1119,193,445,1133,1192,152,1071,106,1061,108,638,484,226,902,36,490,768,805,8,775,489,591,726,1260,992,1229,806,1231,612,1164,357,1079,527,959,846,904,1305,489,1136,776,336,448,866,434,683,1028,429,90,1213,1312,985,257,1244,748,574,199,264,959,1146,806,342,857,188,361,200,156,156,517,1278,857,552,1046,1384,180,518,661,1315,38,801,1188,705,1366,927,1250,1106,1351,478,1349,1391,84,1004,1198,49,133,280,200,776,1014,199,620,270,378,80,371,195,927,1401,212,614,1324,41,1399,674,1084,286,402,214,1366,614,1427,270,54,1081,1390,274,275,1358,1101,806,423,636,581,590,1142,387,175,1185,1173,225,383,826,10,1413,1283,14,476,534,775,638,633,712,128,882,873,779,462,764,1322,390,1483,891,618,31,665,408,312,1299,1059,247,604,174,1246,402,1061,754,457,474,1112,931,171,557,357,60,164,762,1462,287,1487,80,1373,1006,310,772,557,521,1391,608,1385,1084,1150,311,703,0,562,20,854,1546,124,490,240,468,1413,361,837,327,808,1258,1137,224,208,1076,1451,1437,703,388,1529,54,303,1227,1102,1093,708,1132,36,829,186,395,355,523,12,62,286,370,302,681,1035,364,531,1474,624,350,1186,127,936,850,305,405,1378,255,898,1026,254,1008,689,1022,364,927,1199,288,258,1412,182,1570,801,595,861,333,1321,632,1213,601,34,1581,1163,1303,162,851,512,133,1502,896,271,1394,462,474,1406,55,1465,484,856,242,539,744,1073,912,636,878,90,898,1240,1646,794,1007,1175,279,933,187,549,1263,1445,1322,492,1078,1022,118,327,799,610,1280,141,243,205,1177,1670,1573,1217,113,1443,1403,861,1299,1504,307,1087,1072,321,1345,1071,1068,1282,689,1591,249,1408,72,1080,1557,42,1154,294,24,953,412,1030,872,1033,760,1130,1301,676,1277,831,925,131,1606,1427,318,1095,1707,330,1555,1718,562,1714,1453,1357,787,548,786,378,50,260,187,931,1050,396,1243,662,621,181,872,160,1493,663,1096,1163,782,1295,1537,937,965,557,330,281,153,1478,1756,1113,1429,618,1741,401,1677,1126,250,623,820,1518,706,1010,155,1501,275,1327,724,365,772,1031,569,33,536,1270,1063,1376,498,653,1005,1336,58,646,1326,1330,1663,1511,97,328,1292,842,488,1052,1434,82,1749,335,1234,1321,283,1722,528,1124,381,103,1811,871,821,484,1094,1700,1813,1087,736,1661,7,773,1693,102,205,1017,270,285,111,1447,311,457,1478,254,1572,443,269,805,1693,1396,124,581,1366,767,1808,551,1761,1562,1703,1368,1195,1712,559,1706,1464,707,793,21,1233,906,581,134,1094,1041,37,1042,457,117,295,998,1538,1571,727,581,1362,1352,1476,1396,900,544,759,1465,790,947,565,554,650,478,1817,1536,843,181,528,1577,398,610,1054,1371,743,1702,468,1686,1208,1501,372,1489,1742,973,233,1432,1350,785,1026,680,1572,1623,1642,396,47,349,1436,543,1341,1838,201,441,306,1057,1389,1470,1165,1396,912,716,879,279,1483,1617,1351,1151,564,1909,1623,1085,1112,517,379}

Returns: 231650940
{0,0,2,2,0,4,4,1,8,5,9,1,4,6,9,11,12,10,4,13,7,13,19,16,12,22,18,18,10,4,9,18,23,28,30,29,25,14,25,25,1,15,5,1,42,19,37,32,6,47,22,41,49,23,15,46,47,33,31,15,8,17,4,30,27,37,34,25,48,40,38,7,19,8,29,23,47,44,6,5,34,12,8,74,65,26,36,54,13,51,49,0,4,26,37,46,35,14,5,25,79,50,78,91,46,16,42,59,28,108,8,2,48,57,97,95,2,91,56,16,30,27,27,39,102,43,55,41,109,33,94,26,30,81,39,77,55,74,49,63,40,103,136,14,134,68,2,66,127,71,102,4,87,25,148,93,151,36,137,25,63,159,51,72,23,150,71,53,115,57,66,41,76,54,25,82,34,40,61,153,88,20,140,137,39,102,116,46,105,79,67,68,33,175,103,27,53,180,111,162,153,173,112,118,49,136,29,86,170,110,75,126,208,68,99,88,23,201,68,189,144,124,154,179,217,81,209,78,61,153,209,117,78,141,56,219,25,131,103,226,118,167,68,143,6,20,93,170,248,36,93,192,116,209,1,238,70,234,237,151,75,1,69,158,246,36,95,173,143,165,269,190,104,19,195,244,48,139,106,165,150,176,11,141,72,127,129,252,265,115,212,264,216,151,39,205,76,124,105,207,286,245,242,274,2,101,18,167,285,98,91,297,279,294,158,1,101,235,104,295,12,108,16,282,49,174,257,282,315,207,140,191,182,232,330,293,94,190,91,242,124,255,72,136,105,4,133,300,118,119,337,149,220,71,305,317,138,87,60,196,226,201,229,63,112,357,100,304,81,54,86,215,220,93,237,88,92,280,326,173,130,46,33,239,221,229,17,240,156,22,228,381,198,302,94,277,300,95,378,75,16,22,50,168,296,331,144,258,388,27,52,126,45,129,402,349,16,13,266,133,242,63,399,59,366,418,202,190,295,254,102,430,323,332,130,197,165,239,390,86,331,76,103,33,5,114,107,7,282,116,313,150,296,392,358,311,111,427,272,105,290,206,316,65,37,433,380,212,322,296,446,164,77,36,260,299,151,374,133,148,279,467,472,52,45,211,1,280,187,295,39,244,211,412,472,219,165,4,266,252,307,500,182,468,81,214,224,376,107,453,100,46,502,200,456,19,38,448,329,64,439,138,182,73,75,51,208,421,46,257,150,96,124,311,221,77,365,36,315,112,228,462,381,283,436,201,213,371,89,508,499,173,518,427,130,553,358,217,527,327,114,308,207,125,349,302,345,65,40,504,291,495,185,540,209,420,230,265,223,7,177,78,383,120,345,117,30,512,179,113,99,233,175,30,191,127,530,453,50,510,587,579,413,252,270,485,470,465,227,197,542,601,385,229,339,561,202,315,252,126,543,370,580,243,12,540,168,342,282,170,544,117,263,434,555,568,217,314,142,41,412,155,52,287,440,445,324,464,324,231,375,555,231,572,228,237,555,335,189,337,522,575,106,421,277,377,120,375,76,488,159,598,485,628,103,318,145,405,429,341,317,449,493,582,630,484,202,46,144,302,540,594,599,227,351,136,608,249,496,345,543,613,600,382,348,671,522,205,592,597,175,359,68,118,378,28,347,683,593,527,596,543,19,199,571,209,579,148,435,77,404,662,616,86,99,650,113,212,320,466,39,178,169,376,377,303,404,257,353,627,430,728,303,306,155,157,134,695,173,402,730,555,63,165,178,273,733,610,385,270,369,531,525,513,464,14,329,101,147,565,35,160,29,241,363,400,617,359,682,294,661,266,231,94,325,43,428,341,381,45,404,418,479,674,724,384,92,97,570,485,215,720,96,173,242,369,177,638,296,819,193,693,344,620,384,407,800,12,533,423,776,341,583,422,282,189,31,254,235,395,645,495,23,381,443,663,67,466,272,90,657,751,783,416,720,248,733,344,531,508,489,721,61,352,339,167,74,184,860,175,817,587,802,585,648,522,415,819,54,42,227,325,862,553,847,632,615,461,40,39,326,479,431,610,514,87,732,325,256,97,509,748,517,184,657,516,136,741,380,774,573,802,628,666,454,555,715,653,94,252,22,3,6,140,545,328,370,194,339,669,200,667,260,188,311,819,631,409,625,267,526,500,57,546,791,936,438,742,323,772,726,645,896,161,608,77,268,306,906,937,257,162,566,29,436,561,720,548,343,658,380,667,831,801,292,817,717,429,145,869,186,748,148,592,961,706,463,52,354,561,158,243,626,52,400,452,186,0,38,619,475,362,486,871,326,490,462,857,612,163,623,970,946,133,261,613,420,784,199,2,115,122,83,906,105,982,968,776,308,814,112,31,478,889,280,497,150,426,671,576,1026,1011,973,971,14,358,726,59,810,42,812,442,128,575,438,244,119,654,96,620,36,603,575,682,776,270,755,458,764,831,614,207,80,324,253,193,271,848,805,107,553,637,224,886,256,564,1082,1082,25,333,251,294,860,210,179,386,1074,624,36,990,1015,364,640,366,131,491,396,924,537,307,392,381,1065,1013,702,904,536,737,1026,196,219,460,709,636,490,950,159,144,941,969,253,997,331,98,699,133,832,230,104,644,729,851,306,145,298,765,472,5,552,70,753,249,62,611,337,335,930,527,159,980,19}

Returns: 932132968
{0,1,1,1,4,1,5,5,2,2,6,11,1,13,1,9,8,13,14,1,15,1,4,9,8,11,9,21,13,27,18,14,6,25,30,2,13,3,25,19,36,24,42,32,10,45,14,42,45,44,4,47,52,40,29,13,50,22,5,5,31,35,24,46,21,50,52,4,38,41,27,71,70,56,13,17,65,40,38,11,69,80,28,35,56,55,28,43,37,16,7,60,32,74,83,18,46,68,69,23,79,81,72,18,89,81,40,17,18,15,40,20,23,36,2,56,110,82,80,36,51,34,5,7,91,19,82,34,122,47,111,127,4,39,14,27,27,55,4,92,75,120,117,77,22,66,64,102,77,18,34,31,63,73,131,21,64,126,150,39,61,55,123,61,91,135,11,154,150,31,161,18,61,157,117,159,48,162,159,98,30,9,21,60,25,113,11,102,75,174,62,104,53,13,145,104,64,10,160,63,54,143,52,88,33,75,137,194,15,152,20,50,80,139,154,172,184,42,84,106,161,5,147,205,201,170,164,105,188,33,173,75,151,17,89,133,159,28,21,28,146,130,6,212,21,141,112,61,216,54,152,242,120,127,243,63,118,187,141,215,162,96,161,157,36,196,46,213,112,56,195,103,154,183,250,260,44,211,253,146,108,226,120,137,188,79,45,5,265,149,254,122,214,163,94,141,274,278,109,233,72,106,62,122,47,264,78,25,194,209,301,296,100,235,115,307,223,179,106,167,131,35,322,58,311,244,128,172,275,92,110,328,220,202,275,62,235,282,174,323,228,28,261,1,250,10,338,65,231,299,121,142,86,72,349,12,73,180,312,265,152,186,166,266,80,83,283,217,251,223,13,62,29,114,85,12,268,338,353,122,300,52,372,289,32,69,28,351,242,28,158,148,262,386,321,388,279,99,203,37,131,339,72,279,221,309,259,81,236,380,194,394,117,274,166,72,208,229,86,375,254,352,297,141,163,141,399,317,249,260,262,26,85,229,115,213,142,78,180,393,84,47,360,285,437,363,182,428,279,408,264,201,426,230,313,165,131,101,58,305,123,65,439,350,279,11,326,116,307,237,431,459,280,380,225,124,361,28,51,243,255,192,292,464,347,414,441,84,176,328,7,276,57,224,143,492,22,407,179,21,209,377,389,367,381,382,65,111,453,465,449,328,109,467,277,360,481,320,238,208,94,321,223,135,390,375,103,313,173,486,84,371,353,334,312,270,237,165,113,92,168,199,532,112,541,458,383,526,329,421,346,467,243,134,421,526,430,119,255,446,4,438,236,2,162,32,329,383,443,383,532,53,542,330,323,53,208,456,279,85,407,514,196,268,303,319,491,483,328,446,129,20,232,566,485,418,320,422,430,370,518,189,578,169,129,528,93,350,352,165,150,445,105,39,283,27,557,95,20,496,500,466,317,147,166,440,37,472,191,488,15,296,391,435,77,484,109,504,470,563,425,529,397,474,485,528,362,81,85,276,249,516,243,72,607,385,217,528,361,60,589,485,263,424,655,615,150,247,73,382,438,477,241,214,663,129,580,492,48,349,667,277,115,175,190,268,481,440,365,9,622,524,592,173,216,506,250,576,202,417,409,198,582,195,20,537,564,465,164,161,106,488,483,532,184,34,48,1,216,607,178,223,423,542,12,64,622,663,699,84,32,459,14,71,472,78,463,613,97,211,536,51,358,592,437,473,573,528,374,247,253,79,748,198,220,465,54,625,312,550,502,504,621,231,643,138,689,100,533,146,310,593,342,79,666,551,386,245,381,221,64,114,534,623,338,23,43,525,99,204,602,671,16,264,179,539,713,120,200,591,174,790,538,114,670,419,346,325,659,120,594,218,595,245,297,535,151,667,162,63,107,279,53,810,234,34,738,783,2,404,279,87,385,29,567,247,684,254,11,560,216,563,798,586,32,564,528,383,253,174,146,6,151,373,72,224,453,93,4,141,225,383,196,258,549,757,165,562,841,460,543,850,641,376,175,865,123,684,397,368,809,298,857,875,393,572,857,768,641,321,705,463,21,686,101,474,574,243,773,438,491,141,724,146,395,53,266,208,37,669,790,129,367,135,110,680,185,342,453,826,523,6,569,53,544,56,838,390,798,654,398,259,215,356,684,753,113,657,6,814,759,593,731,635,282,295,173,287,379,246,841,903,645,747,859,641,918,704,257,111,36,664,840,646,647,313,792,398,762,576,187,151,712,857,434,276,332,437,369,136,524,380,246,214,117,802,437,573,957,14,670,668,944,1,595,470,297,120,262,857,901,80,191,184,176,609,697,902,341,716,883,289,765,21,573,968,802,67,975,80,255,762,281,661,135,766,589,639,895,12,646,331,572,51,416,384,946,805,920,697,66,322,66,152,941,385,124,947,236,889,181,631,603,198,287,610,283,23,720,742,861,574,504,418,27,150,1002,187,885,314,289,851,550,637,621,488,258,932,712,1073,772,323,530,41,1047,181,300,12,580,54,12,125,886,97,487,49,166,638,252,893,95,241,780,334,56,287,777,654,1013,671,584,1025,166,643,120,42,389,766,592,250,442,848,313,131,334,452,826,205,617,319,718,1027,608,969,591,1106,349,729,491,781,784,436,538,692,783,365,307,298,577,293,712,149,1125,563,865,961,861,460,611,432,185,145,384,324,180,1154,354,517,715,1152,1064,861,309,371,929,985,213,1049,533,946,802,640,492,292,426,611,499,701,963,360,408,1033,493,435,1106,197,347,288,1054,753,784,492,803,254,1001,881,656,48,290,905,1175,333,357,601,246,1007,933,3,294,990,271,337,1001,560,856,531,291,1216,1000,441,720,237,1021,911,261,573,1009,199,746,1210,1112,585,363,95,719,1109,503,510,458,82,1073,625,10,934,695,590,20,293,820,1087,642,27,382,1170,87,521,893,861,293,871,568,782,894,1033,316,929,67,718,572,730,407,786,543,236,77,967,1157,2,973,1098,672,770,727,951,234,439,76,483,310,807,591,765,264,1204,1267,493,1215,378,605,412,717,1098,218,937,109,910,1130,890,429,1108,1019,34,192,183,1161,1131,508,836,736,75,752,306,333,969,199,1020,523,27,818,174,649,152,1277,1174,1177,3,536,876,326,535,615,101,950,981,883,976,756,387,210,881,615,837,818,70,94,1357,370,1151,906,1045,1043,1326,1334,361,1336,39,810,807,1290,776,1052,799,1146,1268,674,712,16,793,358,1083,428,471,305,1034,1292,447,387,482,994,1140,155,828,992,1041,484,987,175,1123,1392,563,1084,897,1008,257,691,569,47,874,1137,504,384,110,759,93,140,932,50,750,1136,7,672,740,276,867,828,855,1148,388,1396,181,13,1129,406,667,224,442,1193,293,582,847,516,1147,621,1164,1376,523,1340,1406,1432,818,1246,680,1061,669,647,228,1373,541,678,1099,1192,2,324,570,1366,883,54,205,508,854,851,183,1387,1185,1111,903,1245,1258,871,719,1071,115,1195,1313,1271,241,923,1453,999,658,904,1350,508,500,74,716,283,536,1342,193}

