TopCoder Statistics - Problem Statement

Problem Statement

Charlie has a grid of n rows by m columns. The rows are numbered 0 through n-1 from top to bottom. The columns are numbered 0 through m-1 from left to right.

Each cell of the grid contains a positive integer. The integers in Charlie's grid are a permutation of the numbers 1 through n*m. (I.e., each of these numbers occurs in the grid exactly once.)

Given a grid, its value list is a sequence constructed by listing all values in the grid in row major order. That is, we first list the values in row 0 from left to right, then the values in row 1 from left to right, and so on.

You are given the ints n and m: the dimensions of Charlie's grid. You are also given a int[] grid: the value list for Charlie's grid. (Formally, grid[i*m+j] is the value stored in row i, column j of the grid.)

In Charlie's eyes, the most beautiful of all grids is the sorted grid: the grid whose value list is the ordered ordered sequence {1,2,3,...,n*m}.

Given a grid, its similarity string is a string of zeroes and ones that describes the similarity between that particular grid and the sorted grid. More precisely:

The similarity string is a string of length n*m.
For each i, character i of the similarity string is '1' if both grids have the same i-th element in their value lists, and it is '0' if those values differ. (All indices in the previous sentence are 0-based.)

For example, suppose n=2 and m=3. The sorted grid has the value list {1,2,3,4,5,6}, and its similarity string is "111111". Another possible grid with these dimensions has the value list {1,5,2,4,3,6}. The similarity string for this grid is "100101".

Charlie can modify his grid in two ways: He may swap any two rows, and he may swap any two columns. He wants to use these operations to obtain a grid with the lexicographically largest possible similarity string. Find and return that string.

Definition

Class:: GridSortMax
Method:: findMax
Parameters:: int, int, int[]
Returns:: String
Method signature:: String findMax(int n, int m, int[] grid)
(be sure your method is public)

Constraints

n,m will be between 1 and 50, inclusive.
grid will be a permutation of [1,...,n*m]

Examples

2

2

{ 1,2, 3,4 }

Returns: "1111"

Charlie's grid is the sorted grid. Its similarity string is therefore "1111". Charlie should make no changes to the grid, as this is already the lexicographically largest of all possible strings.
2

2

{ 2,1, 3,4 }

Returns: "1100"

The similarity string for Charlie's current grid is "0011", as the values 3 and 4 are in the same places as in the sorted grid. Charlie should swap the two columns. That swap will produce a grid with the similarity string "1100": now the values 1 and 2 are in their correct places but the values 3 and 4 aren't.
2

2

{ 4,2, 3,1 }

Returns: "1001"
1

10

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

Returns: "1111111111"
3

5

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

Returns: "101100100100000"
6

2

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

Returns: "100000101010"
14

38

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

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
5

15

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

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111"
38

35

{728,718,724,720,734,735,715,731,722,705,702,708,719,733,713,721,732,729,730,707,716,710,709,704,727,712,714,723,701,703,717,711,725,706,726,1323,1313,1319,1315,1329,1330,1310,1326,1317,1300,1297,1303,1314,1328,1308,1316,1327,1324,1325,1302,1311,1305,1304,1299,1322,1307,1309,1318,1296,1298,1312,1306,1320,1301,1321,973,963,969,965,979,980,960,976,967,950,947,953,964,978,958,966,977,974,975,952,961,955,954,949,972,957,959,968,946,948,962,956,970,951,971,518,508,514,510,524,525,505,521,512,495,492,498,509,523,503,511,522,519,520,497,506,500,499,494,517,502,504,513,491,493,507,501,515,496,516,623,613,619,615,629,630,610,626,617,600,597,603,614,628,608,616,627,624,625,602,611,605,604,599,622,607,609,618,596,598,612,606,620,601,621,448,438,444,440,454,455,435,451,442,425,422,428,439,453,433,441,452,449,450,427,436,430,429,424,447,432,434,443,421,423,437,431,445,426,446,1113,1103,1109,1105,1119,1120,1100,1116,1107,1090,1087,1093,1104,1118,1098,1106,1117,1114,1115,1092,1101,1095,1094,1089,1112,1097,1099,1108,1086,1088,1102,1096,1110,1091,1111,1043,1033,1039,1035,1049,1050,1030,1046,1037,1020,1017,1023,1034,1048,1028,1036,1047,1044,1045,1022,1031,1025,1024,1019,1042,1027,1029,1038,1016,1018,1032,1026,1040,1021,1041,133,123,129,125,139,140,120,136,127,110,107,113,124,138,118,126,137,134,135,112,121,115,114,109,132,117,119,128,106,108,122,116,130,111,131,378,368,374,370,384,385,365,381,372,355,352,358,369,383,363,371,382,379,380,357,366,360,359,354,377,362,364,373,351,353,367,361,375,356,376,308,298,304,300,314,315,295,311,302,285,282,288,299,313,293,301,312,309,310,287,296,290,289,284,307,292,294,303,281,283,297,291,305,286,306,553,543,549,545,559,560,540,556,547,530,527,533,544,558,538,546,557,554,555,532,541,535,534,529,552,537,539,548,526,528,542,536,550,531,551,483,473,479,475,489,490,470,486,477,460,457,463,474,488,468,476,487,484,485,462,471,465,464,459,482,467,469,478,456,458,472,466,480,461,481,63,53,59,55,69,70,50,66,57,40,37,43,54,68,48,56,67,64,65,42,51,45,44,39,62,47,49,58,36,38,52,46,60,41,61,658,648,654,650,664,665,645,661,652,635,632,638,649,663,643,651,662,659,660,637,646,640,639,634,657,642,644,653,631,633,647,641,655,636,656,273,263,269,265,279,280,260,276,267,250,247,253,264,278,258,266,277,274,275,252,261,255,254,249,272,257,259,268,246,248,262,256,270,251,271,343,333,339,335,349,350,330,346,337,320,317,323,334,348,328,336,347,344,345,322,331,325,324,319,342,327,329,338,316,318,332,326,340,321,341,1008,998,1004,1000,1014,1015,995,1011,1002,985,982,988,999,1013,993,1001,1012,1009,1010,987,996,990,989,984,1007,992,994,1003,981,983,997,991,1005,986,1006,693,683,689,685,699,700,680,696,687,670,667,673,684,698,678,686,697,694,695,672,681,675,674,669,692,677,679,688,666,668,682,676,690,671,691,833,823,829,825,839,840,820,836,827,810,807,813,824,838,818,826,837,834,835,812,821,815,814,809,832,817,819,828,806,808,822,816,830,811,831,238,228,234,230,244,245,225,241,232,215,212,218,229,243,223,231,242,239,240,217,226,220,219,214,237,222,224,233,211,213,227,221,235,216,236,763,753,759,755,769,770,750,766,757,740,737,743,754,768,748,756,767,764,765,742,751,745,744,739,762,747,749,758,736,738,752,746,760,741,761,1148,1138,1144,1140,1154,1155,1135,1151,1142,1125,1122,1128,1139,1153,1133,1141,1152,1149,1150,1127,1136,1130,1129,1124,1147,1132,1134,1143,1121,1123,1137,1131,1145,1126,1146,413,403,409,405,419,420,400,416,407,390,387,393,404,418,398,406,417,414,415,392,401,395,394,389,412,397,399,408,386,388,402,396,410,391,411,1078,1068,1074,1070,1084,1085,1065,1081,1072,1055,1052,1058,1069,1083,1063,1071,1082,1079,1080,1057,1066,1060,1059,1054,1077,1062,1064,1073,1051,1053,1067,1061,1075,1056,1076,98,88,94,90,104,105,85,101,92,75,72,78,89,103,83,91,102,99,100,77,86,80,79,74,97,82,84,93,71,73,87,81,95,76,96,798,788,794,790,804,805,785,801,792,775,772,778,789,803,783,791,802,799,800,777,786,780,779,774,797,782,784,793,771,773,787,781,795,776,796,1218,1208,1214,1210,1224,1225,1205,1221,1212,1195,1192,1198,1209,1223,1203,1211,1222,1219,1220,1197,1206,1200,1199,1194,1217,1202,1204,1213,1191,1193,1207,1201,1215,1196,1216,1288,1278,1284,1280,1294,1295,1275,1291,1282,1265,1262,1268,1279,1293,1273,1281,1292,1289,1290,1267,1276,1270,1269,1264,1287,1272,1274,1283,1261,1263,1277,1271,1285,1266,1286,588,578,584,580,594,595,575,591,582,565,562,568,579,593,573,581,592,589,590,567,576,570,569,564,587,572,574,583,561,563,577,571,585,566,586,168,158,164,160,174,175,155,171,162,145,142,148,159,173,153,161,172,169,170,147,156,150,149,144,167,152,154,163,141,143,157,151,165,146,166,903,893,899,895,909,910,890,906,897,880,877,883,894,908,888,896,907,904,905,882,891,885,884,879,902,887,889,898,876,878,892,886,900,881,901,28,18,24,20,34,35,15,31,22,5,2,8,19,33,13,21,32,29,30,7,16,10,9,4,27,12,14,23,1,3,17,11,25,6,26,938,928,934,930,944,945,925,941,932,915,912,918,929,943,923,931,942,939,940,917,926,920,919,914,937,922,924,933,911,913,927,921,935,916,936,1183,1173,1179,1175,1189,1190,1170,1186,1177,1160,1157,1163,1174,1188,1168,1176,1187,1184,1185,1162,1171,1165,1164,1159,1182,1167,1169,1178,1156,1158,1172,1166,1180,1161,1181,1253,1243,1249,1245,1259,1260,1240,1256,1247,1230,1227,1233,1244,1258,1238,1246,1257,1254,1255,1232,1241,1235,1234,1229,1252,1237,1239,1248,1226,1228,1242,1236,1250,1231,1251,868,858,864,860,874,875,855,871,862,845,842,848,859,873,853,861,872,869,870,847,856,850,849,844,867,852,854,863,841,843,857,851,865,846,866,203,193,199,195,209,210,190,206,197,180,177,183,194,208,188,196,207,204,205,182,191,185,184,179,202,187,189,198,176,178,192,186,200,181,201}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
45

12

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

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
24

38

{301,277,268,283,293,288,298,287,304,295,286,285,270,300,274,290,272,279,284,289,275,303,282,276,280,273,297,296,294,278,281,271,267,299,291,302,269,292,795,771,762,777,787,782,792,781,798,789,780,779,764,794,768,784,766,773,778,783,769,797,776,770,774,767,791,790,788,772,775,765,761,793,785,796,763,786,415,391,382,397,407,402,412,401,418,409,400,399,384,414,388,404,386,393,398,403,389,417,396,390,394,387,411,410,408,392,395,385,381,413,405,416,383,406,833,809,800,815,825,820,830,819,836,827,818,817,802,832,806,822,804,811,816,821,807,835,814,808,812,805,829,828,826,810,813,803,799,831,823,834,801,824,757,733,724,739,749,744,754,743,760,751,742,741,726,756,730,746,728,735,740,745,731,759,738,732,736,729,753,752,750,734,737,727,723,755,747,758,725,748,35,11,2,17,27,22,32,21,38,29,20,19,4,34,8,24,6,13,18,23,9,37,16,10,14,7,31,30,28,12,15,5,1,33,25,36,3,26,187,163,154,169,179,174,184,173,190,181,172,171,156,186,160,176,158,165,170,175,161,189,168,162,166,159,183,182,180,164,167,157,153,185,177,188,155,178,681,657,648,663,673,668,678,667,684,675,666,665,650,680,654,670,652,659,664,669,655,683,662,656,660,653,677,676,674,658,661,651,647,679,671,682,649,672,643,619,610,625,635,630,640,629,646,637,628,627,612,642,616,632,614,621,626,631,617,645,624,618,622,615,639,638,636,620,623,613,609,641,633,644,611,634,529,505,496,511,521,516,526,515,532,523,514,513,498,528,502,518,500,507,512,517,503,531,510,504,508,501,525,524,522,506,509,499,495,527,519,530,497,520,871,847,838,853,863,858,868,857,874,865,856,855,840,870,844,860,842,849,854,859,845,873,852,846,850,843,867,866,864,848,851,841,837,869,861,872,839,862,263,239,230,245,255,250,260,249,266,257,248,247,232,262,236,252,234,241,246,251,237,265,244,238,242,235,259,258,256,240,243,233,229,261,253,264,231,254,605,581,572,587,597,592,602,591,608,599,590,589,574,604,578,594,576,583,588,593,579,607,586,580,584,577,601,600,598,582,585,575,571,603,595,606,573,596,491,467,458,473,483,478,488,477,494,485,476,475,460,490,464,480,462,469,474,479,465,493,472,466,470,463,487,486,484,468,471,461,457,489,481,492,459,482,453,429,420,435,445,440,450,439,456,447,438,437,422,452,426,442,424,431,436,441,427,455,434,428,432,425,449,448,446,430,433,423,419,451,443,454,421,444,149,125,116,131,141,136,146,135,152,143,134,133,118,148,122,138,120,127,132,137,123,151,130,124,128,121,145,144,142,126,129,119,115,147,139,150,117,140,377,353,344,359,369,364,374,363,380,371,362,361,346,376,350,366,348,355,360,365,351,379,358,352,356,349,373,372,370,354,357,347,343,375,367,378,345,368,225,201,192,207,217,212,222,211,228,219,210,209,194,224,198,214,196,203,208,213,199,227,206,200,204,197,221,220,218,202,205,195,191,223,215,226,193,216,73,49,40,55,65,60,70,59,76,67,58,57,42,72,46,62,44,51,56,61,47,75,54,48,52,45,69,68,66,50,53,43,39,71,63,74,41,64,909,885,876,891,901,896,906,895,912,903,894,893,878,908,882,898,880,887,892,897,883,911,890,884,888,881,905,904,902,886,889,879,875,907,899,910,877,900,339,315,306,321,331,326,336,325,342,333,324,323,308,338,312,328,310,317,322,327,313,341,320,314,318,311,335,334,332,316,319,309,305,337,329,340,307,330,567,543,534,549,559,554,564,553,570,561,552,551,536,566,540,556,538,545,550,555,541,569,548,542,546,539,563,562,560,544,547,537,533,565,557,568,535,558,719,695,686,701,711,706,716,705,722,713,704,703,688,718,692,708,690,697,702,707,693,721,700,694,698,691,715,714,712,696,699,689,685,717,709,720,687,710,111,87,78,93,103,98,108,97,114,105,96,95,80,110,84,100,82,89,94,99,85,113,92,86,90,83,107,106,104,88,91,81,77,109,101,112,79,102}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
42

21

{795,792,779,794,798,788,789,797,782,796,783,780,790,791,781,793,778,784,787,786,785,522,519,506,521,525,515,516,524,509,523,510,507,517,518,508,520,505,511,514,513,512,396,393,380,395,399,389,390,398,383,397,384,381,391,392,382,394,379,385,388,387,386,417,414,401,416,420,410,411,419,404,418,405,402,412,413,403,415,400,406,409,408,407,123,120,107,122,126,116,117,125,110,124,111,108,118,119,109,121,106,112,115,114,113,753,750,737,752,756,746,747,755,740,754,741,738,748,749,739,751,736,742,745,744,743,165,162,149,164,168,158,159,167,152,166,153,150,160,161,151,163,148,154,157,156,155,480,477,464,479,483,473,474,482,467,481,468,465,475,476,466,478,463,469,472,471,470,270,267,254,269,273,263,264,272,257,271,258,255,265,266,256,268,253,259,262,261,260,648,645,632,647,651,641,642,650,635,649,636,633,643,644,634,646,631,637,640,639,638,333,330,317,332,336,326,327,335,320,334,321,318,328,329,319,331,316,322,325,324,323,144,141,128,143,147,137,138,146,131,145,132,129,139,140,130,142,127,133,136,135,134,711,708,695,710,714,704,705,713,698,712,699,696,706,707,697,709,694,700,703,702,701,18,15,2,17,21,11,12,20,5,19,6,3,13,14,4,16,1,7,10,9,8,690,687,674,689,693,683,684,692,677,691,678,675,685,686,676,688,673,679,682,681,680,207,204,191,206,210,200,201,209,194,208,195,192,202,203,193,205,190,196,199,198,197,354,351,338,353,357,347,348,356,341,355,342,339,349,350,340,352,337,343,346,345,344,438,435,422,437,441,431,432,440,425,439,426,423,433,434,424,436,421,427,430,429,428,627,624,611,626,630,620,621,629,614,628,615,612,622,623,613,625,610,616,619,618,617,774,771,758,773,777,767,768,776,761,775,762,759,769,770,760,772,757,763,766,765,764,60,57,44,59,63,53,54,62,47,61,48,45,55,56,46,58,43,49,52,51,50,186,183,170,185,189,179,180,188,173,187,174,171,181,182,172,184,169,175,178,177,176,879,876,863,878,882,872,873,881,866,880,867,864,874,875,865,877,862,868,871,870,869,375,372,359,374,378,368,369,377,362,376,363,360,370,371,361,373,358,364,367,366,365,228,225,212,227,231,221,222,230,215,229,216,213,223,224,214,226,211,217,220,219,218,732,729,716,731,735,725,726,734,719,733,720,717,727,728,718,730,715,721,724,723,722,291,288,275,290,294,284,285,293,278,292,279,276,286,287,277,289,274,280,283,282,281,585,582,569,584,588,578,579,587,572,586,573,570,580,581,571,583,568,574,577,576,575,669,666,653,668,672,662,663,671,656,670,657,654,664,665,655,667,652,658,661,660,659,81,78,65,80,84,74,75,83,68,82,69,66,76,77,67,79,64,70,73,72,71,606,603,590,605,609,599,600,608,593,607,594,591,601,602,592,604,589,595,598,597,596,816,813,800,815,819,809,810,818,803,817,804,801,811,812,802,814,799,805,808,807,806,564,561,548,563,567,557,558,566,551,565,552,549,559,560,550,562,547,553,556,555,554,501,498,485,500,504,494,495,503,488,502,489,486,496,497,487,499,484,490,493,492,491,459,456,443,458,462,452,453,461,446,460,447,444,454,455,445,457,442,448,451,450,449,249,246,233,248,252,242,243,251,236,250,237,234,244,245,235,247,232,238,241,240,239,312,309,296,311,315,305,306,314,299,313,300,297,307,308,298,310,295,301,304,303,302,543,540,527,542,546,536,537,545,530,544,531,528,538,539,529,541,526,532,535,534,533,102,99,86,101,105,95,96,104,89,103,90,87,97,98,88,100,85,91,94,93,92,39,36,23,38,42,32,33,41,26,40,27,24,34,35,25,37,22,28,31,30,29,837,834,821,836,840,830,831,839,824,838,825,822,832,833,823,835,820,826,829,828,827,858,855,842,857,861,851,852,860,845,859,846,843,853,854,844,856,841,847,850,849,848}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
44

7

{254,259,258,257,255,253,256,65,70,69,68,66,64,67,233,238,237,236,234,232,235,205,210,209,208,206,204,207,268,273,272,271,269,267,270,9,14,13,12,10,8,11,296,301,300,299,297,295,298,121,126,125,124,122,120,123,128,133,132,131,129,127,130,44,49,48,47,45,43,46,198,203,202,201,199,197,200,79,84,83,82,80,78,81,163,168,167,166,164,162,165,30,35,34,33,31,29,32,177,182,181,180,178,176,179,107,112,111,110,108,106,109,156,161,160,159,157,155,158,289,294,293,292,290,288,291,170,175,174,173,171,169,172,191,196,195,194,192,190,193,142,147,146,145,143,141,144,226,231,230,229,227,225,228,16,21,20,19,17,15,18,247,252,251,250,248,246,249,282,287,286,285,283,281,284,212,217,216,215,213,211,214,72,77,76,75,73,71,74,275,280,279,278,276,274,277,240,245,244,243,241,239,242,93,98,97,96,94,92,95,184,189,188,187,185,183,186,261,266,265,264,262,260,263,303,308,307,306,304,302,305,86,91,90,89,87,85,88,114,119,118,117,115,113,116,51,56,55,54,52,50,53,58,63,62,61,59,57,60,37,42,41,40,38,36,39,219,224,223,222,220,218,221,149,154,153,152,150,148,151,2,7,6,5,3,1,4,23,28,27,26,24,22,25,135,140,139,138,136,134,137,100,105,104,103,101,99,102}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
16

33

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

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
45

48

{2094,2089,2083,2097,2109,2099,2092,2073,2069,2105,2086,2093,2095,2068,2108,2090,2088,2096,2098,2110,2077,2082,2112,2071,2101,2081,2067,2100,2066,2107,2084,2072,2106,2076,2104,2087,2103,2074,2079,2111,2078,2102,2075,2085,2080,2091,2070,2065,1470,1465,1459,1473,1485,1475,1468,1449,1445,1481,1462,1469,1471,1444,1484,1466,1464,1472,1474,1486,1453,1458,1488,1447,1477,1457,1443,1476,1442,1483,1460,1448,1482,1452,1480,1463,1479,1450,1455,1487,1454,1478,1451,1461,1456,1467,1446,1441,414,409,403,417,429,419,412,393,389,425,406,413,415,388,428,410,408,416,418,430,397,402,432,391,421,401,387,420,386,427,404,392,426,396,424,407,423,394,399,431,398,422,395,405,400,411,390,385,702,697,691,705,717,707,700,681,677,713,694,701,703,676,716,698,696,704,706,718,685,690,720,679,709,689,675,708,674,715,692,680,714,684,712,695,711,682,687,719,686,710,683,693,688,699,678,673,366,361,355,369,381,371,364,345,341,377,358,365,367,340,380,362,360,368,370,382,349,354,384,343,373,353,339,372,338,379,356,344,378,348,376,359,375,346,351,383,350,374,347,357,352,363,342,337,1326,1321,1315,1329,1341,1331,1324,1305,1301,1337,1318,1325,1327,1300,1340,1322,1320,1328,1330,1342,1309,1314,1344,1303,1333,1313,1299,1332,1298,1339,1316,1304,1338,1308,1336,1319,1335,1306,1311,1343,1310,1334,1307,1317,1312,1323,1302,1297,750,745,739,753,765,755,748,729,725,761,742,749,751,724,764,746,744,752,754,766,733,738,768,727,757,737,723,756,722,763,740,728,762,732,760,743,759,730,735,767,734,758,731,741,736,747,726,721,30,25,19,33,45,35,28,9,5,41,22,29,31,4,44,26,24,32,34,46,13,18,48,7,37,17,3,36,2,43,20,8,42,12,40,23,39,10,15,47,14,38,11,21,16,27,6,1,222,217,211,225,237,227,220,201,197,233,214,221,223,196,236,218,216,224,226,238,205,210,240,199,229,209,195,228,194,235,212,200,234,204,232,215,231,202,207,239,206,230,203,213,208,219,198,193,1758,1753,1747,1761,1773,1763,1756,1737,1733,1769,1750,1757,1759,1732,1772,1754,1752,1760,1762,1774,1741,1746,1776,1735,1765,1745,1731,1764,1730,1771,1748,1736,1770,1740,1768,1751,1767,1738,1743,1775,1742,1766,1739,1749,1744,1755,1734,1729,1038,1033,1027,1041,1053,1043,1036,1017,1013,1049,1030,1037,1039,1012,1052,1034,1032,1040,1042,1054,1021,1026,1056,1015,1045,1025,1011,1044,1010,1051,1028,1016,1050,1020,1048,1031,1047,1018,1023,1055,1022,1046,1019,1029,1024,1035,1014,1009,1854,1849,1843,1857,1869,1859,1852,1833,1829,1865,1846,1853,1855,1828,1868,1850,1848,1856,1858,1870,1837,1842,1872,1831,1861,1841,1827,1860,1826,1867,1844,1832,1866,1836,1864,1847,1863,1834,1839,1871,1838,1862,1835,1845,1840,1851,1830,1825,78,73,67,81,93,83,76,57,53,89,70,77,79,52,92,74,72,80,82,94,61,66,96,55,85,65,51,84,50,91,68,56,90,60,88,71,87,58,63,95,62,86,59,69,64,75,54,49,2142,2137,2131,2145,2157,2147,2140,2121,2117,2153,2134,2141,2143,2116,2156,2138,2136,2144,2146,2158,2125,2130,2160,2119,2149,2129,2115,2148,2114,2155,2132,2120,2154,2124,2152,2135,2151,2122,2127,2159,2126,2150,2123,2133,2128,2139,2118,2113,990,985,979,993,1005,995,988,969,965,1001,982,989,991,964,1004,986,984,992,994,1006,973,978,1008,967,997,977,963,996,962,1003,980,968,1002,972,1000,983,999,970,975,1007,974,998,971,981,976,987,966,961,1134,1129,1123,1137,1149,1139,1132,1113,1109,1145,1126,1133,1135,1108,1148,1130,1128,1136,1138,1150,1117,1122,1152,1111,1141,1121,1107,1140,1106,1147,1124,1112,1146,1116,1144,1127,1143,1114,1119,1151,1118,1142,1115,1125,1120,1131,1110,1105,942,937,931,945,957,947,940,921,917,953,934,941,943,916,956,938,936,944,946,958,925,930,960,919,949,929,915,948,914,955,932,920,954,924,952,935,951,922,927,959,926,950,923,933,928,939,918,913,654,649,643,657,669,659,652,633,629,665,646,653,655,628,668,650,648,656,658,670,637,642,672,631,661,641,627,660,626,667,644,632,666,636,664,647,663,634,639,671,638,662,635,645,640,651,630,625,894,889,883,897,909,899,892,873,869,905,886,893,895,868,908,890,888,896,898,910,877,882,912,871,901,881,867,900,866,907,884,872,906,876,904,887,903,874,879,911,878,902,875,885,880,891,870,865,1374,1369,1363,1377,1389,1379,1372,1353,1349,1385,1366,1373,1375,1348,1388,1370,1368,1376,1378,1390,1357,1362,1392,1351,1381,1361,1347,1380,1346,1387,1364,1352,1386,1356,1384,1367,1383,1354,1359,1391,1358,1382,1355,1365,1360,1371,1350,1345,462,457,451,465,477,467,460,441,437,473,454,461,463,436,476,458,456,464,466,478,445,450,480,439,469,449,435,468,434,475,452,440,474,444,472,455,471,442,447,479,446,470,443,453,448,459,438,433,1710,1705,1699,1713,1725,1715,1708,1689,1685,1721,1702,1709,1711,1684,1724,1706,1704,1712,1714,1726,1693,1698,1728,1687,1717,1697,1683,1716,1682,1723,1700,1688,1722,1692,1720,1703,1719,1690,1695,1727,1694,1718,1691,1701,1696,1707,1686,1681,318,313,307,321,333,323,316,297,293,329,310,317,319,292,332,314,312,320,322,334,301,306,336,295,325,305,291,324,290,331,308,296,330,300,328,311,327,298,303,335,302,326,299,309,304,315,294,289,1950,1945,1939,1953,1965,1955,1948,1929,1925,1961,1942,1949,1951,1924,1964,1946,1944,1952,1954,1966,1933,1938,1968,1927,1957,1937,1923,1956,1922,1963,1940,1928,1962,1932,1960,1943,1959,1930,1935,1967,1934,1958,1931,1941,1936,1947,1926,1921,606,601,595,609,621,611,604,585,581,617,598,605,607,580,620,602,600,608,610,622,589,594,624,583,613,593,579,612,578,619,596,584,618,588,616,599,615,586,591,623,590,614,587,597,592,603,582,577,1230,1225,1219,1233,1245,1235,1228,1209,1205,1241,1222,1229,1231,1204,1244,1226,1224,1232,1234,1246,1213,1218,1248,1207,1237,1217,1203,1236,1202,1243,1220,1208,1242,1212,1240,1223,1239,1210,1215,1247,1214,1238,1211,1221,1216,1227,1206,1201,1806,1801,1795,1809,1821,1811,1804,1785,1781,1817,1798,1805,1807,1780,1820,1802,1800,1808,1810,1822,1789,1794,1824,1783,1813,1793,1779,1812,1778,1819,1796,1784,1818,1788,1816,1799,1815,1786,1791,1823,1790,1814,1787,1797,1792,1803,1782,1777,1662,1657,1651,1665,1677,1667,1660,1641,1637,1673,1654,1661,1663,1636,1676,1658,1656,1664,1666,1678,1645,1650,1680,1639,1669,1649,1635,1668,1634,1675,1652,1640,1674,1644,1672,1655,1671,1642,1647,1679,1646,1670,1643,1653,1648,1659,1638,1633,1518,1513,1507,1521,1533,1523,1516,1497,1493,1529,1510,1517,1519,1492,1532,1514,1512,1520,1522,1534,1501,1506,1536,1495,1525,1505,1491,1524,1490,1531,1508,1496,1530,1500,1528,1511,1527,1498,1503,1535,1502,1526,1499,1509,1504,1515,1494,1489,1998,1993,1987,2001,2013,2003,1996,1977,1973,2009,1990,1997,1999,1972,2012,1994,1992,2000,2002,2014,1981,1986,2016,1975,2005,1985,1971,2004,1970,2011,1988,1976,2010,1980,2008,1991,2007,1978,1983,2015,1982,2006,1979,1989,1984,1995,1974,1969,510,505,499,513,525,515,508,489,485,521,502,509,511,484,524,506,504,512,514,526,493,498,528,487,517,497,483,516,482,523,500,488,522,492,520,503,519,490,495,527,494,518,491,501,496,507,486,481,798,793,787,801,813,803,796,777,773,809,790,797,799,772,812,794,792,800,802,814,781,786,816,775,805,785,771,804,770,811,788,776,810,780,808,791,807,778,783,815,782,806,779,789,784,795,774,769,1278,1273,1267,1281,1293,1283,1276,1257,1253,1289,1270,1277,1279,1252,1292,1274,1272,1280,1282,1294,1261,1266,1296,1255,1285,1265,1251,1284,1250,1291,1268,1256,1290,1260,1288,1271,1287,1258,1263,1295,1262,1286,1259,1269,1264,1275,1254,1249,558,553,547,561,573,563,556,537,533,569,550,557,559,532,572,554,552,560,562,574,541,546,576,535,565,545,531,564,530,571,548,536,570,540,568,551,567,538,543,575,542,566,539,549,544,555,534,529,270,265,259,273,285,275,268,249,245,281,262,269,271,244,284,266,264,272,274,286,253,258,288,247,277,257,243,276,242,283,260,248,282,252,280,263,279,250,255,287,254,278,251,261,256,267,246,241,126,121,115,129,141,131,124,105,101,137,118,125,127,100,140,122,120,128,130,142,109,114,144,103,133,113,99,132,98,139,116,104,138,108,136,119,135,106,111,143,110,134,107,117,112,123,102,97,1566,1561,1555,1569,1581,1571,1564,1545,1541,1577,1558,1565,1567,1540,1580,1562,1560,1568,1570,1582,1549,1554,1584,1543,1573,1553,1539,1572,1538,1579,1556,1544,1578,1548,1576,1559,1575,1546,1551,1583,1550,1574,1547,1557,1552,1563,1542,1537,1902,1897,1891,1905,1917,1907,1900,1881,1877,1913,1894,1901,1903,1876,1916,1898,1896,1904,1906,1918,1885,1890,1920,1879,1909,1889,1875,1908,1874,1915,1892,1880,1914,1884,1912,1895,1911,1882,1887,1919,1886,1910,1883,1893,1888,1899,1878,1873,846,841,835,849,861,851,844,825,821,857,838,845,847,820,860,842,840,848,850,862,829,834,864,823,853,833,819,852,818,859,836,824,858,828,856,839,855,826,831,863,830,854,827,837,832,843,822,817,1614,1609,1603,1617,1629,1619,1612,1593,1589,1625,1606,1613,1615,1588,1628,1610,1608,1616,1618,1630,1597,1602,1632,1591,1621,1601,1587,1620,1586,1627,1604,1592,1626,1596,1624,1607,1623,1594,1599,1631,1598,1622,1595,1605,1600,1611,1590,1585,2046,2041,2035,2049,2061,2051,2044,2025,2021,2057,2038,2045,2047,2020,2060,2042,2040,2048,2050,2062,2029,2034,2064,2023,2053,2033,2019,2052,2018,2059,2036,2024,2058,2028,2056,2039,2055,2026,2031,2063,2030,2054,2027,2037,2032,2043,2022,2017,174,169,163,177,189,179,172,153,149,185,166,173,175,148,188,170,168,176,178,190,157,162,192,151,181,161,147,180,146,187,164,152,186,156,184,167,183,154,159,191,158,182,155,165,160,171,150,145,1182,1177,1171,1185,1197,1187,1180,1161,1157,1193,1174,1181,1183,1156,1196,1178,1176,1184,1186,1198,1165,1170,1200,1159,1189,1169,1155,1188,1154,1195,1172,1160,1194,1164,1192,1175,1191,1162,1167,1199,1166,1190,1163,1173,1168,1179,1158,1153,1086,1081,1075,1089,1101,1091,1084,1065,1061,1097,1078,1085,1087,1060,1100,1082,1080,1088,1090,1102,1069,1074,1104,1063,1093,1073,1059,1092,1058,1099,1076,1064,1098,1068,1096,1079,1095,1066,1071,1103,1070,1094,1067,1077,1072,1083,1062,1057,1422,1417,1411,1425,1437,1427,1420,1401,1397,1433,1414,1421,1423,1396,1436,1418,1416,1424,1426,1438,1405,1410,1440,1399,1429,1409,1395,1428,1394,1435,1412,1400,1434,1404,1432,1415,1431,1402,1407,1439,1406,1430,1403,1413,1408,1419,1398,1393}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
28