Returns: 424033147
{0,1,0,3,1,4,1,3,1,7,6,6,5,5,5,14,8,16,10,2,10,13,13,22,10,13,4,9,16,21,15,2,15,22,27,17,31,26,31,21,29,17,25,38,36,40,42,21,24,29,6,45,31,49,15,5,23,54,51,19,20,46,39,11,21,60,14,32,23,26,4,10,58,63,17,65,69,71,31,25,46,50,63,2,40,39,8,74,34,49,10,65,48,8,40,84,37,77,72,9,55,40,47,82,62,89,56,60,38,42,108,97,5,55,41,93,95,88,79,22,14,104,31,66,114,6,95,38,102,29,125,40,106,102,95,36,7,99,134,18,112,22,124,22,124,105,80,122,130,42,104,48,151,20,151,15,47,130,140,104,101,108,3,92,164,83,87,40,152,144,139,56,134,47,115,160,79,119,177,160,109,160,31,17,165,125,172,0,46,52,144,67,108,101,11,50,173,167,63,120,60,90,49,101,174,2,91,70,178,157,44,195,67,10,145,89,102,8,179,104,88,208,198,190,2,2,45,181,73,23,163,161,156,166,168,218,104,203,121,81,125,26,140,44,95,173,147,183,244,181,190,28,53,250,162,226,57,46,244,6,122,243,249,78,130,78,196,50,29,21,246,184,208,170,75,243,215,55,239,75,2,237,4,83,64,84,8,23,282,16,233,276,8,38,290,189,205,3,55,166,177,58,154,276,288,93,158,107,257,277,103,47,120,115,152,142,209,264,54,68,14,287,267,240,50,138,202,214,141,3,240,138,106,81,67,332,294,105,113,257,271,124,123,336,194,184,262,124,139,35,301,177,2,346,41,173,41,75,348,170,110,353,127,209,97,42,230,265,88,184,86,56,315,313,162,361,104,107,191,22,323,111,256,40,299,227,234,329,371,368,128,169,28,211,252,116,196,222,219,290,315,235,65,273,169,229,197,287,39,352,376,80,239,347,2,206,247,303,191,137,198,24,262,194,303,16,268,422,10,299,68,304,424,6,91,319,264,402,402,349,425,202,206,333,85,8,116,14,199,231,26,135,415,443,332,118,234,174,224,308,358,31,9,427,419,348,384,403,273,229,231,73,115,387,217,185,1,346,133,174,445,223,445,255,350,476,215,260,340,256,74,377,103,220,63,330,323,58,186,349,94,297,255,3,319,502,263,405,296,445,235,374,222,256,445,8,175,209,241,517,400,58,271,430,121,74,202,294,494,510,286,92,430,272,425,372,444,291,293,25,518,232,130,303,31,256,304,143,84,296,398,312,351,100,21,119,87,196,323,438,96,286,538,392,122,113,507,356,273,177,336,336,325,186,249,353,338,127,204,344,442,385,131,438,407,410,216,31,256,229,139,355,346,484,395,483,315,400,598,2,261,565,350,567,445,11,30,371,329,67,234,22,363,258,129,142,169,150,17,243,469,365,377,100,439,132,517,266,440,581,83,215,518,481,169,486,331,122,147,461,475,484,485,37,356,289,113,154,45,324,453,458,387,143,322,210,360,572,140,316,368,377,548,219,355,4,36,460,231,617,103,569,468,279,581,534,525,618,588,7,41,404,363,365,454,5,641,533,69,616,187,251,31,408,143,580,419,78,257,365,295,286,217,252,72,434,240,401,94,611,424,615,687,481,5,295,202,513,571,244,556,655,521,15,387,277,646,397,81,692,487,234,24,667,416,97,677,644,280,241,204,351,437,634,378,631,588,105,686,609,10,280,0,617,659,713,589,718,519,124,654,320,127,371,505,296,10,558,761,600,11,571,204,256,736,143,80,204,143,262,393,765,589,232,487,98,418,237,142,218,295,234,304,733,264,47,441,245,171,267,718,168,625,415,175,765,730,415,435,16,20,551,605,643,34,29,446,10,195,314,434,375,65,230,650,172,401,783,388,419,610,737,113,594,73,480,226,255,372,306,611,555,724,60,674,812,195,270,372,245,114,657,234,705,609,208,373,350,677,35,446,764,406,792,22,358,119,54,480,210,556,175,694,683,752,468,651,68,846,692,245,753,47,57,608,174,823,850,558,362,761,617,49,405,305,23,587,744,14,850,72,276,307,494,481,26,425,396,89,906,143,550,410,106,637,287,709,648,837,202,439,554,553,688,725,629,229,391,660,843,556,700,888,56,895,825,672,650,458,287,277,851,910,781,100,13,283,74,663,388,765,312,162,699,858,410,835,372,70,911,443,509,933,87,675,243,747,421,397,484,20,758,76,129,963,17,539,144,172,151,757,464,552,693,387,283,335,784,125,40,587,152,912,659,177,580,393,167,601,716,608,350,182,496,332,394,251,361,368,32,698,378,458,813,122,481,941,654,377,101,907,167,314,777,155,731,57,1010,173,429,476,950,374,794,68,98,484,327,134,94,405,670,857,62,626,127,728,67,467,181,319,1022,1023,897,435,395,58,26,513,702,253,907,349,1043,69,8,160,1060,638,701,460,199,654,738,5,995,960,645,439,539,899,587,232,582,828,283,447,198,221,164,525,703,884,971,314,114,623,1054,964,97,138,538,439,429,578,34,722,371,794,545,481,763,270,865,210,810,925,1092,237,97,609,854,505,270,20,301,760,563,754,908,772,973,721,1131,90,119,1040,1037,687,31,229,945,1102,24,194,1076,354,265,374,746,590,133,958,288,953,55,123,391,967,1103,467,942,620,914,914,640,457,1006,590,438,651,1110,388,672,324,909,546,172,214,1124,254,896,1056,281,570,287,979,377,279,219,762,358,935,679,1070,161,370,287,173,282,246,279,41,342,296,756,920,896,792,537,287,767,1134,716,597,774,76,1149,825,1185,502,1120,1046,575,1219,765,957,773,958,282,521,402,419,949,429,579,368,810,289,113,440,1190,1190,37,937,948,351,723,1192,1133,77,138,970,1014,276,19,300,475,569,1252,250,85,1007,927,884,66,950,414,1120,46,1108,545,1090,1051,40,650,220,796,851,9,202,941,1034,317,591,532,1049,753,1230,685,419,34,981,110,73,104,882,1224,11,1051,1154,1201,85,1200,744,56,797,1088,239,875,298,1072,1125,739,589,677,1172,55,596,778,603,720,63,108,784,1307,105,614,847,917,439,757,73,683,120,1053,600,549,500,520,584,329,1170,335,452,819,431,1095,809,239,102,110,504,114,1245,922,422,214,857,1072,1159,1025,788,45,714,82,167,57,356,524,373,1305,372,265,671,270,984,301,814,643,413,216,939,420,1122,112,1327,931,1165,1134,526,895,63,846,128,566,1092,840,448,1267,939,1263,1213,1185,1134,1261,464,151,1081,761,1188,1212,1010,1298,1155,1348,271,536,1244,236,1196,471,1294,730,66,250,320,1065,80,1347,760,180,1122,492,223,900,721,252,1212,463,827,233,152,642,752,987,1412,903,347,291,1270,236,36,289,512,458,456,1247}

Returns: 714887698
{0,1,0,3,2,2,6,4,6,5,3,0,11,13,8,2,10,3,16,4,3,20,17,14,1,5,10,6,19,13,23,6,28,2,30,25,27,20,20,18,6,11,9,9,39,40,11,31,43,30,22,36,44,8,4,47,8,21,0,6,19,13,10,22,36,46,52,13,36,61,22,54,26,13,37,58,2,29,0,53,13,76,41,42,68,66,45,74,61,77,78,77,75,26,52,35,17,59,41,95,4,26,17,58,31,61,55,86,38,63,109,43,16,68,77,74,67,116,106,64,110,60,24,49,48,78,74,21,78,91,94,31,130,70,91,60,99,127,73,26,116,7,88,106,12,129,23,131,135,35,120,49,2,88,35,24,74,83,25,148,78,23,41,48,113,112,69,150,96,71,153,31,44,29,117,171,81,166,132,130,36,170,47,140,13,2,14,163,91,96,62,7,164,116,157,87,124,8,115,30,54,16,103,34,49,175,136,132,160,18,172,8,28,77,55,99,100,199,84,78,158,158,191,88,111,65,224,60,27,210,76,108,108,139,111,10,202,196,196,205,227,7,190,199,185,82,173,140,40,175,158,137,88,153,84,237,83,227,161,47,89,41,105,258,10,89,27,182,203,35,224,208,183,53,164,51,21,270,83,136,217,94,169,127,237,91,265,175,26,236,198,72,238,212,7,95,0,242,26,73,44,192,183,131,31,209,172,166,75,26,123,127,96,179,75,189,55,230,60,70,256,4,29,66,163,187,235,82,173,304,189,300,61,48,195,144,254,22,329,194,183,67,133,192,255,177,118,79,340,22,42,58,247,72,333,331,253,345,191,284,290,332,10,215,106,76,321,221,268,310,3,117,314,2,360,101,104,101,372,369,337,70,91,146,225,41,372,277,336,89,145,117,133,159,267,274,295,204,293,146,351,18,9,309,352,365,240,220,381,335,153,191,279,401,370,151,69,135,308,93,120,137,421,236,268,118,140,165,164,119,83,409,415,431,322,430,88,240,43,30,264,79,292,113,319,413,269,17,113,165,231,274,73,184,172,435,255,199,347,195,24,126,109,105,220,61,50,274,343,138,257,419,202,165,404,330,258,288,53,200,171,462,443,58,355,379,247,264,217,142,335,181,257,357,51,153,185,489,106,375,47,342,239,459,286,345,407,15,390,168,412,4,463,100,91,371,418,10,116,348,389,35,141,416,413,501,7,306,46,112,431,355,227,81,264,238,490,199,340,244,311,106,298,204,197,286,485,379,479,314,4,183,472,204,221,109,232,267,543,44,275,222,246,372,428,169,46,371,563,423,210,445,190,220,451,298,53,234,422,112,458,17,269,105,59,197,222,583,522,525,252,351,24,388,203,271,164,512,315,179,227,249,226,21,352,490,599,324,25,483,528,570,0,474,268,194,138,434,21,313,161,205,444,530,495,401,297,491,347,496,320,614,110,435,193,634,36,337,10,579,123,262,322,179,451,458,124,369,605,525,134,506,21,424,81,351,307,247,44,74,618,593,305,236,661,543,493,654,573,644,255,175,254,459,101,301,247,173,35,623,530,96,505,543,138,399,476,44,474,324,113,298,202,3,526,429,629,631,167,674,449,683,686,655,501,75,427,142,559,370,204,92,384,230,37,696,58,487,569,418,625,367,337,432,641,474,491,344,677,583,551,118,175,298,284,12,655,85,731,136,582,209,326,248,228,182,421,313,533,677,363,472,469,7,169,364,327,696,568,270,657,712,134,34,226,624,371,79,645,51,542,595,605,359,585,651,244,253,712,129,302,663,568,760,96,722,705,602,722,525,495,791,777,159,472,525,377,75,437,606,229,147,424,277,300,205,339,460,567,157,187,710,462,115,602,553,549,639,775,2,122,12,316,187,90,384,296,588,107,163,95,514,663,487,715,745,469,276,497,389,441,214,383,62,520,44,614,658,474,623,237,211,334,624,565,722,683,90,611,591,8,542,303,290,307,462,532,278,580,578,699,20,457,513,869,526,370,531,782,12,608,455,323,842,730,26,91,115,10,328,234,602,111,67,488,808,560,530,251,553,562,785,149,346,247,281,165,670,766,600,783,831,464,409,630,351,627,206,598,184,615,214,561,785,220,11,856,762,407,659,371,594,340,535,671,62,780,793,592,157,64,96,519,754,420,567,760,90,169,644,215,903,358,857,814,64,154,848,927,65,26,120,342,317,598,796,882,698,422,573,739,105,320,428,602,255,535,105,87,267,71,343,256,297,80,153,625,778,747,896,89,613,789,945,326,797,42,118,414,916,639,721,959,180,86,510,522,828,898,175,40,197,1008,176,83,117,671,447,151,796,413,353,371,974,415,623,968,932,329,532,528,781,86,621,581,107,419,92,24,834,572,1009,581,753,944,324,239,309,337,22,108,194,339,46,955,3,625,493,238,60,645,33,821,117,378,205,1008,842,447,385,154,153,734,860,823,548,335,627,377,351,789,6,461,276,389,769,982,653,1,175,257,14,924,342,335,68,386,591,49,633,292,249,579,809,123,95,1067,627,65,1005,505,701,956,864,210,733,980,438,196,756,199,216,448,774,110,1065,123,258,980,507,1117,751,581,478,957,809,492,1023,1044,41,354,758,686,861,21,63,1091,507,941,434,535,192,1013,277,936,763,549,62,697,494,90,399,916,837,210,1120,203,579,194,526,238,1153,651,862,811,599,795,1155,1062,176,1108,1088,447,537,573,643,890,111,494,258,1189,1001,904,145,517,964,256,250,646,381,229,318,822,538,1045,9,209,365,1198,479,844,1037,1081,460,70,1127,306,354,450,976,1059,904,961,227,1068,410,649,113,420,972,251,464,257,598,25,1061,434,736,1078,653,1028,339,223,1170,1213,873,754,497,488,196,984,867,1015,497,829,604,677,593,780,195,377,1063,834,228,265,169,121,1090,209,514,593,209,1168,456,1030,1047,122,395,726,384,527,434,1004,1112,1095,63,579,828,897,1217,391,1081,501,1082,1217,0,957,1130,1290,825,1004,1018,856,655,469,1283,653,39,187,327,1162,860,380,969,791,650,534,400,448,586,376,440,249,946,435,484,679,446,511,83,184,993,747,266,814,584,290,122,1165,487,1060,580,250,1165,309,1206,644,1255,99,1292,200,792,1292,320,438,775,1349,411,1128,804,783,780,695,352,124,223,1046,179,177,408,665,1203,591,514,746,1179,1158,1257,630,641,746,100,449,852,1204,1342,1343,972,767,1055,1243,731,639,613,1052,1308,478,289,1256,882,1373,623,1224,607,171,688,157,13,33,1180,884,1101,158,1078,211,351,925,897,1101,773,233,1252,799,11,563,56,1349,1318,396,817,518,307,1350,432,315,447,1380,691,645,428,1140,651,309,1347,920,1366,434,360,1236,788,792,818,510,1342,259,715,116,1239,990,742,1323,702,580,279,1438,600,270,31,856,1375,337,1281,165,1046,1288,115,1114,756,1348,209,808,557,793,1186,498,173,762,741,142,364,743,1140,1181,1116,1450,1278,1343,666,1326,890,1494,313,115,689,1217,831,756,769,604,127,204,472,569,1140,1334,1342,1160,1202,1230,1023,545,217,1053,59,273,430,550,792,1223,150,1155,109,670,632,113,1127,718,949,360,192,299,425,1009,470,767,357,1163,699,1150,310,1366,866,658,1216,6,992,212,752,1045,516,1060,736,379,1308,453,398,1235,362,564,803,169,797,1497,1062,910,59,1277,1030,1420,1054,289,826,48,966,34,937,191,607,51,1165,78,260,560,390,20,1571,1157,418,886,1473,1455,1228,1510,0,1218,886,258,1335,1184,901,1405,1586,297,1432,424,867,1156,1076,744,932,356,390,1015,774,951,132,38,997,262,560,477,341,1468,1278,1496,1205,633,118,150,250,81,772,939,1366,391,827,1256,544,450,1067,921,15,519,75,1337,763,1551,74,450,504,192,1005,1641,1550,1194,1044,1387,259,239,1479,1351,1251,1237,1535,581,1489,544,591,598,103,903,633,1569,7,1329,507,1255,83,806,1179,980,762,886,1100,345,1524,329,1220,1302,492,1568,937}

Returns: 295583051
{0,1,2,3,3,3,4,1,8,7,7,1,4,0,9,6,14,15,16,12,3,11,3,8,5,10,13,13,25,13,16,20,17,15,34,15,6,7,1,39,33,27,33,7,6,40,10,16,22,9,44,34,6,10,28,27,56,46,48,31,8,44,0,56,57,58,14,35,39,63,27,50,52,69,14,7,21,55,68,73,17,17,18,81,62,64,11,8,23,70,46,3,48,51,58,63,14,42,95,43,90,30,43,58,48,63,33,105,5,34,13,89,19,4,22,108,55,112,61,110,10,38,112,2,106,10,88,82,16,98,68,131,107,127,89,120,24,116,83,82,99,16,100,88,65,5,124,27,76,107,89,141,5,79,60,134,127,52,12,151,50,6,0,75,3,79,3,146,70,71,89,76,0,2,56,174,96,46,127,147,85,112,100,165,150,141,87,108,35,145,177,120,23,189,183,71,164,56,31,74,181,2,14,72,10,67,90,147,109,204,38,134,100,198,114,182,181,177,61,161,24,128,130,59,78,170,68,63,15,151,75,38,126,168,170,219,219,92,154,207,82,53,54,109,208,150,104,16,223,215,158,203,58,236,19,170,31,88,188,252,46,80,221,24,202,231,55,163,21,256,186,234,176,232,25,40,192,117,105,91,260,88,211,160,215,188,2,75,55,56,85,48,87,30,273,215,102,82,290,42,0,73,118,28,163,31,15,24,208,26,127,215,189,243,246,51,88,67,153,168,7,86,4,272,89,165,102,202,318,63,220,7,42,44,250,29,231,335,206,119,290,2,172,229,109,118,161,267,289,64,21,168,260,5,96,305,317,173,24,67,66,229,129,329,325,342,345,198,97,99,347,195,101,309,43,35,243,300,346,206,208,116,374,51,152,319,47,157,23,282,306,161,24,9,384,158,113,206,335,173,15,326,289,26,135,152,66,346,396,365,377,147,256,227,78,113,368,330,356,2,181,267,170,28,101,84,380,53,207,367,172,139,171,3,156,302,288,232,237,227,35,376,40,394,87,426,324,138,278,315,437,431,259,304,357,348,179,133,26,394,294,222,152,9,142,428,103,370,363,204,1,428,412,375,424,431,12,298,149,390,438,325,380,43,121,57,219,121,59,211,451,457,317,470,242,445,434,450,446,369,220,495,299,375,451,213,42,446,216,380,11,237,420,127,359,320,442,486,101,211,269,263,47,314,147,109,467,177,331,68,201,17,22,404,380,418,460,301,82,19,293,131,97,103,120,406,168,73,190,40,209,82,287,443,2,413,101,48,428,172,453,231,127,157,288,382,195,399,418,476,334,354,302,96,95,348,297,42,419,534,554,413,194,262,365,298,86,346,573,82,161,117,323,240,65,69,110,381,508,509,519,331,591,359,164,416,550,52,244,115,27,423,97,29,417,88,294,507,11,282,540,154,269,54,589,338,260,297,611,248,481,132,509,428,240,523,269,154,564,216,382,539,152,412,609,182,621,358,330,3,314,551,26,592,215,246,49,392,180,217,166,568,381,332,600,422,257,412,163,57,396,14,11,667,294,25,436,571,44,634,354,153,420,418,577,636,293,93,476,311,48,373,327,98,520,53,339,73,8,7,415,183,200,544,329,253,393,38,64,130,359,362,104,470,55,256,74,624,47,563,114,322,469,181,201,457,618,559,609,597,429,209,203,543,403,436,471,255,111,368,538,484,441,576,60,585,455,511,650,88,723,256,93,317,714,370,636,156,184,418,264,505,248,472,728,338,109,756,229,11,690,757,254,319,438,250,29,480,488,461,501,293,679,620,423,21,245,786,734,440,672,622,535,56,566,138,375,677,59,391,296,236,266,214,280,390,670,10,801,68,533,772,25,421,645,191,195,113,223,718,427,34,96,699,108,749,158,182,472,437,689,148,715,94,386,664,826,596,570,215,564,13,146,710,162,325,333,194,194,480,44,659,318,59,464,81,845,723,159,615,319,145,276,453,828,106,18,533,30,80,502,672,141,825,14,22,760,416,444,107,635,231,501,675,56,221,21,249,137,732,431,39,654,660,232,577,171,432,680,279,16,67,660,175,784,513,125,788,652,235,263,851,737,627,558,484,435,323,122,849,95,702,596,493,621,394,871,464,709,665,343,868,327,888,255,883,585,468,77,700,428,7,713,291,180,693,336,701,701,318,950,515,861,894,201,273,713,868,759,826,855,590,166,694,943,494,765,388,91,388,499,34,773,277,398,481,740,597,875,561,331,901,117,917,816,410,540,767,241,143,73,263,444,980,308,688,271,653,156,346,556,37,792,438,567,356,802,535,409,44,650,374,90,621,550,961,441,43,44,623,1012,220,957,447,473,564,278,241,471,946,808,917,747,622,412,716,465,852,761,1004,884,899,276,779,384,595,634,189,218,178,884,453,212,804,33,426,63,1043,43,711,211,246,15,917,567,535,372,988,279,1022,389,999,776,53,96,360,703,620,395,987,896,320,783,721,879,670,748,208,73,724,287,1041,32,22,904,307,18,363,87,410,338,376,808,770,325,349,537,1041,1040,928,559,330,969,206,507,863,103,129,901,90,894,499,66,187,274,983,1009,901,801,950,744,414,28,541,299,4,600,552,867,850,1004,1000,315,450,585,718,160,892,1107,233,580,366,243,1145,1096,261,37,294,828,1084,43,842,309,412,73,33,1023,693,172,691,451,991,316,1016,1081,1130,192,725,72,490,1041,981,579,21,892,533,477,823,1099,732,37,449,987,306,185,293,62,128,433,893,1182,693,204,360,1148,0,247,828,1124,329,1,362,240,869,208,600,139,76,645,1005,350,683,351,386,558,1047,87,647,569,764,976,1188,376,751,586,517,1048,827,530,311,776,704,135,1113,1200,560,201,125,138,221,439,968,141,962,574,505,405,793,515,468,1150,1106,1135,498,698,935,705,206,1211,780,233,1212,543,1219,915,505,1030,1224,304,78,637,361,1277,210,234,941,666,148,1150,10,889,642}

Returns: 743694042
{0,0,2,0,0,3,4,0,1,9,7,3,1,2,14,14,0,15,15,9,0,9,10,3,19,8,6,19,4,29,28,30,2,24,25,10,36,19,20,18,21,27,40,27,2,12,0,6,41,49,48,0,25,1,47,38,27,0,41,1,54,38,6,16,9,27,27,23,64,31,4,64,39,59,9,44,30,49,48,37,7,64,9,77,3,41,68,1,70,27,36,15,65,30,8,77,37,39,84,39,67,2,36,66,50,32,102,10,108,76,22,1,50,0,7,61,6,105,21,84,71,18,99,102,87,3,5,59,106,49,39,17,1,80,74,96,83,113,133,132,113,18,121,99,95,99,117,92,59,105,25,119,27,45,92,85,146,138,126,34,146,85,57,126,18,24,18,105,4,108,135,79,3,71,130,35,156,168,4,169,152,70,43,145,118,134,81,150,75,127,88,140,180,179,188,78,134,175,59,63,125,66,146,135,162,152,74,88,79,86,3,106,84,173,28,203,93,28,137,195,139,11,25,128,173,66,24,81,75,45,216,56,227,94,20,208,86,155,9,172,204,59,0,105,174,47,245,222,124,234,94,121,240,225,46,133,238,78,182,14,242,172,114,13,76,218,185,69,161,215,50,101,147,162,19,151,174,34,64,64,208,191,29,180,245,149,279,196,81,70,202,263,21,181,32,198,24,209,22,172,81,109,298,220,302,304,110,180,264,25,294,57,95,93,97,44,22,96,169,165,219,257,56,322,69,209,158,195,235,14,100,83,209,315,175,297,271,81,229,299,159,26,277,3,94,11,346,165,348,336,280,272,189,329,98,240,245,331,77,115,317,165,82,355,71,136,313,195,155,66,215,370,302,228,310,156,141,218,317,278,1,94,129,236,315,159,245,1,276,348,38,343,236,112,381,316,238,86,28,68,189,1,258,355,181,262,160,365,279,188,183,172,253,3,207,355,193,340,408,165,288,40,235,199,249,268,175,273,356,110,273,338,216,193,394,119,358,14,51,78,391,14,69,83,341,394,249,155,306,225,193,67,210,49,346,179,369,396,251,272,57,17,333,70,128,229,230,454,198,143,237,15,262,386,186,255,130,127,60,445,400,136,230,273,360,136,360,387,387,411,365,227,154,465,397,328,163,143,457,384,40,475,290,216,421,47,207,256,333,410,244,497,372,95,266,469,515,2,171,47,24,356,404,91,223,365,97,192,284,514,213,120,210,77,313,432,363,195,126,437,349,289,348,127,187,9,395,136,20,155,516,438,451,325,537,16,405,228,19,70,445,29,412,24,104,548,19,89,250,539,103,260,30,10,325,558,154,29,461,457,237,208,111,33,440,428,89,498,101,400,329,257,433,282,189,250,550,416,169,257,27,424,222,187,220,345,293,455,47,496,104,242,486,584,452,96,181,10,487,568,574,334,183,186,574,417,388,31,579,228,533,136,32,248,469,355,283,287,287,274,543,232,131,145,302,489,409,195,589,548,101,60,410,293,581,425,372,489,195,183,362,69,60,280,303,176,170,367,273,407,226,599,176,489,229,307,559,578,592,41,404,132,451,24,505,23,487,262,241,149,330,561,85,287,229,560,227,47,558,413,630,634,520,222,158,135,576,180,414,118,580,396,90,481,287,593,245,324,380,232,321,150,52,639,367,17,0,671,149,180,6,371,710,168,694,686,322,380,484,368,250,295,302,442,140,326,250,170,23,275,587,393,0,363,147,431,574,726,713,742,607,503,534,75,764,281,350,465,448,170,267,499,158,370,682,596,317,37,667,333,645,161,228,95,57,176,336,334,348,588,476,77,166,314,522,563,501,716,47,109,20,209,361,248,173,462,533,690,264,529,71,224,236,281,662,723,389,69,713,640,481,628,571,724,450,630,512,587,149,628,120,619,551,743,583,697,434,327,415,4,529,635,415,24,697,612,290,477,106,521,334,528,490,850,533,330,567,634,201,685,70,102,96,179,403,852,391,740,27,43,15,385,212,681,169,165,107,174,440,293,721,21,260,788,763,827,543,321,379,126,758,751,860,484,201,812,142,271,420,777,852,109,575,506,109,818,825,767,407,137,703,114,239,719,720,650,731,36,592,903,555,335,156,151,253,680,556,544,867,607,220,2,279,456,5,55,399,562,81,562,283,906,90,925,378,412,162,471,86,647,128,517,114,58,24,123,44,944,29,341,709,889,948,6,705,667,844,280,601,640,3,377,483,496,107,559,341,669,924,839,927,375,852,451,238,133,575,139,810,578,420,276,596,499,360,532,274,408,205,765,380,577,673,278,956,145,807,190,543,822,145,838,654,904,555,792}

Returns: 307340589
{0,1,0,0,1,3,4,1,4,8,6,2,12,1,11,7,2,14,17,15,4,10,0,13,16,6,26,12,1,5,9,18,30,16,12,13,29,0,32,2,22,38,18,22,18,4,33,26,44,46,47,18,49,2,39,30,1,38,34,15,13,43,49,51,17,7,60,3,59,20,17,13,53,29,61,55,47,38,49,2,53,78,62,62,13,35,26,29,52,32,25,66,38,60,57,76,70,76,62,31,76,37,9,67,61,98,58,39,31,39,53,7,69,20,96,28,21,40,117,59,9,27,17,73,3,124,108,38,96,92,129,53,120,30,73,83,13,81,52,86,124,15,2,96,26,45,61,84,8,79,91,56,36,89,105,51,14,45,77,9,151,147,10,56,7,57,25,166,41,47,87,13,158,39,8,118,11,82,81,161,172,106,77,139,103,38,115,5,150,167,164,124,169,29,124,137,192,0,193,51,66,161,77,35,19,52,162,192,102,115,165,95,26,203,116,36,150,10,61,162,14,38,67,7,13,100,12,24,177,97,13,227,131,64,234,53,126,194,102,55,181,90,51,156,72,26,131,61,82,247,184,75,92,23,135,51,159,58,129,192,176,6,189,38,105,235,181,175,232,42,87,50,270,108,212,33,113,217,141,155,126,109,105,159,274,56,267,168,84,231,157,85,250,255,31,3,78,62,243,168,2,12,291,90,37,88,143,281,95,192,69,161,89,38,240,251,92,185,256,13,38,276,106,221,229,58,3,130,263,306,297,285,73,184,328,23,19,200,48,118,185,309,48,325,64,199,286,251,285,156,16,11,283,347,224,137,3,241,215,69,280,344,103,285,251,294,91,224,210,223,107,160,349,342,194,199,129,182,71,22,370,147,311,202,180,203,299,347,170,201,220,201,159,336,221,169,234,86,246,349,324,75,101,16,387,304,223,272,302,198,271,225,323,116,275,240,12,85,396,171,316,182,87,257,374,227,135,213,0,344,33,296,70,328,288,326,337,385,127,152,435,426,355,163,253,379,324,360,24,351,291,65,317,71,243,75,169,125,15,276,411,200,145,438,430,292,273,293,360,128,55,214,238,0,396,65,416,216,263,88,286,201,143,368,446,247,366,87,183,14,193,18,224,456,398,162,467,285,84,54,153,128,251,443,194,374,27,494,223,417,85,489,442,299,286,428,234,375,489,142,431,418,106,57,313,73,140,402,386,43,215,196,9,148,487,142,122,267,458,307,75,313,66,514,243,483,7,302,391,470,149,24,56,224,34,18,503,161,126,382,512,302,106,208,501,151,55,8,261,514,30,403,420,280,235,140,2,344,11,286,225,68,105,140,139,322,82,20,417,352,413,527,81,156,94,365,174,93,10,16,401,511,403,503,233,266,235,174,138,592,240,439,293,68,145,290,366,463,550,208,437,70,177,269,159,478,461,64,613,21,278,183,333,307,558,363,34,309,622,273,128,224,199,310,599,637,96,44,541,32,422,449,602,317,605,559,647,208,201,393,511,389,492,365,334,242,13,538,291,193,593,508,534,322,141,510,32,235,64,160,469,589,154,237,553,317,386,174,611,600,127,283,313,174,34,585,511,138,541,189,42,387,229,696,223,447,240,136,276,391,497,582,412,274,198,608,248,222,199,241,195,458,261,106,38,610,330,36,217,415,125,563,705,620,704,301,499,3,113,67,13,421,17,471,463,521,519,347,417,467,631,513,505,688,729,12,132,666,263,661,128,55,304,97,441,582,13,450,379,108,159,552,651,325,374,402,402,214,168,22,574,288,250,709,576,62,315,610,286,53,189,261,169,548,680,687,327,52,343,64,452,243,487,619,322,159,519,425,530,303,280,64,71,598,8,806,68,32,73,159,731,537,33,235,428,400,607,204,205,812,710,622,606,508,786,783,386,630,223,825,481,286,544,526,412,199,806,140,785,121,378,797,33,435,111,136,77,200,608,292,496,10,470,405,662,850,69,781,404,204,1,732,440,800,873,279,231,774,793,158,473,367,360,376,452,421,790,699,82,254,629,536,61,158,688,764,894,136,843,660,77,334,405,138,345,881,509,836,729,879,395,212,596,156,843,681,709,546,107,429,845,881,585,344,121,428,473,396,920,172,217,929,319,908,25,66,350,531,16,853,110,527,176,248,400,736,578,156,146,260,752,422,829,156,531,427,589,344,349,44,54,899,754,591,505,659,763,573,612,422,543,317,279,152,163,207,542,773,73,72,978,398,237,197,305,889,57,674,174,816,555,358,898,970,358,219,129,911,84,147,579,560,505,24,448,155,233,4,29,521,948,806,719,87,297,987,949,396,591,316,52,349,474,959,209,334,661,129,200,600,438,987,124,371,685,15,237,776,504,173,82,562,268,861,732,339,298,735,827,220,607,138,483,337,391,289,338,560,1032,108,763,967,411,477,349,449,358,242,206,434,1054,834,801,228,1065,766,554,502,555,1066,1042,530,29,164,320,663,1007,884,387,152,741,976,1084,627,615,43,179,158,786,248,1067,931,687,780,340,111,361,408,873,1067,252,484,474,1090,203,785,31,740,409,895,281,583,168,551,363,964,268,490,967,157,353,1054,611,119,708,483,501,46,804,1096,1088,298,579,588,1131,635,416,889,405,10,368,523,503,63,132,1034,209,1139,1113,1036,25,192,660,976,828,106,24,910,21,981,565,306,987,320,238,1130,184,1063,483,90,660,901,128,672,658,22,510,452,294,674,1160,441,451,777,741,913,1093,558,184,806,614,897,268,353,212,1043,561,375,811,650,1126,949,496,548,733,837,542,372,906,359,453,21,258,1169,559,468,557,633,185,312,644,1122,252,131,763,90,684,1148,210,1107,852,282,1016,949,834,1124,805,1058,304,291,239,383,1077,688,330,1195,716,245,922,381,1228,839,1038,1243,573,590,156,572,888,55,83,669,1092,1267,852,372,221,1063,1171,1248,416,529,385,305,930,627,106,951,1227,1040,311,1201,1174,789,1000,568,996,465,1278,180,1063,310,166,774,363,1177,190,34,719,128,234,679,464,400,270,701,54,198,289,1246,792,1253,910,324,121,31,358,1090,757,132,416,413,810,922,422,773,480,1204,1226,424,1262,755,560,798,374,1154,725,450,46,425,185,1184,816,959,1150,403,121,477,604,513,1340,1010,1219,856,384,1063,124,411,1226,1069,752,1158,836,878,700,1070,867,537,913,1252,56,20,56,196,568,282,311,821,11,313,310,108,728,1135,450,92,1315,352,90,1376,674,154,486,231,517,233,939,702,806,1252,320,541,1404,173}

Returns: 244790425
{0,1,1,3,0,3,3,3,5,1,6,2,4,5,5,13,5,14,13,3,20,20,2,3,3,22,19,17,28,16,10,22,18,13,23,6,34,10,27,15,1,25,15,36,29,7,34,15,21,32,31,23,50,10,27,24,14,38,53,48,54,6,54,34,35,50,6,17,49,53,19,7,12,67,5,10,37,66,78,7,49,12,62,70,60,49,81,37,77,44,33,84,46,66,2,88,62,11,25,26,62,98,94,91,32,21,80,86,87,28,76,77,44,40,1,87,18,21,13,90,98,29,57,108,54,29,34,32,3,77,20,126,34,58,30,83,116,130,32,78,57,46,17,105,46,97,89,140,73,129,67,62,114,72,37,46,0,67,40,34,142,6,149,113,117,139,162,118,11,141,3,3,75,15,90,35,132,54,97,167,165,92,76,75,72,163,26,68,179,61,178,133,168,131,87,67,153,26,62,53,194,173,56,132,130,153,11,178,12,121,89,1,156,4,44,79,205,81,198,111,75,112,123,146,83,217,18,135,158,216,119,192,141,112,133,11,57,155,69,159,75,21,192,186,197,20,10,194,153,52,54,27,227,82,214,145,2,44,197,251,130,175,33,87,112,168,143,34,262,149,168,114,123,71,208,226,234,189,197,110,29,69,56,64,175,62,151,202,157,181,213,177,49,142,227,201,220,127,272,62,9,66,62,211,104,161,59,29,166,141,136,122,37,51,203,238,216,260,168,133,5,172,104,78,159,158,118,64,254,315,192,135,67,39,25,282,128,181,110,50,116,57,23,197,7,332,274,0,138,235,309,9,22,308,260,158,292,209,335,202,234,256,1,269,347,254,272,94,363,240,289,278,64,290,120,224,279,3,254,71,154,230,46,288,129,204,158,64,121,388,246,216,378,108,311,91,48,32,132,168,110,23,129,169,137,82,84,195,138,101,108,187,50,369,346,304,189,166,323,2,161,61,219,314,268,163,119,295,276,116,70,336,199,35,388,275,110,151,269,262,58,44,407,296,97,17,71,226,69,144,253,338,337,229,141,120,105,71,193,119,252,222,258,94,325,458,232,288,86,110,64,136,69,436,154,41,172,170,33,318,294,417,410,61,118,35,242,161,308,93,41,128,241,226,132,394,294,480,193,239,153,58,305,459,504,205,148,96,338,301,451,331,442,157,497,319,123,475,320,54,221,134,469,134,293,490,406,187,426,33,378,313,140,64,423,189,431,215,175,95,504,67,272,531,292,488,234,340,208,384,225,495,224,327,493,524,163,392,347,555,529,169,66,35,390,511,249,391,206,280,371,71,80,81,434,348,109,274,190,443,516,532,171,172,223,330,62,464,436,506,297,96,385,74,453,542,288,127,445,225,519,110,190,472,357,579,513,15,228,218,481,89,161,284,446,581,482,607,265,584,26,162,29,259,109,586,535,313,5,534,504,498,452,595,607,278,196,29,55,404,464,490,329,459,277,415,336,602,386,327,390,285,205,140,302,27,541,553,580,407,145,53,421,180,380,227,176,140,564,229,431,466,65,543,363,215,223,174,151,450,257,583,86,151,60,340,651,306,73,403,196,199,593,243,58,341,163,430,631,291,361,657,678,51,699,604,653,65,136,189,541,198,386,84,681,530,673,312,118,350,670,383,548,242,539,454,314,358,721,614,685,183,191,697,113,221,410,580,306,723,39,392,524,406,381,212,689,461,735,358,507,136,265,670,374,748,425,105,703,551,709,59,607,420,167,262,487,633,509,459,388,563,710,545,629,610,446,287,164,546,478,736,218,616,28,651,106,745,710,19,423,432,407,470,187,658,652,559,789,79,379,693,220,558,256,56,615,273,764,577,667,275,339,535,788,774,307,502,166,97,91,450,344,56,433,374,708,253,229,97,380,231,63,284,680,684,210,57,729,253,57,560,192,817,552,518,591,26,464,846,474,351,688,361,125,617,431,26,436,136,241,478,382,456,124,514,621,85,115,235,823,732,406,512,708,208,352,588,830,731,474,879,169,388,848,305,588,745,699,396,15,20,476,142,308,252,746,1,548,645,63,401,658,815,123,581,569,355,715,583,602,50,206,259,4,192,702,698,499,225,268,748,672,61,571,176,223,649,791,61,64,463,359,560,632,414,595,525,116,563,263,779,761,599,161,662,424,483,532,718,943,872,637,413,96,783,492,361,417,760,303,44,382,488,811,908,174,169,947,138,707,609,228,535,253,946,510,695,65,869,31,868,898,448,767,404,820,510,811,740,936,336,489,676,703,777,257,558,343,463,458,473,990,983,876,782,438,331,311,78,764,917,815,571,897,503,760,161,69,929,345,261,175,539,234,752,842,519,421,914,706,489,827,239,449,633,628,226,705,889,969,169,639,780,745,920,858,926,743,183,685,285,228,134,151,543,778,471,661,417,887,249,608,855,490,817,10,701,69,154,485,1030,559,311,11,158,230,244,553,1029,751,591,126,342,295,733,104,678,776,462,1038,42,765,712,0,441,687,495,976,474,355,137,176,296,582,645,663,779,34,353,920,924,980,693,961,88,63,540,25,534,1084,449,912,593,156,169,956,871,1002,513,126,407,35,782,971,728,887,991,1108,355,1056,619,553,1019,424,770,568,875,488,267,579,471,1058,856,434,483,73,1097,910,825,925,136,924,29,723,239,852,1166,650,388,938,138,1139,901,825,41,192,911,523,1038,518,1016,938,1139,367,1010,125,584,615,378,939,166,857,1155,217,416,1104,704,1156,401,125,751,643,231,119,636,1134,120,46,566,1123,575,254,465,194,689,5,1170,783,460,947,243,440,367,282,1083,387,395,590,828,1189,874,289,1048,165,1227,604,674,870,1134,222,816,421,660,950,476,380,152,910,719,928,1058,823,555,535,668,1213,1146,343,316,660,1222,1130,434,626,805,629,1050,297,680,625,924,473,14,780,1198,1180,204,255,49,367,21,719,560,997,1128,171,893,217,1196,626,221,382,953,74,1135,659,547,267,1060,857,83,467,1241,585,648,400,548,285,224,78,228,621,734,494,652,904,885,694,161,366,801,183,1067,597,721,892,1129,120,347,766,420,148,325,803,95,790,72,65,1084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Returns: 535933802
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7,755,673,25,400,15,829,958,1081,268,1011,1220,484,771,1099,59,308,809,945,405,658,663,1085,748,872,561,1313,1256,1127,750,962,1035,777,753,696,1220,1001,727,114,289,351,1251,318,154,72,639,908,1093,707,496,609,419,334,806,81,689,171,34,1149,920,1323,1397,359,627,806,186,1403,1337,1003,609,471,468,210,659,121,1143,366,299,815,849,511,81,1072,677,652,601,825,1351,905,111,962,758,657,1322,514,1141,1398,1210,1328,1330,804,998,772,190,1050,1403,253,1043,1397,889,813,752,652,493,1126,1178,537,688,1365,784,242,990,824,1138,1124,315,636,752,424,233,801,630,873,353,482,95,324,155,51,479,276,1422,892}