1

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

Returns: "1111111111111111111111111111"
4

26

{11,5,26,4,3,8,7,12,20,21,19,9,22,15,23,1,16,17,10,24,6,14,18,25,2,13,63,57,78,56,55,60,59,64,72,73,71,61,74,67,75,53,68,69,62,76,58,66,70,77,54,65,89,83,104,82,81,86,85,90,98,99,97,87,100,93,101,79,94,95,88,102,84,92,96,103,80,91,37,31,52,30,29,34,33,38,46,47,45,35,48,41,49,27,42,43,36,50,32,40,44,51,28,39}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
38

16

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

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
47

37

{1273,1271,1274,1275,1281,1277,1294,1279,1284,1288,1290,1282,1283,1270,1272,1262,1276,1292,1260,1295,1263,1286,1278,1266,1264,1269,1287,1261,1285,1293,1268,1267,1259,1265,1289,1291,1280,1347,1345,1348,1349,1355,1351,1368,1353,1358,1362,1364,1356,1357,1344,1346,1336,1350,1366,1334,1369,1337,1360,1352,1340,1338,1343,1361,1335,1359,1367,1342,1341,1333,1339,1363,1365,1354,792,790,793,794,800,796,813,798,803,807,809,801,802,789,791,781,795,811,779,814,782,805,797,785,783,788,806,780,804,812,787,786,778,784,808,810,799,1014,1012,1015,1016,1022,1018,1035,1020,1025,1029,1031,1023,1024,1011,1013,1003,1017,1033,1001,1036,1004,1027,1019,1007,1005,1010,1028,1002,1026,1034,1009,1008,1000,1006,1030,1032,1021,866,864,867,868,874,870,887,872,877,881,883,875,876,863,865,855,869,885,853,888,856,879,871,859,857,862,880,854,878,886,861,860,852,858,882,884,873,1495,1493,1496,1497,1503,1499,1516,1501,1506,1510,1512,1504,1505,1492,1494,1484,1498,1514,1482,1517,1485,1508,1500,1488,1486,1491,1509,1483,1507,1515,1490,1489,1481,1487,1511,1513,1502,1421,1419,1422,1423,1429,1425,1442,1427,1432,1436,1438,1430,1431,1418,1420,1410,1424,1440,1408,1443,1411,1434,1426,1414,1412,1417,1435,1409,1433,1441,1416,1415,1407,1413,1437,1439,1428,570,568,571,572,578,574,591,576,581,585,587,579,580,567,569,559,573,589,557,592,560,583,575,563,561,566,584,558,582,590,565,564,556,562,586,588,577,1088,1086,1089,1090,1096,1092,1109,1094,1099,1103,1105,1097,1098,1085,1087,1077,1091,1107,1075,1110,1078,1101,1093,1081,1079,1084,1102,1076,1100,1108,1083,1082,1074,1080,1104,1106,1095,163,161,164,165,171,167,184,169,174,178,180,172,173,160,162,152,166,182,150,185,153,176,168,156,154,159,177,151,175,183,158,157,149,155,179,181,170,1606,1604,1607,1608,1614,1610,1627,1612,1617,1621,1623,1615,1616,1603,1605,1595,1609,1625,1593,1628,1596,1619,1611,1599,1597,1602,1620,1594,1618,1626,1601,1600,1592,1598,1622,1624,1613,459,457,460,461,467,463,480,465,470,474,476,468,469,456,458,448,462,478,446,481,449,472,464,452,450,455,473,447,471,479,454,453,445,451,475,477,466,422,420,423,424,430,426,443,428,433,437,439,431,432,419,421,411,425,441,409,444,412,435,427,415,413,418,436,410,434,442,417,416,408,414,438,440,429,607,605,608,609,615,611,628,613,618,622,624,616,617,604,606,596,610,626,594,629,597,620,612,600,598,603,621,595,619,627,602,601,593,599,623,625,614,1125,1123,1126,1127,1133,1129,1146,1131,1136,1140,1142,1134,1135,1122,1124,1114,1128,1144,1112,1147,1115,1138,1130,1118,1116,1121,1139,1113,1137,1145,1120,1119,1111,1117,1141,1143,1132,1236,1234,1237,1238,1244,1240,1257,1242,1247,1251,1253,1245,1246,1233,1235,1225,1239,1255,1223,1258,1226,1249,1241,1229,1227,1232,1250,1224,1248,1256,1231,1230,1222,1228,1252,1254,1243,52,50,53,54,60,56,73,58,63,67,69,61,62,49,51,41,55,71,39,74,42,65,57,45,43,48,66,40,64,72,47,46,38,44,68,70,59,903,901,904,905,911,907,924,909,914,918,920,912,913,900,902,892,906,922,890,925,893,916,908,896,894,899,917,891,915,923,898,897,889,895,919,921,910,200,198,201,202,208,204,221,206,211,215,217,209,210,197,199,189,203,219,187,222,190,213,205,193,191,196,214,188,212,220,195,194,186,192,216,218,207,1569,1567,1570,1571,1577,1573,1590,1575,1580,1584,1586,1578,1579,1566,1568,1558,1572,1588,1556,1591,1559,1582,1574,1562,1560,1565,1583,1557,1581,1589,1564,1563,1555,1561,1585,1587,1576,681,679,682,683,689,685,702,687,692,696,698,690,691,678,680,670,684,700,668,703,671,694,686,674,672,677,695,669,693,701,676,675,667,673,697,699,688,1384,1382,1385,1386,1392,1388,1405,1390,1395,1399,1401,1393,1394,1381,1383,1373,1387,1403,1371,1406,1374,1397,1389,1377,1375,1380,1398,1372,1396,1404,1379,1378,1370,1376,1400,1402,1391,237,235,238,239,245,241,258,243,248,252,254,246,247,234,236,226,240,256,224,259,227,250,242,230,228,233,251,225,249,257,232,231,223,229,253,255,244,977,975,978,979,985,981,998,983,988,992,994,986,987,974,976,966,980,996,964,999,967,990,982,970,968,973,991,965,989,997,972,971,963,969,993,995,984,1310,1308,1311,1312,1318,1314,1331,1316,1321,1325,1327,1319,1320,1307,1309,1299,1313,1329,1297,1332,1300,1323,1315,1303,1301,1306,1324,1298,1322,1330,1305,1304,1296,1302,1326,1328,1317,644,642,645,646,652,648,665,650,655,659,661,653,654,641,643,633,647,663,631,666,634,657,649,637,635,640,658,632,656,664,639,638,630,636,660,662,651,311,309,312,313,319,315,332,317,322,326,328,320,321,308,310,300,314,330,298,333,301,324,316,304,302,307,325,299,323,331,306,305,297,303,327,329,318,1162,1160,1163,1164,1170,1166,1183,1168,1173,1177,1179,1171,1172,1159,1161,1151,1165,1181,1149,1184,1152,1175,1167,1155,1153,1158,1176,1150,1174,1182,1157,1156,1148,1154,1178,1180,1169,385,383,386,387,393,389,406,391,396,400,402,394,395,382,384,374,388,404,372,407,375,398,390,378,376,381,399,373,397,405,380,379,371,377,401,403,392,496,494,497,498,504,500,517,502,507,511,513,505,506,493,495,485,499,515,483,518,486,509,501,489,487,492,510,484,508,516,491,490,482,488,512,514,503,1680,1678,1681,1682,1688,1684,1701,1686,1691,1695,1697,1689,1690,1677,1679,1669,1683,1699,1667,1702,1670,1693,1685,1673,1671,1676,1694,1668,1692,1700,1675,1674,1666,1672,1696,1698,1687,755,753,756,757,763,759,776,761,766,770,772,764,765,752,754,744,758,774,742,777,745,768,760,748,746,751,769,743,767,775,750,749,741,747,771,773,762,533,531,534,535,541,537,554,539,544,548,550,542,543,530,532,522,536,552,520,555,523,546,538,526,524,529,547,521,545,553,528,527,519,525,549,551,540,274,272,275,276,282,278,295,280,285,289,291,283,284,271,273,263,277,293,261,296,264,287,279,267,265,270,288,262,286,294,269,268,260,266,290,292,281,829,827,830,831,837,833,850,835,840,844,846,838,839,826,828,818,832,848,816,851,819,842,834,822,820,825,843,817,841,849,824,823,815,821,845,847,836,1643,1641,1644,1645,1651,1647,1664,1649,1654,1658,1660,1652,1653,1640,1642,1632,1646,1662,1630,1665,1633,1656,1648,1636,1634,1639,1657,1631,1655,1663,1638,1637,1629,1635,1659,1661,1650,348,346,349,350,356,352,369,354,359,363,365,357,358,345,347,337,351,367,335,370,338,361,353,341,339,344,362,336,360,368,343,342,334,340,364,366,355,1717,1715,1718,1719,1725,1721,1738,1723,1728,1732,1734,1726,1727,1714,1716,1706,1720,1736,1704,1739,1707,1730,1722,1710,1708,1713,1731,1705,1729,1737,1712,1711,1703,1709,1733,1735,1724,1199,1197,1200,1201,1207,1203,1220,1205,1210,1214,1216,1208,1209,1196,1198,1188,1202,1218,1186,1221,1189,1212,1204,1192,1190,1195,1213,1187,1211,1219,1194,1193,1185,1191,1215,1217,1206,1532,1530,1533,1534,1540,1536,1553,1538,1543,1547,1549,1541,1542,1529,1531,1521,1535,1551,1519,1554,1522,1545,1537,1525,1523,1528,1546,1520,1544,1552,1527,1526,1518,1524,1548,1550,1539,940,938,941,942,948,944,961,946,951,955,957,949,950,937,939,929,943,959,927,962,930,953,945,933,931,936,954,928,952,960,935,934,926,932,956,958,947,89,87,90,91,97,93,110,95,100,104,106,98,99,86,88,78,92,108,76,111,79,102,94,82,80,85,103,77,101,109,84,83,75,81,105,107,96,15,13,16,17,23,19,36,21,26,30,32,24,25,12,14,4,18,34,2,37,5,28,20,8,6,11,29,3,27,35,10,9,1,7,31,33,22,718,716,719,720,726,722,739,724,729,733,735,727,728,715,717,707,721,737,705,740,708,731,723,711,709,714,732,706,730,738,713,712,704,710,734,736,725,1458,1456,1459,1460,1466,1462,1479,1464,1469,1473,1475,1467,1468,1455,1457,1447,1461,1477,1445,1480,1448,1471,1463,1451,1449,1454,1472,1446,1470,1478,1453,1452,1444,1450,1474,1476,1465,126,124,127,128,134,130,147,132,137,141,143,135,136,123,125,115,129,145,113,148,116,139,131,119,117,122,140,114,138,146,121,120,112,118,142,144,133,1051,1049,1052,1053,1059,1055,1072,1057,1062,1066,1068,1060,1061,1048,1050,1040,1054,1070,1038,1073,1041,1064,1056,1044,1042,1047,1065,1039,1063,1071,1046,1045,1037,1043,1067,1069,1058}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
34

12

{66,64,61,63,72,67,65,69,68,70,62,71,366,364,361,363,372,367,365,369,368,370,362,371,162,160,157,159,168,163,161,165,164,166,158,167,30,28,25,27,36,31,29,33,32,34,26,35,354,352,349,351,360,355,353,357,356,358,350,359,174,172,169,171,180,175,173,177,176,178,170,179,246,244,241,243,252,247,245,249,248,250,242,251,18,16,13,15,24,19,17,21,20,22,14,23,210,208,205,207,216,211,209,213,212,214,206,215,102,100,97,99,108,103,101,105,104,106,98,107,270,268,265,267,276,271,269,273,272,274,266,275,42,40,37,39,48,43,41,45,44,46,38,47,378,376,373,375,384,379,377,381,380,382,374,383,234,232,229,231,240,235,233,237,236,238,230,239,138,136,133,135,144,139,137,141,140,142,134,143,342,340,337,339,348,343,341,345,344,346,338,347,126,124,121,123,132,127,125,129,128,130,122,131,258,256,253,255,264,259,257,261,260,262,254,263,186,184,181,183,192,187,185,189,188,190,182,191,390,388,385,387,396,391,389,393,392,394,386,395,282,280,277,279,288,283,281,285,284,286,278,287,150,148,145,147,156,151,149,153,152,154,146,155,198,196,193,195,204,199,197,201,200,202,194,203,6,4,1,3,12,7,5,9,8,10,2,11,402,400,397,399,408,403,401,405,404,406,398,407,222,220,217,219,228,223,221,225,224,226,218,227,90,88,85,87,96,91,89,93,92,94,86,95,306,304,301,303,312,307,305,309,308,310,302,311,78,76,73,75,84,79,77,81,80,82,74,83,330,328,325,327,336,331,329,333,332,334,326,335,318,316,313,315,324,319,317,321,320,322,314,323,294,292,289,291,300,295,293,297,296,298,290,299,54,52,49,51,60,55,53,57,56,58,50,59,114,112,109,111,120,115,113,117,116,118,110,119}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
24

40

{794,784,773,772,790,770,771,775,779,768,786,767,797,796,765,762,792,785,761,774,781,788,783,778,789,787,776,769,793,763,766,764,795,798,799,780,777,782,791,800,674,664,653,652,670,650,651,655,659,648,666,647,677,676,645,642,672,665,641,654,661,668,663,658,669,667,656,649,673,643,646,644,675,678,679,660,657,662,671,680,194,184,173,172,190,170,171,175,179,168,186,167,197,196,165,162,192,185,161,174,181,188,183,178,189,187,176,169,193,163,166,164,195,198,199,180,177,182,191,200,474,464,453,452,470,450,451,455,459,448,466,447,477,476,445,442,472,465,441,454,461,468,463,458,469,467,456,449,473,443,446,444,475,478,479,460,457,462,471,480,314,304,293,292,310,290,291,295,299,288,306,287,317,316,285,282,312,305,281,294,301,308,303,298,309,307,296,289,313,283,286,284,315,318,319,300,297,302,311,320,394,384,373,372,390,370,371,375,379,368,386,367,397,396,365,362,392,385,361,374,381,388,383,378,389,387,376,369,393,363,366,364,395,398,399,380,377,382,391,400,274,264,253,252,270,250,251,255,259,248,266,247,277,276,245,242,272,265,241,254,261,268,263,258,269,267,256,249,273,243,246,244,275,278,279,260,257,262,271,280,834,824,813,812,830,810,811,815,819,808,826,807,837,836,805,802,832,825,801,814,821,828,823,818,829,827,816,809,833,803,806,804,835,838,839,820,817,822,831,840,514,504,493,492,510,490,491,495,499,488,506,487,517,516,485,482,512,505,481,494,501,508,503,498,509,507,496,489,513,483,486,484,515,518,519,500,497,502,511,520,74,64,53,52,70,50,51,55,59,48,66,47,77,76,45,42,72,65,41,54,61,68,63,58,69,67,56,49,73,43,46,44,75,78,79,60,57,62,71,80,114,104,93,92,110,90,91,95,99,88,106,87,117,116,85,82,112,105,81,94,101,108,103,98,109,107,96,89,113,83,86,84,115,118,119,100,97,102,111,120,914,904,893,892,910,890,891,895,899,888,906,887,917,916,885,882,912,905,881,894,901,908,903,898,909,907,896,889,913,883,886,884,915,918,919,900,897,902,911,920,434,424,413,412,430,410,411,415,419,408,426,407,437,436,405,402,432,425,401,414,421,428,423,418,429,427,416,409,433,403,406,404,435,438,439,420,417,422,431,440,714,704,693,692,710,690,691,695,699,688,706,687,717,716,685,682,712,705,681,694,701,708,703,698,709,707,696,689,713,683,686,684,715,718,719,700,697,702,711,720,34,24,13,12,30,10,11,15,19,8,26,7,37,36,5,2,32,25,1,14,21,28,23,18,29,27,16,9,33,3,6,4,35,38,39,20,17,22,31,40,154,144,133,132,150,130,131,135,139,128,146,127,157,156,125,122,152,145,121,134,141,148,143,138,149,147,136,129,153,123,126,124,155,158,159,140,137,142,151,160,554,544,533,532,550,530,531,535,539,528,546,527,557,556,525,522,552,545,521,534,541,548,543,538,549,547,536,529,553,523,526,524,555,558,559,540,537,542,551,560,874,864,853,852,870,850,851,855,859,848,866,847,877,876,845,842,872,865,841,854,861,868,863,858,869,867,856,849,873,843,846,844,875,878,879,860,857,862,871,880,354,344,333,332,350,330,331,335,339,328,346,327,357,356,325,322,352,345,321,334,341,348,343,338,349,347,336,329,353,323,326,324,355,358,359,340,337,342,351,360,234,224,213,212,230,210,211,215,219,208,226,207,237,236,205,202,232,225,201,214,221,228,223,218,229,227,216,209,233,203,206,204,235,238,239,220,217,222,231,240,954,944,933,932,950,930,931,935,939,928,946,927,957,956,925,922,952,945,921,934,941,948,943,938,949,947,936,929,953,923,926,924,955,958,959,940,937,942,951,960,594,584,573,572,590,570,571,575,579,568,586,567,597,596,565,562,592,585,561,574,581,588,583,578,589,587,576,569,593,563,566,564,595,598,599,580,577,582,591,600,754,744,733,732,750,730,731,735,739,728,746,727,757,756,725,722,752,745,721,734,741,748,743,738,749,747,736,729,753,723,726,724,755,758,759,740,737,742,751,760,634,624,613,612,630,610,611,615,619,608,626,607,637,636,605,602,632,625,601,614,621,628,623,618,629,627,616,609,633,603,606,604,635,638,639,620,617,622,631,640}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
47

35

{20,16,21,29,32,12,3,35,9,33,28,15,8,18,7,2,11,34,26,6,1,4,13,30,5,10,14,31,27,23,19,24,17,22,25,1175,1171,1176,1184,1187,1167,1158,1190,1164,1188,1183,1170,1163,1173,1162,1157,1166,1189,1181,1161,1156,1159,1168,1185,1160,1165,1169,1186,1182,1178,1174,1179,1172,1177,1180,1280,1276,1281,1289,1292,1272,1263,1295,1269,1293,1288,1275,1268,1278,1267,1262,1271,1294,1286,1266,1261,1264,1273,1290,1265,1270,1274,1291,1287,1283,1279,1284,1277,1282,1285,370,366,371,379,382,362,353,385,359,383,378,365,358,368,357,352,361,384,376,356,351,354,363,380,355,360,364,381,377,373,369,374,367,372,375,1035,1031,1036,1044,1047,1027,1018,1050,1024,1048,1043,1030,1023,1033,1022,1017,1026,1049,1041,1021,1016,1019,1028,1045,1020,1025,1029,1046,1042,1038,1034,1039,1032,1037,1040,1525,1521,1526,1534,1537,1517,1508,1540,1514,1538,1533,1520,1513,1523,1512,1507,1516,1539,1531,1511,1506,1509,1518,1535,1510,1515,1519,1536,1532,1528,1524,1529,1522,1527,1530,405,401,406,414,417,397,388,420,394,418,413,400,393,403,392,387,396,419,411,391,386,389,398,415,390,395,399,416,412,408,404,409,402,407,410,1350,1346,1351,1359,1362,1342,1333,1365,1339,1363,1358,1345,1338,1348,1337,1332,1341,1364,1356,1336,1331,1334,1343,1360,1335,1340,1344,1361,1357,1353,1349,1354,1347,1352,1355,720,716,721,729,732,712,703,735,709,733,728,715,708,718,707,702,711,734,726,706,701,704,713,730,705,710,714,731,727,723,719,724,717,722,725,825,821,826,834,837,817,808,840,814,838,833,820,813,823,812,807,816,839,831,811,806,809,818,835,810,815,819,836,832,828,824,829,822,827,830,580,576,581,589,592,572,563,595,569,593,588,575,568,578,567,562,571,594,586,566,561,564,573,590,565,570,574,591,587,583,579,584,577,582,585,1420,1416,1421,1429,1432,1412,1403,1435,1409,1433,1428,1415,1408,1418,1407,1402,1411,1434,1426,1406,1401,1404,1413,1430,1405,1410,1414,1431,1427,1423,1419,1424,1417,1422,1425,335,331,336,344,347,327,318,350,324,348,343,330,323,333,322,317,326,349,341,321,316,319,328,345,320,325,329,346,342,338,334,339,332,337,340,895,891,896,904,907,887,878,910,884,908,903,890,883,893,882,877,886,909,901,881,876,879,888,905,880,885,889,906,902,898,894,899,892,897,900,1000,996,1001,1009,1012,992,983,1015,989,1013,1008,995,988,998,987,982,991,1014,1006,986,981,984,993,1010,985,990,994,1011,1007,1003,999,1004,997,1002,1005,1595,1591,1596,1604,1607,1587,1578,1610,1584,1608,1603,1590,1583,1593,1582,1577,1586,1609,1601,1581,1576,1579,1588,1605,1580,1585,1589,1606,1602,1598,1594,1599,1592,1597,1600,1455,1451,1456,1464,1467,1447,1438,1470,1444,1468,1463,1450,1443,1453,1442,1437,1446,1469,1461,1441,1436,1439,1448,1465,1440,1445,1449,1466,1462,1458,1454,1459,1452,1457,1460,1630,1626,1631,1639,1642,1622,1613,1645,1619,1643,1638,1625,1618,1628,1617,1612,1621,1644,1636,1616,1611,1614,1623,1640,1615,1620,1624,1641,1637,1633,1629,1634,1627,1632,1635,1490,1486,1491,1499,1502,1482,1473,1505,1479,1503,1498,1485,1478,1488,1477,1472,1481,1504,1496,1476,1471,1474,1483,1500,1475,1480,1484,1501,1497,1493,1489,1494,1487,1492,1495,860,856,861,869,872,852,843,875,849,873,868,855,848,858,847,842,851,874,866,846,841,844,853,870,845,850,854,871,867,863,859,864,857,862,865,755,751,756,764,767,747,738,770,744,768,763,750,743,753,742,737,746,769,761,741,736,739,748,765,740,745,749,766,762,758,754,759,752,757,760,1105,1101,1106,1114,1117,1097,1088,1120,1094,1118,1113,1100,1093,1103,1092,1087,1096,1119,1111,1091,1086,1089,1098,1115,1090,1095,1099,1116,1112,1108,1104,1109,1102,1107,1110,230,226,231,239,242,222,213,245,219,243,238,225,218,228,217,212,221,244,236,216,211,214,223,240,215,220,224,241,237,233,229,234,227,232,235,1140,1136,1141,1149,1152,1132,1123,1155,1129,1153,1148,1135,1128,1138,1127,1122,1131,1154,1146,1126,1121,1124,1133,1150,1125,1130,1134,1151,1147,1143,1139,1144,1137,1142,1145,650,646,651,659,662,642,633,665,639,663,658,645,638,648,637,632,641,664,656,636,631,634,643,660,635,640,644,661,657,653,649,654,647,652,655,55,51,56,64,67,47,38,70,44,68,63,50,43,53,42,37,46,69,61,41,36,39,48,65,40,45,49,66,62,58,54,59,52,57,60,615,611,616,624,627,607,598,630,604,628,623,610,603,613,602,597,606,629,621,601,596,599,608,625,600,605,609,626,622,618,614,619,612,617,620,545,541,546,554,557,537,528,560,534,558,553,540,533,543,532,527,536,559,551,531,526,529,538,555,530,535,539,556,552,548,544,549,542,547,550,160,156,161,169,172,152,143,175,149,173,168,155,148,158,147,142,151,174,166,146,141,144,153,170,145,150,154,171,167,163,159,164,157,162,165,930,926,931,939,942,922,913,945,919,943,938,925,918,928,917,912,921,944,936,916,911,914,923,940,915,920,924,941,937,933,929,934,927,932,935,265,261,266,274,277,257,248,280,254,278,273,260,253,263,252,247,256,279,271,251,246,249,258,275,250,255,259,276,272,268,264,269,262,267,270,1245,1241,1246,1254,1257,1237,1228,1260,1234,1258,1253,1240,1233,1243,1232,1227,1236,1259,1251,1231,1226,1229,1238,1255,1230,1235,1239,1256,1252,1248,1244,1249,1242,1247,1250,1315,1311,1316,1324,1327,1307,1298,1330,1304,1328,1323,1310,1303,1313,1302,1297,1306,1329,1321,1301,1296,1299,1308,1325,1300,1305,1309,1326,1322,1318,1314,1319,1312,1317,1320,790,786,791,799,802,782,773,805,779,803,798,785,778,788,777,772,781,804,796,776,771,774,783,800,775,780,784,801,797,793,789,794,787,792,795,1070,1066,1071,1079,1082,1062,1053,1085,1059,1083,1078,1065,1058,1068,1057,1052,1061,1084,1076,1056,1051,1054,1063,1080,1055,1060,1064,1081,1077,1073,1069,1074,1067,1072,1075,440,436,441,449,452,432,423,455,429,453,448,435,428,438,427,422,431,454,446,426,421,424,433,450,425,430,434,451,447,443,439,444,437,442,445,685,681,686,694,697,677,668,700,674,698,693,680,673,683,672,667,676,699,691,671,666,669,678,695,670,675,679,696,692,688,684,689,682,687,690,90,86,91,99,102,82,73,105,79,103,98,85,78,88,77,72,81,104,96,76,71,74,83,100,75,80,84,101,97,93,89,94,87,92,95,125,121,126,134,137,117,108,140,114,138,133,120,113,123,112,107,116,139,131,111,106,109,118,135,110,115,119,136,132,128,124,129,122,127,130,195,191,196,204,207,187,178,210,184,208,203,190,183,193,182,177,186,209,201,181,176,179,188,205,180,185,189,206,202,198,194,199,192,197,200,510,506,511,519,522,502,493,525,499,523,518,505,498,508,497,492,501,524,516,496,491,494,503,520,495,500,504,521,517,513,509,514,507,512,515,300,296,301,309,312,292,283,315,289,313,308,295,288,298,287,282,291,314,306,286,281,284,293,310,285,290,294,311,307,303,299,304,297,302,305,965,961,966,974,977,957,948,980,954,978,973,960,953,963,952,947,956,979,971,951,946,949,958,975,950,955,959,976,972,968,964,969,962,967,970,1210,1206,1211,1219,1222,1202,1193,1225,1199,1223,1218,1205,1198,1208,1197,1192,1201,1224,1216,1196,1191,1194,1203,1220,1195,1200,1204,1221,1217,1213,1209,1214,1207,1212,1215,1385,1381,1386,1394,1397,1377,1368,1400,1374,1398,1393,1380,1373,1383,1372,1367,1376,1399,1391,1371,1366,1369,1378,1395,1370,1375,1379,1396,1392,1388,1384,1389,1382,1387,1390,1560,1556,1561,1569,1572,1552,1543,1575,1549,1573,1568,1555,1548,1558,1547,1542,1551,1574,1566,1546,1541,1544,1553,1570,1545,1550,1554,1571,1567,1563,1559,1564,1557,1562,1565,475,471,476,484,487,467,458,490,464,488,483,470,463,473,462,457,466,489,481,461,456,459,468,485,460,465,469,486,482,478,474,479,472,477,480}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
14

14

{58,59,67,70,64,65,62,69,57,61,66,60,63,68,128,129,137,140,134,135,132,139,127,131,136,130,133,138,100,101,109,112,106,107,104,111,99,103,108,102,105,110,16,17,25,28,22,23,20,27,15,19,24,18,21,26,156,157,165,168,162,163,160,167,155,159,164,158,161,166,114,115,123,126,120,121,118,125,113,117,122,116,119,124,142,143,151,154,148,149,146,153,141,145,150,144,147,152,184,185,193,196,190,191,188,195,183,187,192,186,189,194,170,171,179,182,176,177,174,181,169,173,178,172,175,180,2,3,11,14,8,9,6,13,1,5,10,4,7,12,86,87,95,98,92,93,90,97,85,89,94,88,91,96,30,31,39,42,36,37,34,41,29,33,38,32,35,40,44,45,53,56,50,51,48,55,43,47,52,46,49,54,72,73,81,84,78,79,76,83,71,75,80,74,77,82}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