Returns: 640663995
{0,0,2,2,0,4,4,7,5,2,9,5,10,0,12,13,9,12,5,19,6,19,15,21,0,0,22,3,19,16,10,6,30,14,26,21,24,31,12,21,15,30,12,23,26,42,9,23,41,43,33,9,18,19,23,47,6,15,18,3,37,60,7,54,59,13,9,13,26,22,26,70,35,24,60,74,28,73,39,62,15,72,21,46,68,70,70,74,33,16,39,47,60,22,91,40,19,93,96,93,98,15,3,99,23,55,36,38,3,97,79,43,2,63,100,51,98,20,69,60,33,30,76,48,59,99,24,67,21,124,43,84,89,73,27,20,46,17,2,87,51,5,22,135,80,103,139,6,138,24,21,30,110,148,36,130,37,119,148,16,66,89,91,109,84,84,7,17,149,57,68,128,29,110,88,40,77,23,114,135,34,81,15,87,180,118,186,93,34,95,125,151,147,158,168,73,126,19,77,10,197,133,105,22,41,48,181,198,149,101,160,140,107,121,121,65,123,177,10,148,124,102,177,64,88,17,113,32,8,166,210,102,192,38,39,221,187,115,160,27,230,127,19,103,165,180,110,2,151,149,158,45,121,104,155,242,199,135,183,110,239,174,223,142,85,81,188,257,267,152,46,141,21,222,258,170,193,17,110,59,248,105,3,166,78,237,80,54,18,68,30,263,35,208,235,42,162,54,257,89,132,54,155,278,167,205,115,307,303,156,174,140,205,232,104,32,209,86,9,277,219,79,314,134,96,248,87,154,101,134,193,171,141,32,202,236,244,315,281,186,147,333,27,253,79,248,187,159,266,348,319,52,69,125,246,292,323,325,16,70,87,283,36,45,204,156,17,344,205,346,104,161,5,368,21,285,110,226,243,78,99,154,330,62,95,132,151,281,207,28,276,69,189,294,173,132,99,263,220,161,388,12,202,15,347,242,226,366,400,276,376,187,353,278,38,90,406,339,373,353,125,370,284,64,419,86,337,32,153,300,229,129,300,213,202,147,131,66,218,198,392,83,341,364,186,374,403,239,373,225,80,148,169,383,23,256,320,217,127,60,145,193,324,270,247,211,377,362,231,76,147,438,204,436,456,146,254,126,149,390,11,89,317,353,67,143,2,354,250,216,51,242,113,429,69,161,388,244,145,64,488,414,437,494,444,181,346,485,189,48,27,167,365,451,318,506,210,185,469,161,168,298,196,76,357,214,434,434,475,114,26,408,23,18,15,45,441,153,311,452,60,290,14,186,186,239,111,465,42,308,317,228,109,392,30,175,417,449,536,9,357,135,402,536,235,404,544,381,558,189,248,273,511,410,433,423,107,576,233,435,373,406,159,450,311,552,329,135,155,35,543,253,156,331,517,350,309,189,281,548,246,465,11,402,289,562,346,533,377,79,544,308,576,372,351,124,607,138,510,332,213,422,507,280,374,305,241,243,217,302,204,563,308,454,583,264,222,208,622,430,111,51,344,599,64,443,10,18,465,463,100,561,365,558,333,32,399,114,328,275,656,55,620,530,596,180,542,307,356,31,198,56,376,52,58,293,49,373,555,340,391,678,654,563,170,156,486,366,142,585,406,194,26,8,392,601,303,112,112,339,33,232,656,60,176,350,666,619,699,301,239,90,124,41,704,431,544,648,670,298,188,246,328,512,624,720,719,159,565,411,599,319,678,228,253,513,694,607,655,411,592,126,289,307,555,691,510,443,657,442,669,91,360,245,283,396,93,208,580,278,682,689,358,693,696,347,106,465,489,469,587,153,3,564,475,616,18,745,441,363,494,422,276,27,367,205,261,367,81,416,773,596,713,551,321,83,147,775,81,338,237,356,56,147,28,398,366,49,748,687,397,365,351,755,53,592,151,359,489,269,571,547,819,554,684,572,760,578,433,829,780,813,520,724,169,504,248,307,289,438,85,400,569,827,752,489,736,499,760,386,416,190,26,520,304,591,418,752,826,838,88,226,842,362,402,405,310,51,145,801,434,159,776,301,257,278,23,307,116,380,826,325,373,198,723,424,181,397,208,239,137,462,201,325,245,17,17,605,833,373,408,42,804,19,546,236,870,834,112,96,632,803,472,648,121,688,513,793,858,242,470,821,81,564,333,339,420,10,353,421,563,682,686,277,127,635,764,7,773,903,575,5,385,207,603,423,869,854,52,575,192,47,79,950,813,770,562,344,886,572,56,358,194,337,626,629,546,408,359,97,465,657,627,188,313,57,477,689,20,194,495,957,950,708,76,334,190,665,203,482,28,336,222,457,431,992,874,359,860,543,834,255,332,15,1000,657,701,57,781,481,688,569,494,320,476,977,241,817,222,321,394,582,292,366,707,934,847,893,145,105,473,939,276,166,781,31,346,702,310,247,435,99,542,690,993,489,176,518,321,1049,495,174,116,15,652,606,106,599,728,477,331,1047,666,619,735,543,292,107,606,681,804,331,249,972,402,663,428,86,480,90,109,36,436,935,614,1021,889,232,261,609,629,416,948,395,411,1038,516,778,942,384,1072,244,930,413,569,262,802,230,643,429,295,1039,1095,606,623,889,942,24,632,1075,272}

Returns: 911907338
{0,0,2,1,1,5,5,3,4,7,3,3,10,0,14,0,8,2,1,18,12,21,0,11,7,14,23,17,9,28,25,29,18,9,25,31,27,22,13,3,35,12,38,42,0,5,7,43,40,31,0,47,16,11,9,3,31,44,38,34,31,49,27,42,19,24,38,3,35,33,45,13,18,39,6,9,67,12,72,11,54,73,68,66,77,80,36,57,47,45,18,17,37,22,52,31,51,28,41,99,40,8,16,65,15,55,50,47,48,7,24,71,67,40,81,51,61,32,102,46,26,105,104,44,39,21,71,101,91,119,114,53,38,40,8,40,77,80,11,77,26,0,17,120,6,133,96,116,85,89,58,89,69,137,122,90,4,128,72,34,9,1,153,161,139,142,81,1,130,28,104,106,142,168,17,53,57,53,159,163,46,76,155,34,148,154,89,52,60,128,85,64,39,57,82,97,11,54,37,196,87,179,194,70,117,126,177,86,55,164,106,191,199,81,18,209,93,74,37,72,67,98,131,134,75,93,98,103,120,154,19,226,211,30,74,45,39,226,61,147,50,20,205,69,9,96,103,79,230,157,21,1,106,214,100,189,31,205,17,126,164,242,27,162,119,138,98,212,65,106,126,69,227,101,89,160,31,8,33,179,262,112,177,108,209,34,40,12,138,98,280,95,182,13,189,28,137,125,272,190,173,28,257,243,129,126,292,112,208,263,136,61,244,279,176,63,148,217,8,91,317,168,226,40,2,136,94,0,18,247,291,31,50,267,262,21,98,67,299,161,196,89,183,22,1,244,102,53,107,3,253,147,123,341,245,140,169,316,66,143,308,352,67,244,218,9,216,356,188,352,339,240,325,67,3,341,99,362,157,70,176,372,369,154,169,158,72,180,376,60,148,176,362,163,389,376,194,176,215,23,349,358,161,240,91,257,226,178,385,181,397,331,372,233,154,187,363,305,242,66,100,29,321,268,3,55,51,291,409,95,119,230,309,364,298,386,21,112,262,374,196,207,276,419,392,396,44,315,264,268,145,5,369,34,378,130,217,190,288,410,277,443,230,426,342,10,175,60,73,140,0,128,122,155,327,290,302,332,169,388,298,450,18,281,57,256,139,314,367,418,73,196,328,352,415,330,214,150,349,244,86,21,477,168,153,206,27,5,390,211,222,509,12,188,415,299,220,188,172,68,107,227,71,209,157,304,185,206,104,111,156,122,521,272,497,39,93,247,221,139,213,19,234,430,54,70,426,126,429,404,289,217,165,238,78,286,449,324,158,447,74,275,440,464,150,511,298,404,465,275,567,96,532,327,327,224,444,192,507,214,139,414,418,280,551,83,560,126,297,340,48,275,342,242,465,120,312,190,520,303,215,257,500,204,583,507,370,58,606,551,62,452,497,56,587,465,242,368,444,137,461,446,283,405,367,104,612,374,260,430,167,24,219,338,57,288,115,183,525,612,614,493,72,67,250,639,375,173,536,48,369,103,140,346,120,234,388,522,232,80,41,319,389,480,573,279,407,307,517,634,454,519,81,412,565,271,330,318,6,611,545,109,221,505,368,29,75,668,245,583,336,244,426,259,33,566,303,23,24,190,61,500,451,394,122,32,255,429,282,285,342,427,407,586,147,706,523,378,680,162,332,297,626,645,503,93,120,347,510,74,233,552,602,709,674,277,164,28,326,227,121,150,503,326,539,35,635,95,639,200,26,212,599,86,78,188,528,372,251,717,249,212,641,153,240,440,587,337,21,626,561,376,655,473,298,587,133,596,192,67,134,408,326,395,319,68,195,708,251,450,638,159,409,389,661,25,382,118,703,773,672,642,271,433,709,197,677,274,548,734,222,474,1,245,293,558,759,624,217,205,690,485,140,542,155,824,532,613,50,473,680,761,669,210,442,800,781,89,435,123,677,465,726,708,403,96,343,742,102,47,733,283,435,491,655,204,229,228,598,620,405,653,119,117,59,58,151,736,413,244,688,447,218,676,252,618,538,470,504,185,452,438,669,415,522,440,158,480,432,155,20,718,732,116,422,706,690,833,680,706,444,223,18,877,287,407,813,235,23,270,121,529,291,880,324,480,805,384,903,474,348,843,205,648,695,270,718,775,472,764,818,404,412,295,274,558,497,654,766,643,247,770,610,22,500,594,102,543,697,239,421,99,285,206,843,905,808,536,918,877,242,810,815,680,491,647,875,489,729,50,248,203,437,396,297,814,727,837,541,802,237,511,360,65,870,897,62,225,929,447,963,59,358,967,972,506,68,176,509,142,106,245,612}

Returns: 875813322
{0,0,2,2,1,0,6,7,2,3,7,2,10,11,6,3,1,14,11,19,13,17,18,8,19,8,23,14,23,19,30,29,0,29,9,12,28,0,29,13,20,20,23,26,18,5,20,8,6,43,23,6,2,50,27,23,50,16,19,28,25,36,60,28,34,8,54,21,27,60,49,0,24,28,68,31,5,33,39,66,6,57,67,71,41,43,8,55,7,17,0,66,18,42,71,36,84,38,42,45,100,43,37,46,80,41,72,101,15,83,20,27,23,26,24,75,61,6,52,62,51,62,94,101,121,10,79,126,5,71,59,24,35,62,55,88,135,30,82,80,89,62,100,137,70,17,39,58,35,34,82,93,148,59,60,117,27,48,58,51,156,2,119,109,121,154,118,78,140,30,124,107,165,73,15,133,33,20,161,52,0,152,162,179,32,173,124,38,7,4,12,73,187,140,163,141,99,111,92,15,179,130,38,87,136,164,64,103,25,72,23,161,57,121,194,10,112,37,71,216,80,192,215,72,68,69,182,40,135,90,56,157,49,158,52,88,184,74,34,230,98,178,128,8,111,213,129,208,207,100,49,66,250,117,240,58,58,16,174,2,33,171,252,198,97,125,167,178,142,27,180,124,163,139,2,207,218,138,131,15,64,158,277,205,198,251,212,101,198,110,0,51,54,216,62,83,188,32,239,205,236,96,257,207,198,69,181,44,252,89,83,221,232,81,33,305,137,300,73,19,297,192,111,258,26,281,0,52,121,235,13,60,93,162,202,152,292,58,36,312,1,15,81,2,290,337,322,334,107,11,46,42,22,40,261,5,49,187,302,161,135,280,144,240,41,141,122,79,213,20,214,278,100,371,302,368,282,88,263,84,101,159,134,274,318,96,196,386,154,150,23,113,130,172,387,325,193,330,103,396,336,153,253,156,195,137,192,333,403,64,206,126,264,348,142,85,74,227,305,418,120,214,12,246,137,66,375,227,380,96,239,182,95,109,406,404,237,381,219,235,4,134,430,190,116,111,349,249,393,408,395,352,124,100,189,142,389,424,51,158,406,313,235,87,322,159,42,103,420,385,124,272,98,291,157,50,205,314,233,8,475,440,290,178,475,305,287,482,55,13,489,390,22,246,260,373,171,2,140,249,431,41,228,61,282,212,432,191,422,336,13,136,368,435,463,258,353,431,29,426,46,324,374,130,183,224,513,105,192,459,111,46,211,299,429,473,132,487,451,80,100,120,406,66,152,255,443,314,126,215,29,45,314,52,317,331,518,141,378,43,47,362,77,534,504,274,50,454,394,163,446,195,34,254,97,445,265,410,548,364,459,266,445,501,222,471,246,517,14,497,128,226,340,353,356,436,558,541,337,82,450,136,27,378,448,241,86,3,457,486,2,152,97,196,318,8,599,203,490,4,117,451,338,328,362,79,0,125,216,137,423,406,75,625,124,266,17,614,7,282,534,263,403,180,262,317,143,175,488,576,278,323,83,8,42,147,376,447,553,221,78,182,464,266,613,357,526,263,536,126,486,587,475,109,307,194,81,236,121,2,267,298,302,588,363,115,570,428,368,212,210,236,454,393,567,646,361,496,4,185,237,517,261,478,666,12,270,252,507,362,40,368,577,25,343,409,175,50,514,155,620,721,691,702,659,645,253,626,677,461,682,680,145,199,514,219,405,462,698,708,190,644,715,195,396,8,375,659,586,651,710,280,333,66,555,278,122,736,744,253,167,286,255,611,480,385,371,330,240,436,337,255,746,273,8,257,610,452,161,70,141,192,450,298,784,629,442,430,523,758,66,544,721,68,45,211,402,780,548,786,456,311,785,540,386,145,554,787,652,734,574,573,245,70,312,122,154,591,390,752,803,804,517,467,446,708,45,748,724,574,194,732,772,166,74,701,176,366,483,697,764,638,412,514,253,817,25,273,427,17,352,657,488,33,432,494,424,336,496,270,129,498,281,656,610,775,215,496,775,217,559,195,640,162,634,19,181,27,230,260,229,397,769,588,416,87,484,473,351,655,16,209,623,373,210,278,377,550,20,378,482,569,122,48,873,453,61,545,586,513,722,510,554,392,272,371,817,141,883,363,138,552,462,820,455,283,166,502,464,164,852,775,924,911,308,450,669,178,657,896,748,860,795,326,75,132,387,472,299,848,482,381,905,307,392,641,811,463,43,311,457,582,233,783,704,951,894,191,857,638,720,72,694,250,831,547,266,966,457,652,117,685,488,223,24,733,206,538,200,418,564,578,946,24,224,657,175,591,5,592,557,213,392,660,663,427,77,318,688,573,828,995,278,546,753,929,482,933,819,716,964,302,323,128,299,19,548,435,358,953,990,533,335,829,777,305,208,448,550,335,497,581,894,585,106,963,927,27,49,45,1041,434,402,219,512,726,63,688,882,127,193,1031,267,301,789,46,12,556,443,896,1001,574,850,571,838,230,537,889,503,420,588,293,538,126,257,400,383,175,459,208,860,894,253,231,754,282,351,792,70,35,345,870,351,627,966,962,599,977,821,905,39,470,1036,748,1016,266,68,366,282,658,506,211,68,356,962,924,47,618,474,1085,555,158,147,27,518,629,78,1101,595,871,317,414,729,119,811,1017,235,531,941,402,1140,6,743,783,1017,1088,362,25,287,1006,1080,919,543,391,45,243,392,445,33,384,239,296,248,0,1103,128,117,385,1113,933,1078,523,731,276,632,913,804,860,657,687,123,1190,578,724,209,476,625,404,1024,339,284,843,706,456,1092,1110,731,1056,1166,476,449,1044,132,1193,454,260,1191,720,576,710,914,866,1152,697,391,534,486,1158,809,725,229,591,72,661,1200,1071,992,141,1177,265,777,546,507,0,353,94,630,734,24,779,882,915,186,1150,904,649,1157,948,1056,377,565,301,449,841,799,203,689,712,1240,897,397,89,60,31,221,328,14,1271,975,1065,232,364,1271,1195,745,348,587,20,171,637,1193,1113,305,655,708,344,424,1285,595,500,18,1200,863,1138,1180,671,714,89,778,1289,421,399,1205,1108,305,1074,709,1261,595,1259,1229,852,464,86,961,585,1042,374,419,110,1286,468,666,869,186,34,1309,84,411,252,317,570,22,246,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Returns: 536581248
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Returns: 558340985
{0,0,1,1,3,5,1,5,2,6,0,3,1,10,0,4,0,17,6,18,10,17,21,8,10,0,18,4,24,27,23,8,15,24,19,29,23,25,12,38,28,13,3,24,13,39,10,40,6,27,31,14,42,40,19,0,6,10,23,2,9,41,19,53,36,61,25,17,30,32,36,56,68,46,38,52,40,6,69,32,21,6,34,73,50,50,63,70,63,8,72,18,10,84,67,57,17,32,4,42,3,35,4,27,80,101,7,38,48,15,76,50,63,27,80,37,55,28,49,105,56,92,96,40,123,69,73,125,26,121,37,7,10,19,107,40,25,21,64,70,134,57,80,41,109,68,81,101,78,97,25,89,122,97,119,29,102,41,110,39,42,82,66,140,32,72,112,102,157,56,21,161,163,154,58,170,129,2,129,86,26,122,155,151,32,31,182,163,183,171,166,34,165,62,51,22,128,102,45,165,190,118,53,106,80,90,55,47,157,3,90,31,156,172,48,146,97,192,34,81,26,42,112,51,0,131,136,8,35,193,82,166,227,104,49,213,36,155,93,31,215,135,107,208,113,157,80,234,167,233,103,200,237,128,162,36,171,205,72,174,94,148,203,47,2,102,119,159,259,18,106,163,111,269,255,65,4,249,71,119,221,76,12,86,39,163,132,252,216,233,16,101,215,96,238,171,226,125,232,119,101,214,1,33,98,191,13,307,82,112,204,138,31,54,31,194,57,169,212,3,156,64,306,176,200,313,71,47,76,119,284,101,74,315,60,179,249,40,36,101,192,31,58,162,179,282,85,284,307,315,108,130,214,118,71,299,313,181,350,141,273,322,169,5,36,223,280,113,295,322,216,335,363,58,41,352,160,237,323,273,157,152,284,320,241,257,311,59,239,2,98,268,210,193,245,284,268,60,382,113,351,317,25,398,294,181,117,307,58,233,219,172,399,232,30,70,325,411,360,282,186,299,209,348,90,106,87,361,137,399,257,317,143,58,391,385,168,279,91,363,106,410,438,189,114,249,299,26,214,108,312,10,309,262,247,158,95,293,153,285,9,269,248,189,350,421,389,244,74,197,156,160,441,310,455,261,299,425,216,422,345,130,422,175,193,113,237,313,445,253,133,487,422,382,218,151,170,152,261,80,411,77,38,307,315,472,436,139,191,97,88,465,128,371,165,260,356,439,161,46,428,180,376,51,258,498,368,517,514,345,510,312,459,147,488,259,267,189,536,275,227,429,453,484,200,68,29,121,145,123,359,195,334,104,39,373,39,541,389,511,249,1,360,196,47,296,380,0,184,178,348,214,107,63,270,422,149,246,167,266,484,151,540,570,469,316,565,414,420,287,475,571,186,47,306,469,192,214,300,163,217,47,148,459,42,462,148,191,361,350,453,448,489,317,339,323,573,586,74,529,389,287,168,499,205,243,105,553,368,49,538,579,392,79,531,342,505,441,141,344,606,306,33,330,421,241,0,244,570,37,375,402,595,54,105,46,196,27,4,67,331,73,53,640,526,558,219,71,275,46,68,600,431,273,253,636,143,603,446,623,646,7,292,678,54,182,62,181,645,490,655,304,233,131,327,339,38,302,192,671,57,169,637,423,386,675,518,335,191,229,579,387,705,308,475,20,419,37,95,207,334,690,677,498,134,428,688,563,258,228,113,217,60,295,609,333,457,390,534,726,612,257,227,169,537,727,90,92,563,240,66,132,685,413,618,668,410,220,511,488,734,546,133,46,258,578,164,595,435,581,561,33,176,551,712,464,10,740,388,495,187,21,515,508,483,584,509,766,613,729,673,154,721,586,96,760,651,274,340,448,612,298,643,177,716,407,443,440,466,226,35,344,170,688,301,272,67,299,606,33,241,791,587,234,567,242,660,217,64,461,306,93,343,759,617,353,228,263,732,410,53,709,124,511,634,234,301,791,121,480,722,460,554,815,247,447,258,755,681,429,801,724,261,720,378,102,650,845,178,192,635,660,760,803,238,584,811,583,307,121,780,2,282,636,72,393,815,50,308,666,12,546,294,448,19,451,459,614,317,465,666,127,200,576,660,245,64,368,875,376,183,303,634,434,678,587,846,173,441,738,393,69,319,598,585,409,370,702,66,868,31,222,482,444,409,78,167,617,260,594,165,527,150,496,906,339,759,191,235,42,499,847,280,646,309,953,285,303,720,775,422,164,729,507,465,221,549,957,842,783,632,651,791,884,809,276,796,605,311,883,808,853,237,601,512,721,621,785,342,730,399,552,900,798,358,305,731,249,737,901,600,228,322,766,526,990,340,932,973,864,380,940,241,270,997,409,630,19,433,836,1005,149,596,681,875,882,99,307,739,796,22,1022,768,650,890,439,171,335,268,503,227,990,815,445,233,355,200,78,181,441,1014,1030,771,322,615,400,859,59,901,973,1018,206,357,345,450,165,1059,738,638,251,42,677,797,817,353,674,281,887,416,1048,841,747,753,629,967,879,816,743,11,83,160,455,620,874,885,613,853,816,1022,108,1093,211,932,103,635,934,104,912,349,156,218,696,259,657,147,355,1002,401,536,853,1040,34,39,886,117,344,64,938,247,453,665,1052,253,1047,280,1076,1037,463,649,54,208,112,820,1037,879,73,450,979,379,587,102,3,682,324,75,341,645,510,1041,809,1067,185,200,342,220,939,526,820,965,44,255,836,820,595,197,375,157,330,1079,194,604,1165,40,1048,156,1073,1113,192,431,1033,778,1169,435,258,1031,807,189,634,894,656,70,1047,566,518,1184,24,569,687,169,988,391,23,632,1127,457,444,566,276,762,100,167,297,1030,602,784,624,188,914,822,415,22,1198,57,745,519,25,486,1096,56,179,381,719,935,230,1147,469,727,343,748,238,166,884,75,985,446,492,139,1012,746,255,491,1088,987,312,1137,245,1056,568,1089,71,444,1262,379,1148,617,859,1117,7,607,978,407,1076,91,984,942,411,510,112,241,318,531,799,970,119,450,726,972,1177,611,372,385,827,703,661,319,41,1066,1251,936,629,244,1268,122,828,51,1041,232,545,51,1157,581,1303,265,541,390,436,124,591,302,753,626,1063,1062,744,1221,426,780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Returns: 258362534
{0,1,1,0,2,3,5,3,4,1,1,6,3,7,12,6,13,6,11,0,7,6,8,11,16,25,8,16,9,27,15,11,18,10,21,13,15,31,27,2,0,22,18,2,1,36,26,2,46,14,38,40,25,47,33,7,56,29,49,35,40,15,35,17,4,32,54,49,18,39,45,45,44,39,5,61,42,23,27,28,0,55,33,62,40,16,86,66,64,8,17,10,92,53,78,8,64,0,70,72,94,76,100,11,38,83,55,10,60,109,6,75,71,79,80,71,40,75,110,93,43,76,38,105,57,26,6,25,51,3,47,13,63,28,28,117,47,94,109,114,57,88,29,104,100,45,27,134,129,45,58,39,138,83,130,106,37,81,108,76,76,63,18,20,72,45,129,154,116,48,153,140,6,94,143,90,63,17,174,84,147,77,130,25,76,129,78,142,187,172,152,168,134,41,120,82,183,151,101,138,11,6,39,158,52,109,164,74,160,7,107,100,191,191,38,139,7,58,134,12,202,117,121,213,166,107,217,47,17,162,122,183,27,233,103,44,6,31,169,127,161,203,12,135,72,77,128,164,73,105,202,13,50,230,189,125,126,167,253,2,45,188,147,239,169,219,72,228,66,70,38,146,161,211,217,193,101,156,171,116,213,22,191,188,61,1,5,133,150,87,29,264,125,163,47,50,16,131,34,83,210,44,14,139,255,5,279,153,39,85,289,277,153,138,132,87,125,8,6,88,75,207,87,16,242,151,326,113,122,11,118,24,256,293,41,145,254,257,22,275,182,216,168,316,38,259,114,90,180,245,342,92,274,183,102,59,78,147,334,220,111,3,68,192,102,151,188,173,187,185,283,113,228,236,3,100,231,324,122,206,319,255,163,121,213,322,304,297,109,167,203,202,252,65,208,242,368,153,224,70,317,208,301,148,24,9,0,123,223,87,386,43,147,384,142,248,243,52,21,245,179,342,280,307,184,329,400,64,183,127,382,53,92,398,121,299,207,335,304,369,353,335,43,272,263,86,298,225,116,226,27,103,336,249,307,17,41,335,80,2,429,339,129,1,242,248,111,44,225,324,197,111,456,112,174,286,93,269,250,443,251,133,187,176,395,186,326,409,7,343,123,157,267,69,227,179,147,75,127,375,312,2,173,189,108,461,159,64,316,113,263,143,471,39,358,296,387,343,253,110,401,318,295,397,97,165,188,387,431,124,259,313,83,483,174,490,466,88,374,355,286,500,287,420,362,404,112,306,428,467,475,22,149,230,549,325,3,370,343,264,549,214,344,102,530,153,110,151,504,228,451,523,27,108,428,515,104,489,18,155,147,331,78,249,537,311,435,142,211,17,137,314,0,125,557,349,74,352,464,539,17,123,368,15,51,154,70,339,184,27,463,327,11,13,376,168,181,99,213,207,307,544,556,355,443,270,411,134,423,509,378,79,205,309,344,583,447,446,45,573,109,546,63,485,339,226,300,99,35,126,165,321,161,390,197,72,90,266,656,659,163,388,141,42,139,496,211,661,399,93,213,553,366,199,125,325,658,418,462,57,313,104,294,543,192,295,51,516,417,561,215,402,183,120,84,333,61,234,11,182,47,192,21,126,597,364,407,188,183,227,10,43,147,29,615,54,390,323,536,61,300,126,478,59,487,694,2,216,143,62,696,557,105,377,556,517,712,513,555,374,241,21,731,328,419,664,448,478,34,518,61,107,358,593,607,503,88,116,389,258,426,221,218,571,760,106,426,5,489,108,71,250,83,516,691,481,550,770,41,166,680,648,361,199,658,752,507,169,472,264,339,507,384,667,264,651,184,454,475,327,77,755,696,25,285,494,553,61,90,295,748,31,787,637,598,25,582,197,223,590,617,489,776,588,314,429,26,487,373,238,702,658,735,60,513,258,275,55,826,301,6,180,429,468,371,447,173,600,655,265,377,382,178,609,533,669,124,385,802,479,305,194,504,751,125,189,765,406,750,562,59,9,605,379,414,386,44,657,677,620,13,796,342,156,817,569,239,750,418,443,272,152,56,151,868,101,126,111,516,561,647,719,302,808,763,72,315,160,273,439,350,175,757,215,496,337,543,885,67,437,561,369,826,562,500,601,318,541,579,850,415,370,468,667,747,595,146,665,432,479,343,111,322,582,624,856,921,240,568,586,414,453,384,611,731,176,515,254,539,255,510,905,113,866,200,517,555,657,46,908,607,767,960,605,675,332,476,574,264,870,479,30,623,884,626,843,561,723,935,80,459,658,3,563,772,696,498,199,261,611,285,834,573,363,604,223,729,839,207,759,639,259,194,795,256,803,520,398,311,918,765,89,879,479,710,604,51,1000,0,463,57,472,286,191,552,859,1000,537,1038,943,161,65,1039,598,952,623,907,529,110,690,286,254,782,177,987,909,896,568,497,664,529,812,1061,777,942,784,838,108,738,389,707,845,555,299,170,891,407,815,133,654,317,910,201,899,13,34,733,325,1067,234,319,442,994,867,52,854,843,468,659,606,141,656,623,489,424,784,993,167,907,559,625,604,315,553,469,764,611,396,978,366,228,487,200,1010,808,570,391,1070,818,963,1053,89,752,1017,954,138,377,1114,702,322,571,452,328,889,83,567,138,637,409,640,595,497,976,591,1137,281,747,182,610,401,577,5,826,927,625,958,420,377,66,452,959,587,233,86,1039,477,408,902,1014,1112,1055,1050,839,694,1137,503,588,1183,537,1155,333,1096,170,394,215,435,919,802,295,1005,23,1016,520,411,1060,60,848,873,4,273,359,610,833,622,44,868,911,461,336,643,852,737,228,243,119,960,614,283,703,451,1225,751,116,826,284,1094,607,24,760,508,975,141,748,1102,1072,136,604,772,1173,1001,236,1221,1233,440,733,777,264,232,242,1115,610,1045,118,1079,255,528,1057,103,668,150,315,935,1032,940,708,265,641,652,151,797,649,755,504,715,925,34,371,1043,217,1217,1116,753,664,1086,259,572,507,1016,437,474,1200,263,968,290,514,661,635,570,1131,706,199,568,1158,991,729,338,819,271,253,1249,96,1055,867,754,633,635,1129,150,953,332,331,852,719,1028,693,420,1204,1188,1131,1287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Returns: 58703983