50

{157,188,199,153,195,151,156,161,184,159,183,191,165,177,187,200,152,190,167,181,193,174,179,172,196,163,171,175,180,192,158,176,189,194,173,168,154,182,162,185,178,197,166,155,160,164,169,198,170,186,2357,2388,2399,2353,2395,2351,2356,2361,2384,2359,2383,2391,2365,2377,2387,2400,2352,2390,2367,2381,2393,2374,2379,2372,2396,2363,2371,2375,2380,2392,2358,2376,2389,2394,2373,2368,2354,2382,2362,2385,2378,2397,2366,2355,2360,2364,2369,2398,2370,2386,2157,2188,2199,2153,2195,2151,2156,2161,2184,2159,2183,2191,2165,2177,2187,2200,2152,2190,2167,2181,2193,2174,2179,2172,2196,2163,2171,2175,2180,2192,2158,2176,2189,2194,2173,2168,2154,2182,2162,2185,2178,2197,2166,2155,2160,2164,2169,2198,2170,2186,1657,1688,1699,1653,1695,1651,1656,1661,1684,1659,1683,1691,1665,1677,1687,1700,1652,1690,1667,1681,1693,1674,1679,1672,1696,1663,1671,1675,1680,1692,1658,1676,1689,1694,1673,1668,1654,1682,1662,1685,1678,1697,1666,1655,1660,1664,1669,1698,1670,1686,1707,1738,1749,1703,1745,1701,1706,1711,1734,1709,1733,1741,1715,1727,1737,1750,1702,1740,1717,1731,1743,1724,1729,1722,1746,1713,1721,1725,1730,1742,1708,1726,1739,1744,1723,1718,1704,1732,1712,1735,1728,1747,1716,1705,1710,1714,1719,1748,1720,1736,307,338,349,303,345,301,306,311,334,309,333,341,315,327,337,350,302,340,317,331,343,324,329,322,346,313,321,325,330,342,308,326,339,344,323,318,304,332,312,335,328,347,316,305,310,314,319,348,320,336,2057,2088,2099,2053,2095,2051,2056,2061,2084,2059,2083,2091,2065,2077,2087,2100,2052,2090,2067,2081,2093,2074,2079,2072,2096,2063,2071,2075,2080,2092,2058,2076,2089,2094,2073,2068,2054,2082,2062,2085,2078,2097,2066,2055,2060,2064,2069,2098,2070,2086,407,438,449,403,445,401,406,411,434,409,433,441,415,427,437,450,402,440,417,431,443,424,429,422,446,413,421,425,430,442,408,426,439,444,423,418,404,432,412,435,428,447,416,405,410,414,419,448,420,436,557,588,599,553,595,551,556,561,584,559,583,591,565,577,587,600,552,590,567,581,593,574,579,572,596,563,571,575,580,592,558,576,589,594,573,568,554,582,562,585,578,597,566,555,560,564,569,598,570,586,1757,1788,1799,1753,1795,1751,1756,1761,1784,1759,1783,1791,1765,1777,1787,1800,1752,1790,1767,1781,1793,1774,1779,1772,1796,1763,1771,1775,1780,1792,1758,1776,1789,1794,1773,1768,1754,1782,1762,1785,1778,1797,1766,1755,1760,1764,1769,1798,1770,1786,1157,1188,1199,1153,1195,1151,1156,1161,1184,1159,1183,1191,1165,1177,1187,1200,1152,1190,1167,1181,1193,1174,1179,1172,1196,1163,1171,1175,1180,1192,1158,1176,1189,1194,1173,1168,1154,1182,1162,1185,1178,1197,1166,1155,1160,1164,1169,1198,1170,1186,2107,2138,2149,2103,2145,2101,2106,2111,2134,2109,2133,2141,2115,2127,2137,2150,2102,2140,2117,2131,2143,2124,2129,2122,2146,2113,2121,2125,2130,2142,2108,2126,2139,2144,2123,2118,2104,2132,2112,2135,2128,2147,2116,2105,2110,2114,2119,2148,2120,2136,257,288,299,253,295,251,256,261,284,259,283,291,265,277,287,300,252,290,267,281,293,274,279,272,296,263,271,275,280,292,258,276,289,294,273,268,254,282,262,285,278,297,266,255,260,264,269,298,270,286,1107,1138,1149,1103,1145,1101,1106,1111,1134,1109,1133,1141,1115,1127,1137,1150,1102,1140,1117,1131,1143,1124,1129,1122,1146,1113,1121,1125,1130,1142,1108,1126,1139,1144,1123,1118,1104,1132,1112,1135,1128,1147,1116,1105,1110,1114,1119,1148,1120,1136,907,938,949,903,945,901,906,911,934,909,933,941,915,927,937,950,902,940,917,931,943,924,929,922,946,913,921,925,930,942,908,926,939,944,923,918,904,932,912,935,928,947,916,905,910,914,919,948,920,936,1307,1338,1349,1303,1345,1301,1306,1311,1334,1309,1333,1341,1315,1327,1337,1350,1302,1340,1317,1331,1343,1324,1329,1322,1346,1313,1321,1325,1330,1342,1308,1326,1339,1344,1323,1318,1304,1332,1312,1335,1328,1347,1316,1305,1310,1314,1319,1348,1320,1336,1007,1038,1049,1003,1045,1001,1006,1011,1034,1009,1033,1041,1015,1027,1037,1050,1002,1040,1017,1031,1043,1024,1029,1022,1046,1013,1021,1025,1030,1042,1008,1026,1039,1044,1023,1018,1004,1032,1012,1035,1028,1047,1016,1005,1010,1014,1019,1048,1020,1036,1907,1938,1949,1903,1945,1901,1906,1911,1934,1909,1933,1941,1915,1927,1937,1950,1902,1940,1917,1931,1943,1924,1929,1922,1946,1913,1921,1925,1930,1942,1908,1926,1939,1944,1923,1918,1904,1932,1912,1935,1928,1947,1916,1905,1910,1914,1919,1948,1920,1936,857,888,899,853,895,851,856,861,884,859,883,891,865,877,887,900,852,890,867,881,893,874,879,872,896,863,871,875,880,892,858,876,889,894,873,868,854,882,862,885,878,897,866,855,860,864,869,898,870,886,357,388,399,353,395,351,356,361,384,359,383,391,365,377,387,400,352,390,367,381,393,374,379,372,396,363,371,375,380,392,358,376,389,394,373,368,354,382,362,385,378,397,366,355,360,364,369,398,370,386,707,738,749,703,745,701,706,711,734,709,733,741,715,727,737,750,702,740,717,731,743,724,729,722,746,713,721,725,730,742,708,726,739,744,723,718,704,732,712,735,728,747,716,705,710,714,719,748,720,736,7,38,49,3,45,1,6,11,34,9,33,41,15,27,37,50,2,40,17,31,43,24,29,22,46,13,21,25,30,42,8,26,39,44,23,18,4,32,12,35,28,47,16,5,10,14,19,48,20,36,957,988,999,953,995,951,956,961,984,959,983,991,965,977,987,1000,952,990,967,981,993,974,979,972,996,963,971,975,980,992,958,976,989,994,973,968,954,982,962,985,978,997,966,955,960,964,969,998,970,986,2407,2438,2449,2403,2445,2401,2406,2411,2434,2409,2433,2441,2415,2427,2437,2450,2402,2440,2417,2431,2443,2424,2429,2422,2446,2413,2421,2425,2430,2442,2408,2426,2439,2444,2423,2418,2404,2432,2412,2435,2428,2447,2416,2405,2410,2414,2419,2448,2420,2436,1207,1238,1249,1203,1245,1201,1206,1211,1234,1209,1233,1241,1215,1227,1237,1250,1202,1240,1217,1231,1243,1224,1229,1222,1246,1213,1221,1225,1230,1242,1208,1226,1239,1244,1223,1218,1204,1232,1212,1235,1228,1247,1216,1205,1210,1214,1219,1248,1220,1236,1057,1088,1099,1053,1095,1051,1056,1061,1084,1059,1083,1091,1065,1077,1087,1100,1052,1090,1067,1081,1093,1074,1079,1072,1096,1063,1071,1075,1080,1092,1058,1076,1089,1094,1073,1068,1054,1082,1062,1085,1078,1097,1066,1055,1060,1064,1069,1098,1070,1086,1807,1838,1849,1803,1845,1801,1806,1811,1834,1809,1833,1841,1815,1827,1837,1850,1802,1840,1817,1831,1843,1824,1829,1822,1846,1813,1821,1825,1830,1842,1808,1826,1839,1844,1823,1818,1804,1832,1812,1835,1828,1847,1816,1805,1810,1814,1819,1848,1820,1836,1357,1388,1399,1353,1395,1351,1356,1361,1384,1359,1383,1391,1365,1377,1387,1400,1352,1390,1367,1381,1393,1374,1379,1372,1396,1363,1371,1375,1380,1392,1358,1376,1389,1394,1373,1368,1354,1382,1362,1385,1378,1397,1366,1355,1360,1364,1369,1398,1370,1386,57,88,99,53,95,51,56,61,84,59,83,91,65,77,87,100,52,90,67,81,93,74,79,72,96,63,71,75,80,92,58,76,89,94,73,68,54,82,62,85,78,97,66,55,60,64,69,98,70,86,457,488,499,453,495,451,456,461,484,459,483,491,465,477,487,500,452,490,467,481,493,474,479,472,496,463,471,475,480,492,458,476,489,494,473,468,454,482,462,485,478,497,466,455,460,464,469,498,470,486,607,638,649,603,645,601,606,611,634,609,633,641,615,627,637,650,602,640,617,631,643,624,629,622,646,613,621,625,630,642,608,626,639,644,623,618,604,632,612,635,628,647,616,605,610,614,619,648,620,636,1457,1488,1499,1453,1495,1451,1456,1461,1484,1459,1483,1491,1465,1477,1487,1500,1452,1490,1467,1481,1493,1474,1479,1472,1496,1463,1471,1475,1480,1492,1458,1476,1489,1494,1473,1468,1454,1482,1462,1485,1478,1497,1466,1455,1460,1464,1469,1498,1470,1486,1507,1538,1549,1503,1545,1501,1506,1511,1534,1509,1533,1541,1515,1527,1537,1550,1502,1540,1517,1531,1543,1524,1529,1522,1546,1513,1521,1525,1530,1542,1508,1526,1539,1544,1523,1518,1504,1532,1512,1535,1528,1547,1516,1505,1510,1514,1519,1548,1520,1536,2307,2338,2349,2303,2345,2301,2306,2311,2334,2309,2333,2341,2315,2327,2337,2350,2302,2340,2317,2331,2343,2324,2329,2322,2346,2313,2321,2325,2330,2342,2308,2326,2339,2344,2323,2318,2304,2332,2312,2335,2328,2347,2316,2305,2310,2314,2319,2348,2320,2336,757,788,799,753,795,751,756,761,784,759,783,791,765,777,787,800,752,790,767,781,793,774,779,772,796,763,771,775,780,792,758,776,789,794,773,768,754,782,762,785,778,797,766,755,760,764,769,798,770,786,2007,2038,2049,2003,2045,2001,2006,2011,2034,2009,2033,2041,2015,2027,2037,2050,2002,2040,2017,2031,2043,2024,2029,2022,2046,2013,2021,2025,2030,2042,2008,2026,2039,2044,2023,2018,2004,2032,2012,2035,2028,2047,2016,2005,2010,2014,2019,2048,2020,2036,1407,1438,1449,1403,1445,1401,1406,1411,1434,1409,1433,1441,1415,1427,1437,1450,1402,1440,1417,1431,1443,1424,1429,1422,1446,1413,1421,1425,1430,1442,1408,1426,1439,1444,1423,1418,1404,1432,1412,1435,1428,1447,1416,1405,1410,1414,1419,1448,1420,1436,507,538,549,503,545,501,506,511,534,509,533,541,515,527,537,550,502,540,517,531,543,524,529,522,546,513,521,525,530,542,508,526,539,544,523,518,504,532,512,535,528,547,516,505,510,514,519,548,520,536,207,238,249,203,245,201,206,211,234,209,233,241,215,227,237,250,202,240,217,231,243,224,229,222,246,213,221,225,230,242,208,226,239,244,223,218,204,232,212,235,228,247,216,205,210,214,219,248,220,236,807,838,849,803,845,801,806,811,834,809,833,841,815,827,837,850,802,840,817,831,843,824,829,822,846,813,821,825,830,842,808,826,839,844,823,818,804,832,812,835,828,847,816,805,810,814,819,848,820,836,2257,2288,2299,2253,2295,2251,2256,2261,2284,2259,2283,2291,2265,2277,2287,2300,2252,2290,2267,2281,2293,2274,2279,2272,2296,2263,2271,2275,2280,2292,2258,2276,2289,2294,2273,2268,2254,2282,2262,2285,2278,2297,2266,2255,2260,2264,2269,2298,2270,2286,1607,1638,1649,1603,1645,1601,1606,1611,1634,1609,1633,1641,1615,1627,1637,1650,1602,1640,1617,1631,1643,1624,1629,1622,1646,1613,1621,1625,1630,1642,1608,1626,1639,1644,1623,1618,1604,1632,1612,1635,1628,1647,1616,1605,1610,1614,1619,1648,1620,1636,1557,1588,1599,1553,1595,1551,1556,1561,1584,1559,1583,1591,1565,1577,1587,1600,1552,1590,1567,1581,1593,1574,1579,1572,1596,1563,1571,1575,1580,1592,1558,1576,1589,1594,1573,1568,1554,1582,1562,1585,1578,1597,1566,1555,1560,1564,1569,1598,1570,1586,2457,2488,2499,2453,2495,2451,2456,2461,2484,2459,2483,2491,2465,2477,2487,2500,2452,2490,2467,2481,2493,2474,2479,2472,2496,2463,2471,2475,2480,2492,2458,2476,2489,2494,2473,2468,2454,2482,2462,2485,2478,2497,2466,2455,2460,2464,2469,2498,2470,2486,657,688,699,653,695,651,656,661,684,659,683,691,665,677,687,700,652,690,667,681,693,674,679,672,696,663,671,675,680,692,658,676,689,694,673,668,654,682,662,685,678,697,666,655,660,664,669,698,670,686,1857,1888,1899,1853,1895,1851,1856,1861,1884,1859,1883,1891,1865,1877,1887,1900,1852,1890,1867,1881,1893,1874,1879,1872,1896,1863,1871,1875,1880,1892,1858,1876,1889,1894,1873,1868,1854,1882,1862,1885,1878,1897,1866,1855,1860,1864,1869,1898,1870,1886,107,138,149,103,145,101,106,111,134,109,133,141,115,127,137,150,102,140,117,131,143,124,129,122,146,113,121,125,130,142,108,126,139,144,123,118,104,132,112,135,128,147,116,105,110,114,119,148,120,136,2207,2238,2249,2203,2245,2201,2206,2211,2234,2209,2233,2241,2215,2227,2237,2250,2202,2240,2217,2231,2243,2224,2229,2222,2246,2213,2221,2225,2230,2242,2208,2226,2239,2244,2223,2218,2204,2232,2212,2235,2228,2247,2216,2205,2210,2214,2219,2248,2220,2236,1257,1288,1299,1253,1295,1251,1256,1261,1284,1259,1283,1291,1265,1277,1287,1300,1252,1290,1267,1281,1293,1274,1279,1272,1296,1263,1271,1275,1280,1292,1258,1276,1289,1294,1273,1268,1254,1282,1262,1285,1278,1297,1266,1255,1260,1264,1269,1298,1270,1286,1957,1988,1999,1953,1995,1951,1956,1961,1984,1959,1983,1991,1965,1977,1987,2000,1952,1990,1967,1981,1993,1974,1979,1972,1996,1963,1971,1975,1980,1992,1958,1976,1989,1994,1973,1968,1954,1982,1962,1985,1978,1997,1966,1955,1960,1964,1969,1998,1970,1986}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

50

{2303,2332,2341,2340,2324,2305,2310,2336,2301,2328,2320,2318,2326,2325,2335,2346,2306,2338,2319,2345,2329,2312,2331,2327,2307,2347,2304,2302,2334,2316,2349,2315,2314,2342,2333,2330,2313,2309,2317,2350,2337,2323,2322,2311,2321,2348,2308,2339,2343,2344,1753,1782,1791,1790,1774,1755,1760,1786,1751,1778,1770,1768,1776,1775,1785,1796,1756,1788,1769,1795,1779,1762,1781,1777,1757,1797,1754,1752,1784,1766,1799,1765,1764,1792,1783,1780,1763,1759,1767,1800,1787,1773,1772,1761,1771,1798,1758,1789,1793,1794,1403,1432,1441,1440,1424,1405,1410,1436,1401,1428,1420,1418,1426,1425,1435,1446,1406,1438,1419,1445,1429,1412,1431,1427,1407,1447,1404,1402,1434,1416,1449,1415,1414,1442,1433,1430,1413,1409,1417,1450,1437,1423,1422,1411,1421,1448,1408,1439,1443,1444,1103,1132,1141,1140,1124,1105,1110,1136,1101,1128,1120,1118,1126,1125,1135,1146,1106,1138,1119,1145,1129,1112,1131,1127,1107,1147,1104,1102,1134,1116,1149,1115,1114,1142,1133,1130,1113,1109,1117,1150,1137,1123,1122,1111,1121,1148,1108,1139,1143,1144,2103,2132,2141,2140,2124,2105,2110,2136,2101,2128,2120,2118,2126,2125,2135,2146,2106,2138,2119,2145,2129,2112,2131,2127,2107,2147,2104,2102,2134,2116,2149,2115,2114,2142,2133,2130,2113,2109,2117,2150,2137,2123,2122,2111,2121,2148,2108,2139,2143,2144,1503,1532,1541,1540,1524,1505,1510,1536,1501,1528,1520,1518,1526,1525,1535,1546,1506,1538,1519,1545,1529,1512,1531,1527,1507,1547,1504,1502,1534,1516,1549,1515,1514,1542,1533,1530,1513,1509,1517,1550,1537,1523,1522,1511,1521,1548,1508,1539,1543,1544,1053,1082,1091,1090,1074,1055,1060,1086,1051,1078,1070,1068,1076,1075,1085,1096,1056,1088,1069,1095,1079,1062,1081,1077,1057,1097,1054,1052,1084,1066,1099,1065,1064,1092,1083,1080,1063,1059,1067,1100,1087,1073,1072,1061,1071,1098,1058,1089,1093,1094,803,832,841,840,824,805,810,836,801,828,820,818,826,825,835,846,806,838,819,845,829,812,831,827,807,847,804,802,834,816,849,815,814,842,833,830,813,809,817,850,837,823,822,811,821,848,808,839,843,844,2003,2032,2041,2040,2024,2005,2010,2036,2001,2028,2020,2018,2026,2025,2035,2046,2006,2038,2019,2045,2029,2012,2031,2027,2007,2047,2004,2002,2034,2016,2049,2015,2014,2042,2033,2030,2013,2009,2017,2050,2037,2023,2022,2011,2021,2048,2008,2039,2043,2044,903,932,941,940,924,905,910,936,901,928,920,918,926,925,935,946,906,938,919,945,929,912,931,927,907,947,904,902,934,916,949,915,914,942,933,930,913,909,917,950,937,923,922,911,921,948,908,939,943,944,2053,2082,2091,2090,2074,2055,2060,2086,2051,2078,2070,2068,2076,2075,2085,2096,2056,2088,2069,2095,2079,2062,2081,2077,2057,2097,2054,2052,2084,2066,2099,2065,2064,2092,2083,2080,2063,2059,2067,2100,2087,2073,2072,2061,2071,2098,2058,2089,2093,2094,2403,2432,2441,2440,2424,2405,2410,2436,2401,2428,2420,2418,2426,2425,2435,2446,2406,2438,2419,2445,2429,2412,2431,2427,2407,2447,2404,2402,2434,2416,2449,2415,2414,2442,2433,2430,2413,2409,2417,2450,2437,2423,2422,2411,2421,2448,2408,2439,2443,2444,503,532,541,540,524,505,510,536,501,528,520,518,526,525,535,546,506,538,519,545,529,512,531,527,507,547,504,502,534,516,549,515,514,542,533,530,513,509,517,550,537,523,522,511,521,548,508,539,543,544,753,782,791,790,774,755,760,786,751,778,770,768,776,775,785,796,756,788,769,795,779,762,781,777,757,797,754,752,784,766,799,765,764,792,783,780,763,759,767,800,787,773,772,761,771,798,758,789,793,794,1003,1032,1041,1040,1024,1005,1010,1036,1001,1028,1020,1018,1026,1025,1035,1046,1006,1038,1019,1045,1029,1012,1031,1027,1007,1047,1004,1002,1034,1016,1049,1015,1014,1042,1033,1030,1013,1009,1017,1050,1037,1023,1022,1011,1021,1048,1008,1039,1043,1044,653,682,691,690,674,655,660,686,651,678,670,668,676,675,685,696,656,688,669,695,679,662,681,677,657,697,654,652,684,666,699,665,664,692,683,680,663,659,667,700,687,673,672,661,671,698,658,689,693,694,453,482,491,490,474,455,460,486,451,478,470,468,476,475,485,496,456,488,469,495,479,462,481,477,457,497,454,452,484,466,499,465,464,492,483,480,463,459,467,500,487,473,472,461,471,498,458,489,493,494,103,132,141,140,124,105,110,136,101,128,120,118,126,125,135,146,106,138,119,145,129,112,131,127,107,147,104,102,134,116,149,115,114,142,133,130,113,109,117,150,137,123,122,111,121,148,108,139,143,144,153,182,191,190,174,155,160,186,151,178,170,168,176,175,185,196,156,188,169,195,179,162,181,177,157,197,154,152,184,166,199,165,164,192,183,180,163,159,167,200,187,173,172,161,171,198,158,189,193,194,2353,2382,2391,2390,2374,2355,2360,2386,2351,2378,2370,2368,2376,2375,2385,2396,2356,2388,2369,2395,2379,2362,2381,2377,2357,2397,2354,2352,2384,2366,2399,2365,2364,2392,2383,2380,2363,2359,2367,2400,2387,2373,2372,2361,2371,2398,2358,2389,2393,2394,2453,2482,2491,2490,2474,2455,2460,2486,2451,2478,2470,2468,2476,2475,2485,2496,2456,2488,2469,2495,2479,2462,2481,2477,2457,2497,2454,2452,2484,2466,2499,2465,2464,2492,2483,2480,2463,2459,2467,2500,2487,2473,2472,2461,2471,2498,2458,2489,2493,2494,953,982,991,990,974,955,960,986,951,978,970,968,976,975,985,996,956,988,969,995,979,962,981,977,957,997,954,952,984,966,999,965,964,992,983,980,963,959,967,1000,987,973,972,961,971,998,958,989,993,994,2253,2282,2291,2290,2274,2255,2260,2286,2251,2278,2270,2268,2276,2275,2285,2296,2256,2288,2269,2295,2279,2262,2281,2277,2257,2297,2254,2252,2284,2266,2299,2265,2264,2292,2283,2280,2263,2259,2267,2300,2287,2273,2272,2261,2271,2298,2258,2289,2293,2294,1953,1982,1991,1990,1974,1955,1960,1986,1951,1978,1970,1968,1976,1975,1985,1996,1956,1988,1969,1995,1979,1962,1981,1977,1957,1997,1954,1952,1984,1966,1999,1965,1964,1992,1983,1980,1963,1959,1967,2000,1987,1973,1972,1961,1971,1998,1958,1989,1993,1994,353,382,391,390,374,355,360,386,351,378,370,368,376,375,385,396,356,388,369,395,379,362,381,377,357,397,354,352,384,366,399,365,364,392,383,380,363,359,367,400,387,373,372,361,371,398,358,389,393,394,1153,1182,1191,1190,1174,1155,1160,1186,1151,1178,1170,1168,1176,1175,1185,1196,1156,1188,1169,1195,1179,1162,1181,1177,1157,1197,1154,1152,1184,1166,1199,1165,1164,1192,1183,1180,1163,1159,1167,1200,1187,1173,1172,1161,1171,1198,1158,1189,1193,1194,553,582,591,590,574,555,560,586,551,578,570,568,576,575,585,596,556,588,569,595,579,562,581,577,557,597,554,552,584,566,599,565,564,592,583,580,563,559,567,600,587,573,572,561,571,598,558,589,593,594,703,732,741,740,724,705,710,736,701,728,720,718,726,725,735,746,706,738,719,745,729,712,731,727,707,747,704,702,734,716,749,715,714,742,733,730,713,709,717,750,737,723,722,711,721,748,708,739,743,744,1553,1582,1591,1590,1574,1555,1560,1586,1551,1578,1570,1568,1576,1575,1585,1596,1556,1588,1569,1595,1579,1562,1581,1577,1557,1597,1554,1552,1584,1566,1599,1565,1564,1592,1583,1580,1563,1559,1567,1600,1587,1573,1572,1561,1571,1598,1558,1589,1593,1594,53,82,91,90,74,55,60,86,51,78,70,68,76,75,85,96,56,88,69,95,79,62,81,77,57,97,54,52,84,66,99,65,64,92,83,80,63,59,67,100,87,73,72,61,71,98,58,89,93,94,253,282,291,290,274,255,260,286,251,278,270,268,276,275,285,296,256,288,269,295,279,262,281,277,257,297,254,252,284,266,299,265,264,292,283,280,263,259,267,300,287,273,272,261,271,298,258,289,293,294,1353,1382,1391,1390,1374,1355,1360,1386,1351,1378,1370,1368,1376,1375,1385,1396,1356,1388,1369,1395,1379,1362,1381,1377,1357,1397,1354,1352,1384,1366,1399,1365,1364,1392,1383,1380,1363,1359,1367,1400,1387,1373,1372,1361,1371,1398,1358,1389,1393,1394,2203,2232,2241,2240,2224,2205,2210,2236,2201,2228,2220,2218,2226,2225,2235,2246,2206,2238,2219,2245,2229,2212,2231,2227,2207,2247,2204,2202,2234,2216,2249,2215,2214,2242,2233,2230,2213,2209,2217,2250,2237,2223,2222,2211,2221,2248,2208,2239,2243,2244,403,432,441,440,424,405,410,436,401,428,420,418,426,425,435,446,406,438,419,445,429,412,431,427,407,447,404,402,434,416,449,415,414,442,433,430,413,409,417,450,437,423,422,411,421,448,408,439,443,444,2153,2182,2191,2190,2174,2155,2160,2186,2151,2178,2170,2168,2176,2175,2185,2196,2156,2188,2169,2195,2179,2162,2181,2177,2157,2197,2154,2152,2184,2166,2199,2165,2164,2192,2183,2180,2163,2159,2167,2200,2187,2173,2172,2161,2171,2198,2158,2189,2193,2194,203,232,241,240,224,205,210,236,201,228,220,218,226,225,235,246,206,238,219,245,229,212,231,227,207,247,204,202,234,216,249,215,214,242,233,230,213,209,217,250,237,223,222,211,221,248,208,239,243,244,1903,1932,1941,1940,1924,1905,1910,1936,1901,1928,1920,1918,1926,1925,1935,1946,1906,1938,1919,1945,1929,1912,1931,1927,1907,1947,1904,1902,1934,1916,1949,1915,1914,1942,1933,1930,1913,1909,1917,1950,1937,1923,1922,1911,1921,1948,1908,1939,1943,1944,1453,1482,1491,1490,1474,1455,1460,1486,1451,1478,1470,1468,1476,1475,1485,1496,1456,1488,1469,1495,1479,1462,1481,1477,1457,1497,1454,1452,1484,1466,1499,1465,1464,1492,1483,1480,1463,1459,1467,1500,1487,1473,1472,1461,1471,1498,1458,1489,1493,1494,1703,1732,1741,1740,1724,1705,1710,1736,1701,1728,1720,1718,1726,1725,1735,1746,1706,1738,1719,1745,1729,1712,1731,1727,1707,1747,1704,1702,1734,1716,1749,1715,1714,1742,1733,1730,1713,1709,1717,1750,1737,1723,1722,1711,1721,1748,1708,1739,1743,1744,1253,1282,1291,1290,1274,1255,1260,1286,1251,1278,1270,1268,1276,1275,1285,1296,1256,1288,1269,1295,1279,1262,1281,1277,1257,1297,1254,1252,1284,1266,1299,1265,1264,1292,1283,1280,1263,1259,1267,1300,1287,1273,1272,1261,1271,1298,1258,1289,1293,1294,1603,1632,1641,1640,1624,1605,1610,1636,1601,1628,1620,1618,1626,1625,1635,1646,1606,1638,1619,1645,1629,1612,1631,1627,1607,1647,1604,1602,1634,1616,1649,1615,1614,1642,1633,1630,1613,1609,1617,1650,1637,1623,1622,1611,1621,1648,1608,1639,1643,1644,603,632,641,640,624,605,610,636,601,628,620,618,626,625,635,646,606,638,619,645,629,612,631,627,607,647,604,602,634,616,649,615,614,642,633,630,613,609,617,650,637,623,622,611,621,648,608,639,643,644,1653,1682,1691,1690,1674,1655,1660,1686,1651,1678,1670,1668,1676,1675,1685,1696,1656,1688,1669,1695,1679,1662,1681,1677,1657,1697,1654,1652,1684,1666,1699,1665,1664,1692,1683,1680,1663,1659,1667,1700,1687,1673,1672,1661,1671,1698,1658,1689,1693,1694,853,882,891,890,874,855,860,886,851,878,870,868,876,875,885,896,856,888,869,895,879,862,881,877,857,897,854,852,884,866,899,865,864,892,883,880,863,859,867,900,887,873,872,861,871,898,858,889,893,894,1303,1332,1341,1340,1324,1305,1310,1336,1301,1328,1320,1318,1326,1325,1335,1346,1306,1338,1319,1345,1329,1312,1331,1327,1307,1347,1304,1302,1334,1316,1349,1315,1314,1342,1333,1330,1313,1309,1317,1350,1337,1323,1322,1311,1321,1348,1308,1339,1343,1344,303,332,341,340,324,305,310,336,301,328,320,318,326,325,335,346,306,338,319,345,329,312,331,327,307,347,304,302,334,316,349,315,314,342,333,330,313,309,317,350,337,323,322,311,321,348,308,339,343,344,1803,1832,1841,1840,1824,1805,1810,1836,1801,1828,1820,1818,1826,1825,1835,1846,1806,1838,1819,1845,1829,1812,1831,1827,1807,1847,1804,1802,1834,1816,1849,1815,1814,1842,1833,1830,1813,1809,1817,1850,1837,1823,1822,1811,1821,1848,1808,1839,1843,1844,1203,1232,1241,1240,1224,1205,1210,1236,1201,1228,1220,1218,1226,1225,1235,1246,1206,1238,1219,1245,1229,1212,1231,1227,1207,1247,1204,1202,1234,1216,1249,1215,1214,1242,1233,1230,1213,1209,1217,1250,1237,1223,1222,1211,1221,1248,1208,1239,1243,1244,1853,1882,1891,1890,1874,1855,1860,1886,1851,1878,1870,1868,1876,1875,1885,1896,1856,1888,1869,1895,1879,1862,1881,1877,1857,1897,1854,1852,1884,1866,1899,1865,1864,1892,1883,1880,1863,1859,1867,1900,1887,1873,1872,1861,1871,1898,1858,1889,1893,1894,3,32,41,40,24,5,10,36,1,28,20,18,26,25,35,46,6,38,19,45,29,12,31,27,7,47,4,2,34,16,49,15,14,42,33,30,13,9,17,50,37,23,22,11,21,48,8,39,43,44}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