{0,1,2,0,0,1,0,6,2,1,6,1,12,13,3,0,10,1,16,14,12,9,20,6,23,2,11,14,28,9,30,30,24,16,13,22,3,4,14,38,5,3,31,18,14,44,13,31,19,22,15,1,36,11,0,45,13,49,22,40,27,28,41,24,63,44,31,39,64,68,61,22,71,27,67,8,32,51,4,47,2,72,67,70,36,4,45,8,31,3,29,11,78,59,18,73,87,71,4,23,60,0,92,70,44,98,45,19,5,64,51,9,15,75,1,46,85,109,106,70,39,58,18,7,64,76,16,86,82,85,100,109,112,4,8,5,105,114,64,90,69,50,120,117,130,15,27,72,57,60,45,96,49,139,3,52,140,148,5,105,152,81,77,138,17,131,35,148,117,41,158,153,152,69,113,74,54,23,67,85,85,106,23,86,46,111,176,108,35,123,141,42,32,167,68,73,89,178,81,147,42,179,190,146,121,86,40,64,109,95,88,153,189,95,153,103,100,1,26,166,167,61,114,192,41,68,20,39,26,63,159,145,206,32,139,114,183,159,79,48,148,201,209,99,83,1,172,60,83,142,51,72,179,24,162,212,177,168,45,35,206,68,243,150,224,137,254,20,215,172,214,50,172,167,51,164,8,202,144,180,272,222,35,166,29,106,173,238,133,224,244,14,0,207,61,51,295,143,115,185,217,209,140,77,55,29,79,243,46,0,309,304,56,48,35,145,267,245,281,277,97,208,1,96,321,184,222,264,233,284,253,4,6,284,67,90,1,93,147,93,300,323,269,231,123,90,177,213,184,235,111,337,15,335,73,100,249,95,31,228,75,163,274,91,212,74,302,288,93,361,164,253,20,359,249,258,318,212,74,181,91,10,185,299,336,241,367,382,278,192,28,8,372,20,181,342,236,256,268,184,194,125,283,20,163,399,312,273,220,304,353,238,125,113,201,235,339,367,181,371,360,340,355,59,416,317,68,350,185,314,365,122,291,329,339,302,80,301,325,35,12,134,311,160,162,178,157,216,265,447,74,319,374,357,289,22,184,248,132,299,260,237,249,61,162,180,170,126,33,218,335,393,318,292,20,10,251,330,449,91,468,86,264,146,433,243,450,360,250,481,116,4,57,229,56,121,458,174,246,80,206,357,392,210,165,460,40,388,262,94,116,220,244,148,263,230,108,4,91,435,342,358,368,190,336,390,345,87,494,291,422,297,293,100,255,167,445,206,444,11,282,98,279,450,108,223,56,338,0,216,498,508,396,166,161,468,147,148,40,239,449,441,172,245,323,547,15,439,517,322,459,155,544,422,316,181,516,101,469,180,26,179,498,133,373,353,528,175,548,323,179,552,392,368,105,67,32,239,39,283,430,119,430,35,431,85,251,126,121,26,26,344,7,39,311,6,192,376,555,163,314,243,448,107,467,348,140,20,101,355,482,227,531,189,320,48,489,106,90,357,174,220,163,96,86,324,21,6,495,34,286,303,579,431,96,272,84,159,358,592,438,525,525,646,127,492,465,141,332,391,379,401,556,641,124,573,304,419,406,590,425,133,382,623,422,443,544,686,360,236,153,258,507,126,616,92,369,542,584,531,59,563,19,555,489,14,341,342,637,94,432,141,544,5,107,553,443,390,199,221,637,327,84,214,276,418,555,374,673,201,99,105,604,418,272,538,481,415,473,728,640,459,354,708,169,155,547,178,412,605,134,694,494,518,161,537,367,121,387,580,728,89,619,128,443,758,448,71,86,652,127,234,384,126,456,251,619,738,209,221,213,582,95,625,483,231,299,151,695,409,37,494,425,490,250,760,167,143,630,281,386,263,344,290,624,201,459,305,601,90,111,151,588,115,742,101,338,308,328,411,733,482,465,538,432,539,554,696,664,579,544,505,780,712,154,24,4,724,265,79,5,32,546,347,702,31,541,155,88,475,229,506,34,744,145,563,501,790,772,445,51,440,221,239,466,595,279,425,443,361,142,724,398,386,850,351,559,623,477,186,527,736,554,727,262,599,112,143,843,387,262,174,314,585,352,2,222,96,747,1,226,647,491,385,464,710,152,687,283,721,20,331,660,475,478,823,102,600,152,174,250,78,63,300,442,46,577,891,78,221,39,235,528,533,170,797,93,628,242,848,640,168,437,198,802,414,132,674,848,541,830,545,13,483,122,542,39,430,159,353,599,503,637,308,428,303,243,553,624,242,238,630,204,562,386,898,534,706,415,375,838,723,885,512,100,206,877,517,184,522,677,509,63,64,989,163,330,378,499,548,207,534,857,924,631,979,112,599,33,127,469,638,727,123,531,250,452,1005,979,913,611,832,342,278,860,832,941,425,453,832,608,607,306,362,200,195,496,849,813,174,549,1015,605,785,214,967,814,384,571,882,17,549,966,514,645,309,671,65,96,574,381,73,903,698,50,38,1040,2,164,674,42,607,679,602,344,733,325,719,407,74,4,826,69,853,810,876,833,610,960,201,960,717,780,370,720,588,312,1045,269,1050,1099,976,811,706,894,276,365,341,566,898,273,791,1044,335,603,150,1102,244,619,708,1046,326,895,158,177,9,1049,198,887,409,785,307,133,85,813,797,933,651,1081,550,991,757,322,207,377,512,521,892,14,505,119,771,65,332,78,578,313,325,28,223,105,716,789,400,158,1024,916,283,15,1023,17,95,229,1072,339,43,366,114,893,278,348,437,719,361,320,116,535,101,870,132,891,1104,362,690,178,873,798,433,508,82,197,627,103,1126,47,1094,166,451,749,991,525,497,833,1043,917,1147,373,293,1173,850,792,535,691,856,204,885,242,907,1138,1089,456,26,820,541,128,955,99,11,482,1230,986,767,551,249,249,1189,284,644,1192,675,502,266,1240,400,120,552,1203,501,1025,622,620,145,978,540,958,805,558,988,379,807,694,917,576,649,1207,1181,310,384,1066,74,1080,1083,655,213,643,919,1041,312,482,52,1234,1261,457,37,1028,1152,282,750,192,102,101,432,398,543,1219,2,150,1005,21,738,937,149,928,529,337,645,894,784,174,199,915,659,919,797,760,487,16,1277,382,79,829,827,78,508,144,989,116,706,1108,1114,724,296,1284,622,356,417,85,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Returns: 202016392
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Returns: 761169658
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Returns: 498120099
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Returns: 192297611
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Returns: 883513042
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Returns: 420554043
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Returns: 895729310
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Returns: 479265848
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Returns: 29605366
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Returns: 451002738
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Returns: 703492243
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Returns: 148315998
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Returns: 5232816
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Returns: 720156591
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Returns: 169597473
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Returns: 722736246
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Returns: 537529763
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Returns: 189351696
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Returns: 371205322
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Returns: 974086317
{0,1,0,2,4,5,2,7,2,4,9,2,11,10,11,0,5,5,9,0,4,19,4,17,23,11,11,24,22,24,24,11,28,26,33,19,33,26,36,35,38,38,29,26,30,43,32,27,43,32,35,35,33,48,49,45,55,53,53,43,60,56,56,62,54,60,53,60,55,68,58,65,66,69,64,66,66,74,61,78,69,68,81,66,66,81,70,79,73,84,83,86,90,80,91,83,91,95,94,95,95,98,101,87,91,87,96,95,103,108,110,103,109,109,112,113,100,104,109,112,114,105,105,107,104,121,110,122,114,111,116,113,127,128,131,115,128,130,136,121,133,141,138,125,142,137,127,144,135,136,132,151,143,150,147,135,142,142,156,146,147,152,158,152,158,153,163,153,150,162,151,155,167,170,156,173,167,175,158,165,177,178,168,180,179,182,186,184,187,180,184,172,188,184,194,175,190,197,195,197,182,194,182,196,184,195,205,201,201,204,195,210,202,203,205,200,215,205,203,215,213,220,209,209,221,224,219,220,217,223,219,222,216,233,228,232,224,228,236,233,240,237,229,233,239,245,233,247,248,239,249,243,244,233,239,248,240,245,242,240,241,246,249,256,255,255,260,249,265,251,265,269,261,256,269,268,261,266,270,270,273,265,282,279,267,279,285,280,276,273,288,276,276,288,283,277,290,281,298,290,294,299,284,291,291,294,303,298,292,295,305,302,294,302,314,306,309,304,309,303,309,313,312,303,308,312,318,321,314,315,312,321,314,329,326,323,336,330,325,333,333,322,330,326,330,335,344,340,348,341,333,343,346,340,353,349,347,344,353,353,356,361,354,343,357,346,357,362,357,367,366,366,360,367,374,364,373,361,377,364,363,369,380,369,370,371,368,373,387,376,370,386,377,385,384,385,379,388,395,396,393,398,398,394,402,398,406,400,389,401,390,395,397,412,407,407,416,401,407,410,420,409,415,414,408,406,416,417,413,411,425,414,425,424,434,419,434,429,421,436,435,435,428,441,428,435,433,440,433,441,434,443,445,449,452,437,449,443,439,442,457,452,460,454,460,445,462,454,454,457,466,459,456,455,471,464,465,473,465,472,469,469,471,482,474,477,469,480,484,488,476,488,480,476,475,482,487,496,489,490,492,498,495,494,501,487,504,495,494,506,502,497,509,509,507,510,497,516,507,511,520,501,511,519,506,524,523,522,510,510,512,522,529,527,525,531,522,524,526,522,537,523,525,527,539,543,536,527,546,531,547,537,535,549,534,536,549,553,541,546,549,558,555,554,545,564,555,561,557,556,555,568,553,553,566,565,559,559,563,573,574,573,573,574,564,573,583,569,582,574,570,591,581,585,592,579,588,583,584,584,592,593,586,603,600,592,589,605,597,590,607,596,608,601,601,598,601,607,617,606,600,606,609,608,609,624,615,612,617,624,612,623,615,620,632,632,636,631,634,623,637,641,622,623,629,633,640,627,631,641,643,646,646,638,639,648,650,655,638,643,641,660,646,655,656,664,651,662,658,665,666,665,655,653,664,673,667,661,677,669,668,666,682,672,667,680,670,670,670,678,686,677,686,688,690,694,684,687,691,685,695,683,699,689,689,693,705,700,700,691,698,693,707,713,700,703,700,706,715,704,719,716,703,710,724,706,713,711,720,712,725,731,714,715,715,729,730,735,731,725,723,721,741,742,740,743,742,728,742,732,732,741,747,747,749,744,751,739,743,751,741,760,747,763,746,749,761,764,763,769,765,760,752,753,767,764,757,757,775,761,764,773,775,777,782,783,774,786,773,784,770,788,788,788,781,775,794,778,788,784,797,794,789,800,789,785,799,795,805,793,797,792,792,794,808,806,816,803,802,814,815,806,804,804,814,824,808,815,818,816,820,818,817,827,817,823,829,832,821,819,823,830,834,835,828,830,829,847,835,848,844,843,843,841,836,846,852,840,847,846,850,847,859,843,863,847,856,856,848,853,854,871,871,868,874,864,863,866,863,875,872,880,862,872,876,876,883,872,880,889,889,884,886,886,891,877,885,888,894,893,888,893,889,891,887,893,886,903,906,899,890,899,910,912,901,914,905,904,898,908,915,918,908,920,924,915,924,915,909,928,930,919,924,930,924,925,920,925,938,926,926,921,938,929,939,933,930,929,938,935,941,950,942,948,943,939,936,940,946,941,942,945,958,955,961,959,957,957,961,953,965,953,956,957,969,969,975,968,964,977,961,978,963,978,970,971,977,977,972,976,976,972,980,979,991,986,986,997,984,986,990,999,994,995,991,1003,1004,990,1006,993,998,1003,1000,995,995,1009,997,1015,1013,1004,1005,1002,1014,1016,1019,1013,1014,1020,1025,1017,1011,1021,1018,1022,1034,1033,1030,1020,1029,1020,1032,1026,1035,1040,1035,1028,1041,1033,1034,1029,1044,1046,1050,1045,1041,1042,1050,1041,1051,1039,1060,1042,1062,1045,1061,1048,1063,1065,1048,1058,1069,1059,1053,1061,1068,1070,1060,1059,1078,1064,1061,1066,1071,1075,1067,1072,1073,1085,1071,1089,1085,1074,1087,1080,1076,1093,1095,1093,1097,1088,1087,1098,1098,1088,1095,1099,1101,1100,1101,1100,1106,1100,1107,1103,1100,1099,1105,1107,1118,1106,1113,1102,1122,1115,1119,1111,1114,1116,1122,1124,1117,1131,1117,1120,1132,1130,1120,1117,1123,1128,1134,1124,1130,1135,1130,1141,1143,1127,1132,1129,1133,1148,1152,1147,1148,1155,1138,1144,1150,1157,1155,1161,1150,1159,1162,1158,1156,1164,1149,1168,1152,1164,1172,1171,1166,1170,1163,1172,1173,1167,1175,1163,1177,1178,1176,1179,1184,1172,1169,1177,1190,1183,1175,1181,1176,1188,1187,1178,1197,1192,1181,1195,1193,1188,1187,1200,1188,1188,1208,1209,1198,1204,1212,1197,1206,1197,1201,1214,1209,1201,1204,1210,1220,1206,1216,1208,1215,1220,1217,1214,1225,1214,1212,1223,1233,1231,1218,1226,1223,1227,1237,1227,1239,1236,1235,1237,1240,1243,1237,1237,1240,1251,1234,1250,1252,1235,1237,1244,1245,1240,1240,1254,1254,1258,1259,1260,1262,1267,1265,1262,1257,1257,1255,1254,1260,1262,1256,1269,1259,1259,1263,1275,1270,1283,1277,1278,1280,1269,1274,1278,1279,1271,1273,1279,1287,1279,1291,1291,1297,1285,1288,1290,1300,1298,1299,1305,1290,1301,1296,1296,1302,1291,1304,1312,1298,1296,1297,1313,1315,1315,1301,1310,1303,1315,1324,1323,1313,1318,1322,1315,1324,1322,1332,1321,1325,1331,1331,1336,1333,1337,1339,1332,1339,1325,1336,1333,1328,1340,1343,1348,1346,1346,1340,1336,1342,1340,1344,1337,1347,1339,1345,1347,1359,1347,1348,1349,1356,1360,1367,1361,1354,1362,1353,1373,1357,1368,1358,1374,1370,1370,1363,1367,1382,1377,1373,1368,1385,1387,1379,1370,1376,1387,1381,1376,1378,1393,1396,1390,1398,1398,1398,1398,1400,1384,1398,1401,1400,1387,1395,1398,1390,1397,1411,1408,1397,1405,1414,1414,1413,1414,1404,1410,1410,1413,1422,1409,1413,1424,1416,1422,1420,1412,1419,1431,1427,1416,1418,1418,1438,1420,1440,1434,1428,1431,1440,1436,1443,1440,1444,1430,1448,1438,1447,1452,1447,1451,1436,1448,1438,1446,1451,1447,1454,1449,1448,1464,1451,1461,1449,1465,1456,1471,1470,1464,1470,1473,1456,1459,1477,1466,1473,1464,1479,1478,1472,1470,1474,1467,1477,1483,1475,1491,1486,1491,1476,1480,1492,1494,1481,1496,1486,1481,1496,1490,1486,1490,1504,1494,1505,1509,1499,1503,1492,1505,1505,1506,1506,1503,1513,1506,1512,1514,1517,1518,1522,1520,1516,1510,1518,1526,1523,1515,1528,1527,1520,1524,1533,1524,1519,1537,1535,1538,1535,1524,1542,1545,1534,1541,1533,1529,1550,1535,1543,1535,1539,1543,1556,1543,1556,1554,1547,1553,1555,1556,1562,1561,1555,1565,1564,1562,1564,1562,1557,1561,1568,1565,1573,1564,1569,1577,1566,1578,1574,1565,1571,1576,1567,1573,1586,1575,1577,1588,1573,1581,1587,1579,1590,1587,1579,1594,1592,1594,1602,1596,1587,1600,1596,1587,1600,1608,1593,1602,1599,1603,1608,1610,1603,1606,1609,1619,1613,1603,1617,1614,1611,1617,1614,1609,1619,1625,1630,1629,1616,1625,1625,1633,1618,1621,1629,1626,1627,1630,1641,1633,1627,1644,1629,1634,1642,1631,1650,1633,1638,1646,1648,1635,1651,1641,1644,1654,1653,1650,1655,1651,1644,1655,1649,1654,1657,1658,1665,1669,1665,1672,1657,1668,1660,1669,1668,1677,1676,1679,1675,1671,1678,1677,1672,1677,1686,1672,1682,1681,1677,1686,1683,1678,1677,1687,1696,1690,1687,1694,1701,1700,1691,1686,1704,1698,1690,1695,1690,1709,1707,1705,1696,1701,1714,1705,1718,1706,1706,1701,1721,1722,1723,1723,1712,1717,1714,1725,1710,1717,1712,1715,1718,1716,1734,1729,1735,1735,1734,1725,1741,1731,1730,1739,1743,1745,1734,1734,1731,1743,1732,1743,1734,1750,1745,1747,1748,1746,1743,1758,1746,1748,1764,1753,1759,1749,1761,1757,1766,1752,1754,1754,1774,1760,1763,1766,1760,1761,1768,1775,1765,1767,1764,1777,1778,1780,1785,1781,1774,1781,1792,1781,1785,1775,1789,1790,1788,1794,1792,1797,1785,1792,1787,1802,1788,1803,1793,1807,1797,1808,1809,1794,1795,1810,1807,1810,1806,1817,1805,1812,1817,1822,1806,1816,1809,1827,1815,1823,1818,1830,1830,1832,1824,1818,1821,1829,1820,1829,1825,1836,1823,1823,1827,1840,1845,1833,1832,1849,1849,1845,1844,1840,1846,1838,1851,1852,1847,1848,1846,1853,1842,1850,1856,1849,1849,1865,1854,1862,1859,1861,1853,1856,1855,1875,1869,1869,1859,1868,1862,1879,1863,1869,1868,1877,1884,1868,1879,1886,1884,1886,1883,1876,1894,1894,1882,1895,1895,1899,1886,1886,1888,1898,1897,1903,1902,1906,1907,1901,1901,1895,1896,1911,1906,1897,1902,1909,1909,1905,1919,1914,1903,1906,1916,1922,1923,1918,1915,1922,1923,1924,1930,1928,1921,1916,1916,1937,1924,1922,1932,1931,1931,1932,1941,1942,1945,1937,1930,1934,1942,1951,1940,1940,1943,1951,1953,1946,1956,1944,1953,1950,1954,1953,1955,1956,1960,1966,1958,1951,1959,1966,1952,1956,1969,1975,1970,1964,1963,1976,1968,1963,1982,1976,1984,1977,1969,1975,1970,1979,1983,1988,1974,1989,1986,1975,1983,1982,1988}

Returns: 574766921
{0,1,0,0,4,5,3,1,6,4,4,3,5}

Returns: 2
{0,1,0,2,1,0,1,4,2,9,3,7,7,13,0}

Returns: 26
{0,0,2,0,3,4,3,1,0}

Returns: 0
{0,1,2,3}

Returns: 0
{0,1,1,3,4}

Returns: 0
{0,0,1,2,2,5}

Returns: 0
{0,1,1,0,0,2,3,5,7}

Returns: 0
{0,1,1,3,3,1,0,7,7,0,8,3,11,1,10,10,15,0,14}

Returns: 15
{0}

Returns: 0
{0,0,1,2,3,5,1,7,5,5,8,4,8,0}

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

Returns: 0
{0,1,2,3,2,0}

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

Returns: 0
{0,1,2,3,4,5,3,4,3,9,8,2,12,4}

Returns: 48
{0,1,2,1,2,1,5,3,1,6,4,2}

Returns: 64
{0,0,2,3,1,0,2,0,8,6,3,6,8}

Returns: 0
{0,0,2,0,1,3,6,0,6,2,0}

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

Returns: 0
{0,1,0,0,0,4,1,5,6,9,1,7,1,9,6}

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

Returns: 3
{0,0,1}

Returns: 0
{0,0,2}

Returns: 0
{0,1,1}

Returns: 0
{0}

Returns: 0
{0,0,0,1,3,5}

Returns: 0
{0,1,1}

Returns: 0
{0,1,1,1,2,2}

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

Returns: 0
{0,1,2,1,0,0}

Returns: 0
{0}

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

Returns: 115145975
{0,1,0,3,1,1,1,2,1,0,3,4,3,4,2,3,0,0,0,0,3,4,3,1,2,4,2,3,1,0,3,4,4,2,4,4,2,0,3,2,4,4,3,0,4,2,0,1,0,0,3,4,3,2,2,3,1,1,2,2,1,2,4,2,4,2,3,1,4,0,4,0,1,3,3,1,0,4,4,2,1,3,0,2,4,0,0,2,2,3,4,3,1,2,1,0,0,2,4,2,0,2,0,0,2,3,0,3,1,0,4,1,0,1,2,2,4,3,1,4,1,1,1,0,4,4,2,3,0,1,0,0,3,3,3,1,4,4,4,2,1,1,3,4,1,3,4,2,1,2,4,2,3,4,1,4,3,0,3,2,1,0,1,3,3,4,2,2,1,4,4,3,3,4,2,3,1,1,1,3,1,2,2,1,3,1,2,2,2,1,3,1,0,1,3,0,1,2,0,0,4,4,1,1,1,0,2,1,4,0,2,0,0,0,0,3,2,4,3,2,2,0,2,4,1,3,1,0,4,4,2,1,2,3,2,2,2,3,3,3,2,2,4,4,1,1,2,4,0,3,1,0,0,3,1,0,1,1,2,3,2,1,1,2,1,1,4,0,2,2,4,0,3,4,1,4,1,4,1,2,1,0,0,1,2,1,3,1,1,1,3,0,4,0,0,0,0,3,1,0,0,2,4,0,0,1,3,4,0,2,3,4,0,3,1,4,0,4,1,4,1,4,4,2,0,1,1,4,2,0,4,1,1,1,1,2,3,4,2,2,3,4,3,4,4,3,0,0,4,1,2,2,1,2,3,3,4,1,4,4,4,3,4,1,3,4,0,4,2,0,4,2,2,3,4,0,1,1,0,0,0,3,1,3,4,0,2,0,2,3,4,3,4,0,3,0,4,1,2,2,4,3,2,0,2,3,4,0,2,1,3,1,2,0,2,1,3,2,0,3,0,4,4,1,2,4,3,3,1,0,2,0,4,3,2,1,0,1,1,4,2,3,3,4,0,1,0,2,3,0,4,0,0,1,0,2,2,0,2,4,2,4,2,0,1,2,2,4,3,3,3,1,0,1,1,4,2,1,1,1,1,0,1,0,0,0,1,1,4,4,4,1,3,3,1,2,3,0,0,3,2,4,1,2,1,0,2,2,1,3,3,3,3,1,1,3,1,4,4,4,1,0,2,2,2,2,0,3,2,4,1,3,4,2,4,0,0,1,0,4,4,1,1,1,2,4,3,2,1,4,1,1,3,3,0,0,0,2,1,1,3,3,1,3,1,3,0,0,2,2,3,3,0,0,2,4,1,3,1,1,0,1,3,4,4,3,3,4,2,4,2,4,3,0,2,2,2,0,0,4,0,1,3,2,4,2,2,1,3,4,1,4,3,3,0,4,4,4,4,1,2,4,1,1,1,4,4,3,1,4,4,0,1,2,1,3,0,0,1,0,2,2,1,3,2,2,0,3,2,0,1,3,3,1,0,1,4,3,4,0,3,1,4,4,4,3,1,3,2,2,2,3,4,1,1,4,4,1,1,1,0,3,1,0,3,4,2,4,1,0,2,1,1,4,0,0,1,0,1,1,4,4,1,3,0,1,1,2,3,3,3,0,1,3,1,2,1,4,2,0,4,1,3,0,1,2,0,2,2,1,0,1,1,0,4,3,4,2,4,3,0,3,2,1,0,2,3,0,0,0,2,1,2,0,4,4,3,0,3,1,4,1,2,4,4,2,4,3,0,3,1,3,0,2,1,0,0,4,0,3,3,3,2,4,3,3,4,4,1,0,0,2,1,4,2,2,3,2,4,4,2,3,2,2,2,1,1,1,4,1,0,3,0,1,2,1,1,0,4,2,3,1,3,3,4,2,2,4,2,0,4,1,1,4,3,2,2,3,4,4,4,4,0,0,3,0,3,3,4,3,2,1,0,1,4,4,3,2,0,4,3,1,1,4,3,0,4,1,3,3,0,2,1,2,1,1,0,4,3,2,1,3,1,3,3,2,0,2,0,3,4,0,2,2,2,0,2,4,3,0,0,4,2,0,4,4,3,3,3,4,3,2,4,0,3,0,2,1,1,0,0,1,1,4,1,4,3,3,2,4,3,4,2,0,1,3,2,4,4,2,1,0,0,2,0,4,2,4,2,4,4,4,3,3,3,3,3,0,2,4,0,3,4,3,2,3,2,3,2,3,1,4,1,3,1,1,2,1,4,1,0,3,1,0,1,0,0,0,3,3,3,4,3,1,3,1,2,1,0,4,1,0,3,4,0,3,1,4,4,4,2,1,0,4,1,3,0,0,1,3,2,3,3,1,3,1,1,1,3,4,1,1,4,3,4,3,0,3,0,0,2,4,1,0,1,2,4,0,0,3,3,4,2,2,1,2,2,2,0,3,3,1,1,3,2,0,2,2,0,3,3,3,3,1,4,1,0,3,0,0,4,0,1,2,0,3,0,4,3,2,2,4,0,4,0,1,2,3,0,0,4,2,2,4,2,2,4,3,4,0,3,2,1,0,3,0,3,0,0,1,0,4,2,0,4,2,4,1,4,1,3,1,3,2,2,3,2,2,3,0,2,1,3,4,2,1,1,2,0,3,0,2,0,1,2,3,1,2,4,3,0,2,0,3,0,0,1,0,1,3,1,4,0,4,2,4,4,2,1,2,2,1,1,1,1,3,2,0,2,3,3,1,2,1,4,4,1,1,3,3,4,4,3,1,3,4,2,2,1,1,4,1,3,3,0,2,2,0,2,0,4,0,0,4,3,4,2,4,1,3,3,3,0,0,2,4,1,3,2,3,2,0,3,3,4,0,0,1,3,2,0,1,1,0,0,3,2,4,2,4,1,0,1,0,3,1,4,1,3,4,3,0,4,0,0,1,1,4,4,0,1,2,2,4,4,3,4,1,3,0,1,2,0,4,3,2,0,4,0,0,4,2,3,4,4,2,3,0,3,2,1,0,0,3,2,0,4,1,4,0,2,4,0,0,1,1,0,0,1,2,2,1,3,3,3,4,4,1,1,4,4,0,0,4,4,4,1,2,2,3,1,1,3,2,3,0,1,1,1,0,3,1,2,4,3,4,0,4,4,2,2,2,2,4,1,2,2,1,0,0,1,3,1,4,3,3,3,4,1,2,2,2,3,4,1,4,4,0,2,4,1,3,2,2,2,3,0,2,1,2,3,0,2,0,4,3,0,0,2,1,2,1,1,0,3,1,3,0,1,2,3,4,3,0,2,1,0,3,1,3,3,1,4,3,4,4,2,3,2,0,2,1,1,3,2,0,2,1,1,4,1,4,2,4,2,0,3,3,3,2,4,4,1,2,1,4,2,2,3,3,3,4,2,4,1,2,1,4,4,3,3,3,0,3,3,3,1,3,3,2,4,3,4,4,0,4,3,1,0,2,4,3,0,4,0,0,3,0,4,1,0,0,4,3,0,2,2,0,1,0,3,0,3,4,0,1,2,4,2,3,2,3,4,4,4,3,1,1,2,1,4,4,4,3,1,4,4,4,3,1,0,1,1,0,1,3,1,3,1,2,1,4,0,3,1,4,3,0,3,4,2,1,4,0,1,0,1,3,1,1,0,4,3,1,3,2,3,4,2,3,2,2,3,3,0,0,4,1,3,1,0,4,1,1,3,1,1,2,1,4,3,2,2,0,0,1,4,1,1,3,1,1,0,1,3,1,4,0,2,0,2,0,0,3,2,4,3,4,1,3,0,4,1,1,4,1,4,1,4,4,3,0,2,0,1,0,4,0,4,3,0,4,4,3,4,0,1,3,3,0,2,1,0,2,0,4,4,1,1,0,0,4,1,3,2,0,1,2,2,3,3,4,2,1,4,2,1,2,2,1,4,3,0,2,4,4,1,4,3,4,4,0,3,1,0,2,4,2,3,4,2,1,2,0,4,3,2,1,1,0,1,0,1,1,2,3,0,0,4,0,2,2,1,3,1,2,2,2,4,0,1,3,2,3,1,4,1,4,3,0,3,4,4,3,4,3,4,0,0,4,2,0,4,2,4,4,3,0,0,0,2,0,4,1,1,0,1,2,4,3,4,2,3,0,0,4,3,1,4,4,1,4,4,0,1,1,1,1,0,3,2,1,3,1,3,2,3,0,1,2,1,2,1,3,1,0,0,1,0,4,1,4,1,3,0,0,2,1,3,1,1,4,3,3,0,3,3,3,1,1,3,4,4,0,3,2,4,1,0,1,1,0,2,2,0,0,2,0,4,3,4,1,1,0,1,1,1,3,4,0,3,1,3,1,0,4,2,4,1,0,0,1,0,0,2,4,3,2,1,2,3,0,2,3,4,1,3,0,4,0,0,2,3,1,1,3,3,2,4,4,4,0,0,3,2,2,3,2,2,4,3,3,2,1,4,3,4,0,3,1,0,2,0,1,4,0,2,2,4,4,3,2,1,1,1,2,3,0,0,0,0,2,2,0,4,0,0,1,0,2,0,3,4,1,3,0,4,1,1,0,4,3,2,2,0,2,1,2,4}

Returns: 731920821
{0,0,0,3,2,4,4,4,2,4,0,3,4,1,0,4,2,4,2,1,0,1,0,0,2,4,1,2,2,0,4,0,2,2,3,0,3,2,1,2,2,4,1,3,1,1,3,1,4,3,2,2,2,1,1,3,1,0,4,2,3,1,1,2,3,2,4,1,3,1,2,3,4,2,4,2,0,4,1,2,1,4,4,0,2,3,2,2,4,2,2,3,1,4,4,4,2,3,0,1,2,0,1,3,2,4,2,1,0,1,1,1,0,0,1,4,3,3,0,1,4,2,2,2,3,0,1,0,1,4,4,4,4,3,4,1,2,2,1,0,3,3,4,0,0,2,0,0,3,3,4,2,1,0,3,4,1,1,3,2,1,3,0,4,0,2,0,3,2,4,2,4,2,3,0,2,4,0,0,0,3,0,4,2,4,2,3,1,0,1,2,2,3,4,0,0,3,0,0,4,4,4,4,4,2,3,1,4,1,1,4,0,1,0,1,4,3,0,2,4,2,4,0,4,3,0,2,0,2,4,2,4,4,4,3,1,0,3,2,1,2,3,4,2,0,1,2,2,1,4,1,3,2,1,4,3,4,1,2,3,4,1,1,0,2,1,4,2,1,0,1,3,1,3,1,3,4,0,1,2,4,1,3,1,3,3,1,2,1,0,2,4,3,1,4,1,4,1,3,2,2,2,3,0,2,0,3,4,3,2,1,2,3,1,2,4,0,2,0,3,0,3,0,0,1,4,4,0,3,0,1,1,3,1,4,4,4,4,4,3,1,1,0,1,1,3,0,4,0,3,0,1,1,4,0,0,1,1,1,1,3,1,1,1,4,1,1,0,0,2,4,2,1,4,2,1,2,3,0,0,0,1,3,2,4,1,2,3,2,2,2,3,1,4,0,0,0,1,1,3,2,0,4,2,0,3,4,1,3,0,4,2,3,2,0,1,1,2,4,3,4,1,1,3,0,0,0,2,4,2,1,3,0,1,3,1,3,3,4,3,0,4,3,4,4,0,0,2,3,0,4,1,0,1,3,1,4,1,4,3,4,0,0,0,0,1,3,4,2,0,1,2,2,2,0,1,1,4,1,3,1,1,4,2,0,0,1,3,3,3,2,3,3,3,0,2,3,2,3,0,2,3,1,4,2,3,0,0,4,4,1,1,2,4,2,0,2,3,1,4,4,0,4,3,4,4,1,2,0,2,0,4,0,3,0,3,1,1,3,4,4,1,4,4,1,0,2,4,1,2,0,4,0,2,2,3,2,4,2,1,4,1,2,4,1,1,4,0,2,0,0,0,4,2,1,2,3,4,3,1,2,0,3,1,3,0,2,0,2,1,2,0,0,3,0,2,3,4,1,3,0,3,0,2,3,3,4,1,0,0,3,1,3,4,4,1,0,1,3,3,0,1,4,4,0,1,3,4,3,2,1,1,3,3,3,3,2,4,1,2,2,4,1,4,3,1,0,3,0,1,4,0,1,0,1,2,4,2,0,0,3,1,2,2,3,3,4,0,1,1,0,4,3,4,4,2,4,4,2,0,1,1,0,2,0,4,4,3,3,0,1,4,0,3,4,1,3,3,4,2,0,0,4,3,2,4,1,0,4,0,4,0,1,2,2,2,3,2,2,4,3,3,4,3,3,0,4,1,1,1,0,3,3,1,4,2,0,2,3,3,4,3,0,3,1,0,4,2,3,3,3,4,3,2,3,0,1,0,4,3,2,4,2,2,3,4,1,1,3,3,0,4,0,3,4,4,1,1,3,4,1,4,1,0,3,4,0,2,2,0,4,3,0,1,1,4,2,3,4,3,4,0,4,3,3,4,3,0,0,4,0,1,3,2,3,0,2,1,2,1,0,2,4,1,3,2,3,2,3,1,0,4,4,0,3,0,3,4,1,1,4,3,3,4,3,1,4,1,1,2,0,4,0,3,3,0,4,3,3,1,0,4,2,4,3,0,4,2,4,2,3,3,2,3,2,0,0,4,2,3,2,0,3,3,2,4,2,3,3,1,2,0,0,2,1,0,0,2,3,3,2,2,2,1,4,3,1,2,2,1,4,3,4,0,1,1,0,4,1,0,3,4,1,0,2,3,1,0,3,1,0,2,3,4,0,3,3,0,0,2,1,4,2,2,1,4,2,1,4,3,2,3,4,1,2,4,3,1,0,0,3,3,3,1,1,2,0,0,4,3,2,3,4,4,4,1,2,4,3,0,2,2,0,4,4,4,0,4,1,4,4,1,4,4,2,2,0,1,4,2,2,4,4,3,0,0,0,0,3,3,2,4,3,0,0,2,3,2,2,1,3,1,3,3,1,3,1,3,3,4,3,1,2,0,2,2,3,4,3,2,3,3,3,3,4,3,4,2,1,3,4,1,0,4,3,3,3,0,0,0,2,0,1,4,4,0,4,1,0,4,0,3,3,2,2,2,2,0,1,4,0,1,1,3,4,2,3,4,1,4,4,3,3,4,4,0,0,2,3,2,2,2,1,2,1,4,4,1,3,2,0,0,3,1,3,3,0,1,2,3,4,1,4,3,3,2,4,2,3,4,3,1,3,3,3,1,2,3,3,4,3,0,2,0,0,3,0,3,1,4,2,1,0,1,0,2,0,2,2,1,3,0,3,1,1,1,4,0,1,4,2,4,4,4,1,4,0,1,0,0,1,0,4,2,2,4,2,0,0,4,4,1,1,2,1,1,0,0,3,1,2,3,2,3,4,2,4,2,1,2,0,4,3,1,4,2,3,4,4,1,4,2,4,1,2,2,2,3,1,3,0,3,0,1,4,3,1,3,0,3,1,2,4,2,0,0,3,1,3,1,2,4,3,2,3,3,0,4,1,3,3,1,2,3,1,4,3,4,2,0,4,1,0,4,3,0,0,2,3,4,3,2,1,4,0,4,3,3,4,2,2,4,4,0,4,3,3,1,4,1,4,4,4,0,1,0,3,3,0,4,1,3,4,3,3,0,2,2,3,1,1,3,4,3,3,2,3,4,1,4,3,4,3,2,2,2,1,0,3,1,3,4,1,2,4,1,0,0,0,0,1,1,3,2,2,4,0,1,1,1,3,1,2,4,4,1,3,0,3,1,4,2,1,1,1,3,4,4,2,0,0,0,2,0,2,4,3,1,3,4,0,4,3,4,4,4,2,4,0,4,3,4,2,1,4,4,0,1,3,1,4,2,3,0,0,3,3,0,2,1,4,3,0,3,3,1,0,3,0,1,0,2,3,1,0,3,1,4,0,2,1,2,2,1,1,4,3,4,2,2,4,4,1,3,2,2,2,1,2,1,0,3,3,2,0,1,0,1,1,4,0,1,2,0,4,3,4,0,1,3,4,4,3,2,0,4,4,2,0,2,1,2,0,2,3,2,1,1,2,0,0,3,2,3,1,4,4,3,4,4,1,0,3,1,1,2,1,2,1,0,0,0,3,1,0,2,0,0,0,0,1,2,3,1,1,3,3,4,0,0,3,3,1,4,4,3,4,0,2,0,0,2,4,1,1,4,2,1,4,0,3,4,4,3,4,2,1,1,0,2,1,4,3,4,0,1,0,2,2,3,4,3,2,0,3,2,3,4,4,3,2,0,2,0,0,1,3,4,4,4,2,4,0,4,0,0,3,4,2,4,1,2,0,3,0,2,2,0,4,3,4,0,0,2,1,3,3,4,3,1,4,2,0,0,1,3,4,3,3,0,4,2,0,0,1,3,1,3,3,0,3,2,1,4,0,3,2,0,1,3,0,4,1,2,0,3,4,1,2,0,2,2,4,1,0,0,2,2,4,2,0,3,1,3,0,2,0,4,4,3,0,2,0,4,1,4,1,0,3,2,3,2,1,0,2,1,0,3,2,3,3,1,3,1,4,2,2,2,3,0,2,1,3,1,3,4,3,3,3,1,4,1,0,3,1,0,2,0,4,1,4,0,1,1,0,1,1,3,0,0,4,1,0,3,0,3,1,2,0,4,4,0,1,4,4,4,0,1,1,3,2,4,4,2,2,1,0,1,4,4,3,0,2,4,0,4,3,0,2,3,4,4,2,3,4,3,4,1,0,2,0,0,4,2,3,3,3,2,1,2,4,1,1,3,4,2,0,4,3,4,1,4,4,4,0,3,3,3,2,0,4,4,4,4,0,2,4,1,0,1,3,2,2,3,3,0,0,1,2,2,4,1,4,3,2,1,1,1,2,0,0,4,0,2,1,1,4,4,1,2,0,2,2,0,0,1,4,1,0,2,1,2,1,1,0,4,1,0,1,3,0,1,1,0,2,1,4,2,0,2,3,3,4,4,4,4,3,1,1,2,2,2,4,3,2,3,1,4,3,4,4,2,2,1,1,1,0,0,2,3,3,2,1,1,3,4,0,4,1,2,2,4,2,3,0,1,1,2,1,4,2,1,0,1,3,4,1,3,1,0,3,4,2,3,4,4,1,4,2,0,2,2,1,0,0,2,1,3,4,3,4,0,0,2,0,2,4,4,3,4,4,0,2,0,0,2,2,1}