50

{2308,2301,2336,2329,2319,2315,2343,2347,2346,2342,2321,2328,2324,2330,2339,2326,2348,2304,2316,2345,2303,2307,2318,2344,2333,2312,2332,2305,2320,2325,2337,2331,2313,2338,2341,2306,2317,2310,2334,2335,2340,2349,2323,2327,2311,2309,2350,2322,2302,2314,1308,1301,1336,1329,1319,1315,1343,1347,1346,1342,1321,1328,1324,1330,1339,1326,1348,1304,1316,1345,1303,1307,1318,1344,1333,1312,1332,1305,1320,1325,1337,1331,1313,1338,1341,1306,1317,1310,1334,1335,1340,1349,1323,1327,1311,1309,1350,1322,1302,1314,858,851,886,879,869,865,893,897,896,892,871,878,874,880,889,876,898,854,866,895,853,857,868,894,883,862,882,855,870,875,887,881,863,888,891,856,867,860,884,885,890,899,873,877,861,859,900,872,852,864,2258,2251,2286,2279,2269,2265,2293,2297,2296,2292,2271,2278,2274,2280,2289,2276,2298,2254,2266,2295,2253,2257,2268,2294,2283,2262,2282,2255,2270,2275,2287,2281,2263,2288,2291,2256,2267,2260,2284,2285,2290,2299,2273,2277,2261,2259,2300,2272,2252,2264,808,801,836,829,819,815,843,847,846,842,821,828,824,830,839,826,848,804,816,845,803,807,818,844,833,812,832,805,820,825,837,831,813,838,841,806,817,810,834,835,840,849,823,827,811,809,850,822,802,814,58,51,86,79,69,65,93,97,96,92,71,78,74,80,89,76,98,54,66,95,53,57,68,94,83,62,82,55,70,75,87,81,63,88,91,56,67,60,84,85,90,99,73,77,61,59,100,72,52,64,908,901,936,929,919,915,943,947,946,942,921,928,924,930,939,926,948,904,916,945,903,907,918,944,933,912,932,905,920,925,937,931,913,938,941,906,917,910,934,935,940,949,923,927,911,909,950,922,902,914,1658,1651,1686,1679,1669,1665,1693,1697,1696,1692,1671,1678,1674,1680,1689,1676,1698,1654,1666,1695,1653,1657,1668,1694,1683,1662,1682,1655,1670,1675,1687,1681,1663,1688,1691,1656,1667,1660,1684,1685,1690,1699,1673,1677,1661,1659,1700,1672,1652,1664,2158,2151,2186,2179,2169,2165,2193,2197,2196,2192,2171,2178,2174,2180,2189,2176,2198,2154,2166,2195,2153,2157,2168,2194,2183,2162,2182,2155,2170,2175,2187,2181,2163,2188,2191,2156,2167,2160,2184,2185,2190,2199,2173,2177,2161,2159,2200,2172,2152,2164,1958,1951,1986,1979,1969,1965,1993,1997,1996,1992,1971,1978,1974,1980,1989,1976,1998,1954,1966,1995,1953,1957,1968,1994,1983,1962,1982,1955,1970,1975,1987,1981,1963,1988,1991,1956,1967,1960,1984,1985,1990,1999,1973,1977,1961,1959,2000,1972,1952,1964,1358,1351,1386,1379,1369,1365,1393,1397,1396,1392,1371,1378,1374,1380,1389,1376,1398,1354,1366,1395,1353,1357,1368,1394,1383,1362,1382,1355,1370,1375,1387,1381,1363,1388,1391,1356,1367,1360,1384,1385,1390,1399,1373,1377,1361,1359,1400,1372,1352,1364,1758,1751,1786,1779,1769,1765,1793,1797,1796,1792,1771,1778,1774,1780,1789,1776,1798,1754,1766,1795,1753,1757,1768,1794,1783,1762,1782,1755,1770,1775,1787,1781,1763,1788,1791,1756,1767,1760,1784,1785,1790,1799,1773,1777,1761,1759,1800,1772,1752,1764,1908,1901,1936,1929,1919,1915,1943,1947,1946,1942,1921,1928,1924,1930,1939,1926,1948,1904,1916,1945,1903,1907,1918,1944,1933,1912,1932,1905,1920,1925,1937,1931,1913,1938,1941,1906,1917,1910,1934,1935,1940,1949,1923,1927,1911,1909,1950,1922,1902,1914,508,501,536,529,519,515,543,547,546,542,521,528,524,530,539,526,548,504,516,545,503,507,518,544,533,512,532,505,520,525,537,531,513,538,541,506,517,510,534,535,540,549,523,527,511,509,550,522,502,514,1708,1701,1736,1729,1719,1715,1743,1747,1746,1742,1721,1728,1724,1730,1739,1726,1748,1704,1716,1745,1703,1707,1718,1744,1733,1712,1732,1705,1720,1725,1737,1731,1713,1738,1741,1706,1717,1710,1734,1735,1740,1749,1723,1727,1711,1709,1750,1722,1702,1714,208,201,236,229,219,215,243,247,246,242,221,228,224,230,239,226,248,204,216,245,203,207,218,244,233,212,232,205,220,225,237,231,213,238,241,206,217,210,234,235,240,249,223,227,211,209,250,222,202,214,2108,2101,2136,2129,2119,2115,2143,2147,2146,2142,2121,2128,2124,2130,2139,2126,2148,2104,2116,2145,2103,2107,2118,2144,2133,2112,2132,2105,2120,2125,2137,2131,2113,2138,2141,2106,2117,2110,2134,2135,2140,2149,2123,2127,2111,2109,2150,2122,2102,2114,1808,1801,1836,1829,1819,1815,1843,1847,1846,1842,1821,1828,1824,1830,1839,1826,1848,1804,1816,1845,1803,1807,1818,1844,1833,1812,1832,1805,1820,1825,1837,1831,1813,1838,1841,1806,1817,1810,1834,1835,1840,1849,1823,1827,1811,1809,1850,1822,1802,1814,1858,1851,1886,1879,1869,1865,1893,1897,1896,1892,1871,1878,1874,1880,1889,1876,1898,1854,1866,1895,1853,1857,1868,1894,1883,1862,1882,1855,1870,1875,1887,1881,1863,1888,1891,1856,1867,1860,1884,1885,1890,1899,1873,1877,1861,1859,1900,1872,1852,1864,958,951,986,979,969,965,993,997,996,992,971,978,974,980,989,976,998,954,966,995,953,957,968,994,983,962,982,955,970,975,987,981,963,988,991,956,967,960,984,985,990,999,973,977,961,959,1000,972,952,964,708,701,736,729,719,715,743,747,746,742,721,728,724,730,739,726,748,704,716,745,703,707,718,744,733,712,732,705,720,725,737,731,713,738,741,706,717,710,734,735,740,749,723,727,711,709,750,722,702,714,2408,2401,2436,2429,2419,2415,2443,2447,2446,2442,2421,2428,2424,2430,2439,2426,2448,2404,2416,2445,2403,2407,2418,2444,2433,2412,2432,2405,2420,2425,2437,2431,2413,2438,2441,2406,2417,2410,2434,2435,2440,2449,2423,2427,2411,2409,2450,2422,2402,2414,1608,1601,1636,1629,1619,1615,1643,1647,1646,1642,1621,1628,1624,1630,1639,1626,1648,1604,1616,1645,1603,1607,1618,1644,1633,1612,1632,1605,1620,1625,1637,1631,1613,1638,1641,1606,1617,1610,1634,1635,1640,1649,1623,1627,1611,1609,1650,1622,1602,1614,1108,1101,1136,1129,1119,1115,1143,1147,1146,1142,1121,1128,1124,1130,1139,1126,1148,1104,1116,1145,1103,1107,1118,1144,1133,1112,1132,1105,1120,1125,1137,1131,1113,1138,1141,1106,1117,1110,1134,1135,1140,1149,1123,1127,1111,1109,1150,1122,1102,1114,308,301,336,329,319,315,343,347,346,342,321,328,324,330,339,326,348,304,316,345,303,307,318,344,333,312,332,305,320,325,337,331,313,338,341,306,317,310,334,335,340,349,323,327,311,309,350,322,302,314,608,601,636,629,619,615,643,647,646,642,621,628,624,630,639,626,648,604,616,645,603,607,618,644,633,612,632,605,620,625,637,631,613,638,641,606,617,610,634,635,640,649,623,627,611,609,650,622,602,614,158,151,186,179,169,165,193,197,196,192,171,178,174,180,189,176,198,154,166,195,153,157,168,194,183,162,182,155,170,175,187,181,163,188,191,156,167,160,184,185,190,199,173,177,161,159,200,172,152,164,1008,1001,1036,1029,1019,1015,1043,1047,1046,1042,1021,1028,1024,1030,1039,1026,1048,1004,1016,1045,1003,1007,1018,1044,1033,1012,1032,1005,1020,1025,1037,1031,1013,1038,1041,1006,1017,1010,1034,1035,1040,1049,1023,1027,1011,1009,1050,1022,1002,1014,1408,1401,1436,1429,1419,1415,1443,1447,1446,1442,1421,1428,1424,1430,1439,1426,1448,1404,1416,1445,1403,1407,1418,1444,1433,1412,1432,1405,1420,1425,1437,1431,1413,1438,1441,1406,1417,1410,1434,1435,1440,1449,1423,1427,1411,1409,1450,1422,1402,1414,2208,2201,2236,2229,2219,2215,2243,2247,2246,2242,2221,2228,2224,2230,2239,2226,2248,2204,2216,2245,2203,2207,2218,2244,2233,2212,2232,2205,2220,2225,2237,2231,2213,2238,2241,2206,2217,2210,2234,2235,2240,2249,2223,2227,2211,2209,2250,2222,2202,2214,1158,1151,1186,1179,1169,1165,1193,1197,1196,1192,1171,1178,1174,1180,1189,1176,1198,1154,1166,1195,1153,1157,1168,1194,1183,1162,1182,1155,1170,1175,1187,1181,1163,1188,1191,1156,1167,1160,1184,1185,1190,1199,1173,1177,1161,1159,1200,1172,1152,1164,2458,2451,2486,2479,2469,2465,2493,2497,2496,2492,2471,2478,2474,2480,2489,2476,2498,2454,2466,2495,2453,2457,2468,2494,2483,2462,2482,2455,2470,2475,2487,2481,2463,2488,2491,2456,2467,2460,2484,2485,2490,2499,2473,2477,2461,2459,2500,2472,2452,2464,8,1,36,29,19,15,43,47,46,42,21,28,24,30,39,26,48,4,16,45,3,7,18,44,33,12,32,5,20,25,37,31,13,38,41,6,17,10,34,35,40,49,23,27,11,9,50,22,2,14,558,551,586,579,569,565,593,597,596,592,571,578,574,580,589,576,598,554,566,595,553,557,568,594,583,562,582,555,570,575,587,581,563,588,591,556,567,560,584,585,590,599,573,577,561,559,600,572,552,564,258,251,286,279,269,265,293,297,296,292,271,278,274,280,289,276,298,254,266,295,253,257,268,294,283,262,282,255,270,275,287,281,263,288,291,256,267,260,284,285,290,299,273,277,261,259,300,272,252,264,758,751,786,779,769,765,793,797,796,792,771,778,774,780,789,776,798,754,766,795,753,757,768,794,783,762,782,755,770,775,787,781,763,788,791,756,767,760,784,785,790,799,773,777,761,759,800,772,752,764,458,451,486,479,469,465,493,497,496,492,471,478,474,480,489,476,498,454,466,495,453,457,468,494,483,462,482,455,470,475,487,481,463,488,491,456,467,460,484,485,490,499,473,477,461,459,500,472,452,464,1558,1551,1586,1579,1569,1565,1593,1597,1596,1592,1571,1578,1574,1580,1589,1576,1598,1554,1566,1595,1553,1557,1568,1594,1583,1562,1582,1555,1570,1575,1587,1581,1563,1588,1591,1556,1567,1560,1584,1585,1590,1599,1573,1577,1561,1559,1600,1572,1552,1564,108,101,136,129,119,115,143,147,146,142,121,128,124,130,139,126,148,104,116,145,103,107,118,144,133,112,132,105,120,125,137,131,113,138,141,106,117,110,134,135,140,149,123,127,111,109,150,122,102,114,658,651,686,679,669,665,693,697,696,692,671,678,674,680,689,676,698,654,666,695,653,657,668,694,683,662,682,655,670,675,687,681,663,688,691,656,667,660,684,685,690,699,673,677,661,659,700,672,652,664,1058,1051,1086,1079,1069,1065,1093,1097,1096,1092,1071,1078,1074,1080,1089,1076,1098,1054,1066,1095,1053,1057,1068,1094,1083,1062,1082,1055,1070,1075,1087,1081,1063,1088,1091,1056,1067,1060,1084,1085,1090,1099,1073,1077,1061,1059,1100,1072,1052,1064,2058,2051,2086,2079,2069,2065,2093,2097,2096,2092,2071,2078,2074,2080,2089,2076,2098,2054,2066,2095,2053,2057,2068,2094,2083,2062,2082,2055,2070,2075,2087,2081,2063,2088,2091,2056,2067,2060,2084,2085,2090,2099,2073,2077,2061,2059,2100,2072,2052,2064,2008,2001,2036,2029,2019,2015,2043,2047,2046,2042,2021,2028,2024,2030,2039,2026,2048,2004,2016,2045,2003,2007,2018,2044,2033,2012,2032,2005,2020,2025,2037,2031,2013,2038,2041,2006,2017,2010,2034,2035,2040,2049,2023,2027,2011,2009,2050,2022,2002,2014,408,401,436,429,419,415,443,447,446,442,421,428,424,430,439,426,448,404,416,445,403,407,418,444,433,412,432,405,420,425,437,431,413,438,441,406,417,410,434,435,440,449,423,427,411,409,450,422,402,414,2358,2351,2386,2379,2369,2365,2393,2397,2396,2392,2371,2378,2374,2380,2389,2376,2398,2354,2366,2395,2353,2357,2368,2394,2383,2362,2382,2355,2370,2375,2387,2381,2363,2388,2391,2356,2367,2360,2384,2385,2390,2399,2373,2377,2361,2359,2400,2372,2352,2364,358,351,386,379,369,365,393,397,396,392,371,378,374,380,389,376,398,354,366,395,353,357,368,394,383,362,382,355,370,375,387,381,363,388,391,356,367,360,384,385,390,399,373,377,361,359,400,372,352,364,1208,1201,1236,1229,1219,1215,1243,1247,1246,1242,1221,1228,1224,1230,1239,1226,1248,1204,1216,1245,1203,1207,1218,1244,1233,1212,1232,1205,1220,1225,1237,1231,1213,1238,1241,1206,1217,1210,1234,1235,1240,1249,1223,1227,1211,1209,1250,1222,1202,1214,1458,1451,1486,1479,1469,1465,1493,1497,1496,1492,1471,1478,1474,1480,1489,1476,1498,1454,1466,1495,1453,1457,1468,1494,1483,1462,1482,1455,1470,1475,1487,1481,1463,1488,1491,1456,1467,1460,1484,1485,1490,1499,1473,1477,1461,1459,1500,1472,1452,1464,1508,1501,1536,1529,1519,1515,1543,1547,1546,1542,1521,1528,1524,1530,1539,1526,1548,1504,1516,1545,1503,1507,1518,1544,1533,1512,1532,1505,1520,1525,1537,1531,1513,1538,1541,1506,1517,1510,1534,1535,1540,1549,1523,1527,1511,1509,1550,1522,1502,1514,1258,1251,1286,1279,1269,1265,1293,1297,1296,1292,1271,1278,1274,1280,1289,1276,1298,1254,1266,1295,1253,1257,1268,1294,1283,1262,1282,1255,1270,1275,1287,1281,1263,1288,1291,1256,1267,1260,1284,1285,1290,1299,1273,1277,1261,1259,1300,1272,1252,1264}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
4

28

{46,52,47,41,51,34,45,43,33,48,29,50,38,30,39,44,35,36,40,56,31,49,55,32,37,53,42,54,18,24,19,13,23,6,17,15,5,20,1,22,10,2,11,16,7,8,12,28,3,21,27,4,9,25,14,26,74,80,75,69,79,62,73,71,61,76,57,78,66,58,67,72,63,64,68,84,59,77,83,60,65,81,70,82,102,108,103,97,107,90,101,99,89,104,85,106,94,86,95,100,91,92,96,112,87,105,111,88,93,109,98,110}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
16

12

{75,77,81,79,78,83,76,80,73,74,84,82,183,185,189,187,186,191,184,188,181,182,192,190,63,65,69,67,66,71,64,68,61,62,72,70,51,53,57,55,54,59,52,56,49,50,60,58,27,29,33,31,30,35,28,32,25,26,36,34,147,149,153,151,150,155,148,152,145,146,156,154,123,125,129,127,126,131,124,128,121,122,132,130,99,101,105,103,102,107,100,104,97,98,108,106,135,137,141,139,138,143,136,140,133,134,144,142,3,5,9,7,6,11,4,8,1,2,12,10,111,113,117,115,114,119,112,116,109,110,120,118,159,161,165,163,162,167,160,164,157,158,168,166,15,17,21,19,18,23,16,20,13,14,24,22,39,41,45,43,42,47,40,44,37,38,48,46,87,89,93,91,90,95,88,92,85,86,96,94,171,173,177,175,174,179,172,176,169,170,180,178}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
7

45

{166,149,167,137,153,155,159,145,142,171,180,151,157,146,163,158,147,139,154,161,156,172,173,179,148,164,150,140,136,143,152,170,160,176,177,178,162,141,168,144,138,174,165,175,169,31,14,32,2,18,20,24,10,7,36,45,16,22,11,28,23,12,4,19,26,21,37,38,44,13,29,15,5,1,8,17,35,25,41,42,43,27,6,33,9,3,39,30,40,34,301,284,302,272,288,290,294,280,277,306,315,286,292,281,298,293,282,274,289,296,291,307,308,314,283,299,285,275,271,278,287,305,295,311,312,313,297,276,303,279,273,309,300,310,304,76,59,77,47,63,65,69,55,52,81,90,61,67,56,73,68,57,49,64,71,66,82,83,89,58,74,60,50,46,53,62,80,70,86,87,88,72,51,78,54,48,84,75,85,79,121,104,122,92,108,110,114,100,97,126,135,106,112,101,118,113,102,94,109,116,111,127,128,134,103,119,105,95,91,98,107,125,115,131,132,133,117,96,123,99,93,129,120,130,124,256,239,257,227,243,245,249,235,232,261,270,241,247,236,253,248,237,229,244,251,246,262,263,269,238,254,240,230,226,233,242,260,250,266,267,268,252,231,258,234,228,264,255,265,259,211,194,212,182,198,200,204,190,187,216,225,196,202,191,208,203,192,184,199,206,201,217,218,224,193,209,195,185,181,188,197,215,205,221,222,223,207,186,213,189,183,219,210,220,214}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
39

4

{144,141,142,143,28,25,26,27,136,133,134,135,132,129,130,131,96,93,94,95,112,109,110,111,116,113,114,115,20,17,18,19,40,37,38,39,72,69,70,71,84,81,82,83,76,73,74,75,4,1,2,3,32,29,30,31,100,97,98,99,68,65,66,67,92,89,90,91,64,61,62,63,48,45,46,47,156,153,154,155,16,13,14,15,12,9,10,11,104,101,102,103,120,117,118,119,36,33,34,35,148,145,146,147,140,137,138,139,152,149,150,151,80,77,78,79,128,125,126,127,24,21,22,23,88,85,86,87,56,53,54,55,124,121,122,123,108,105,106,107,52,49,50,51,44,41,42,43,60,57,58,59,8,5,6,7}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

11

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

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
17

9

{123,126,124,122,118,121,120,119,125,60,63,61,59,55,58,57,56,62,78,81,79,77,73,76,75,74,80,15,18,16,14,10,13,12,11,17,105,108,106,104,100,103,102,101,107,114,117,115,113,109,112,111,110,116,24,27,25,23,19,22,21,20,26,96,99,97,95,91,94,93,92,98,51,54,52,50,46,49,48,47,53,42,45,43,41,37,40,39,38,44,150,153,151,149,145,148,147,146,152,87,90,88,86,82,85,84,83,89,141,144,142,140,136,139,138,137,143,132,135,133,131,127,130,129,128,134,6,9,7,5,1,4,3,2,8,33,36,34,32,28,31,30,29,35,69,72,70,68,64,67,66,65,71}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
24

31

{429,425,417,408,434,412,426,433,414,415,422,419,413,428,405,424,432,420,431,409,404,418,410,406,423,421,411,416,407,430,427,677,673,665,656,682,660,674,681,662,663,670,667,661,676,653,672,680,668,679,657,652,666,658,654,671,669,659,664,655,678,675,584,580,572,563,589,567,581,588,569,570,577,574,568,583,560,579,587,575,586,564,559,573,565,561,578,576,566,571,562,585,582,181,177,169,160,186,164,178,185,166,167,174,171,165,180,157,176,184,172,183,161,156,170,162,158,175,173,163,168,159,182,179,88,84,76,67,93,71,85,92,73,74,81,78,72,87,64,83,91,79,90,68,63,77,69,65,82,80,70,75,66,89,86,212,208,200,191,217,195,209,216,197,198,205,202,196,211,188,207,215,203,214,192,187,201,193,189,206,204,194,199,190,213,210,460,456,448,439,465,443,457,464,445,446,453,450,444,459,436,455,463,451,462,440,435,449,441,437,454,452,442,447,438,461,458,615,611,603,594,620,598,612,619,600,601,608,605,599,614,591,610,618,606,617,595,590,604,596,592,609,607,597,602,593,616,613,150,146,138,129,155,133,147,154,135,136,143,140,134,149,126,145,153,141,152,130,125,139,131,127,144,142,132,137,128,151,148,305,301,293,284,310,288,302,309,290,291,298,295,289,304,281,300,308,296,307,285,280,294,286,282,299,297,287,292,283,306,303,522,518,510,501,527,505,519,526,507,508,515,512,506,521,498,517,525,513,524,502,497,511,503,499,516,514,504,509,500,523,520,646,642,634,625,651,629,643,650,631,632,639,636,630,645,622,641,649,637,648,626,621,635,627,623,640,638,628,633,624,647,644,243,239,231,222,248,226,240,247,228,229,236,233,227,242,219,238,246,234,245,223,218,232,224,220,237,235,225,230,221,244,241,367,363,355,346,372,350,364,371,352,353,360,357,351,366,343,362,370,358,369,347,342,356,348,344,361,359,349,354,345,368,365,398,394,386,377,403,381,395,402,383,384,391,388,382,397,374,393,401,389,400,378,373,387,379,375,392,390,380,385,376,399,396,57,53,45,36,62,40,54,61,42,43,50,47,41,56,33,52,60,48,59,37,32,46,38,34,51,49,39,44,35,58,55,26,22,14,5,31,9,23,30,11,12,19,16,10,25,2,21,29,17,28,6,1,15,7,3,20,18,8,13,4,27,24,491,487,479,470,496,474,488,495,476,477,484,481,475,490,467,486,494,482,493,471,466,480,472,468,485,483,473,478,469,492,489,739,735,727,718,744,722,736,743,724,725,732,729,723,738,715,734,742,730,741,719,714,728,720,716,733,731,721,726,717,740,737,708,704,696,687,713,691,705,712,693,694,701,698,692,707,684,703,711,699,710,688,683,697,689,685,702,700,690,695,686,709,706,553,549,541,532,558,536,550,557,538,539,546,543,537,552,529,548,556,544,555,533,528,542,534,530,547,545,535,540,531,554,551,274,270,262,253,279,257,271,278,259,260,267,264,258,273,250,269,277,265,276,254,249,263,255,251,268,266,256,261,252,275,272,336,332,324,315,341,319,333,340,321,322,329,326,320,335,312,331,339,327,338,316,311,325,317,313,330,328,318,323,314,337,334,119,115,107,98,124,102,116,123,104,105,112,109,103,118,95,114,122,110,121,99,94,108,100,96,113,111,101,106,97,120,117}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
21

1

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

Returns: "111111111111111111111"
12

31

{210,213,200,212,215,211,205,216,195,204,192,191,202,194,203,197,187,201,190,188,196,198,208,207,193,209,189,206,214,199,217,179,182,169,181,184,180,174,185,164,173,161,160,171,163,172,166,156,170,159,157,165,167,177,176,162,178,158,175,183,168,186,272,275,262,274,277,273,267,278,257,266,254,253,264,256,265,259,249,263,252,250,258,260,270,269,255,271,251,268,276,261,279,55,58,45,57,60,56,50,61,40,49,37,36,47,39,48,42,32,46,35,33,41,43,53,52,38,54,34,51,59,44,62,241,244,231,243,246,242,236,247,226,235,223,222,233,225,234,228,218,232,221,219,227,229,239,238,224,240,220,237,245,230,248,148,151,138,150,153,149,143,154,133,142,130,129,140,132,141,135,125,139,128,126,134,136,146,145,131,147,127,144,152,137,155,24,27,14,26,29,25,19,30,9,18,6,5,16,8,17,11,1,15,4,2,10,12,22,21,7,23,3,20,28,13,31,86,89,76,88,91,87,81,92,71,80,68,67,78,70,79,73,63,77,66,64,72,74,84,83,69,85,65,82,90,75,93,117,120,107,119,122,118,112,123,102,111,99,98,109,101,110,104,94,108,97,95,103,105,115,114,100,116,96,113,121,106,124,303,306,293,305,308,304,298,309,288,297,285,284,295,287,296,290,280,294,283,281,289,291,301,300,286,302,282,299,307,292,310,334,337,324,336,339,335,329,340,319,328,316,315,326,318,327,321,311,325,314,312,320,322,332,331,317,333,313,330,338,323,341,365,368,355,367,370,366,360,371,350,359,347,346,357,349,358,352,342,356,345,343,351,353,363,362,348,364,344,361,369,354,372}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
37

30

{43,50,33,36,47,44,34,35,39,46,49,59,41,31,57,32,42,56,54,53,40,60,37,45,55,51,52,38,48,58,73,80,63,66,77,74,64,65,69,76,79,89,71,61,87,62,72,86,84,83,70,90,67,75,85,81,82,68,78,88,13,20,3,6,17,14,4,5,9,16,19,29,11,1,27,2,12,26,24,23,10,30,7,15,25,21,22,8,18,28,553,560,543,546,557,554,544,545,549,556,559,569,551,541,567,542,552,566,564,563,550,570,547,555,565,561,562,548,558,568,973,980,963,966,977,974,964,965,969,976,979,989,971,961,987,962,972,986,984,983,970,990,967,975,985,981,982,968,978,988,763,770,753,756,767,764,754,755,759,766,769,779,761,751,777,752,762,776,774,773,760,780,757,765,775,771,772,758,768,778,433,440,423,426,437,434,424,425,429,436,439,449,431,421,447,422,432,446,444,443,430,450,427,435,445,441,442,428,438,448,613,620,603,606,617,614,604,605,609,616,619,629,611,601,627,602,612,626,624,623,610,630,607,615,625,621,622,608,618,628,853,860,843,846,857,854,844,845,849,856,859,869,851,841,867,842,852,866,864,863,850,870,847,855,865,861,862,848,858,868,163,170,153,156,167,164,154,155,159,166,169,179,161,151,177,152,162,176,174,173,160,180,157,165,175,171,172,158,168,178,583,590,573,576,587,584,574,575,579,586,589,599,581,571,597,572,582,596,594,593,580,600,577,585,595,591,592,578,588,598,793,800,783,786,797,794,784,785,789,796,799,809,791,781,807,782,792,806,804,803,790,810,787,795,805,801,802,788,798,808,343,350,333,336,347,344,334,335,339,346,349,359,341,331,357,332,342,356,354,353,340,360,337,345,355,351,352,338,348,358,703,710,693,696,707,704,694,695,699,706,709,719,701,691,717,692,702,716,714,713,700,720,697,705,715,711,712,698,708,718,463,470,453,456,467,464,454,455,459,466,469,479,461,451,477,452,462,476,474,473,460,480,457,465,475,471,472,458,468,478,223,230,213,216,227,224,214,215,219,226,229,239,221,211,237,212,222,236,234,233,220,240,217,225,235,231,232,218,228,238,1093,1100,1083,1086,1097,1094,1084,1085,1089,1096,1099,1109,1091,1081,1107,1082,1092,1106,1104,1103,1090,1110,1087,1095,1105,1101,1102,1088,1098,1108,373,380,363,366,377,374,364,365,369,376,379,389,371,361,387,362,372,386,384,383,370,390,367,375,385,381,382,368,378,388,103,110,93,96,107,104,94,95,99,106,109,119,101,91,117,92,102,116,114,113,100,120,97,105,115,111,112,98,108,118,283,290,273,276,287,284,274,275,279,286,289,299,281,271,297,272,282,296,294,293,280,300,277,285,295,291,292,278,288,298,193,200,183,186,197,194,184,185,189,196,199,209,191,181,207,182,192,206,204,203,190,210,187,195,205,201,202,188,198,208,1063,1070,1053,1056,1067,1064,1054,1055,1059,1066,1069,1079,1061,1051,1077,1052,1062,1076,1074,1073,1060,1080,1057,1065,1075,1071,1072,1058,1068,1078,643,650,633,636,647,644,634,635,639,646,649,659,641,631,657,632,642,656,654,653,640,660,637,645,655,651,652,638,648,658,943,950,933,936,947,944,934,935,939,946,949,959,941,931,957,932,942,956,954,953,940,960,937,945,955,951,952,938,948,958,733,740,723,726,737,734,724,725,729,736,739,749,731,721,747,722,732,746,744,743,730,750,727,735,745,741,742,728,738,748,673,680,663,666,677,674,664,665,669,676,679,689,671,661,687,662,672,686,684,683,670,690,667,675,685,681,682,668,678,688,253,260,243,246,257,254,244,245,249,256,259,269,251,241,267,242,252,266,264,263,250,270,247,255,265,261,262,248,258,268,883,890,873,876,887,884,874,875,879,886,889,899,881,871,897,872,882,896,894,893,880,900,877,885,895,891,892,878,888,898,493,500,483,486,497,494,484,485,489,496,499,509,491,481,507,482,492,506,504,503,490,510,487,495,505,501,502,488,498,508,133,140,123,126,137,134,124,125,129,136,139,149,131,121,147,122,132,146,144,143,130,150,127,135,145,141,142,128,138,148,313,320,303,306,317,314,304,305,309,316,319,329,311,301,327,302,312,326,324,323,310,330,307,315,325,321,322,308,318,328,403,410,393,396,407,404,394,395,399,406,409,419,401,391,417,392,402,416,414,413,400,420,397,405,415,411,412,398,408,418,523,530,513,516,527,524,514,515,519,526,529,539,521,511,537,512,522,536,534,533,520,540,517,525,535,531,532,518,528,538,823,830,813,816,827,824,814,815,819,826,829,839,821,811,837,812,822,836,834,833,820,840,817,825,835,831,832,818,828,838,1003,1010,993,996,1007,1004,994,995,999,1006,1009,1019,1001,991,1017,992,1002,1016,1014,1013,1000,1020,997,1005,1015,1011,1012,998,1008,1018,913,920,903,906,917,914,904,905,909,916,919,929,911,901,927,902,912,926,924,923,910,930,907,915,925,921,922,908,918,928,1033,1040,1023,1026,1037,1034,1024,1025,1029,1036,1039,1049,1031,1021,1047,1022,1032,1046,1044,1043,1030,1050,1027,1035,1045,1041,1042,1028,1038,1048}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
3

39

{17,35,5,21,27,6,25,19,20,36,29,37,12,34,3,39,15,8,24,28,14,9,11,31,10,30,22,18,1,38,13,7,16,2,4,32,23,33,26,56,74,44,60,66,45,64,58,59,75,68,76,51,73,42,78,54,47,63,67,53,48,50,70,49,69,61,57,40,77,52,46,55,41,43,71,62,72,65,95,113,83,99,105,84,103,97,98,114,107,115,90,112,81,117,93,86,102,106,92,87,89,109,88,108,100,96,79,116,91,85,94,80,82,110,101,111,104}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
37

37

{489,493,518,507,509,514,485,504,498,499,486,506,517,492,508,502,494,516,483,488,495,491,513,505,501,510,484,511,487,490,500,512,482,515,503,496,497,1340,1344,1369,1358,1360,1365,1336,1355,1349,1350,1337,1357,1368,1343,1359,1353,1345,1367,1334,1339,1346,1342,1364,1356,1352,1361,1335,1362,1338,1341,1351,1363,1333,1366,1354,1347,1348,526,530,555,544,546,551,522,541,535,536,523,543,554,529,545,539,531,553,520,525,532,528,550,542,538,547,521,548,524,527,537,549,519,552,540,533,534,1303,1307,1332,1321,1323,1328,1299,1318,1312,1313,1300,1320,1331,1306,1322,1316,1308,1330,1297,1302,1309,1305,1327,1319,1315,1324,1298,1325,1301,1304,1314,1326,1296,1329,1317,1310,1311,563,567,592,581,583,588,559,578,572,573,560,580,591,566,582,576,568,590,557,562,569,565,587,579,575,584,558,585,561,564,574,586,556,589,577,570,571,933,937,962,951,953,958,929,948,942,943,930,950,961,936,952,946,938,960,927,932,939,935,957,949,945,954,928,955,931,934,944,956,926,959,947,940,941,674,678,703,692,694,699,670,689,683,684,671,691,702,677,693,687,679,701,668,673,680,676,698,690,686,695,669,696,672,675,685,697,667,700,688,681,682,82,86,111,100,102,107,78,97,91,92,79,99,110,85,101,95,87,109,76,81,88,84,106,98,94,103,77,104,80,83,93,105,75,108,96,89,90,859,863,888,877,879,884,855,874,868,869,856,876,887,862,878,872,864,886,853,858,865,861,883,875,871,880,854,881,857,860,870,882,852,885,873,866,867,267,271,296,285,287,292,263,282,276,277,264,284,295,270,286,280,272,294,261,266,273,269,291,283,279,288,262,289,265,268,278,290,260,293,281,274,275,304,308,333,322,324,329,300,319,313,314,301,321,332,307,323,317,309,331,298,303,310,306,328,320,316,325,299,326,302,305,315,327,297,330,318,311,312,822,826,851,840,842,847,818,837,831,832,819,839,850,825,841,835,827,849,816,821,828,824,846,838,834,843,817,844,820,823,833,845,815,848,836,829,830,341,345,370,359,361,366,337,356,350,351,338,358,369,344,360,354,346,368,335,340,347,343,365,357,353,362,336,363,339,342,352,364,334,367,355,348,349,415,419,444,433,435,440,411,430,424,425,412,432,443,418,434,428,420,442,409,414,421,417,439,431,427,436,410,437,413,416,426,438,408,441,429,422,423,1007,1011,1036,1025,1027,1032,1003,1022,1016,1017,1004,1024,1035,1010,1026,1020,1012,1034,1001,1006,1013,1009,1031,1023,1019,1028,1002,1029,1005,1008,1018,1030,1000,1033,1021,1014,1015,193,197,222,211,213,218,189,208,202,203,190,210,221,196,212,206,198,220,187,192,199,195,217,209,205,214,188,215,191,194,204,216,186,219,207,200,201,896,900,925,914,916,921,892,911,905,906,893,913,924,899,915,909,901,923,890,895,902,898,920,912,908,917,891,918,894,897,907,919,889,922,910,903,904,452,456,481,470,472,477,448,467,461,462,449,469,480,455,471,465,457,479,446,451,458,454,476,468,464,473,447,474,450,453,463,475,445,478,466,459,460,378,382,407,396,398,403,374,393,387,388,375,395,406,381,397,391,383,405,372,377,384,380,402,394,390,399,373,400,376,379,389,401,371,404,392,385,386,45,49,74,63,65,70,41,60,54,55,42,62,73,48,64,58,50,72,39,44,51,47,69,61,57,66,40,67,43,46,56,68,38,71,59,52,53,1081,1085,1110,1099,1101,1106,1077,1096,1090,1091,1078,1098,1109,1084,1100,1094,1086,1108,1075,1080,1087,1083,1105,1097,1093,1102,1076,1103,1079,1082,1092,1104,1074,1107,1095,1088,1089,1229,1233,1258,1247,1249,1254,1225,1244,1238,1239,1226,1246,1257,1232,1248,1242,1234,1256,1223,1228,1235,1231,1253,1245,1241,1250,1224,1251,1227,1230,1240,1252,1222,1255,1243,1236,1237,230,234,259,248,250,255,226,245,239,240,227,247,258,233,249,243,235,257,224,229,236,232,254,246,242,251,225,252,228,231,241,253,223,256,244,237,238,711,715,740,729,731,736,707,726,720,721,708,728,739,714,730,724,716,738,705,710,717,713,735,727,723,732,706,733,709,712,722,734,704,737,725,718,719,637,641,666,655,657,662,633,652,646,647,634,654,665,640,656,650,642,664,631,636,643,639,661,653,649,658,632,659,635,638,648,660,630,663,651,644,645,970,974,999,988,990,995,966,985,979,980,967,987,998,973,989,983,975,997,964,969,976,972,994,986,982,991,965,992,968,971,981,993,963,996,984,977,978,1118,1122,1147,1136,1138,1143,1114,1133,1127,1128,1115,1135,1146,1121,1137,1131,1123,1145,1112,1117,1124,1120,1142,1134,1130,1139,1113,1140,1116,1119,1129,1141,1111,1144,1132,1125,1126,600,604,629,618,620,625,596,615,609,610,597,617,628,603,619,613,605,627,594,599,606,602,624,616,612,621,595,622,598,601,611,623,593,626,614,607,608,748,752,777,766,768,773,744,763,757,758,745,765,776,751,767,761,753,775,742,747,754,750,772,764,760,769,743,770,746,749,759,771,741,774,762,755,756,1266,1270,1295,1284,1286,1291,1262,1281,1275,1276,1263,1283,1294,1269,1285,1279,1271,1293,1260,1265,1272,1268,1290,1282,1278,1287,1261,1288,1264,1267,1277,1289,1259,1292,1280,1273,1274,156,160,185,174,176,181,152,171,165,166,153,173,184,159,175,169,161,183,150,155,162,158,180,172,168,177,151,178,154,157,167,179,149,182,170,163,164,119,123,148,137,139,144,115,134,128,129,116,136,147,122,138,132,124,146,113,118,125,121,143,135,131,140,114,141,117,120,130,142,112,145,133,126,127,8,12,37,26,28,33,4,23,17,18,5,25,36,11,27,21,13,35,2,7,14,10,32,24,20,29,3,30,6,9,19,31,1,34,22,15,16,785,789,814,803,805,810,781,800,794,795,782,802,813,788,804,798,790,812,779,784,791,787,809,801,797,806,780,807,783,786,796,808,778,811,799,792,793,1192,1196,1221,1210,1212,1217,1188,1207,1201,1202,1189,1209,1220,1195,1211,1205,1197,1219,1186,1191,1198,1194,1216,1208,1204,1213,1187,1214,1190,1193,1203,1215,1185,1218,1206,1199,1200,1155,1159,1184,1173,1175,1180,1151,1170,1164,1165,1152,1172,1183,1158,1174,1168,1160,1182,1149,1154,1161,1157,1179,1171,1167,1176,1150,1177,1153,1156,1166,1178,1148,1181,1169,1162,1163,1044,1048,1073,1062,1064,1069,1040,1059,1053,1054,1041,1061,1072,1047,1063,1057,1049,1071,1038,1043,1050,1046,1068,1060,1056,1065,1039,1066,1042,1045,1055,1067,1037,1070,1058,1051,1052}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
8

2

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

Returns: "1111111111111111"
40

39

{722,727,710,741,706,717,732,726,724,713,712,731,729,708,734,723,738,740,730,739,718,735,715,716,733,725,711,721,719,736,705,714,720,728,737,703,707,709,704,1307,1312,1295,1326,1291,1302,1317,1311,1309,1298,1297,1316,1314,1293,1319,1308,1323,1325,1315,1324,1303,1320,1300,1301,1318,1310,1296,1306,1304,1321,1290,1299,1305,1313,1322,1288,1292,1294,1289,137,142,125,156,121,132,147,141,139,128,127,146,144,123,149,138,153,155,145,154,133,150,130,131,148,140,126,136,134,151,120,129,135,143,152,118,122,124,119,1463,1468,1451,1482,1447,1458,1473,1467,1465,1454,1453,1472,1470,1449,1475,1464,1479,1481,1471,1480,1459,1476,1456,1457,1474,1466,1452,1462,1460,1477,1446,1455,1461,1469,1478,1444,1448,1450,1445,254,259,242,273,238,249,264,258,256,245,244,263,261,240,266,255,270,272,262,271,250,267,247,248,265,257,243,253,251,268,237,246,252,260,269,235,239,241,236,1034,1039,1022,1053,1018,1029,1044,1038,1036,1025,1024,1043,1041,1020,1046,1035,1050,1052,1042,1051,1030,1047,1027,1028,1045,1037,1023,1033,1031,1048,1017,1026,1032,1040,1049,1015,1019,1021,1016,215,220,203,234,199,210,225,219,217,206,205,224,222,201,227,216,231,233,223,232,211,228,208,209,226,218,204,214,212,229,198,207,213,221,230,196,200,202,197,995,1000,983,1014,979,990,1005,999,997,986,985,1004,1002,981,1007,996,1011,1013,1003,1012,991,1008,988,989,1006,998,984,994,992,1009,978,987,993,1001,1010,976,980,982,977,293,298,281,312,277,288,303,297,295,284,283,302,300,279,305,294,309,311,301,310,289,306,286,287,304,296,282,292,290,307,276,285,291,299,308,274,278,280,275,98,103,86,117,82,93,108,102,100,89,88,107,105,84,110,99,114,116,106,115,94,111,91,92,109,101,87,97,95,112,81,90,96,104,113,79,83,85,80,527,532,515,546,511,522,537,531,529,518,517,536,534,513,539,528,543,545,535,544,523,540,520,521,538,530,516,526,524,541,510,519,525,533,542,508,512,514,509,449,454,437,468,433,444,459,453,451,440,439,458,456,435,461,450,465,467,457,466,445,462,442,443,460,452,438,448,446,463,432,441,447,455,464,430,434,436,431,176,181,164,195,160,171,186,180,178,167,166,185,183,162,188,177,192,194,184,193,172,189,169,170,187,179,165,175,173,190,159,168,174,182,191,157,161,163,158,917,922,905,936,901,912,927,921,919,908,907,926,924,903,929,918,933,935,925,934,913,930,910,911,928,920,906,916,914,931,900,909,915,923,932,898,902,904,899,644,649,632,663,628,639,654,648,646,635,634,653,651,630,656,645,660,662,652,661,640,657,637,638,655,647,633,643,641,658,627,636,642,650,659,625,629,631,626,878,883,866,897,862,873,888,882,880,869,868,887,885,864,890,879,894,896,886,895,874,891,871,872,889,881,867,877,875,892,861,870,876,884,893,859,863,865,860,761,766,749,780,745,756,771,765,763,752,751,770,768,747,773,762,777,779,769,778,757,774,754,755,772,764,750,760,758,775,744,753,759,767,776,742,746,748,743,683,688,671,702,667,678,693,687,685,674,673,692,690,669,695,684,699,701,691,700,679,696,676,677,694,686,672,682,680,697,666,675,681,689,698,664,668,670,665,839,844,827,858,823,834,849,843,841,830,829,848,846,825,851,840,855,857,847,856,835,852,832,833,850,842,828,838,836,853,822,831,837,845,854,820,824,826,821,1385,1390,1373,1404,1369,1380,1395,1389,1387,1376,1375,1394,1392,1371,1397,1386,1401,1403,1393,1402,1381,1398,1378,1379,1396,1388,1374,1384,1382,1399,1368,1377,1383,1391,1400,1366,1370,1372,1367,1151,1156,1139,1170,1135,1146,1161,1155,1153,1142,1141,1160,1158,1137,1163,1152,1167,1169,1159,1168,1147,1164,1144,1145,1162,1154,1140,1150,1148,1165,1134,1143,1149,1157,1166,1132,1136,1138,1133,488,493,476,507,472,483,498,492,490,479,478,497,495,474,500,489,504,506,496,505,484,501,481,482,499,491,477,487,485,502,471,480,486,494,503,469,473,475,470,371,376,359,390,355,366,381,375,373,362,361,380,378,357,383,372,387,389,379,388,367,384,364,365,382,374,360,370,368,385,354,363,369,377,386,352,356,358,353,410,415,398,429,394,405,420,414,412,401,400,419,417,396,422,411,426,428,418,427,406,423,403,404,421,413,399,409,407,424,393,402,408,416,425,391,395,397,392,956,961,944,975,940,951,966,960,958,947,946,965,963,942,968,957,972,974,964,973,952,969,949,950,967,959,945,955,953,970,939,948,954,962,971,937,941,943,938,59,64,47,78,43,54,69,63,61,50,49,68,66,45,71,60,75,77,67,76,55,72,52,53,70,62,48,58,56,73,42,51,57,65,74,40,44,46,41,1346,1351,1334,1365,1330,1341,1356,1350,1348,1337,1336,1355,1353,1332,1358,1347,1362,1364,1354,1363,1342,1359,1339,1340,1357,1349,1335,1345,1343,1360,1329,1338,1344,1352,1361,1327,1331,1333,1328,1541,1546,1529,1560,1525,1536,1551,1545,1543,1532,1531,1550,1548,1527,1553,1542,1557,1559,1549,1558,1537,1554,1534,1535,1552,1544,1530,1540,1538,1555,1524,1533,1539,1547,1556,1522,1526,1528,1523,1073,1078,1061,1092,1057,1068,1083,1077,1075,1064,1063,1082,1080,1059,1085,1074,1089,1091,1081,1090,1069,1086,1066,1067,1084,1076,1062,1072,1070,1087,1056,1065,1071,1079,1088,1054,1058,1060,1055,1190,1195,1178,1209,1174,1185,1200,1194,1192,1181,1180,1199,1197,1176,1202,1191,1206,1208,1198,1207,1186,1203,1183,1184,1201,1193,1179,1189,1187,1204,1173,1182,1188,1196,1205,1171,1175,1177,1172,332,337,320,351,316,327,342,336,334,323,322,341,339,318,344,333,348,350,340,349,328,345,325,326,343,335,321,331,329,346,315,324,330,338,347,313,317,319,314,1112,1117,1100,1131,1096,1107,1122,1116,1114,1103,1102,1121,1119,1098,1124,1113,1128,1130,1120,1129,1108,1125,1105,1106,1123,1115,1101,1111,1109,1126,1095,1104,1110,1118,1127,1093,1097,1099,1094,1502,1507,1490,1521,1486,1497,1512,1506,1504,1493,1492,1511,1509,1488,1514,1503,1518,1520,1510,1519,1498,1515,1495,1496,1513,1505,1491,1501,1499,1516,1485,1494,1500,1508,1517,1483,1487,1489,1484,605,610,593,624,589,600,615,609,607,596,595,614,612,591,617,606,621,623,613,622,601,618,598,599,616,608,594,604,602,619,588,597,603,611,620,586,590,592,587,1229,1234,1217,1248,1213,1224,1239,1233,1231,1220,1219,1238,1236,1215,1241,1230,1245,1247,1237,1246,1225,1242,1222,1223,1240,1232,1218,1228,1226,1243,1212,1221,1227,1235,1244,1210,1214,1216,1211,566,571,554,585,550,561,576,570,568,557,556,575,573,552,578,567,582,584,574,583,562,579,559,560,577,569,555,565,563,580,549,558,564,572,581,547,551,553,548,1268,1273,1256,1287,1252,1263,1278,1272,1270,1259,1258,1277,1275,1254,1280,1269,1284,1286,1276,1285,1264,1281,1261,1262,1279,1271,1257,1267,1265,1282,1251,1260,1266,1274,1283,1249,1253,1255,1250,1424,1429,1412,1443,1408,1419,1434,1428,1426,1415,1414,1433,1431,1410,1436,1425,1440,1442,1432,1441,1420,1437,1417,1418,1435,1427,1413,1423,1421,1438,1407,1416,1422,1430,1439,1405,1409,1411,1406,800,805,788,819,784,795,810,804,802,791,790,809,807,786,812,801,816,818,808,817,796,813,793,794,811,803,789,799,797,814,783,792,798,806,815,781,785,787,782,20,25,8,39,4,15,30,24,22,11,10,29,27,6,32,21,36,38,28,37,16,33,13,14,31,23,9,19,17,34,3,12,18,26,35,1,5,7,2}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
26

39

{997,1011,1012,985,1000,992,991,1013,982,1004,1002,978,977,981,1008,990,993,999,987,989,1001,983,1007,1005,980,996,979,1014,1003,994,988,998,1010,984,995,986,976,1009,1006,880,894,895,868,883,875,874,896,865,887,885,861,860,864,891,873,876,882,870,872,884,866,890,888,863,879,862,897,886,877,871,881,893,867,878,869,859,892,889,100,114,115,88,103,95,94,116,85,107,105,81,80,84,111,93,96,102,90,92,104,86,110,108,83,99,82,117,106,97,91,101,113,87,98,89,79,112,109,139,153,154,127,142,134,133,155,124,146,144,120,119,123,150,132,135,141,129,131,143,125,149,147,122,138,121,156,145,136,130,140,152,126,137,128,118,151,148,841,855,856,829,844,836,835,857,826,848,846,822,821,825,852,834,837,843,831,833,845,827,851,849,824,840,823,858,847,838,832,842,854,828,839,830,820,853,850,256,270,271,244,259,251,250,272,241,263,261,237,236,240,267,249,252,258,246,248,260,242,266,264,239,255,238,273,262,253,247,257,269,243,254,245,235,268,265,295,309,310,283,298,290,289,311,280,302,300,276,275,279,306,288,291,297,285,287,299,281,305,303,278,294,277,312,301,292,286,296,308,282,293,284,274,307,304,646,660,661,634,649,641,640,662,631,653,651,627,626,630,657,639,642,648,636,638,650,632,656,654,629,645,628,663,652,643,637,647,659,633,644,635,625,658,655,685,699,700,673,688,680,679,701,670,692,690,666,665,669,696,678,681,687,675,677,689,671,695,693,668,684,667,702,691,682,676,686,698,672,683,674,664,697,694,334,348,349,322,337,329,328,350,319,341,339,315,314,318,345,327,330,336,324,326,338,320,344,342,317,333,316,351,340,331,325,335,347,321,332,323,313,346,343,958,972,973,946,961,953,952,974,943,965,963,939,938,942,969,951,954,960,948,950,962,944,968,966,941,957,940,975,964,955,949,959,971,945,956,947,937,970,967,178,192,193,166,181,173,172,194,163,185,183,159,158,162,189,171,174,180,168,170,182,164,188,186,161,177,160,195,184,175,169,179,191,165,176,167,157,190,187,61,75,76,49,64,56,55,77,46,68,66,42,41,45,72,54,57,63,51,53,65,47,71,69,44,60,43,78,67,58,52,62,74,48,59,50,40,73,70,919,933,934,907,922,914,913,935,904,926,924,900,899,903,930,912,915,921,909,911,923,905,929,927,902,918,901,936,925,916,910,920,932,906,917,908,898,931,928,724,738,739,712,727,719,718,740,709,731,729,705,704,708,735,717,720,726,714,716,728,710,734,732,707,723,706,741,730,721,715,725,737,711,722,713,703,736,733,373,387,388,361,376,368,367,389,358,380,378,354,353,357,384,366,369,375,363,365,377,359,383,381,356,372,355,390,379,370,364,374,386,360,371,362,352,385,382,763,777,778,751,766,758,757,779,748,770,768,744,743,747,774,756,759,765,753,755,767,749,773,771,746,762,745,780,769,760,754,764,776,750,761,752,742,775,772,22,36,37,10,25,17,16,38,7,29,27,3,2,6,33,15,18,24,12,14,26,8,32,30,5,21,4,39,28,19,13,23,35,9,20,11,1,34,31,451,465,466,439,454,446,445,467,436,458,456,432,431,435,462,444,447,453,441,443,455,437,461,459,434,450,433,468,457,448,442,452,464,438,449,440,430,463,460,802,816,817,790,805,797,796,818,787,809,807,783,782,786,813,795,798,804,792,794,806,788,812,810,785,801,784,819,808,799,793,803,815,789,800,791,781,814,811,607,621,622,595,610,602,601,623,592,614,612,588,587,591,618,600,603,609,597,599,611,593,617,615,590,606,589,624,613,604,598,608,620,594,605,596,586,619,616,217,231,232,205,220,212,211,233,202,224,222,198,197,201,228,210,213,219,207,209,221,203,227,225,200,216,199,234,223,214,208,218,230,204,215,206,196,229,226,529,543,544,517,532,524,523,545,514,536,534,510,509,513,540,522,525,531,519,521,533,515,539,537,512,528,511,546,535,526,520,530,542,516,527,518,508,541,538,412,426,427,400,415,407,406,428,397,419,417,393,392,396,423,405,408,414,402,404,416,398,422,420,395,411,394,429,418,409,403,413,425,399,410,401,391,424,421,490,504,505,478,493,485,484,506,475,497,495,471,470,474,501,483,486,492,480,482,494,476,500,498,473,489,472,507,496,487,481,491,503,477,488,479,469,502,499,568,582,583,556,571,563,562,584,553,575,573,549,548,552,579,561,564,570,558,560,572,554,578,576,551,567,550,585,574,565,559,569,581,555,566,557,547,580,577}

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
24

23

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

Returns: "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
43

14

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

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

50

{582,557,592,596,599,585,573,561,567,563,564,591,555,577,568,578,570,600,597,565,551,556,584,560,580,559,583,566,586,562,553,552,589,554,575,572,569,576,558,579,588,581,590,574,595,593,587,598,571,594,282,257,292,296,299,285,273,261,267,263,264,291,255,277,268,278,270,300,297,265,251,256,284,260,280,259,283,266,286,262,253,252,289,254,275,272,269,276,258,279,288,281,290,274,295,293,287,298,271,294,182,157,192,196,199,185,173,161,167,163,164,191,155,177,168,178,170,200,197,165,151,156,184,160,180,159,183,166,186,162,153,152,189,154,175,172,169,176,158,179,188,181,190,174,195,193,187,198,171,194,1082,1057,1092,1096,1099,1085,1073,1061,1067,1063,1064,1091,1055,1077,1068,1078,1070,1100,1097,1065,1051,1056,1084,1060,1080,1059,1083,1066,1086,1062,1053,1052,1089,1054,1075,1072,1069,1076,1058,1079,1088,1081,1090,1074,1095,1093,1087,1098,1071,1094,1682,1657,1692,1696,1699,1685,1673,1661,1667,1663,1664,1691,1655,1677,1668,1678,1670,1700,1697,1665,1651,1656,1684,1660,1680,1659,1683,1666,1686,1662,1653,1652,1689,1654,1675,1672,1669,1676,1658,1679,1688,1681,1690,1674,1695,1693,1687,1698,1671,1694,1732,1707,1742,1746,1749,1735,1723,1711,1717,1713,1714,1741,1705,1727,1718,1728,1720,1750,1747,1715,1701,1706,1734,1710,1730,1709,1733,1716,1736,1712,1703,1702,1739,1704,1725,1722,1719,1726,1708,1729,1738,1731,1740,1724,1745,1743,1737,1748,1721,1744,1532,1507,1542,1546,1549,1535,1523,1511,1517,1513,1514,1541,1505,1527,1518,1528,1520,1550,1547,1515,1501,1506,1534,1510,1530,1509,1533,1516,1536,1512,1503,1502,1539,1504,1525,1522,1519,1526,1508,1529,1538,1531,1540,1524,1545,1543,1537,1548,1521,1544,482,457,492,496,499,485,473,461,467,463,464,491,455,477,468,478,470,500,497,465,451,456,484,460,480,459,483,466,486,462,453,452,489,454,475,472,469,476,458,479,488,481,490,474,495,493,487,498,471,494,1482,1457,1492,1496,1499,1485,1473,1461,1467,1463,1464,1491,1455,1477,1468,1478,1470,1500,1497,1465,1451,1456,1484,1460,1480,1459,1483,1466,1486,1462,1453,1452,1489,1454,1475,1472,1469,1476,1458,1479,1488,1481,1490,1474,1495,1493,1487,1498,1471,1494,382,357,392,396,399,385,373,361,367,363,364,391,355,377,368,378,370,400,397,365,351,356,384,360,380,359,383,366,386,362,353,352,389,354,375,372,369,376,358,379,388,381,390,374,395,393,387,398,371,394,2232,2207,2242,2246,2249,2235,2223,2211,2217,2213,2214,2241,2205,2227,2218,2228,2220,2250,2247,2215,2201,2206,2234,2210,2230,2209,2233,2216,2236,2212,2203,2202,2239,2204,2225,2222,2219,2226,2208,2229,2238,2231,2240,2224,2245,2243,2237,2248,2221,2244,232,207,242,246,249,235,223,211,217,213,214,241,205,227,218,228,220,250,247,215,201,206,234,210,230,209,233,216,236,212,203,202,239,204,225,222,219,226,208,229,238,231,240,224,245,243,237,248,221,244,682,657,692,696,699,685,673,661,667,663,664,691,655,677,668,678,670,700,697,665,651,656,684,660,680,659,683,666,686,662,653,652,689,654,675,672,669,676,658,679,688,681,690,674,695,693,687,698,671,694,832,807,842,846,849,835,823,811,817,813,814,841,805,827,818,828,820,850,847,815,801,806,834,810,830,809,833,816,836,812,803,802,839,804,825,822,819,826,808,829,838,831,840,824,845,843,837,848,821,844,1032,1007,1042,1046,1049,1035,1023,1011,1017,1013,1014,1041,1005,1027,1018,1028,1020,1050,1047,1015,1001,1006,1034,1010,1030,1009,1033,1016,1036,1012,1003,1002,1039,1004,1025,1022,1019,1026,1008,1029,1038,1031,1040,1024,1045,1043,1037,1048,1021,1044,532,507,542,546,549,535,523,511,517,513,514,541,505,527,518,528,520,550,547,515,501,506,534,510,530,509,533,516,536,512,503,502,539,504,525,522,519,526,508,529,538,531,540,524,545,543,537,548,521,544,732,707,742,746,749,735,723,711,717,713,714,741,705,727,718,728,720,750,747,715,701,706,734,710,730,709,733,716,736,712,703,702,739,704,725,722,719,726,708,729,738,731,740,724,745,743,737,748,721,744,1932,1907,1942,1946,1949,1935,1923,1911,1917,1913,1914,1941,1905,1927,1918,1928,1920,1950,1947,1915,1901,1906,1934,1910,1930,1909,1933,1916,1936,1912,1903,1902,1939,1904,1925,1922,1919,1926,1908,1929,1938,1931,1940,1924,1945,1943,1937,1948,1921,1944,1232,1207,1242,1246,1249,1235,1223,1211,1217,1213,1214,1241,1205,1227,1218,1228,1220,1250,1247,1215,1201,1206,1234,1210,1230,1209,1233,1216,1236,1212,1203,1202,1239,1204,1225,1222,1219,1226,1208,1229,1238,1231,1240,1224,1245,1243,1237,1248,1221,1244,2382,2357,2392,2396,2399,2385,2373,2361,2367,2363,2364,2391,2355,2377,2368,2378,2370,2400,2397,2365,2351,2356,2384,2360,2380,2359,2383,2366,2386,2362,2353,2352,2389,2354,2375,2372,2369,2376,2358,2379,2388,2381,2390,2374,2395,2393,2387,2398,2371,2394,1432,1407,1442,1446,1449,1435,1423,1411,1417,1413,1414,1441,1405,1427,1418,1428,1420,1450,1447,1415,1401,1406,1434,1410,1430,1409,1433,1416,1436,1412,1403,1402,1439,1404,1425,1422,1419,1426,1408,1429,1438,1431,1440,1424,1445,1443,1437,1448,1421,1444,2332,2307,2342,2346,2349,2335,2323,2311,2317,2313,2314,2341,2305,2327,2318,2328,2320,2350,2347,2315,2301,2306,2334,2310,2330,2309,2333,2316,2336,2312,2303,2302,2339,2304,2325,2322,2319,2326,2308,2329,2338,2331,2340,2324,2345,2343,2337,2348,2321,2344,1582,1557,1592,1596,1599,1585,1573,1561,1567,1563,1564,1591,1555,1577,1568,1578,1570,1600,1597,1565,1551,1556,1584,1560,1580,1559,1583,1566,1586,1562,1553,1552,1589,1554,1575,1572,1569,1576,1558,1579,1588,1581,1590,1574,1595,1593,1587,1598,1571,1594,2032,2007,2042,2046,2049,2035,2023,2011,2017,2013,2014,2041,2005,2027,2018,2028,2020,2050,2047,2015,2001,2006,2034,2010,2030,2009,2033,2016,2036,2012,2003,2002,2039,2004,2025,2022,2019,2026,2008,2029,2038,2031,2040,2024,2045,2043,2037,2048,2021,2044,982,957,992,996,999,985,973,961,967,963,964,991,955,977,968,978,970,1000,997,965,951,956,984,960,980,959,983,966,986,962,953,952,989,954,975,972,969,976,958,979,988,981,990,974,995,993,987,998,971,994,432,407,442,446,449,435,423,411,417,413,414,441,405,427,418,428,420,450,447,415,401,406,434,410,430,409,433,416,436,412,403,402,439,404,425,422,419,426,408,429,438,431,440,424,445,443,437,448,421,444,1132,1107,1142,1146,1149,1135,1123,1111,1117,1113,1114,1141,1105,1127,1118,1128,1120,1150,1147,1115,1101,1106,1134,1110,1130,1109,1133,1116,1136,1112,1103,1102,1139,1104,1125,1122,1119,1126,1108,1129,1138,1131,1140,1124,1145,1143,1137,1148,1121,1144,1332,1307,1342,1346,1349,1335,1323,1311,1317,1313,1314,1341,1305,1327,1318,1328,1320,1350,1347,1315,1301,1306,1334,1310,1330,1309,1333,1316,1336,1312,1303,1302,1339,1304,1325,1322,1319,1326,1308,1329,1338,1331,1340,1324,1345,1343,1337,1348,1321,1344,1982,1957,1992,1996,1999,1985,1973,1961,1967,1963,1964,1991,1955,1977,1968,1978,1970,2000,1997,1965,1951,1956,1984,1960,1980,1959,1983,1966,1986,1962,1953,1952,1989,1954,1975,1972,1969,1976,1958,1979,1988,1981,1990,1974,1995,1993,1987,1998,1971,1994,632,607,642,646,649,635,623,611,617,613,614,641,605,627,618,628,620,650,647,615,601,606,634,610,630,609,633,616,636,612,603,602,639,604,625,622,619,626,608,629,638,631,640,624,645,643,637,648,621,644,932,907,942,946,949,935,923,911,917,913,914,941,905,927,918,928,920,950,947,915,901,906,934,910,930,909,933,916,936,912,903,902,939,904,925,922,919,926,908,929,938,931,940,924,945,943,937,948,921,944,1282,1257,1292,1296,1299,1285,1273,1261,1267,1263,1264,1291,1255,1277,1268,1278,1270,1300,1297,1265,1251,1256,1284,1260,1280,1259,1283,1266,1286,1262,1253,1252,1289,1254,1275,1272,1269,1276,1258,1279,1288,1281,1290,1274,1295,1293,1287,1298,1271,1294,1782,1757,1792,1796,1799,1785,1773,1761,1767,1763,1764,1791,1755,1777,1768,1778,1770,1800,1797,1765,1751,1756,1784,1760,1780,1759,1783,1766,1786,1762,1753,1752,1789,1754,1775,1772,1769,1776,1758,1779,1788,1781,1790,1774,1795,1793,1787,1798,1771,1794,2482,2457,2492,2496,2499,2485,2473,2461,2467,2463,2464,2491,2455,2477,2468,2478,2470,2500,2497,2465,2451,2456,2484,2460,2480,2459,2483,2466,2486,2462,2453,2452,2489,2454,2475,2472,2469,2476,2458,2479,2488,2481,2490,2474,2495,2493,2487,2498,2471,2494,2132,2107,2142,2146,2149,2135,2123,2111,2117,2113,2114,2141,2105,2127,2118,2128,2120,2150,2147,2115,2101,2106,2134,2110,2130,2109,2133,2116,2136,2112,2103,2102,2139,2104,2125,2122,2119,2126,2108,2129,2138,2131,2140,2124,2145,2143,2137,2148,2121,2144,82,57,92,96,99,85,73,61,67,63,64,91,55,77,68,78,70,100,97,65,51,56,84,60,80,59,83,66,86,62,53,52,89,54,75,72,69,76,58,79,88,81,90,74,95,93,87,98,71,94,2282,2257,2292,2296,2299,2285,2273,2261,2267,2263,2264,2291,2255,2277,2268,2278,2270,2300,2297,2265,2251,2256,2284,2260,2280,2259,2283,2266,2286,2262,2253,2252,2289,2254,2275,2272,2269,2276,2258,2279,2288,2281,2290,2274,2295,2293,2287,2298,2271,2294,2432,2407,2442,2446,2449,2435,2423,2411,2417,2413,2414,2441,2405,2427,2418,2428,2420,2450,2447,2415,2401,2406,2434,2410,2430,2409,2433,2416,2436,2412,2403,2402,2439,2404,2425,2422,2419,2426,2408,2429,2438,2431,2440,2424,2445,2443,2437,2448,2421,2444,32,7,42,46,49,35,23,11,17,13,14,41,5,27,18,28,20,50,47,15,1,6,34,10,30,9,33,16,36,12,3,2,39,4,25,22,19,26,8,29,38,31,40,24,45,43,37,48,21,44,2082,2057,2092,2096,2099,2085,2073,2061,2067,2063,2064,2091,2055,2077,2068,2078,2070,2100,2097,2065,2051,2056,2084,2060,2080,2059,2083,2066,2086,2062,2053,2052,2089,2054,2075,2072,2069,2076,2058,2079,2088,2081,2090,2074,2095,2093,2087,2098,2071,2094,782,757,792,796,799,785,773,761,767,763,764,791,755,777,768,778,770,800,797,765,751,756,784,760,780,759,783,766,786,762,753,752,789,754,775,772,769,776,758,779,788,781,790,774,795,793,787,798,771,794,132,107,142,146,149,135,123,111,117,113,114,141,105,127,118,128,120,150,147,115,101,106,134,110,130,109,133,116,136,112,103,102,139,104,125,122,119,126,108,129,138,131,140,124,145,143,137,148,121,144,1382,1357,1392,1396,1399,1385,1373,1361,1367,1363,1364,1391,1355,1377,1368,1378,1370,1400,1397,1365,1351,1356,1384,1360,1380,1359,1383,1366,1386,1362,1353,1352,1389,1354,1375,1372,1369,1376,1358,1379,1388,1381,1390,1374,1395,1393,1387,1398,1371,1394,1832,1807,1842,1846,1849,1835,1823,1811,1817,1813,1814,1841,1805,1827,1818,1828,1820,1850,1847,1815,1801,1806,1834,1810,1830,1809,1833,1816,1836,1812,1803,1802,1839,1804,1825,1822,1819,1826,1808,1829,1838,1831,1840,1824,1845,1843,1837,1848,1821,1844,1632,1607,1642,1646,1649,1635,1623,1611,1617,1613,1614,1641,1605,1627,1618,1628,1620,1650,1647,1615,1601,1606,1634,1610,1630,1609,1633,1616,1636,1612,1603,1602,1639,1604,1625,1622,1619,1626,1608,1629,1638,1631,1640,1624,1645,1643,1637,1648,1621,1644,882,857,892,896,899,885,873,861,867,863,864,891,855,877,868,878,870,900,897,865,851,856,884,860,880,859,883,866,886,862,853,852,889,854,875,872,869,876,858,879,888,881,890,874,895,893,887,898,871,894,1182,1157,1192,1196,1199,1185,1173,1161,1167,1163,1164,1191,1155,1177,1168,1178,1170,1200,1197,1165,1151,1156,1184,1160,1180,1159,1183,1166,1186,1162,1153,1152,1189,1154,1175,1172,1169,1176,1158,1179,1188,1181,1190,1174,1195,1193,1187,1198,1171,1194,2182,2157,2192,2196,2199,2185,2173,2161,2167,2163,2164,2191,2155,2177,2168,2178,2170,2200,2197,2165,2151,2156,2184,2160,2180,2159,2183,2166,2186,2162,2153,2152,2189,2154,2175,2172,2169,2176,2158,2179,2188,2181,2190,2174,2195,2193,2187,2198,2171,2194,1882,1857,1892,1896,1899,1885,1873,1861,1867,1863,1864,1891,1855,1877,1868,1878,1870,1900,1897,1865,1851,1856,1884,1860,1880,1859,1883,1866,1886,1862,1853,1852,1889,1854,1875,1872,1869,1876,1858,1879,1888,1881,1890,1874,1895,1893,1887,1898,1871,1894,332,307,342,346,349,335,323,311,317,313,314,341,305,327,318,328,320,350,347,315,301,306,334,310,330,309,333,316,336,312,303,302,339,304,325,322,319,326,308,329,338,331,340,324,345,343,337,348,321,344}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