Returns: 376576711
{0,0,0,3,3,3,3,2,1,1,3,2,4,4,2,0,3,0,1,1,0,3,3,3,2,4,4,3,0,3,0,1,3,0,1,2,4,3,3,3,4,2,1,2,1,2,0,0,3,1,3,0,0,0,4,3,1,1,1,0,2,0,4,3,2,3,4,3,2,3,2,3,4,1,0,0,3,3,0,1,1,2,3,2,4,0,4,2,1,0,3,1,4,0,1,0,2,3,4,3,0,0,3,4,4,4,0,0,4,1,2,2,3,4,1,4,3,0,2,2,2,1,1,2,1,1,1,3,1,3,3,2,0,3,1,3,2,1,3,0,0,1,1,2,3,1,0,3,1,2,1,4,3,2,1,1,0,1,2,1,4,1,1,2,2,3,0,0,2,2,0,1,0,0,4,0,0,0,2,2,4,0,2,0,4,3,2,1,2,2,1,3,4,1,4,1,0,0,2,0,2,1,4,0,0,2,3,1,0,3,2,2,0,1,3,0,2,4,2,1,1,3,4,4,2,3,4,0,2,4,3,2,4,0,3,1,4,2,3,1,0,2,3,0,1,2,0,4,2,1,0,0,3,2,0,4,3,4,0,0,2,4,4,0,0,1,0,2,3,1,0,0,0,3,3,4,1,1,1,1,4,1,4,4,3,0,3,1,1,2,3,0,2,0,4,4,4,4,1,1,1,0,0,1,2,2,3,1,2,4,2,0,1,1,2,1,2,0,0,1,0,4,4,1,4,1,1,2,1,4,4,3,1,4,4,1,4,1,3,4,3,0,3,2,0,4,1,1,4,1,1,0,2,2,4,4,2,1,1,1,3,1,2,0,0,2,0,1,1,0,0,2,4,1,2,1,2,4,4,0,4,1,2,0,4,2,3,0,3,3,2,1,1,0,1,4,4,1,2,0,2,1,0,1,2,0,2,3,2,3,0,2,3,0,3,3,2,3,3,2,4,3,2,0,1,2,1,0,3,2,2,0,0,0,4,4,0,3,0,2,1,2,1,3,0,3,2,4,3,3,1,3,1,2,3,2,1,4,1,1,2,3,3,2,3,1,4,3,0,1,4,2,4,4,1,1,0,0,3,4,4,0,2,2,2,3,2,1,3,2,2,2,1,4,2,2,2,2,2,2,3,3,3,3,1,3,3,0,2,0,2,1,3,0,4,4,4,1,0,2,1,2,3,2,3,0,3,4,3,2,3,3,4,4,1,3,2,4,4,2,2,2,2,0,1,0,1,2,2,3,1,1,0,1,1,0,4,3,1,1,4,2,3,3,2,2,0,1,4,4,0,3,0,3,3,4,0,3,2,3,3,2,4,2,3,0,4,4,3,3,2,4,1,1,2,0,3,0,0,3,2,2,1,3,1,3,0,2,1,2,1,3,2,3,2,2,2,0,4,0,2,3,3,4,3,3,3,4,3,1,1,3,4,4,4,0,4,1,2,1,0,3,1,2,2,2,2,3,3,1,4,2,3,1,4,1,1,1,4,4,0,0,0,3,1,0,1,4,3,0,2,4,0,1,0,3,3,3,4,4,4,0,0,2,4,0,0,4,0,3,3,1,0,3,4,4,1,3,0,3,3,3,4,3,2,0,4,4,3,1,2,2,2,1,4,3,0,4,4,1,1,1,4,0,3,2,2,4,2,2,4,0,4,1,3,0,3,3,1,1,1,4,0,2,0,4,2,4,2,1,4,2,4,1,2,2,3,4,2,2,2,3,4,2,3,2,4,2,4,1,0,4,4,1,3,1,4,1,1,1,2,2,0,4,0,1,2,1,3,1,3,3,0,1,3,0,4,1,4,2,0,1,0,0,0,4,3,0,1,1,4,2,4,4,2,4,2,1,2,4,4,4,4,2,0,4,4,1,0,0,3,1,4,3,0,3,1,0,3,1,2,3,2,3,2,4,2,0,0,3,4,0,2,2,3,4,3,3,4,1,1,2,1,3,4,0,2,3,4,0,2,4,0,1,1,0,0,2,4,3,0,3,1,1,1,2,3,3,0,1,3,0,1,4,2,2,2,4,2,3,1,2,0,0,1,3,3,3,0,3,0,3,2,3,2,0,3,3,1,4,0,1,4,0,1,2,0,3,3,3,4,0,1,2,0,4,2,4,0,0,2,4,4,1,2,4,2,4,1,1,0,3,4,2,0,1,3,3,4,3,3,0,1,3,0,1,1,0,3,0,3,3,0,4,0,3,0,2,0,1,2,2,0,4,3,2,3,2,3,2,3,2,2,3,2,1,2,3,1,2,4,3,4,3,4,1,3,4,3,1,3,2,0,3,0,0,3,1,2,2,4,4,1,3,0,3,4,3,2,2,3,1,0,3,0,3,3,2,3,2,1,2,3,1,2,0,3,0,2,4,0,4,3,0,3,4,2,4,2,2,2,4,1,2,3,3,0,0,2,0,2,4,3,2,3,2,1,2,4,3,1,3,1,2,2,0,0,4,1,2,0,0,2,4,1,0,3,1,2,0,3,4,1,2,1,1,0,2,1,3,0,2,1,0,1,1,2,1,2,3,1,0,4,1,2,2,0,4,0,0,0,3,0,4,3,3,1,1,3,1,4,0,0,0,2,0,2,1,0,0,4,4,4,3,3,3,0,1,1,2,0,1,4,1,3,3,2,3,0,2,2,3,1,3,0,4,3,1,3,1,0,2,2,4,3,0,0,4,4,1,0,4,1,3,3,2,0,0,1,1,3,0,4,0,4,4,0,2,2,2,1,3,2,3,1,4,0,1,1,4,0,3,0,0,0,2,3,2,2,2,1,0,3,4,4,2,1,0,1,4,0,0,2,2,3,1,3,2,0,0,3,2,0,2,4,3,1,4,4,2,4,4,2,2,2,0,2,1,1,1,2,2,1,1,4,2,1,4,0,4,4,3,2,4,0,2,4,2,1,0,3,4,3,1,0,2,1,1,4,0,1,2,3,3,1,0,0,4,4,1,1,2,0,1,2,4,0,3,1,3,1,3,3,4,3,0,2,4,3,3,2,2,2,4,1,2,4,2,0,4,1,1,2,3,3,1,1,3,3,1,2,3,0,0,1,0,4,4,1,2,3,1,0,3,2,3,3,3,4,4,4,1,0,4,4,0,2,1,2,4,4,1,4,0,4,4,4,4,1,2,0,3,2,1,2,1,1,2,3,3,2,2,2,4,3,0,2,2,1,1,2,4,0,4,4,0,3,2,4,0,0,0,4,4,3,0,3,1,0,2,2,0,4,0,3,3,1,1,2,1,2,2,2,2,1,2,3,4,0,0,4,1,1,0,3,1,2,0,3,0,3,4,3,4,3,3,2,3,0,0,1,4,1,3,4,0,2,4,0,3,0,3,1,2,1,0,3,2,1,1,2,4,0,2,3,0,4,0,2,4,0,3,0,2,3,0,1,1,4,3,0,2,0,2,2,3,3,0,4,1,4,3,0,4,4,2,0,2,0,0,1,1,0,4,3,2,0,0,1,4,1,0,4,1,2,1,4,1,0,3,4,2,1,4,0,1,3,0,0,4,1,3,2,0,1,2,2,3,0,4,2,2,4,4,4,2,0,4,2,2,3,0,4,3,2,0,4,3,1,4,0,3,3,3,4,3,3,4,1,1,1,3,3,4,1,3,1,3,0,2,4,2,3,1,3,2,1,4,0,2,4,2,1,4,2,0,0,2,2,4,4,2,0,0,3,3,4,2,2,0,1,0,2,1,0,1,0,1,3,3,1,3,1,3,1,4,3,0,0,2,0,2,0,0,2,1,0,0,1,4,0,4,3,3,1,2,1,4,0,0,4,2,4,3,0,0,3,3,3,4,2,0,0,2,2,3,3,1,3,3,1,1,2,1,3,1,4,1,1,2,2,1,3,1,0,1,4,3,3,3,2,4,0,2,4,2,1,3,0,4,2,4,2,2,0,0,1,4,2,4,3,2,3,3,1,4,1,2,3,3,1,1,3,1,4,4,0,0,0,0,4,3,3,4,4,2,3,1,0,3,3,4,3,0,3,4,3,2,4,2,2,0,3,4,4,1,1,2,2,4,0,3,3,2,3,3,3,2,2,3,0,3,1,1,0,1,4,3,4,4,3,2,2,1,3,3,2,1,1,2,4,3,1,3,4,2,2,4,1,3,4,2,3,2,4,4,1,2,1,4,4,1,2,2,2,3,2,4,2,3,3,0,4,3,1,3,2,4,4,4,1,4,3,4,3,4,1,0,0,2,2,0,3,1,2,2,0,1,3,0,2,1,3,3,2,0,2,3,1,4,4,3,1,2,1,3,2,0,4,0,0,2,4,2,1,2,2,4,1,0,1,2,4,4,0,4,0,0,3,0,3,1,0,4,1,3,0,1,2,4,2,1,0,1,2,4,0,3,4,2,2,1,0,4,1,3,4,2,3,2,1,3,2,4,2,2,4,3,1,0,1,0,4,4,4,4,2,2,0,2,0,0,3,3,4,0,0,4,1,3,4,0,0,0,4,4,3,2,0,2,3,1,0,3,1,0,3,3,0}

Returns: 921033005
{0,1,2,3,4,0,0,2,2,0,4,0,4,3,4,1,2,3,4,1,4,2,1,4,0,3,4,1,0,2,0,4,3,4,3,1,2,0,0,3,1,1,2,3,0,0,1,2,0,0,3,4,1,1,1,2,3,3,3,2,1,0,0,1,3,3,2,1,1,4,1,0,4,2,3,4,0,3,4,3,1,4,1,0,2,1,3,4,1,3,2,1,4,3,0,0,1,1,2,3,4,3,1,1,0,2,0,3,3,3,1,3,1,4,3,2,2,0,2,1,4,3,1,3,3,1,1,0,2,0,2,2,4,1,0,4,2,4,1,4,0,2,0,0,1,2,3,2,3,3,1,0,1,4,2,1,0,1,3,2,3,0,4,3,1,2,4,3,3,2,2,3,3,2,3,1,3,3,4,2,0,3,4,4,3,0,2,4,3,3,1,4,2,4,2,0,4,1,4,0,4,0,1,3,4,1,0,4,3,0,2,1,4,2,3,0,1,2,4,4,4,4,1,4,0,4,1,4,3,4,3,0,4,4,3,4,2,0,3,2,4,0,3,2,2,4,2,1,4,4,4,4,4,3,1,1,1,1,1,0,4,1,1,1,1,3,2,1,3,1,4,3,1,0,1,3,4,4,1,3,3,3,2,4,1,4,2,1,3,2,1,4,0,3,3,0,0,2,2,1,1,1,1,3,1,1,0,1,3,1,0,1,1,1,4,2,2,2,4,4,1,3,3,3,1,0,1,1,0,3,0,4,2,0,2,3,4,2,3,1,3,0,3,3,3,3,3,0,3,4,2,3,4,0,1,1,2,3,4,0,1,2,1,1,0,3,4,3,0,1,1,4,2,0,3,0,2,1,0,0,0,0,0,2,1,2,3,0,3,2,0,1,3,0,0,2,4,2,4,3,1,1,1,3,2,2,1,4,2,4,1,0,2,0,4,3,2,1,4,0,2,2,0,4,1,2,4,0,4,2,0,2,1,4,2,4,0,4,2,2,0,0,3,0,3,2,4,4,0,0,0,1,4,3,0,3,0,0,1,4,0,3,4,1,0,1,4,0,3,0,2,1,4,4,2,2,0,3,1,1,3,0,1,4,2,2,2,3,1,4,4,2,3,0,0,3,1,2,2,4,2,1,2,2,4,0,4,0,3,0,0,1,2,2,3,1,3,3,4,4,4,0,1,0,2,4,2,0,4,3,1,1,0,3,2,3,4,4,2,3,0,4,0,3,2,1,3,4,1,2,3,4,1,0,4,1,2,0,3,0,1,4,0,2,1,0,1,4,3,3,2,1,4,4,4,0,3,1,3,3,2,1,3,3,3,2,1,3,1,3,0,1,0,3,0,4,1,4,4,1,3,3,1,2,3,4,4,3,0,3,3,1,2,0,0,3,3,2,1,0,2,1,4,0,1,2,1,2,0,3,1,3,1,3,2,2,1,0,4,4,3,1,3,4,1,2,1,2,0,1,4,2,0,0,2,3,2,1,4,4,1,4,4,4,3,0,0,2,0,0,0,1,2,1,0,4,0,2,2,4,1,4,4,4,0,0,1,3,3,4,2,4,1,4,1,0,1,2,0,3,3,2,4,2,0,1,2,4,0,3,4,4,3,1,3,3,1,3,4,2,2,1,4,3,4,1,0,4,4,1,1,3,4,4,4,4,2,0,1,0,0,4,0,4,4,2,2,0,1,4,0,0,0,4,4,1,3,0,2,1,2,2,0,2,4,2,0,1,0,0,0,2,0,0,2,0,3,1,3,1,1,4,1,4,1,2,2,4,3,0,2,3,4,4,4,1,4,2,3,4,2,4,0,2,2,1,2,1,1,2,1,2,3,0,0,0,2,3,4,2,2,1,2,1,3,0,2,2,0,0,1,3,3,0,1,0,4,3,1,2,4,4,2,4,3,0,4,4,3,1,3,0,2,2,0,3,2,1,1,2,2,2,3,4,0,0,2,1,2,2,3,1,3,1,3,3,4,1,1,0,4,1,4,4,2,0,0,0,1,1,4,2,4,3,4,3,3,3,2,0,0,3,3,4,2,0,2,3,1,0,2,3,0,1,3,2,4,1,4,4,4,1,2,4,1,3,3,2,3,0,2,0,1,3,2,1,4,1,0,3,1,3,1,0,4,1,2,1,0,0,1,2,2,0,2,0,0,4,2,4,0,4,4,0,2,0,0,1,1,3,1,1,2,1,3,2,2,2,3,4,1,4,0,1,2,2,3,3,0,1,0,0,4,1,3,2,2,2,1,3,2,3,0,1,4,3,3,0,3,3,2,0,2,4,2,1,0,4,1,2,4,1,0,2,3,2,2,0,0,1,0,4,0,2,2,4,0,3,4,3,4,3,0,0,2,2,3,4,4,0,2,1,3,3,0,0,3,2,4,0,0,1,1,1,0,3,1,2,1,3,2,0,0,2,0,1,1,1,0,4,3,1,1,3,3,4,0,2,3,3,4,4,1,2,2,2,1,0,4,4,1,2,0,3,4,3,2,3,0,3,4,1,2,4,3,0,2,4,4,2,0,3,0,2,2,2,1,0,0,1,1,1,0,1,2,3,4,4,1,3,1,3,3,0,0,4,3,3,4,0,1,2,4,3,3,0,1,4,0,4,2,2,3,3,1,3,1,1,3,3,1,2,2,1,1,4,1,3,4,0,3,3,2,2,2,3,4,2,1,0,2,0,4,3,3,0,1,1,4,3,4,1,0,2,1,0,1,1,3,1,3,2,2,0,1,3,0,2,2,1,2,2,4,4,2,1,1,2,4,4,2,0,3,3,4,0,0,3,4,3,2,3,3,4,1,3,1,2,0,1,1,1,4,4,1,3,2,1,1,2,1,0,4,4,0,0,1,4,3,3,2,0,4,1,0,3,4,2,4,0,3,2,1,1,3,0,3,2,3,3,1,1,0,1,4,0,0,1,3,0,3,0,4,4,3,2,3,3,3,4,4,1,3,1,4,2,2,2,0,1,0,1,0,2,3,2,1,1,1,4,2,4,0,3,4,4,2,1,1,1,0,1,3,0,4,3,0,2,1,2,4,4,3,0,1,3,4,0,3,2,1,0,1,3,1,0,3,0,1,4,4,4,2,0,2,0,3,1,4,4,0,1,0,2,2,0,4,2,0,1,2,0,2,4,3,2,0,0,4,2,3,3,4,2,3,3,0,0,1,0,4,2,0,1,4,1,0,3,0,1,0,3,3,0,3,4,2,3,4,1,2,0,0,4,4,0,3,4,3,4,3,3,2,4,3,2,4,1,3,3,3,4,0,3,2,1,4,2,3,2,2,2,1,1,4,3,4,3,0,4,4,2,3,1,3,4,3,1,4,4,2,0,0,4,1,2,4,2,4,3,4,0,0,1,1,0,3,4,3,4,4,0,1,3,3,2,1,0,0,3,0,0,2,3,3,0,4,2,2,4,2,2,0,3,4,2,1,4,4,0,4,3,3,1,4,1,4,2,1,0,3,0,0,3,3,4,4,2,2,3,4,0,2,2,3,0,2,0,1,1,0,1,1,0,2,4,0,1,2,3,4,3,0,0,2,3,1,4,3,1,1,0,4,3,4,0,0,1,3,2,2,4,0,4,2,2,2,2,3,3,3,1,3,4,1,3,0,0,1,4,4,0,0,0,2,1,1,0,0,4,3,4,4,4,1,3,4,0,1,0,2,4,3,2,2,1,3,2,0,3,1,3,4,3,4,2,2,3,4,0,4,0,3,3,3,0,4,2,0,0,4,2,4,0,0,2,0,2,2,2,0,4,0,0,0,0,3,3,2,0,4,0,4,4,4,2,0,3,3,0,2,4,3,0,2,2,0,0,2,0,3,2,2,4,2,0,1,1,0,0,1,0,1,0,3,1,4,0,1,3,2,0,2,3,4,0,1,0,3,4,1,1,0,1,3,3,3,3,0,3,1,3,0,3,1,0,0,0,4,2,1,4,1,2,3,1,3,1,1,2,4,4,1,2,0,3,4,3,1,2,2,2,1,3,4,0,1,3,2,2,2,4,4,0,0,1,4,0,3,3,1,2,3,3,1,4,3,0,0,0,1,3,0,4,0,0,0,2,1,1,0,2,0,0,0,1,4,3,1,0,2,2,1,4,3,3,1,4,0,1,2,3,2,4,0,2,3,3,1,3,1,4,1,0,2,3,3,2,2,1,1,4,4,4,4,0,4,1,0,4,0,4,2,2,0,2,0,3,3,3,0,2,3,4,1,0,3,0,4,0,3,4,3,0,1,2,0,3,2,4,0,4,2,2,1,3,4,4,3,2,4,3,1,3,1,1,1,1,3,0,2,1,2,3,2,4,3,0,3,1,4,3,4,3,0,1,2,0,0,1,1,4,2,1,4,4,4,4,1,2,3,4,1,4,1,2,2,0,4,0,1,4,4,3,1,3,2,1,0,0,1,1,2,2,1,0,3,3,0,0,0,1,1,3,3,2,2,2,2,0,4,3,3,1,2,0,1,0,2,1,4,0,2,3,3,0,2,4}

Returns: 90898823
{0, 0, 2, 2, 3, 1, 0, 1, 5 }

Returns: 0
{0, 0, 2, 2, 2, 4, 0, 4, 7, 2, 10, 11, 9, 0, 1, 0 }

Returns: 7
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315, 316, 316, 317, 317, 318, 318, 319, 319, 320, 320, 321, 321, 322, 322 }

Returns: 638165655
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}

Returns: 0

Statistics

Problem Statement for "TheTreeAndMan"

Problem Statement

Definition

Constraints

Examples