50

{2338,2335,2334,2302,2347,2325,2328,2350,2322,2301,2342,2317,2337,2308,2333,2331,2318,2324,2340,2341,2326,2330,2332,2304,2346,2339,2313,2327,2309,2323,2348,2344,2316,2312,2303,2349,2306,2329,2311,2336,2315,2305,2314,2307,2345,2319,2310,2343,2321,2320,388,385,384,352,397,375,378,400,372,351,392,367,387,358,383,381,368,374,390,391,376,380,382,354,396,389,363,377,359,373,398,394,366,362,353,399,356,379,361,386,365,355,364,357,395,369,360,393,371,370,988,985,984,952,997,975,978,1000,972,951,992,967,987,958,983,981,968,974,990,991,976,980,982,954,996,989,963,977,959,973,998,994,966,962,953,999,956,979,961,986,965,955,964,957,995,969,960,993,971,970,1488,1485,1484,1452,1497,1475,1478,1500,1472,1451,1492,1467,1487,1458,1483,1481,1468,1474,1490,1491,1476,1480,1482,1454,1496,1489,1463,1477,1459,1473,1498,1494,1466,1462,1453,1499,1456,1479,1461,1486,1465,1455,1464,1457,1495,1469,1460,1493,1471,1470,1738,1735,1734,1702,1747,1725,1728,1750,1722,1701,1742,1717,1737,1708,1733,1731,1718,1724,1740,1741,1726,1730,1732,1704,1746,1739,1713,1727,1709,1723,1748,1744,1716,1712,1703,1749,1706,1729,1711,1736,1715,1705,1714,1707,1745,1719,1710,1743,1721,1720,1438,1435,1434,1402,1447,1425,1428,1450,1422,1401,1442,1417,1437,1408,1433,1431,1418,1424,1440,1441,1426,1430,1432,1404,1446,1439,1413,1427,1409,1423,1448,1444,1416,1412,1403,1449,1406,1429,1411,1436,1415,1405,1414,1407,1445,1419,1410,1443,1421,1420,2488,2485,2484,2452,2497,2475,2478,2500,2472,2451,2492,2467,2487,2458,2483,2481,2468,2474,2490,2491,2476,2480,2482,2454,2496,2489,2463,2477,2459,2473,2498,2494,2466,2462,2453,2499,2456,2479,2461,2486,2465,2455,2464,2457,2495,2469,2460,2493,2471,2470,1338,1335,1334,1302,1347,1325,1328,1350,1322,1301,1342,1317,1337,1308,1333,1331,1318,1324,1340,1341,1326,1330,1332,1304,1346,1339,1313,1327,1309,1323,1348,1344,1316,1312,1303,1349,1306,1329,1311,1336,1315,1305,1314,1307,1345,1319,1310,1343,1321,1320,688,685,684,652,697,675,678,700,672,651,692,667,687,658,683,681,668,674,690,691,676,680,682,654,696,689,663,677,659,673,698,694,666,662,653,699,656,679,661,686,665,655,664,657,695,669,660,693,671,670,2038,2035,2034,2002,2047,2025,2028,2050,2022,2001,2042,2017,2037,2008,2033,2031,2018,2024,2040,2041,2026,2030,2032,2004,2046,2039,2013,2027,2009,2023,2048,2044,2016,2012,2003,2049,2006,2029,2011,2036,2015,2005,2014,2007,2045,2019,2010,2043,2021,2020,2438,2435,2434,2402,2447,2425,2428,2450,2422,2401,2442,2417,2437,2408,2433,2431,2418,2424,2440,2441,2426,2430,2432,2404,2446,2439,2413,2427,2409,2423,2448,2444,2416,2412,2403,2449,2406,2429,2411,2436,2415,2405,2414,2407,2445,2419,2410,2443,2421,2420,1088,1085,1084,1052,1097,1075,1078,1100,1072,1051,1092,1067,1087,1058,1083,1081,1068,1074,1090,1091,1076,1080,1082,1054,1096,1089,1063,1077,1059,1073,1098,1094,1066,1062,1053,1099,1056,1079,1061,1086,1065,1055,1064,1057,1095,1069,1060,1093,1071,1070,838,835,834,802,847,825,828,850,822,801,842,817,837,808,833,831,818,824,840,841,826,830,832,804,846,839,813,827,809,823,848,844,816,812,803,849,806,829,811,836,815,805,814,807,845,819,810,843,821,820,1988,1985,1984,1952,1997,1975,1978,2000,1972,1951,1992,1967,1987,1958,1983,1981,1968,1974,1990,1991,1976,1980,1982,1954,1996,1989,1963,1977,1959,1973,1998,1994,1966,1962,1953,1999,1956,1979,1961,1986,1965,1955,1964,1957,1995,1969,1960,1993,1971,1970,338,335,334,302,347,325,328,350,322,301,342,317,337,308,333,331,318,324,340,341,326,330,332,304,346,339,313,327,309,323,348,344,316,312,303,349,306,329,311,336,315,305,314,307,345,319,310,343,321,320,2288,2285,2284,2252,2297,2275,2278,2300,2272,2251,2292,2267,2287,2258,2283,2281,2268,2274,2290,2291,2276,2280,2282,2254,2296,2289,2263,2277,2259,2273,2298,2294,2266,2262,2253,2299,2256,2279,2261,2286,2265,2255,2264,2257,2295,2269,2260,2293,2271,2270,588,585,584,552,597,575,578,600,572,551,592,567,587,558,583,581,568,574,590,591,576,580,582,554,596,589,563,577,559,573,598,594,566,562,553,599,556,579,561,586,565,555,564,557,595,569,560,593,571,570,188,185,184,152,197,175,178,200,172,151,192,167,187,158,183,181,168,174,190,191,176,180,182,154,196,189,163,177,159,173,198,194,166,162,153,199,156,179,161,186,165,155,164,157,195,169,160,193,171,170,1238,1235,1234,1202,1247,1225,1228,1250,1222,1201,1242,1217,1237,1208,1233,1231,1218,1224,1240,1241,1226,1230,1232,1204,1246,1239,1213,1227,1209,1223,1248,1244,1216,1212,1203,1249,1206,1229,1211,1236,1215,1205,1214,1207,1245,1219,1210,1243,1221,1220,288,285,284,252,297,275,278,300,272,251,292,267,287,258,283,281,268,274,290,291,276,280,282,254,296,289,263,277,259,273,298,294,266,262,253,299,256,279,261,286,265,255,264,257,295,269,260,293,271,270,1688,1685,1684,1652,1697,1675,1678,1700,1672,1651,1692,1667,1687,1658,1683,1681,1668,1674,1690,1691,1676,1680,1682,1654,1696,1689,1663,1677,1659,1673,1698,1694,1666,1662,1653,1699,1656,1679,1661,1686,1665,1655,1664,1657,1695,1669,1660,1693,1671,1670,2238,2235,2234,2202,2247,2225,2228,2250,2222,2201,2242,2217,2237,2208,2233,2231,2218,2224,2240,2241,2226,2230,2232,2204,2246,2239,2213,2227,2209,2223,2248,2244,2216,2212,2203,2249,2206,2229,2211,2236,2215,2205,2214,2207,2245,2219,2210,2243,2221,2220,438,435,434,402,447,425,428,450,422,401,442,417,437,408,433,431,418,424,440,441,426,430,432,404,446,439,413,427,409,423,448,444,416,412,403,449,406,429,411,436,415,405,414,407,445,419,410,443,421,420,38,35,34,2,47,25,28,50,22,1,42,17,37,8,33,31,18,24,40,41,26,30,32,4,46,39,13,27,9,23,48,44,16,12,3,49,6,29,11,36,15,5,14,7,45,19,10,43,21,20,2088,2085,2084,2052,2097,2075,2078,2100,2072,2051,2092,2067,2087,2058,2083,2081,2068,2074,2090,2091,2076,2080,2082,2054,2096,2089,2063,2077,2059,2073,2098,2094,2066,2062,2053,2099,2056,2079,2061,2086,2065,2055,2064,2057,2095,2069,2060,2093,2071,2070,138,135,134,102,147,125,128,150,122,101,142,117,137,108,133,131,118,124,140,141,126,130,132,104,146,139,113,127,109,123,148,144,116,112,103,149,106,129,111,136,115,105,114,107,145,119,110,143,121,120,738,735,734,702,747,725,728,750,722,701,742,717,737,708,733,731,718,724,740,741,726,730,732,704,746,739,713,727,709,723,748,744,716,712,703,749,706,729,711,736,715,705,714,707,745,719,710,743,721,720,1188,1185,1184,1152,1197,1175,1178,1200,1172,1151,1192,1167,1187,1158,1183,1181,1168,1174,1190,1191,1176,1180,1182,1154,1196,1189,1163,1177,1159,1173,1198,1194,1166,1162,1153,1199,1156,1179,1161,1186,1165,1155,1164,1157,1195,1169,1160,1193,1171,1170,788,785,784,752,797,775,778,800,772,751,792,767,787,758,783,781,768,774,790,791,776,780,782,754,796,789,763,777,759,773,798,794,766,762,753,799,756,779,761,786,765,755,764,757,795,769,760,793,771,770,2138,2135,2134,2102,2147,2125,2128,2150,2122,2101,2142,2117,2137,2108,2133,2131,2118,2124,2140,2141,2126,2130,2132,2104,2146,2139,2113,2127,2109,2123,2148,2144,2116,2112,2103,2149,2106,2129,2111,2136,2115,2105,2114,2107,2145,2119,2110,2143,2121,2120,88,85,84,52,97,75,78,100,72,51,92,67,87,58,83,81,68,74,90,91,76,80,82,54,96,89,63,77,59,73,98,94,66,62,53,99,56,79,61,86,65,55,64,57,95,69,60,93,71,70,1388,1385,1384,1352,1397,1375,1378,1400,1372,1351,1392,1367,1387,1358,1383,1381,1368,1374,1390,1391,1376,1380,1382,1354,1396,1389,1363,1377,1359,1373,1398,1394,1366,1362,1353,1399,1356,1379,1361,1386,1365,1355,1364,1357,1395,1369,1360,1393,1371,1370,2388,2385,2384,2352,2397,2375,2378,2400,2372,2351,2392,2367,2387,2358,2383,2381,2368,2374,2390,2391,2376,2380,2382,2354,2396,2389,2363,2377,2359,2373,2398,2394,2366,2362,2353,2399,2356,2379,2361,2386,2365,2355,2364,2357,2395,2369,2360,2393,2371,2370,938,935,934,902,947,925,928,950,922,901,942,917,937,908,933,931,918,924,940,941,926,930,932,904,946,939,913,927,909,923,948,944,916,912,903,949,906,929,911,936,915,905,914,907,945,919,910,943,921,920,1038,1035,1034,1002,1047,1025,1028,1050,1022,1001,1042,1017,1037,1008,1033,1031,1018,1024,1040,1041,1026,1030,1032,1004,1046,1039,1013,1027,1009,1023,1048,1044,1016,1012,1003,1049,1006,1029,1011,1036,1015,1005,1014,1007,1045,1019,1010,1043,1021,1020,238,235,234,202,247,225,228,250,222,201,242,217,237,208,233,231,218,224,240,241,226,230,232,204,246,239,213,227,209,223,248,244,216,212,203,249,206,229,211,236,215,205,214,207,245,219,210,243,221,220,1788,1785,1784,1752,1797,1775,1778,1800,1772,1751,1792,1767,1787,1758,1783,1781,1768,1774,1790,1791,1776,1780,1782,1754,1796,1789,1763,1777,1759,1773,1798,1794,1766,1762,1753,1799,1756,1779,1761,1786,1765,1755,1764,1757,1795,1769,1760,1793,1771,1770,638,635,634,602,647,625,628,650,622,601,642,617,637,608,633,631,618,624,640,641,626,630,632,604,646,639,613,627,609,623,648,644,616,612,603,649,606,629,611,636,615,605,614,607,645,619,610,643,621,620,888,885,884,852,897,875,878,900,872,851,892,867,887,858,883,881,868,874,890,891,876,880,882,854,896,889,863,877,859,873,898,894,866,862,853,899,856,879,861,886,865,855,864,857,895,869,860,893,871,870,488,485,484,452,497,475,478,500,472,451,492,467,487,458,483,481,468,474,490,491,476,480,482,454,496,489,463,477,459,473,498,494,466,462,453,499,456,479,461,486,465,455,464,457,495,469,460,493,471,470,538,535,534,502,547,525,528,550,522,501,542,517,537,508,533,531,518,524,540,541,526,530,532,504,546,539,513,527,509,523,548,544,516,512,503,549,506,529,511,536,515,505,514,507,545,519,510,543,521,520,1288,1285,1284,1252,1297,1275,1278,1300,1272,1251,1292,1267,1287,1258,1283,1281,1268,1274,1290,1291,1276,1280,1282,1254,1296,1289,1263,1277,1259,1273,1298,1294,1266,1262,1253,1299,1256,1279,1261,1286,1265,1255,1264,1257,1295,1269,1260,1293,1271,1270,1138,1135,1134,1102,1147,1125,1128,1150,1122,1101,1142,1117,1137,1108,1133,1131,1118,1124,1140,1141,1126,1130,1132,1104,1146,1139,1113,1127,1109,1123,1148,1144,1116,1112,1103,1149,1106,1129,1111,1136,1115,1105,1114,1107,1145,1119,1110,1143,1121,1120,1838,1835,1834,1802,1847,1825,1828,1850,1822,1801,1842,1817,1837,1808,1833,1831,1818,1824,1840,1841,1826,1830,1832,1804,1846,1839,1813,1827,1809,1823,1848,1844,1816,1812,1803,1849,1806,1829,1811,1836,1815,1805,1814,1807,1845,1819,1810,1843,1821,1820,1538,1535,1534,1502,1547,1525,1528,1550,1522,1501,1542,1517,1537,1508,1533,1531,1518,1524,1540,1541,1526,1530,1532,1504,1546,1539,1513,1527,1509,1523,1548,1544,1516,1512,1503,1549,1506,1529,1511,1536,1515,1505,1514,1507,1545,1519,1510,1543,1521,1520,1638,1635,1634,1602,1647,1625,1628,1650,1622,1601,1642,1617,1637,1608,1633,1631,1618,1624,1640,1641,1626,1630,1632,1604,1646,1639,1613,1627,1609,1623,1648,1644,1616,1612,1603,1649,1606,1629,1611,1636,1615,1605,1614,1607,1645,1619,1610,1643,1621,1620,1588,1585,1584,1552,1597,1575,1578,1600,1572,1551,1592,1567,1587,1558,1583,1581,1568,1574,1590,1591,1576,1580,1582,1554,1596,1589,1563,1577,1559,1573,1598,1594,1566,1562,1553,1599,1556,1579,1561,1586,1565,1555,1564,1557,1595,1569,1560,1593,1571,1570,1888,1885,1884,1852,1897,1875,1878,1900,1872,1851,1892,1867,1887,1858,1883,1881,1868,1874,1890,1891,1876,1880,1882,1854,1896,1889,1863,1877,1859,1873,1898,1894,1866,1862,1853,1899,1856,1879,1861,1886,1865,1855,1864,1857,1895,1869,1860,1893,1871,1870,1938,1935,1934,1902,1947,1925,1928,1950,1922,1901,1942,1917,1937,1908,1933,1931,1918,1924,1940,1941,1926,1930,1932,1904,1946,1939,1913,1927,1909,1923,1948,1944,1916,1912,1903,1949,1906,1929,1911,1936,1915,1905,1914,1907,1945,1919,1910,1943,1921,1920,2188,2185,2184,2152,2197,2175,2178,2200,2172,2151,2192,2167,2187,2158,2183,2181,2168,2174,2190,2191,2176,2180,2182,2154,2196,2189,2163,2177,2159,2173,2198,2194,2166,2162,2153,2199,2156,2179,2161,2186,2165,2155,2164,2157,2195,2169,2160,2193,2171,2170}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
50

50

{779,753,766,759,792,758,799,762,770,755,789,776,757,798,800,783,761,765,764,793,786,782,752,769,775,754,773,784,774,756,771,778,768,791,785,781,794,790,797,795,767,760,796,788,751,772,777,763,780,787,1379,1353,1366,1359,1392,1358,1399,1362,1370,1355,1389,1376,1357,1398,1400,1383,1361,1365,1364,1393,1386,1382,1352,1369,1375,1354,1373,1384,1374,1356,1371,1378,1368,1391,1385,1381,1394,1390,1397,1395,1367,1360,1396,1388,1351,1372,1377,1363,1380,1387,229,203,216,209,242,208,249,212,220,205,239,226,207,248,250,233,211,215,214,243,236,232,202,219,225,204,223,234,224,206,221,228,218,241,235,231,244,240,247,245,217,210,246,238,201,222,227,213,230,237,2179,2153,2166,2159,2192,2158,2199,2162,2170,2155,2189,2176,2157,2198,2200,2183,2161,2165,2164,2193,2186,2182,2152,2169,2175,2154,2173,2184,2174,2156,2171,2178,2168,2191,2185,2181,2194,2190,2197,2195,2167,2160,2196,2188,2151,2172,2177,2163,2180,2187,2329,2303,2316,2309,2342,2308,2349,2312,2320,2305,2339,2326,2307,2348,2350,2333,2311,2315,2314,2343,2336,2332,2302,2319,2325,2304,2323,2334,2324,2306,2321,2328,2318,2341,2335,2331,2344,2340,2347,2345,2317,2310,2346,2338,2301,2322,2327,2313,2330,2337,2379,2353,2366,2359,2392,2358,2399,2362,2370,2355,2389,2376,2357,2398,2400,2383,2361,2365,2364,2393,2386,2382,2352,2369,2375,2354,2373,2384,2374,2356,2371,2378,2368,2391,2385,2381,2394,2390,2397,2395,2367,2360,2396,2388,2351,2372,2377,2363,2380,2387,829,803,816,809,842,808,849,812,820,805,839,826,807,848,850,833,811,815,814,843,836,832,802,819,825,804,823,834,824,806,821,828,818,841,835,831,844,840,847,845,817,810,846,838,801,822,827,813,830,837,1179,1153,1166,1159,1192,1158,1199,1162,1170,1155,1189,1176,1157,1198,1200,1183,1161,1165,1164,1193,1186,1182,1152,1169,1175,1154,1173,1184,1174,1156,1171,1178,1168,1191,1185,1181,1194,1190,1197,1195,1167,1160,1196,1188,1151,1172,1177,1163,1180,1187,1729,1703,1716,1709,1742,1708,1749,1712,1720,1705,1739,1726,1707,1748,1750,1733,1711,1715,1714,1743,1736,1732,1702,1719,1725,1704,1723,1734,1724,1706,1721,1728,1718,1741,1735,1731,1744,1740,1747,1745,1717,1710,1746,1738,1701,1722,1727,1713,1730,1737,879,853,866,859,892,858,899,862,870,855,889,876,857,898,900,883,861,865,864,893,886,882,852,869,875,854,873,884,874,856,871,878,868,891,885,881,894,890,897,895,867,860,896,888,851,872,877,863,880,887,2229,2203,2216,2209,2242,2208,2249,2212,2220,2205,2239,2226,2207,2248,2250,2233,2211,2215,2214,2243,2236,2232,2202,2219,2225,2204,2223,2234,2224,2206,2221,2228,2218,2241,2235,2231,2244,2240,2247,2245,2217,2210,2246,2238,2201,2222,2227,2213,2230,2237,129,103,116,109,142,108,149,112,120,105,139,126,107,148,150,133,111,115,114,143,136,132,102,119,125,104,123,134,124,106,121,128,118,141,135,131,144,140,147,145,117,110,146,138,101,122,127,113,130,137,1279,1253,1266,1259,1292,1258,1299,1262,1270,1255,1289,1276,1257,1298,1300,1283,1261,1265,1264,1293,1286,1282,1252,1269,1275,1254,1273,1284,1274,1256,1271,1278,1268,1291,1285,1281,1294,1290,1297,1295,1267,1260,1296,1288,1251,1272,1277,1263,1280,1287,429,403,416,409,442,408,449,412,420,405,439,426,407,448,450,433,411,415,414,443,436,432,402,419,425,404,423,434,424,406,421,428,418,441,435,431,444,440,447,445,417,410,446,438,401,422,427,413,430,437,1529,1503,1516,1509,1542,1508,1549,1512,1520,1505,1539,1526,1507,1548,1550,1533,1511,1515,1514,1543,1536,1532,1502,1519,1525,1504,1523,1534,1524,1506,1521,1528,1518,1541,1535,1531,1544,1540,1547,1545,1517,1510,1546,1538,1501,1522,1527,1513,1530,1537,929,903,916,909,942,908,949,912,920,905,939,926,907,948,950,933,911,915,914,943,936,932,902,919,925,904,923,934,924,906,921,928,918,941,935,931,944,940,947,945,917,910,946,938,901,922,927,913,930,937,1079,1053,1066,1059,1092,1058,1099,1062,1070,1055,1089,1076,1057,1098,1100,1083,1061,1065,1064,1093,1086,1082,1052,1069,1075,1054,1073,1084,1074,1056,1071,1078,1068,1091,1085,1081,1094,1090,1097,1095,1067,1060,1096,1088,1051,1072,1077,1063,1080,1087,979,953,966,959,992,958,999,962,970,955,989,976,957,998,1000,983,961,965,964,993,986,982,952,969,975,954,973,984,974,956,971,978,968,991,985,981,994,990,997,995,967,960,996,988,951,972,977,963,980,987,379,353,366,359,392,358,399,362,370,355,389,376,357,398,400,383,361,365,364,393,386,382,352,369,375,354,373,384,374,356,371,378,368,391,385,381,394,390,397,395,367,360,396,388,351,372,377,363,380,387,1679,1653,1666,1659,1692,1658,1699,1662,1670,1655,1689,1676,1657,1698,1700,1683,1661,1665,1664,1693,1686,1682,1652,1669,1675,1654,1673,1684,1674,1656,1671,1678,1668,1691,1685,1681,1694,1690,1697,1695,1667,1660,1696,1688,1651,1672,1677,1663,1680,1687,1579,1553,1566,1559,1592,1558,1599,1562,1570,1555,1589,1576,1557,1598,1600,1583,1561,1565,1564,1593,1586,1582,1552,1569,1575,1554,1573,1584,1574,1556,1571,1578,1568,1591,1585,1581,1594,1590,1597,1595,1567,1560,1596,1588,1551,1572,1577,1563,1580,1587,1779,1753,1766,1759,1792,1758,1799,1762,1770,1755,1789,1776,1757,1798,1800,1783,1761,1765,1764,1793,1786,1782,1752,1769,1775,1754,1773,1784,1774,1756,1771,1778,1768,1791,1785,1781,1794,1790,1797,1795,1767,1760,1796,1788,1751,1772,1777,1763,1780,1787,1129,1103,1116,1109,1142,1108,1149,1112,1120,1105,1139,1126,1107,1148,1150,1133,1111,1115,1114,1143,1136,1132,1102,1119,1125,1104,1123,1134,1124,1106,1121,1128,1118,1141,1135,1131,1144,1140,1147,1145,1117,1110,1146,1138,1101,1122,1127,1113,1130,1137,1629,1603,1616,1609,1642,1608,1649,1612,1620,1605,1639,1626,1607,1648,1650,1633,1611,1615,1614,1643,1636,1632,1602,1619,1625,1604,1623,1634,1624,1606,1621,1628,1618,1641,1635,1631,1644,1640,1647,1645,1617,1610,1646,1638,1601,1622,1627,1613,1630,1637,279,253,266,259,292,258,299,262,270,255,289,276,257,298,300,283,261,265,264,293,286,282,252,269,275,254,273,284,274,256,271,278,268,291,285,281,294,290,297,295,267,260,296,288,251,272,277,263,280,287,179,153,166,159,192,158,199,162,170,155,189,176,157,198,200,183,161,165,164,193,186,182,152,169,175,154,173,184,174,156,171,178,168,191,185,181,194,190,197,195,167,160,196,188,151,172,177,163,180,187,479,453,466,459,492,458,499,462,470,455,489,476,457,498,500,483,461,465,464,493,486,482,452,469,475,454,473,484,474,456,471,478,468,491,485,481,494,490,497,495,467,460,496,488,451,472,477,463,480,487,729,703,716,709,742,708,749,712,720,705,739,726,707,748,750,733,711,715,714,743,736,732,702,719,725,704,723,734,724,706,721,728,718,741,735,731,744,740,747,745,717,710,746,738,701,722,727,713,730,737,1029,1003,1016,1009,1042,1008,1049,1012,1020,1005,1039,1026,1007,1048,1050,1033,1011,1015,1014,1043,1036,1032,1002,1019,1025,1004,1023,1034,1024,1006,1021,1028,1018,1041,1035,1031,1044,1040,1047,1045,1017,1010,1046,1038,1001,1022,1027,1013,1030,1037,1929,1903,1916,1909,1942,1908,1949,1912,1920,1905,1939,1926,1907,1948,1950,1933,1911,1915,1914,1943,1936,1932,1902,1919,1925,1904,1923,1934,1924,1906,1921,1928,1918,1941,1935,1931,1944,1940,1947,1945,1917,1910,1946,1938,1901,1922,1927,1913,1930,1937,2129,2103,2116,2109,2142,2108,2149,2112,2120,2105,2139,2126,2107,2148,2150,2133,2111,2115,2114,2143,2136,2132,2102,2119,2125,2104,2123,2134,2124,2106,2121,2128,2118,2141,2135,2131,2144,2140,2147,2145,2117,2110,2146,2138,2101,2122,2127,2113,2130,2137,1429,1403,1416,1409,1442,1408,1449,1412,1420,1405,1439,1426,1407,1448,1450,1433,1411,1415,1414,1443,1436,1432,1402,1419,1425,1404,1423,1434,1424,1406,1421,1428,1418,1441,1435,1431,1444,1440,1447,1445,1417,1410,1446,1438,1401,1422,1427,1413,1430,1437,329,303,316,309,342,308,349,312,320,305,339,326,307,348,350,333,311,315,314,343,336,332,302,319,325,304,323,334,324,306,321,328,318,341,335,331,344,340,347,345,317,310,346,338,301,322,327,313,330,337,1979,1953,1966,1959,1992,1958,1999,1962,1970,1955,1989,1976,1957,1998,2000,1983,1961,1965,1964,1993,1986,1982,1952,1969,1975,1954,1973,1984,1974,1956,1971,1978,1968,1991,1985,1981,1994,1990,1997,1995,1967,1960,1996,1988,1951,1972,1977,1963,1980,1987,2029,2003,2016,2009,2042,2008,2049,2012,2020,2005,2039,2026,2007,2048,2050,2033,2011,2015,2014,2043,2036,2032,2002,2019,2025,2004,2023,2034,2024,2006,2021,2028,2018,2041,2035,2031,2044,2040,2047,2045,2017,2010,2046,2038,2001,2022,2027,2013,2030,2037,2429,2403,2416,2409,2442,2408,2449,2412,2420,2405,2439,2426,2407,2448,2450,2433,2411,2415,2414,2443,2436,2432,2402,2419,2425,2404,2423,2434,2424,2406,2421,2428,2418,2441,2435,2431,2444,2440,2447,2445,2417,2410,2446,2438,2401,2422,2427,2413,2430,2437,2479,2453,2466,2459,2492,2458,2499,2462,2470,2455,2489,2476,2457,2498,2500,2483,2461,2465,2464,2493,2486,2482,2452,2469,2475,2454,2473,2484,2474,2456,2471,2478,2468,2491,2485,2481,2494,2490,2497,2495,2467,2460,2496,2488,2451,2472,2477,2463,2480,2487,2079,2053,2066,2059,2092,2058,2099,2062,2070,2055,2089,2076,2057,2098,2100,2083,2061,2065,2064,2093,2086,2082,2052,2069,2075,2054,2073,2084,2074,2056,2071,2078,2068,2091,2085,2081,2094,2090,2097,2095,2067,2060,2096,2088,2051,2072,2077,2063,2080,2087,1879,1853,1866,1859,1892,1858,1899,1862,1870,1855,1889,1876,1857,1898,1900,1883,1861,1865,1864,1893,1886,1882,1852,1869,1875,1854,1873,1884,1874,1856,1871,1878,1868,1891,1885,1881,1894,1890,1897,1895,1867,1860,1896,1888,1851,1872,1877,1863,1880,1887,1329,1303,1316,1309,1342,1308,1349,1312,1320,1305,1339,1326,1307,1348,1350,1333,1311,1315,1314,1343,1336,1332,1302,1319,1325,1304,1323,1334,1324,1306,1321,1328,1318,1341,1335,1331,1344,1340,1347,1345,1317,1310,1346,1338,1301,1322,1327,1313,1330,1337,79,53,66,59,92,58,99,62,70,55,89,76,57,98,100,83,61,65,64,93,86,82,52,69,75,54,73,84,74,56,71,78,68,91,85,81,94,90,97,95,67,60,96,88,51,72,77,63,80,87,529,503,516,509,542,508,549,512,520,505,539,526,507,548,550,533,511,515,514,543,536,532,502,519,525,504,523,534,524,506,521,528,518,541,535,531,544,540,547,545,517,510,546,538,501,522,527,513,530,537,2279,2253,2266,2259,2292,2258,2299,2262,2270,2255,2289,2276,2257,2298,2300,2283,2261,2265,2264,2293,2286,2282,2252,2269,2275,2254,2273,2284,2274,2256,2271,2278,2268,2291,2285,2281,2294,2290,2297,2295,2267,2260,2296,2288,2251,2272,2277,2263,2280,2287,629,603,616,609,642,608,649,612,620,605,639,626,607,648,650,633,611,615,614,643,636,632,602,619,625,604,623,634,624,606,621,628,618,641,635,631,644,640,647,645,617,610,646,638,601,622,627,613,630,637,29,3,16,9,42,8,49,12,20,5,39,26,7,48,50,33,11,15,14,43,36,32,2,19,25,4,23,34,24,6,21,28,18,41,35,31,44,40,47,45,17,10,46,38,1,22,27,13,30,37,1829,1803,1816,1809,1842,1808,1849,1812,1820,1805,1839,1826,1807,1848,1850,1833,1811,1815,1814,1843,1836,1832,1802,1819,1825,1804,1823,1834,1824,1806,1821,1828,1818,1841,1835,1831,1844,1840,1847,1845,1817,1810,1846,1838,1801,1822,1827,1813,1830,1837,579,553,566,559,592,558,599,562,570,555,589,576,557,598,600,583,561,565,564,593,586,582,552,569,575,554,573,584,574,556,571,578,568,591,585,581,594,590,597,595,567,560,596,588,551,572,577,563,580,587,1229,1203,1216,1209,1242,1208,1249,1212,1220,1205,1239,1226,1207,1248,1250,1233,1211,1215,1214,1243,1236,1232,1202,1219,1225,1204,1223,1234,1224,1206,1221,1228,1218,1241,1235,1231,1244,1240,1247,1245,1217,1210,1246,1238,1201,1222,1227,1213,1230,1237,1479,1453,1466,1459,1492,1458,1499,1462,1470,1455,1489,1476,1457,1498,1500,1483,1461,1465,1464,1493,1486,1482,1452,1469,1475,1454,1473,1484,1474,1456,1471,1478,1468,1491,1485,1481,1494,1490,1497,1495,1467,1460,1496,1488,1451,1472,1477,1463,1480,1487,679,653,666,659,692,658,699,662,670,655,689,676,657,698,700,683,661,665,664,693,686,682,652,669,675,654,673,684,674,656,671,678,668,691,685,681,694,690,697,695,667,660,696,688,651,672,677,663,680,687}

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
28

39

{151,424,1030,125,143,344,584,449,704,133,1037,505,183,670,284,874,730,366,882,541,93,654,918,530,287,767,919,645,558,741,774,757,299,146,532,603,457,885,236,455,450,570,793,63,576,396,647,170,769,668,512,908,203,588,294,710,809,280,338,339,471,479,119,533,208,273,147,128,722,109,497,85,481,634,386,1089,289,836,653,572,840,522,827,817,360,614,212,1014,592,1080,139,540,515,927,911,832,181,56,182,132,728,140,637,590,742,640,1024,1091,844,78,596,413,705,335,894,693,446,123,187,622,142,594,1002,706,912,90,70,64,568,148,847,1007,11,501,884,916,974,662,79,546,1092,957,57,433,907,510,262,157,630,47,38,429,679,73,795,764,9,115,690,1073,283,425,74,431,956,931,553,523,525,751,1068,897,812,920,650,593,40,604,794,651,707,856,316,239,1044,189,661,116,547,826,963,319,1077,1009,104,733,766,333,787,482,476,1066,258,624,671,1049,626,521,1051,698,264,18,778,118,84,615,657,914,761,542,905,211,629,543,1038,410,721,808,552,415,951,571,748,843,164,550,300,448,67,52,502,407,674,575,293,439,946,610,917,759,580,317,382,849,536,162,857,219,762,503,292,401,323,708,218,962,240,443,1079,814,782,855,254,114,375,58,46,903,559,228,508,312,539,391,249,138,215,160,606,466,846,687,272,887,129,178,990,514,122,1,966,862,1026,1070,791,896,179,137,1040,1028,842,737,1058,1019,500,398,327,537,910,395,824,320,356,412,1067,768,387,605,1052,291,815,71,1053,1062,527,209,96,700,49,490,1004,960,871,1085,735,853,562,167,921,578,952,531,665,381,107,876,385,676,397,695,117,731,98,313,437,91,134,938,423,904,656,738,583,633,718,930,989,1071,929,83,612,434,260,613,644,937,788,717,349,591,709,968,428,517,20,631,711,1023,1008,1059,406,850,625,574,1055,577,806,177,1018,263,33,747,752,987,207,6,953,854,1043,199,43,36,92,161,906,89,659,245,825,608,370,348,944,414,838,483,544,426,785,681,242,442,145,802,256,489,103,295,80,579,901,330,1003,241,796,964,585,44,50,322,380,922,60,811,807,499,169,308,1039,454,102,696,567,463,549,734,712,770,141,296,399,1027,993,607,1013,1063,620,563,997,27,890,518,841,76,149,371,797,304,611,863,469,678,724,1072,667,474,498,526,954,352,822,257,830,105,569,66,404,174,191,1048,880,803,460,627,858,7,127,1020,686,374,383,513,229,979,188,39,936,10,628,246,601,786,639,999,220,940,108,804,682,551,893,61,261,210,1022,62,110,763,716,486,494,35,652,441,942,1064,282,1000,950,361,834,784,411,649,746,462,286,29,528,1033,507,100,432,222,51,675,636,1054,1087,534,848,477,545,186,131,926,285,877,878,417,872,23,1035,453,213,673,347,749,756,12,511,694,1029,833,54,998,331,389,336,646,225,359,253,935,666,529,234,982,418,852,364,582,101,45,238,586,845,1042,744,555,34,152,819,701,464,281,1032,1056,1088,243,355,889,419,1010,669,723,232,977,351,859,1083,870,883,201,818,135,112,377,470,409,1005,865,740,221,384,353,24,972,156,648,1082,864,969,277,176,1045,981,943,609,689,200,205,868,573,288,172,405,8,984,341,924,302,772,595,354,909,1012,31,251,421,504,216,368,1057,886,290,416,995,198,988,1081,163,493,985,621,899,685,275,3,976,589,1015,379,408,487,703,1011,195,642,227,719,97,975,799,314,672,168,632,798,677,602,55,422,643,773,697,301,598,973,506,269,488,235,120,1050,745,37,1041,77,217,248,440,959,837,41,365,332,223,342,48,816,1034,714,268,1047,581,684,680,325,113,159,447,736,599,184,270,860,623,554,783,891,980,496,345,465,660,14,150,403,438,970,126,340,15,303,192,492,472,69,538,237,831,373,307,144,59,561,750,451,519,801,1076,655,68,683,875,495,72,204,452,158,564,829,597,765,250,1075,900,230,121,369,996,226,265,913,520,775,898,805,754,357,467,279,939,346,955,306,392,516,702,635,165,436,726,958,22,480,337,821,329,153,535,202,777,343,790,185,298,965,991,941,869,297,266,166,362,196,732,111,779,986,967,255,664,473,136,358,557,32,197,867,485,835,278,873,81,928,828,173,879,378,792,866,729,271,1060,206,600,1069,1006,274,13,720,1084,16,566,713,445,324,617,739,813,1001,194,458,881,839,560,42,2,456,94,861,231,556,820,895,800,1021,363,1074,699,727,326,641,25,350,587,244,400,459,758,171,851,233,435,427,923,21,771,4,743,394,461,28,315,334,190,933,328,994,760,780,75,130,224,619,753,978,484,725,715,947,259,82,311,1065,214,87,475,781,971,5,88,934,491,1016,509,19,154,949,810,888,618,1031,247,983,992,478,372,961,318,388,193,789,65,658,1090,692,691,1078,1036,755,430,925,99,1025,53,252,663,393,948,180,106,468,688,1046,823,1086,444,1061,548,175,95,367,390,376,565,945,86,267,638,309,902,1017,305,915,124,402,26,420,524,17,776,932,276,892,30,310,616,321,155}

Returns: "100000000000000000000000000000000000000010000001000000100000000000000000000010001000000000000000000000000000001000000000100000000000000000000001000000000000000001010000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000100000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000010000000000000000000000010000000000000000000001000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000100000000000000000010000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000"
47

45

{388,1957,727,1201,1392,1150,1595,1129,2058,1069,1397,183,61,1010,1364,729,484,1830,949,624,1125,1165,2015,1551,304,70,577,560,1548,997,105,1623,1444,1874,1575,1947,223,1915,46,887,523,535,2115,116,801,1918,1963,136,279,1872,640,1471,874,554,1833,839,1155,2068,1631,398,525,432,122,455,7,1817,2051,1987,891,983,519,1933,730,425,1849,49,848,583,1149,751,109,1242,457,1587,267,799,2111,1679,591,2052,1299,895,733,53,1905,797,762,1859,1451,984,1412,1999,325,68,58,1628,2100,1739,773,555,163,386,2034,1838,1949,1992,1760,1143,807,1355,1607,1163,725,1127,1998,1192,2096,1256,1580,396,1745,2012,1503,85,371,1805,571,230,158,1882,1519,1787,1274,1340,843,1877,667,357,296,1965,1272,2001,103,1028,1331,1632,865,743,2101,1889,1541,2079,1588,204,2085,1984,1086,322,505,340,1369,2042,551,653,628,1674,1132,1495,1574,1384,1560,1532,2033,1088,485,654,946,1773,1402,1579,862,126,1020,1151,1954,346,1609,354,1370,1255,2036,755,367,1186,1368,1502,1898,1324,1244,1539,1577,2040,775,1782,1156,1194,1183,352,351,914,712,908,1111,1499,582,663,249,1106,1266,133,1677,1797,1474,251,1657,1472,430,491,1166,271,1427,760,1909,152,1158,1950,1325,987,1917,977,951,917,1845,872,933,305,1613,306,2006,1390,1912,449,256,383,1336,835,956,1755,746,1614,1387,1052,1349,665,1353,702,688,1826,1051,1290,882,1173,411,1315,459,1715,969,1932,21,416,1159,932,1851,1867,1231,1681,1611,1249,1477,1423,979,1692,615,303,847,2109,1750,1046,1993,776,1206,1630,1493,144,1252,974,637,489,55,409,40,2060,1282,1233,1261,82,1558,1322,1523,1117,1454,1212,1382,1904,742,1110,1232,1806,1981,507,1858,1552,1629,1172,59,245,1675,1011,1171,379,142,286,952,1071,238,1060,2077,1652,407,1821,813,1084,495,620,1177,1893,77,333,299,48,1265,33,1813,283,446,269,335,1373,1190,1650,106,897,1007,1040,1667,1167,1405,781,1283,1641,604,1130,666,3,476,1956,1783,321,1321,1479,437,1590,1727,1616,482,607,934,623,395,1776,1734,2081,911,1566,1811,1175,680,390,970,1341,200,2093,1338,1237,137,1492,102,2067,453,232,1943,38,1068,964,1310,1286,1969,1460,572,1085,516,316,1223,1205,589,1403,288,293,493,1988,1154,1964,993,935,1090,469,1268,86,1367,113,1991,1091,678,1713,1761,1968,1267,1644,1062,2037,1198,564,1108,1115,878,597,1363,1030,968,1891,1501,1356,1975,1235,208,1545,233,73,318,953,1926,1026,1705,1908,1112,2025,1334,30,101,1759,1467,1277,276,334,72,1800,1034,314,2013,992,1942,1951,905,622,448,2049,1970,90,1448,1972,2035,1421,2107,1758,930,1825,556,1709,1743,1658,37,641,1906,1504,1058,578,1270,250,215,1973,1693,1107,2054,1102,1921,881,1925,177,982,1619,837,1114,1549,1246,1038,827,1294,1665,927,1095,925,940,1491,1211,1714,190,1162,904,92,182,2073,1236,403,706,1762,860,692,443,1262,463,1379,1153,945,1720,768,1142,1604,1488,693,1100,921,880,1656,1241,1044,310,1807,1636,714,1952,1428,633,31,2069,1378,421,1357,257,1832,1856,750,1870,107,1140,1061,674,549,471,907,273,748,2026,841,426,923,662,458,859,1635,629,1442,1457,1447,753,842,508,883,636,345,621,1840,285,1420,247,1919,996,1599,259,1516,392,331,1967,1875,537,1005,1686,898,1732,967,1979,1896,1940,539,777,594,1037,527,561,1263,603,1116,1189,602,240,757,1398,262,1374,950,202,1627,2071,154,1634,104,1843,1440,1430,111,1960,1200,99,2063,20,1637,23,613,1930,2088,1222,989,836,1039,391,816,1025,1555,253,414,385,2018,162,767,1123,444,1784,825,35,1139,1615,1814,434,1019,1381,1213,1032,552,25,1075,1585,1103,761,1737,298,915,574,2070,1465,1406,281,1583,616,1326,1000,1775,2062,1517,910,236,394,573,2099,1319,187,1350,289,1543,720,1785,2086,789,160,642,871,731,1823,475,1606,153,1469,1621,221,1018,424,2110,2017,1938,178,57,420,1855,141,1886,1983,779,1533,962,1391,1462,671,679,337,1789,2027,452,1795,199,258,360,708,811,1706,1796,1064,332,1437,1164,125,435,2010,800,966,1799,1568,626,511,1596,1880,1301,875,128,2075,1757,541,2038,1756,2053,1063,1961,1361,282,290,1377,682,64,465,1563,631,1182,764,63,1557,243,630,1725,228,605,1033,2112,445,1876,1809,786,563,2106,93,1617,1573,1570,828,112,80,1120,1934,355,1446,1753,366,1053,1113,1592,2108,1690,1002,818,472,942,717,832,1864,1304,1774,696,695,798,1055,937,1393,1453,1399,415,1494,75,1280,771,69,1145,1892,431,17,487,1911,1883,320,24,1582,566,1269,297,300,1409,1839,1804,1306,924,770,1913,473,1815,900,1722,336,2104,648,846,365,845,406,1497,56,1622,131,1481,513,1411,274,540,1234,686,198,850,1645,1820,1834,224,1342,42,384,531,157,1221,1977,650,1779,646,1146,180,1257,324,378,412,110,1920,963,600,685,2091,1432,2105,1096,1576,1500,675,268,214,691,1178,506,117,1318,1224,1647,1687,1485,1251,4,1345,1285,955,660,173,1683,867,43,735,1780,307,1528,1478,218,159,672,1229,1765,422,1695,52,778,244,2078,1305,710,1351,543,466,28,1138,1512,1012,1001,442,785,1483,1258,1668,2103,697,849,1953,2016,237,1598,1702,119,1704,1170,1264,291,1327,1094,234,1330,1515,1738,2047,1962,1895,1407,1056,1897,1659,96,1648,1927,515,1417,376,1074,176,568,2055,1376,84,1395,926,1438,1296,1202,1620,1343,599,1696,413,2050,1021,1666,1865,10,1482,1731,851,464,2011,1916,1735,596,447,418,217,559,280,1959,5,1014,486,1569,270,1691,576,490,1863,1419,1049,861,1729,705,1946,323,1161,2022,1077,1559,938,1328,1180,401,1591,1844,1971,361,758,1426,1279,205,248,1459,147,1643,673,792,975,1083,1057,1660,580,135,272,2084,854,1098,598,1678,2009,317,657,1245,1416,736,1852,1976,1671,1008,528,188,888,960,661,368,1389,1518,50,374,1881,514,44,36,1435,929,26,724,387,655,1230,1461,838,893,266,2023,15,2028,1346,664,54,1530,1487,1323,1716,652,171,547,1131,364,468,612,994,1320,1597,1922,985,461,1359,2083,1931,148,462,1335,1176,124,1978,338,1712,532,195,1490,225,1210,375,1333,1618,2089,1418,585,1879,939,823,1203,88,1885,1253,1746,1793,529,1767,754,2,203,990,121,47,1082,1276,1023,961,1624,518,1422,759,488,1464,1802,973,794,936,728,252,382,118,2064,1608,1024,1828,1455,1742,494,381,1121,590,1329,1148,1719,1506,1347,609,1366,1542,294,1831,16,277,1362,732,1059,1546,156,826,1853,1404,1914,477,745,1754,1982,649,500,13,784,1476,1133,553,1066,1386,1036,1707,1748,193,1089,1718,1682,1836,1791,1736,239,718,2041,1099,647,707,229,1603,1944,1871,892,175,1873,1466,1536,870,601,986,1902,1473,1097,419,1300,1646,27,329,212,1372,166,275,1352,756,791,12,815,380,903,1553,2003,330,723,669,1344,1869,397,138,1581,2057,530,1848,738,1798,1535,1433,1134,1723,1104,1794,587,586,2072,918,906,1092,1496,639,627,1664,1700,509,510,1358,292,1556,1600,130,263,1,1562,2046,1424,830,423,1857,814,339,2048,1214,965,1187,1126,901,353,855,2044,497,370,1812,1302,1638,1996,536,149,546,114,362,1744,1526,1985,2030,2043,1602,45,1578,328,1966,1238,1764,1047,1672,1649,780,1510,517,2005,2061,694,211,278,1571,32,150,1295,1434,741,1860,29,1884,978,1846,410,853,593,1663,79,1801,701,1721,1208,2092,1193,1215,1790,2031,1297,1081,1317,1841,478,1308,2080,1670,399,806,1396,2021,1728,1505,1936,634,1901,651,433,1803,1475,716,739,1749,944,436,502,196,311,1065,1531,1144,533,856,896,359,749,2097,1626,1527,1699,1740,606,971,1226,326,810,1513,840,1168,1781,1348,206,765,216,618,2014,709,134,988,1537,301,1449,959,2032,295,226,1271,834,681,100,1711,1850,481,1847,817,866,824,1698,1031,852,184,899,644,522,1243,1689,1822,254,991,822,1015,1601,1639,858,139,1726,687,2004,87,829,512,470,1589,922,783,1128,1534,1248,179,1708,181,1152,1470,242,1332,1694,1529,740,427,499,1400,1928,902,145,1521,1697,1929,668,575,1994,565,584,209,1498,227,947,1862,772,769,844,81,1997,312,1819,347,557,1508,2000,1218,980,1207,1312,976,393,241,213,1209,1684,8,1316,98,833,1653,1309,1861,480,2020,1605,95,94,1006,1383,1792,319,1835,931,1365,1045,1220,2039,1314,1147,1866,2098,1955,1013,894,941,1786,1445,6,1887,954,981,140,625,83,467,1337,608,526,703,503,189,1717,1544,1842,820,1119,342,1003,619,570,1298,774,439,264,638,812,793,1254,744,1029,1642,132,19,1685,222,1594,763,504,1017,998,1174,1899,1278,544,1900,1250,1633,1070,1122,1489,617,550,129,721,438,790,722,350,1724,1293,1733,808,676,1199,1124,194,1468,1087,51,1354,726,67,1676,451,1990,1287,186,1572,1810,1228,2087,1436,1109,2029,309,1225,1710,1778,1524,302,1080,1777,885,456,454,9,1313,1443,788,689,172,161,1079,22,1385,34,1509,1564,795,1547,1136,369,821,1586,614,1480,545,2007,659,595,864,210,1101,1827,1989,796,1768,1394,1651,868,943,2113,1281,831,1429,890,1995,191,1078,1772,377,1890,677,876,1986,1741,1048,1661,2095,1565,534,567,474,344,1771,2094,2045,1680,1184,1463,1730,1227,1540,802,1035,1894,1584,192,886,1522,1948,909,1567,76,1289,441,356,1073,1179,1137,916,2076,400,235,1260,501,995,1974,71,1625,809,65,889,1612,521,151,429,91,1456,2065,66,2102,1554,167,255,1191,1247,913,1816,948,1939,372,78,1701,1076,877,643,349,1219,873,912,1216,1284,972,1703,1878,2090,1484,635,496,1185,2059,656,1525,690,1673,1273,1043,1655,1747,492,1751,704,1311,220,343,1669,89,341,1550,1958,1360,1808,1837,2056,498,1275,1259,405,1303,1196,287,782,569,524,711,719,428,1291,1380,1371,1388,699,700,74,358,315,39,1945,1452,1507,18,1520,174,1662,1654,1307,1410,1401,1004,1788,313,538,165,803,1240,1188,857,1197,1195,999,1118,60,1157,611,1907,108,185,747,1009,1937,1415,450,11,2082,2019,2002,805,658,928,389,957,1105,1924,1016,1135,483,1408,1093,219,715,408,1770,120,819,1511,1027,402,562,1854,548,1431,373,1561,1688,884,1763,752,1067,632,1204,363,645,1640,1425,1450,1766,1042,1375,1458,1486,207,558,787,1141,1514,146,1829,1169,62,804,127,698,1439,1868,542,2114,327,1752,164,1441,581,123,1610,579,170,14,684,1217,460,1181,1941,1923,683,1292,1413,879,1041,958,1050,1538,1593,97,592,2008,261,1980,155,1903,588,1769,869,265,169,115,1054,284,863,260,404,1288,2024,197,920,766,2074,1935,1160,1910,231,348,308,440,919,1818,41,1072,246,417,520,1888,734,1239,610,670,1414,1339,1022,479,1824,737,143,168,201,2066,713}

Returns: "100000000000000000000000000000000000000000000100000000000000100000000100000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000010000000000000000000000000000000000000000001000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000100000000000000000000000100000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
44

34

{1367,1339,203,631,73,763,786,468,433,1291,331,1181,1125,1474,1369,1253,1301,540,933,948,563,478,876,1473,388,1461,533,1128,1357,372,1172,51,1265,131,591,1159,1150,99,734,943,875,716,1222,54,1149,1025,905,1004,181,1396,480,467,1413,614,990,79,1358,1298,188,654,507,483,286,406,264,1119,1062,622,685,820,768,2,505,848,1036,1452,276,1140,675,612,589,830,673,804,1271,1303,598,1151,756,511,502,1447,1316,624,119,134,519,692,1108,418,805,337,382,489,155,908,1009,326,1296,1174,920,65,293,305,413,261,938,707,1234,1178,354,946,1123,239,911,1436,744,129,1038,1238,886,25,840,930,308,772,653,698,1015,958,1212,941,1047,807,1406,314,1001,575,841,548,977,416,1229,128,1028,96,359,988,918,626,514,541,1081,865,1457,1039,402,526,108,312,628,1035,866,903,1107,1179,1343,720,52,120,423,625,222,336,1023,1465,1217,790,906,899,1433,733,997,922,227,58,914,860,422,1171,1310,1005,784,1193,235,994,699,917,1292,1156,205,802,1134,1483,1054,781,719,1287,22,459,105,432,85,1364,955,1031,1275,1394,602,726,1148,928,546,491,95,1268,403,137,170,1337,962,1415,302,1260,24,1095,417,260,173,1122,207,109,200,202,29,1488,1241,792,1334,1020,909,376,1246,392,1239,240,1332,5,518,1059,801,309,1318,90,687,259,369,1255,1412,617,844,244,1076,1162,53,133,561,515,185,234,635,1426,231,864,710,292,1049,249,1103,931,147,304,806,975,1058,633,1098,706,739,884,150,1435,445,476,204,341,749,919,929,213,64,937,534,1355,1088,1453,857,121,425,705,817,900,1019,1443,721,1029,1359,976,219,405,142,1360,1365,774,560,242,111,823,362,1130,594,394,1077,752,407,1079,254,1439,1082,68,1080,915,1492,125,470,351,1264,800,758,492,1266,853,849,813,335,504,1104,999,1011,1377,868,245,457,992,797,637,272,187,1317,1087,521,1022,1470,1383,139,536,1338,1207,585,393,970,605,427,1248,750,661,523,386,856,229,193,1471,896,1216,643,590,694,47,1441,1270,674,290,1044,60,776,1307,494,195,525,300,333,510,163,747,429,520,973,1013,323,267,986,220,1397,91,501,241,1235,552,1109,1472,672,1188,1194,667,294,1199,255,565,684,1487,1163,1240,446,1142,310,659,1293,782,438,410,562,317,1237,959,596,431,1184,419,1203,46,837,338,250,892,652,1311,754,1197,669,845,76,148,1455,490,1099,487,28,1479,1325,1121,179,1192,634,1251,1349,55,311,172,19,1450,1014,995,130,890,252,1395,12,1089,1092,363,936,883,145,212,1146,1330,1347,629,1352,434,835,143,836,1278,160,1420,642,615,400,211,1345,1414,529,371,697,1402,230,42,368,1113,258,123,329,944,1259,1190,881,895,353,1424,59,1336,322,902,595,1072,349,641,1391,43,1158,524,656,527,664,538,570,1469,208,793,246,647,132,1485,63,469,374,62,503,509,746,74,411,389,228,127,484,1399,569,869,328,31,1045,347,934,102,1482,610,435,513,462,553,606,424,954,1106,528,1387,192,1408,175,1137,649,1425,383,1312,1481,114,118,831,901,894,601,949,1167,651,1180,1141,390,789,824,287,11,1147,1321,324,1398,77,126,729,727,1218,748,1071,611,1075,542,1153,248,1060,1486,998,825,516,766,33,380,141,166,1189,877,1495,1034,251,486,1213,743,968,957,1177,8,558,1308,183,465,280,152,364,951,1346,1423,23,618,495,770,767,1276,985,681,953,1297,1198,1362,872,1200,1299,498,879,455,184,966,1480,1390,307,1073,693,94,1243,987,532,810,549,93,1368,696,1118,78,794,1314,677,556,257,1024,715,97,282,1120,842,275,724,912,775,506,1131,106,621,1309,898,1008,742,599,1354,1223,1116,779,751,447,927,1410,1245,75,1012,597,1232,1083,1427,13,960,153,21,940,573,297,1331,1454,587,545,668,274,517,1289,887,1067,709,1476,379,421,442,165,945,939,140,1294,327,270,136,1157,295,1052,971,731,1379,1063,1169,1273,151,1132,18,1304,441,37,1328,1018,557,1335,1231,803,961,568,1370,1257,396,496,1477,1244,858,198,916,1400,1444,373,1041,1350,798,980,814,1272,1053,103,1261,1490,1463,785,178,452,451,381,878,443,838,1048,412,593,144,80,650,346,581,430,6,571,159,583,253,1026,1446,437,619,827,907,1411,603,1002,278,993,732,1069,979,755,35,851,296,67,1176,87,49,1484,404,215,717,1037,237,924,45,646,1160,832,1110,116,395,644,50,1214,461,1030,360,1078,1170,613,1306,1466,233,83,551,713,686,660,983,1322,44,1496,113,1084,537,497,256,387,1133,508,223,101,1341,1418,72,586,1344,680,453,870,600,439,839,398,1032,683,972,88,194,428,874,1451,1458,670,210,1288,757,1254,40,577,559,1202,1173,871,332,377,81,1409,1269,415,444,1097,1042,236,1456,1262,9,1282,1221,190,124,1324,1263,1182,448,620,1117,135,1093,488,196,632,115,584,762,861,454,460,4,1236,665,1277,1105,1064,730,863,1127,1242,579,1295,1094,676,463,714,315,543,98,1407,265,671,1186,318,1340,313,288,464,564,760,182,344,1385,191,627,474,1348,1057,1434,544,645,154,375,343,932,783,214,243,956,171,281,723,26,974,289,1138,1017,334,829,818,1372,984,216,889,199,138,157,638,809,1070,1100,996,728,1090,1191,370,1386,811,320,500,663,1376,850,531,1135,1233,15,493,225,882,816,1404,799,1494,361,7,761,978,342,964,1329,623,1111,935,1449,401,1007,10,206,262,458,226,741,316,1417,1422,1249,764,1165,1003,657,1016,303,812,499,1442,1489,1374,1256,718,921,1247,897,1375,271,1333,735,1327,1252,1,788,277,221,1381,826,456,161,284,1437,365,1010,738,1467,479,1208,1475,822,550,1371,1154,1464,17,356,952,450,1280,339,791,117,1204,1230,38,1129,1215,169,71,852,482,566,197,1091,539,578,1226,426,1056,885,828,1462,466,737,771,910,1040,449,1305,1432,682,923,36,588,1393,662,122,1478,522,821,787,679,266,475,1430,1219,156,291,350,796,1405,1187,473,950,100,268,1050,1302,702,1112,162,3,39,1085,1000,833,759,357,567,1027,358,481,1168,1279,1274,1431,1326,384,485,1440,273,778,969,217,306,32,1205,740,1373,168,1155,846,1065,471,57,1033,1210,14,530,86,391,1185,409,82,777,472,149,69,1416,34,867,345,1114,609,773,1459,1468,1366,582,904,1438,238,655,1166,1086,547,84,1401,607,1315,991,1389,640,1319,1152,689,1195,942,963,1115,1403,146,1183,701,174,1382,1143,279,736,1460,891,164,695,795,1145,859,1421,186,285,1384,1320,1323,1206,555,925,580,1285,1286,700,604,110,1392,1313,66,269,1363,1161,209,703,1220,321,947,1124,862,711,1201,967,477,218,1361,1351,708,688,712,355,1283,512,576,340,592,1493,535,299,982,1419,107,926,1380,20,1101,913,232,167,678,180,1211,61,16,690,1428,27,616,722,1224,189,201,1356,1102,1196,298,366,780,1066,158,367,819,48,1228,1445,834,1491,319,666,1126,397,224,965,1209,808,263,691,873,1378,56,769,1284,104,572,639,70,1227,1267,815,378,301,1290,1068,1258,725,89,112,325,41,1300,176,636,92,1006,648,1061,352,1281,283,1353,348,1388,436,1164,630,1051,574,855,385,1175,1448,989,30,1074,1225,1055,420,704,608,893,1096,1021,1136,745,880,753,843,658,247,1043,177,1139,1144,847,1342,330,414,1429,981,554,1046,854,765,440,408,399,888,1250}

Returns: "10000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000001000000000010000000000000000000000010000000000000000000000000000000000100000000000000000000000001000000001000000000000000000000000001000000010000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000010000001000000000000000000000000010000000000000000000000000100000000010010000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000100000000001000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000"
33

31

{840,387,386,479,256,155,534,649,259,179,193,107,933,731,65,909,471,287,953,181,558,772,188,46,832,292,841,586,937,417,345,463,149,590,358,196,756,143,374,229,995,820,543,338,658,850,545,469,136,984,896,377,94,1011,124,411,553,645,133,1015,399,762,80,113,105,513,677,115,142,885,308,594,62,627,838,83,244,708,865,385,980,745,999,1014,561,703,739,20,997,130,52,794,14,978,672,755,805,8,529,449,712,453,635,769,431,16,77,992,236,546,711,563,515,456,655,576,884,127,92,27,393,827,41,247,763,782,441,977,270,1019,931,398,938,676,321,481,99,37,768,736,830,654,477,480,24,213,54,592,119,868,100,786,218,172,419,390,339,271,132,959,555,281,787,790,19,720,248,257,38,531,640,509,350,146,211,792,122,63,11,551,630,472,821,1012,727,844,13,971,371,397,4,903,74,767,520,98,975,807,890,761,673,319,669,324,34,318,895,401,334,303,616,230,48,1023,433,749,799,273,239,657,911,663,442,362,106,422,340,757,567,628,298,795,418,506,951,67,765,12,970,267,486,754,438,379,946,164,674,258,231,427,1018,1005,813,55,450,719,498,178,276,51,290,454,869,604,40,802,436,689,566,286,359,171,238,1000,945,163,856,696,157,342,961,147,646,1008,519,533,721,135,877,620,963,718,205,835,695,332,905,866,758,808,764,919,326,97,564,716,254,722,962,141,228,681,891,596,199,1001,346,550,518,458,335,23,389,437,998,278,325,316,428,194,490,981,968,585,510,880,215,924,597,103,901,525,485,123,779,482,942,927,330,517,241,934,394,771,637,337,575,475,700,474,344,72,53,1006,709,444,746,302,759,225,202,198,687,406,588,95,702,447,913,75,392,331,2,347,409,724,503,532,608,306,405,421,410,322,402,429,780,167,678,129,693,191,120,570,459,516,313,632,416,923,424,606,376,774,809,996,793,691,958,948,473,957,864,692,539,47,261,177,811,1016,610,7,562,301,491,928,642,3,407,492,1,227,870,559,788,88,647,81,814,883,192,152,636,528,900,430,954,73,849,18,412,803,355,134,898,777,1003,208,560,526,859,353,263,876,365,505,922,941,499,857,622,201,967,549,217,522,907,500,380,375,351,690,277,186,976,801,753,173,289,633,740,446,964,728,487,979,76,110,368,169,210,993,930,744,159,233,31,611,189,158,311,221,939,176,166,862,404,699,916,848,483,552,742,894,944,612,426,413,91,670,867,886,367,131,660,435,874,9,989,439,384,982,182,994,293,493,101,536,305,960,936,219,445,538,245,304,30,836,899,925,395,56,783,514,918,66,824,464,556,315,203,36,574,235,666,45,291,818,732,910,688,22,623,613,336,328,641,57,29,609,972,741,986,15,1010,128,50,599,268,587,584,607,825,242,209,153,360,1017,373,921,929,1022,370,333,723,139,59,200,283,789,1007,495,638,541,156,966,680,282,602,540,639,634,255,109,310,661,383,920,237,618,706,858,180,185,451,434,408,806,39,831,651,605,79,578,296,842,752,791,274,307,872,730,467,717,280,547,557,855,917,212,778,320,524,667,675,770,42,187,819,1021,965,760,363,25,504,652,665,361,725,523,161,251,804,323,400,43,112,892,396,90,817,974,348,162,145,356,812,85,581,70,535,685,462,847,949,810,364,138,853,625,478,569,151,748,591,279,17,111,947,600,932,343,829,5,432,796,312,686,1009,773,854,598,246,69,580,455,183,378,537,126,68,601,170,882,144,653,593,502,108,548,816,579,501,78,265,621,837,530,154,846,704,496,694,881,443,833,860,299,64,226,926,93,935,902,425,6,104,452,140,973,985,583,234,714,544,572,988,58,707,184,175,521,89,683,729,264,252,701,250,1002,220,568,987,216,512,207,137,10,698,834,527,262,643,766,571,511,671,86,35,125,327,87,269,160,165,823,150,565,195,863,329,542,494,577,224,983,879,197,341,852,457,679,629,897,878,381,990,148,955,470,284,174,223,912,260,1013,738,32,489,204,650,382,484,222,785,851,906,366,991,497,889,295,297,800,750,21,845,369,969,288,349,828,843,875,713,614,659,682,214,275,114,372,914,249,84,354,775,117,476,272,619,243,656,357,715,508,943,466,118,190,61,826,465,797,423,33,815,887,1004,554,253,662,440,751,96,285,615,573,784,294,414,352,873,710,266,798,468,314,102,232,644,388,908,488,781,733,420,300,168,461,415,309,747,624,737,668,626,734,1020,697,44,888,603,448,71,915,950,893,726,940,904,240,776,839,317,648,617,582,507,952,121,589,684,595,631,871,956,460,28,60,391,49,664,116,705,822,861,26,403,735,82,743,206}

Returns: "101000000000000001000000000000001000000000000000000000000000100001000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000100001001000000000000001000000001000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000010000000000000000000000000010000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000010000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000"
12

6

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

Returns: "100000000010001000010000010000000100000000000000000000000000000000000010"
6

36

{132,137,216,53,142,79,106,101,1,172,173,59,117,56,209,116,99,54,143,108,160,51,44,189,125,65,186,87,139,50,180,104,46,57,71,184,135,193,155,164,30,169,77,17,170,182,63,34,49,70,118,9,73,14,76,58,166,178,82,98,90,126,196,203,127,202,20,111,11,18,214,174,171,107,4,195,22,3,152,210,52,199,97,145,179,42,205,94,7,181,114,119,201,213,187,66,83,207,120,23,91,177,144,121,113,36,69,206,124,33,29,128,163,93,5,6,37,129,92,183,75,150,47,84,32,96,197,67,157,161,134,61,149,208,74,212,55,85,165,10,188,146,16,31,89,39,148,131,8,130,215,191,133,45,190,48,62,162,28,72,68,95,38,21,24,103,156,80,185,100,167,176,154,112,64,204,102,159,141,211,140,15,198,123,19,25,136,110,168,151,26,81,27,2,153,122,60,78,115,138,200,88,147,35,40,41,109,105,158,13,43,175,86,192,194,12}

Returns: "100000000000000000000000000000000000100000000010000000100000100000100000000110000100000001000000000000000000010000000000011000000000000000010000000000000000000000000010000000000000000000000000001000001000011000001000"
1

29

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

Returns: "11111111111111111111111111111"
32

50

{1141,323,98,1244,1436,1100,428,983,724,200,587,1126,768,1236,1221,586,888,1157,171,118,468,1222,667,728,1018,1252,441,1054,311,44,1320,582,1351,324,226,42,1335,149,872,1409,63,28,1341,1490,1517,1336,1368,347,749,257,379,953,1418,1223,785,1357,723,1005,466,598,514,1120,964,1031,737,729,744,1461,435,1325,1568,1285,1224,1046,940,993,866,585,1171,377,1281,90,434,574,169,1140,1001,1289,1317,1189,1378,402,1101,1208,1358,969,1115,193,259,1556,870,1478,506,1020,668,1084,1491,630,602,947,1393,769,761,136,518,669,224,1298,89,1443,1246,733,588,909,1183,1083,1440,60,262,237,1166,831,187,1376,115,1377,1563,952,1449,1594,1371,418,645,1301,348,830,1420,786,1024,1521,793,111,1596,711,1326,889,430,62,677,1590,1304,1059,1087,1322,903,629,459,765,103,886,1531,1036,566,293,1025,1551,603,1081,211,184,754,422,1267,936,1506,143,230,821,1430,533,1240,1460,144,520,1485,483,974,333,209,1154,1047,1158,941,1599,1068,1188,55,217,396,1499,1408,448,194,23,419,1379,1481,1177,696,976,1315,102,116,681,868,281,87,1405,1374,1579,577,1477,22,1242,902,928,1161,59,470,330,384,614,474,500,625,1009,239,689,1197,513,346,1293,747,1524,1492,702,181,1049,601,1138,1469,880,1456,1170,972,1338,195,142,624,405,539,1406,1128,1417,477,591,536,919,1540,1482,637,1319,20,1451,133,322,1318,946,399,874,890,1012,914,607,583,1218,847,554,1468,1124,1130,908,743,1287,122,131,716,1498,1032,1329,363,1234,1228,66,41,1263,712,1595,1230,627,78,109,1584,1043,705,959,365,883,382,1259,660,704,315,673,740,1129,548,53,1547,734,127,939,429,1159,796,82,658,504,592,222,117,814,1136,1508,1074,597,1048,787,701,247,337,570,606,12,640,185,984,1400,1053,633,249,1415,393,694,798,1452,714,634,687,1571,578,1065,639,261,920,336,410,882,1513,1501,210,1484,1526,968,1055,564,1555,1340,51,1353,1186,207,457,900,873,318,79,802,1545,816,647,351,806,358,1539,93,736,1097,1280,1260,1550,1554,671,450,651,1367,1057,828,1200,619,1327,876,678,1586,1168,1091,1530,1574,263,489,1442,822,688,810,150,291,121,145,135,1362,626,494,413,1092,789,345,1271,167,1383,394,1564,467,800,297,37,368,1179,817,283,530,49,31,1534,1038,183,698,1172,1573,618,1064,516,699,543,1146,252,1557,99,392,515,1288,1178,557,1162,1314,1364,484,1388,432,1026,1019,125,950,985,710,864,154,594,885,372,1145,1029,730,1099,1425,1511,244,608,943,961,71,388,161,162,721,80,1331,451,521,542,879,1447,1217,932,1510,918,110,19,411,491,403,1052,510,378,635,206,376,374,1302,414,809,408,517,1028,971,1147,1347,277,1410,205,827,140,1361,1058,726,308,340,45,562,287,682,1169,788,829,479,994,380,1448,995,1419,255,949,690,1543,718,526,1192,1518,1360,229,1185,243,1401,3,1142,837,522,862,561,1102,446,197,693,248,383,485,834,755,1444,482,94,475,1546,329,397,50,332,544,270,1397,663,1363,1229,1570,1476,589,178,1039,309,1268,1173,1429,666,147,762,616,1542,986,278,1392,157,271,1149,1104,189,1110,795,628,155,1308,713,917,1310,523,1199,644,385,284,572,906,1337,970,469,1235,546,766,1407,355,1450,1291,1373,442,10,1198,1015,286,1559,276,1202,1562,366,622,871,801,431,425,538,486,1295,398,40,48,160,1076,21,288,114,190,1352,443,609,130,1313,680,33,70,245,1305,670,1535,107,369,234,24,164,820,361,1078,240,1277,850,1215,560,1096,452,280,1063,1426,1094,313,1593,1108,1391,268,1494,128,1066,417,503,512,1085,665,652,568,370,1431,251,39,1432,1265,650,371,1006,642,525,653,1275,590,922,83,881,534,1248,406,507,1479,1296,1416,331,933,43,664,715,439,1000,415,1489,558,25,487,1549,1306,282,58,1278,1504,1467,519,433,954,165,1533,819,447,951,91,1349,778,401,1332,1193,722,982,1021,204,1421,1372,495,170,1176,615,301,344,803,375,620,1472,1592,265,1164,1396,685,784,454,595,1359,641,1211,421,1457,1348,426,925,892,1150,481,826,274,1548,350,338,1567,1433,65,233,929,1051,926,1560,1505,927,1209,456,1578,511,1093,1486,1552,472,1423,404,948,1073,1386,198,709,334,461,836,113,1527,1458,1148,735,963,1487,177,987,427,1519,1037,1585,327,386,389,649,1509,1381,1205,549,47,1577,1284,1387,182,52,1195,1226,988,813,236,997,916,764,188,999,1330,1536,502,865,849,306,1042,1220,68,1434,692,1111,686,1269,553,364,320,1156,85,220,221,610,1345,1067,1575,34,253,138,141,1086,646,69,1119,706,76,1011,92,1438,875,38,571,877,1565,238,1587,708,1365,317,1356,1181,387,105,611,201,1109,815,1389,1127,335,632,659,763,1528,604,354,1553,100,72,1411,152,977,957,1105,569,1122,531,978,791,1258,423,300,29,168,593,617,1404,339,1266,1210,752,579,362,863,965,302,471,600,727,498,1515,781,1070,966,942,1309,772,273,126,1342,895,739,661,1299,581,1107,759,1089,13,202,173,256,16,1072,1044,1045,1151,1414,231,208,156,223,1346,655,612,316,1187,981,654,235,998,861,132,134,1225,501,844,931,5,1131,303,106,1375,576,573,112,158,319,310,1435,779,219,697,108,1079,1582,540,1013,342,242,493,767,290,349,381,1576,1237,1470,54,179,757,790,1474,1214,166,636,596,1139,675,1041,473,212,289,1112,96,901,352,1380,1273,232,505,1569,488,563,285,556,1213,898,1071,1212,1600,1589,1144,973,631,1334,101,913,1402,1541,18,751,124,684,782,912,1333,1283,460,848,731,1439,1558,1255,860,328,356,1537,758,1598,67,326,314,1583,1473,1,1276,1339,159,989,1247,343,1121,1561,1175,497,776,1061,1103,896,1538,780,756,662,1245,1030,773,797,267,304,440,679,424,1497,476,97,1343,1227,1588,771,298,777,360,838,6,9,1160,869,1098,1152,1082,509,1529,1385,180,373,56,1216,537,120,1395,824,1399,61,465,760,84,1113,811,1135,1516,1232,1207,783,86,1525,958,990,453,321,894,934,1303,1437,1022,695,1369,1323,2,807,1500,992,32,341,839,643,1445,264,746,295,555,36,1480,1163,1503,897,296,843,580,720,944,1597,1238,703,148,867,275,656,73,529,808,1016,833,1344,203,584,1125,904,1424,151,1219,1155,1366,17,409,153,532,458,893,294,1191,725,400,490,492,15,1441,119,967,1272,905,1034,1427,1262,1493,1307,176,1279,878,541,854,279,1488,748,250,218,46,1196,196,528,1027,95,1282,1134,1514,1466,359,1106,1412,199,527,1088,1190,163,357,887,213,938,254,551,1471,1253,1201,367,1077,605,391,1483,980,1118,1143,1453,700,575,1123,921,884,1117,260,930,853,717,1133,455,1297,1050,567,81,825,325,1523,508,1355,1257,1182,962,7,74,545,1023,75,1398,1008,499,979,353,1153,1384,444,1017,960,312,565,1180,35,4,915,1004,1290,1035,804,1566,1256,1572,241,1116,1204,8,1056,1507,1167,775,805,623,1446,707,719,1090,535,907,855,1231,1114,638,464,1095,129,858,57,1520,77,657,214,1591,1382,794,227,1328,174,745,818,1003,1370,812,496,1462,269,1075,1321,14,395,1300,445,172,1002,851,416,856,1274,738,1532,845,266,478,1239,770,1137,1010,792,945,437,139,841,799,599,1465,1194,246,842,186,272,911,1203,1454,27,1243,832,774,1184,30,436,463,996,1312,175,1422,104,846,215,216,1311,1014,191,524,1062,1040,852,1459,1080,1544,1270,1261,1254,299,225,910,1316,923,621,146,412,975,1069,937,88,1403,1475,137,390,1350,1292,1249,991,674,547,676,550,1580,292,732,1522,648,823,1390,1132,64,924,1060,258,691,26,305,935,741,480,559,420,462,683,1206,1464,1264,1581,1455,956,857,672,438,955,1233,753,1495,1394,1354,1286,835,742,1512,1174,449,192,1496,1502,891,123,1165,1033,1463,1428,859,1007,11,1250,1251,613,1413,899,1294,840,407,552,1324,228,1241,750,307}

Returns: "1000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000110000000001000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000010000000000000100000000000000000000000000000000000010100000001000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000010000000000010000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000"
5

11

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

Returns: "1000100100010000100000010000000000010001000100000000000"
23

44

{599,188,30,744,788,213,339,437,597,879,664,662,824,89,445,77,281,682,947,417,344,585,391,368,588,834,789,957,469,168,757,296,118,75,467,915,47,801,372,283,342,678,749,412,589,378,238,636,458,767,577,144,250,612,502,966,84,778,873,94,375,583,708,25,581,249,181,131,843,807,615,106,51,552,112,504,472,523,746,733,204,764,117,929,900,532,723,630,207,687,123,145,830,151,562,811,943,119,563,575,897,422,730,920,521,1,982,191,748,800,438,772,38,356,500,209,752,922,31,152,423,587,319,328,58,859,579,551,975,302,479,989,337,894,300,625,798,149,921,208,914,555,890,275,949,936,956,346,722,592,365,996,641,317,164,257,667,206,885,361,248,414,546,696,54,83,994,812,332,937,741,408,39,108,1011,578,867,338,363,840,309,63,455,21,655,241,964,1001,315,420,909,819,984,877,219,225,388,861,14,292,370,66,463,153,101,962,507,157,945,229,450,237,923,345,732,902,387,634,497,476,235,416,440,366,825,395,29,645,549,756,670,430,738,619,487,425,1010,428,1007,130,116,931,970,566,878,832,882,758,298,508,754,624,203,457,601,883,34,24,3,127,638,820,712,681,846,439,243,36,7,406,644,701,726,478,990,272,647,494,718,692,198,351,26,816,496,490,637,952,360,318,751,72,728,675,262,87,862,987,336,848,543,980,389,918,82,67,102,460,610,761,721,147,568,70,79,474,397,50,270,913,797,64,382,399,86,973,431,246,199,580,20,333,470,286,522,884,799,857,823,221,769,836,944,729,690,847,240,124,383,371,126,122,699,893,887,5,735,452,297,137,524,755,261,698,737,9,45,421,125,611,946,866,886,785,576,285,511,459,553,234,629,591,933,776,864,146,434,901,343,308,194,485,837,919,239,895,842,348,226,652,162,905,136,995,466,968,786,874,100,833,105,505,561,707,287,256,290,517,448,814,57,103,433,429,802,76,349,734,965,653,538,223,691,935,224,747,329,683,446,330,306,661,550,705,986,868,276,59,607,165,938,109,618,684,869,217,932,993,560,93,770,335,569,782,596,620,11,187,359,695,516,603,393,218,451,310,354,934,415,537,288,78,85,631,69,13,384,381,926,182,386,325,326,781,454,268,233,557,533,518,376,992,648,849,444,590,462,486,192,709,688,266,898,314,456,676,704,520,35,228,91,104,475,513,265,574,129,150,289,8,774,312,92,132,424,245,491,567,657,792,279,635,227,763,815,526,65,720,173,68,660,230,284,179,831,783,948,44,617,795,711,835,854,443,247,110,967,202,222,380,216,875,120,17,418,715,291,357,697,940,170,2,525,725,1012,353,367,27,760,484,362,373,771,407,927,626,193,958,214,258,870,643,200,56,679,210,503,558,111,379,299,442,483,651,724,953,10,477,658,169,189,671,465,133,880,280,510,941,46,141,821,331,793,828,155,1005,167,436,680,593,954,62,530,55,616,713,939,1003,768,480,394,80,613,693,128,844,215,527,175,73,385,98,177,313,220,252,981,633,48,907,649,347,852,295,703,321,979,904,1004,135,829,706,4,255,570,97,930,19,817,582,327,955,999,148,236,826,719,565,951,196,41,176,1002,853,765,52,267,53,762,677,851,514,988,665,15,251,242,540,950,559,61,390,303,473,311,858,961,178,674,673,156,498,654,410,180,595,205,481,650,461,827,856,639,1000,139,573,1008,320,773,963,427,759,99,519,888,779,143,403,983,554,753,509,154,850,584,90,294,805,736,600,115,838,244,556,323,186,716,277,839,161,60,163,18,16,184,916,88,602,71,324,278,892,138,140,985,598,541,190,355,142,780,95,253,911,740,694,401,492,908,488,42,185,547,506,976,542,702,910,974,107,787,686,489,535,777,714,197,871,6,803,806,750,872,865,659,572,896,259,441,23,447,743,663,307,627,301,594,809,586,791,435,183,998,32,881,419,392,717,411,432,1009,499,855,959,622,269,263,28,495,271,231,534,668,685,12,646,398,818,195,700,264,739,845,891,794,374,605,171,274,493,924,305,571,43,512,134,742,808,942,813,159,632,515,991,960,304,166,211,531,972,614,841,899,212,273,804,293,22,796,426,400,978,669,404,971,666,49,282,40,912,121,917,564,790,672,604,340,352,623,402,396,536,453,113,822,369,928,810,158,449,876,96,81,482,775,114,174,860,377,969,260,322,1006,471,640,977,997,544,468,903,656,545,784,906,464,689,548,350,621,501,609,33,316,409,628,863,642,341,201,710,364,334,528,529,731,413,232,539,254,160,608,358,745,606,37,889,405,727,172,766,925,74}

Returns: "1000000000000000000000000000001000000100000001000000001000000100000000001000000100000000001000000000000100000000000000000000000010000001000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000100100000000000000100000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000010000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000"
1

1

{1}

Returns: "1"
10

43

{140,405,8,199,411,197,283,132,202,154,387,281,428,382,58,308,2,290,207,229,231,103,274,354,351,131,263,41,407,65,158,134,228,159,53,398,5,113,177,102,284,240,109,150,3,37,291,409,349,148,101,394,89,429,249,87,361,299,389,279,21,221,287,167,61,359,326,99,208,45,190,194,225,75,181,209,404,210,306,243,80,115,130,111,217,363,423,348,241,214,259,149,220,396,105,360,151,245,328,44,377,114,337,198,300,93,236,418,91,175,14,364,7,425,39,247,188,295,153,186,277,276,125,408,46,192,36,72,128,33,97,67,315,238,16,226,301,51,255,358,163,62,237,403,124,119,381,100,379,162,24,397,42,71,122,378,331,294,427,54,27,376,239,309,193,373,367,96,406,339,319,136,321,390,384,316,419,216,268,293,90,195,57,302,28,288,168,43,280,270,204,343,400,11,272,201,335,79,106,47,399,18,269,323,286,426,157,52,327,402,388,271,88,344,410,146,264,341,391,413,244,26,144,32,253,422,171,254,430,20,332,357,224,133,152,250,176,412,383,117,110,141,242,156,227,66,9,179,262,285,145,310,10,298,395,120,352,160,108,60,15,273,182,34,246,23,278,374,336,82,417,292,174,161,340,222,345,420,164,421,330,257,324,401,215,350,307,266,333,424,12,260,297,342,304,205,218,325,64,30,166,416,143,126,121,4,355,38,69,372,385,98,81,170,317,371,116,282,165,313,73,346,173,184,392,185,347,356,183,55,203,252,76,219,70,375,19,191,234,233,142,107,178,180,248,353,223,275,362,386,213,370,414,251,85,25,338,334,393,118,123,129,311,200,63,329,94,256,78,365,13,112,369,155,92,29,265,6,189,104,415,322,320,86,127,59,48,83,35,74,77,31,314,22,95,380,50,258,267,289,187,49,169,232,303,40,17,305,135,139,1,368,212,312,211,206,230,172,84,196,138,68,235,137,147,366,296,261,318,56}

Returns: "1000000000000000100001000000001000100001000010000000000000001000000000000010000100000000010000000000000000000000000000000000000000010100000100000000000001000010000000000000000001010001100000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000010000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000"
40

49

{1023,985,954,1706,774,1387,17,1683,841,1635,1565,820,71,563,1874,1663,1069,698,1589,760,127,794,226,1603,731,818,619,306,1773,811,1024,681,1582,787,379,466,1714,1067,11,103,1524,937,1490,122,723,1479,1032,1226,355,380,1054,33,598,849,1481,1162,203,1678,278,1681,1018,1631,1546,1684,201,1877,42,624,407,259,1496,1478,291,976,123,164,81,1094,972,90,1128,656,746,253,1043,366,1468,1254,982,1159,137,146,1633,1257,1472,694,26,1609,1566,1161,780,516,331,262,1942,108,1535,553,1507,361,83,947,1845,86,1186,910,1191,552,1900,927,109,1220,1380,1824,1558,1840,268,372,364,454,314,1122,966,1071,493,1898,1668,468,923,874,1464,1463,1328,342,1167,142,1954,300,949,150,1315,112,585,1957,855,1809,297,1227,1598,434,1891,1369,959,1373,1956,1112,788,1347,1495,778,634,455,1602,901,892,685,100,1327,166,1096,1581,482,76,1444,799,1541,1801,1259,1213,843,757,152,246,1452,1469,411,1497,1850,704,945,1880,1153,968,1455,104,1527,1588,1509,1799,837,182,1049,451,373,1037,1378,1739,425,1540,197,52,762,791,1293,1948,88,790,1677,1134,902,310,844,256,1279,161,65,1794,1722,243,1925,1131,1564,679,857,216,326,1860,654,1615,303,1029,1843,693,506,921,1245,1813,890,1150,904,337,745,428,738,620,1818,1811,1181,1129,743,250,752,1704,970,1531,858,47,1691,1939,885,1326,1842,1745,312,1590,1759,1108,1530,888,952,317,720,1592,1028,1836,1359,1432,412,163,1484,251,1449,759,1542,1158,1371,533,45,1115,570,1251,1792,1448,1223,1287,1557,1940,200,1077,729,1812,1760,529,919,1837,870,1330,880,514,1417,78,1357,347,1808,987,1230,1909,1146,1004,935,1777,1755,1856,1804,1563,1311,128,1389,956,296,543,1166,426,304,106,85,614,1228,933,1710,798,541,1946,1506,1599,777,565,1178,666,1329,1625,1738,1841,1480,1555,1761,483,267,1728,1151,459,1103,1518,744,667,430,1319,658,1935,318,1036,1861,1950,143,1010,1534,323,916,594,35,829,378,328,1611,536,1742,1774,515,1397,1573,691,1012,1366,1114,1302,1847,706,850,804,588,29,1087,1066,1456,639,808,1139,1757,1440,386,75,1277,1913,242,118,1235,907,1688,1314,1410,983,265,1770,79,884,1486,1260,1585,994,1033,1896,1155,1459,671,748,95,1749,1805,1048,433,1884,38,6,1450,1665,939,392,1414,1098,1500,724,277,1274,353,900,1316,1424,1857,1009,1154,1393,1281,647,1679,1556,336,1567,1079,1690,754,1504,683,627,1394,1267,917,3,969,1516,1780,475,534,1089,1781,1489,1209,1173,733,512,1409,1060,21,1175,427,630,1014,232,1064,1492,1510,340,245,1873,215,539,1620,605,1670,1477,1427,1655,1626,1870,198,569,153,1451,260,1352,214,145,344,273,281,1831,1445,329,1528,1265,1429,577,747,1207,936,967,213,73,675,1591,540,62,830,896,861,1562,1545,1370,1278,1949,832,479,1109,285,1183,1171,1038,1180,941,1263,393,1779,1743,992,680,10,822,1342,922,903,1945,1536,929,554,1711,272,1666,1205,365,1632,690,192,1538,64,1875,793,842,469,603,519,1619,776,1362,1285,1667,82,1335,590,1664,496,1888,1747,1918,1491,115,408,1753,1515,1863,839,651,133,72,1192,1164,951,1471,374,587,1554,1763,1881,1437,185,457,316,147,631,415,330,682,1782,632,50,1584,155,398,1769,1296,1360,2,763,126,1078,1692,727,1434,1017,476,1795,96,1766,462,1853,1400,404,1292,867,1653,240,831,472,162,688,1170,498,545,1814,419,1820,772,986,1447,1672,168,1138,269,1550,359,1008,1537,1858,1203,1027,1617,508,805,1353,1669,1125,1137,1003,628,918,1168,997,438,1849,1194,57,1268,1358,978,872,557,1332,1243,1075,148,486,1418,1513,1204,207,1182,424,955,1056,891,1215,546,1578,1240,973,440,846,812,990,1395,1776,1025,551,517,199,1238,601,1605,1833,449,1628,195,58,1425,1930,1031,1088,946,352,730,61,1838,1165,1894,1765,636,701,950,716,1829,1177,60,1487,205,1764,1597,1523,234,74,678,1630,446,756,320,1039,960,1532,1133,418,1443,1337,313,423,477,173,206,1613,932,700,1703,1435,1308,1197,1544,490,1701,1090,583,1320,1132,1623,1675,548,1474,1110,800,576,120,130,1821,591,254,1505,70,925,1123,131,397,881,292,581,357,530,101,376,98,176,385,1423,1596,32,616,375,1300,194,210,1786,806,599,1206,356,1091,1699,1116,1426,1286,422,233,1715,249,1401,502,1283,1391,1483,382,1905,1341,644,626,522,110,1687,1176,801,505,1216,595,165,710,894,261,409,1312,1188,1735,450,345,414,602,1236,1637,1382,878,623,1862,1904,1242,222,34,684,1305,276,1595,1331,615,965,1661,339,1210,814,1816,290,394,873,1822,1446,1726,838,1876,833,1580,1231,1855,174,190,171,481,66,1321,1859,230,1707,141,212,1762,980,1211,327,84,220,474,560,485,1886,739,705,1501,1883,1318,1041,315,1594,1199,1196,44,523,1725,1195,621,1200,1217,1019,1351,646,49,1867,637,221,1708,618,851,447,761,227,1306,1586,321,889,1377,1250,511,524,1121,211,1428,1929,1734,1156,673,943,1952,643,687,1907,702,1748,661,188,349,1488,1076,1852,1045,1309,1083,283,293,1549,1928,1526,465,1149,28,53,1724,1458,1385,1101,1092,1817,711,984,617,18,1430,343,792,527,697,491,1514,1239,400,934,1344,607,1055,1660,429,580,938,1787,1955,77,1247,1897,1053,487,823,1910,635,135,244,1255,953,1253,1866,1825,520,208,1937,1135,1539,1576,988,1868,280,589,448,782,324,1105,1002,80,105,535,1073,824,1413,816,286,964,13,1383,384,677,582,187,1871,1113,1926,239,1141,1062,1405,1941,504,1587,1616,742,1658,204,1644,1261,1879,906,1219,309,1494,180,696,381,1322,1301,1922,1376,1035,284,1264,1244,362,1136,853,1040,597,1834,1340,1324,1375,559,497,456,915,1276,963,1723,264,1499,575,779,610,879,453,899,1411,30,1522,1044,1404,521,981,236,609,893,1111,707,1923,1061,1673,1145,538,288,1119,995,1520,1493,1636,196,1368,1521,537,574,1533,1652,606,92,170,784,578,1927,113,717,1767,435,1700,510,54,869,909,544,97,1000,219,48,1384,555,1482,1333,20,638,1560,1189,897,354,460,1307,1830,1607,1398,1511,1903,391,37,405,531,1851,513,886,1303,1284,1730,962,1441,1892,442,1791,1310,1343,948,770,579,1421,674,826,1143,298,1797,749,542,1345,1059,1172,732,1872,1869,1647,1157,1698,1280,1608,432,1065,218,1396,825,564,1461,1193,305,611,396,775,1733,27,1895,1439,1502,940,388,712,488,1936,1289,1104,1934,1916,156,1651,1288,383,1225,301,758,645,1431,1473,854,1646,1058,1569,735,1381,1093,1744,1741,1282,1127,1729,1099,160,279,876,1476,1656,1693,802,1338,154,566,586,550,768,480,410,561,389,1783,1959,979,1304,1570,177,1467,1252,257,1407,1325,998,828,1465,91,1606,1552,911,996,989,974,1919,815,895,875,139,1224,765,1848,558,31,1298,1148,766,500,1390,1705,914,99,944,1218,715,1624,1800,1931,1299,370,662,1622,1202,807,1222,1070,1063,191,464,4,402,786,445,1686,1184,494,887,1454,1348,413,40,338,1721,319,1543,1680,266,1906,1921,1475,390,5,308,360,1107,1020,1650,928,1190,238,1201,1933,1604,1294,1470,1034,1005,368,117,865,1674,1751,868,68,1642,608,1436,650,958,1363,1408,1416,443,813,930,1097,1772,1349,441,129,332,572,1047,1911,282,1374,1420,525,750,847,1694,484,740,1920,417,862,1671,341,912,1778,1621,708,803,1160,1214,1174,248,797,235,528,1026,1152,124,1568,111,63,183,1659,1793,629,817,1577,1485,1517,796,1731,856,689,369,1593,1130,132,478,719,1803,741,1232,1551,401,263,1,924,1403,1639,642,518,1147,1022,1117,1712,668,1890,789,1126,136,877,1015,593,1832,827,274,387,1815,1001,840,363,1317,56,751,175,495,1498,114,1571,237,1269,1727,1118,1365,335,437,653,571,1081,1086,406,977,736,1947,311,1717,416,1290,1601,1248,172,1140,695,657,664,1754,613,24,714,25,1313,726,663,471,503,1030,1102,463,51,1144,795,633,1645,41,9,271,225,1392,1912,223,1503,1960,1422,652,1854,725,1013,1657,692,567,655,151,202,125,119,971,659,186,1271,322,94,1806,157,1864,834,107,1080,859,181,1350,1412,1887,231,810,882,1746,302,1807,1356,1124,863,665,1719,473,1789,403,1361,43,1844,722,1179,179,1575,334,1419,1951,1718,1291,1367,1629,1775,134,721,584,1689,1212,1917,1187,957,1835,1042,1249,15,592,931,1336,670,121,669,547,189,55,1713,1508,255,1828,461,93,1548,848,769,1438,1788,1553,439,1648,193,144,492,852,1021,289,1758,470,421,596,556,612,1810,1198,920,1120,1050,1415,781,436,169,1771,866,1237,1519,39,1893,241,908,358,1682,1386,1379,1943,1364,845,625,1846,420,728,1839,975,737,686,87,764,1579,270,1826,1295,1784,102,835,287,753,734,1006,1258,1649,1750,1355,836,1889,783,1915,1016,1823,1827,1095,501,1732,1885,458,1442,1914,864,1709,1878,1185,771,294,1924,604,377,350,7,1638,898,452,1270,1074,178,821,1406,1802,699,1100,1720,1052,1106,1702,395,138,1082,1453,1908,1266,1512,8,1085,1932,649,1229,773,325,1547,467,116,184,1752,1614,1354,1938,1768,568,1819,573,1084,295,1262,1640,19,507,1559,217,509,1346,1221,1953,1246,252,549,1676,333,1256,399,1399,999,431,1057,1901,600,1072,1695,1466,499,1323,1740,371,1643,1297,1697,993,718,1627,532,926,258,755,703,1068,247,660,913,59,1388,16,1233,1634,1716,228,1460,1007,46,209,883,1011,709,1457,1142,158,1958,224,1273,14,1529,1169,1610,1902,1865,1654,1051,159,1899,1275,89,1796,672,1462,1525,562,1572,1756,1433,1785,275,1798,351,640,1334,1641,526,1402,307,489,1685,149,767,1583,622,348,1696,346,1662,1272,1339,860,1618,69,871,22,1882,36,1944,67,1612,1208,1234,140,785,1241,1790,167,1372,1736,648,367,12,819,809,991,299,1574,942,23,1163,1737,1600,1046,229,641,713,905,1561,961,676,444}

Returns: "1000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000100000000100000000000000000000100000000000000000000100000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000"
7

1

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

Returns: "1111111"
20

40

{166,474,377,361,75,312,173,305,349,606,283,402,137,770,250,579,112,365,752,456,342,54,272,236,125,290,357,697,693,780,386,3,577,706,518,755,190,138,777,739,68,65,11,113,264,540,531,647,262,480,333,543,756,700,701,550,728,210,34,568,237,232,672,58,477,160,150,696,15,298,181,467,573,161,87,583,131,35,220,717,654,91,293,339,722,348,380,157,229,764,774,497,608,38,761,650,762,314,282,449,685,613,12,726,758,487,313,103,597,624,516,214,206,448,36,637,734,85,465,143,207,437,393,769,335,19,278,727,464,63,423,89,99,154,427,373,111,428,304,638,221,56,322,668,730,751,7,558,324,311,179,528,501,73,517,594,519,168,731,66,407,21,129,560,188,450,222,588,281,799,271,590,454,434,159,678,350,360,92,754,67,23,316,763,513,569,746,749,371,265,403,144,354,436,414,86,119,733,433,711,378,195,462,440,101,788,412,542,458,479,391,451,96,548,134,399,366,484,800,768,213,155,297,425,234,574,798,18,409,97,541,584,580,26,786,633,43,355,535,495,486,792,13,345,794,83,259,681,446,662,444,493,673,228,334,599,549,743,57,212,72,616,651,389,656,127,698,346,390,795,279,499,30,205,32,367,607,102,269,329,615,338,708,748,356,723,776,591,77,201,605,614,295,702,539,482,724,707,225,438,288,163,167,231,42,247,455,258,699,718,270,657,609,665,796,547,735,194,256,565,130,209,772,252,321,632,610,286,779,285,452,784,126,649,405,534,292,443,687,395,688,529,556,778,601,466,658,148,553,303,720,317,267,545,447,224,275,242,203,104,622,49,382,694,648,410,202,421,383,738,266,424,561,695,592,257,636,117,757,315,537,248,387,41,301,10,766,692,184,347,640,634,299,381,40,100,178,625,566,457,598,459,420,171,133,646,369,661,71,364,120,326,261,660,17,47,39,642,392,388,760,470,323,797,430,618,223,767,406,53,524,559,37,725,418,6,78,533,741,246,525,25,787,400,146,175,604,775,705,174,530,135,182,771,677,4,52,235,595,773,149,132,186,496,691,243,344,142,532,791,442,370,116,567,492,441,587,187,211,589,471,196,93,498,164,141,123,759,526,2,110,276,670,645,227,176,16,659,226,368,172,122,363,552,156,461,263,158,563,306,249,476,750,139,376,331,289,611,165,401,593,353,747,74,582,644,153,494,170,217,417,302,169,682,274,277,684,296,675,600,191,81,729,596,562,690,571,253,575,620,652,177,439,679,502,55,197,674,686,469,50,683,82,287,118,114,507,62,359,372,491,245,712,20,626,108,79,94,554,643,404,475,260,483,508,504,95,379,351,145,84,737,623,327,416,783,715,189,485,653,310,432,109,585,255,500,509,294,147,218,319,512,61,419,671,630,740,208,284,676,481,506,631,330,578,318,472,140,445,22,69,31,33,341,413,490,627,680,570,666,14,192,332,362,336,325,664,744,736,309,713,320,70,28,710,5,9,328,152,64,576,689,555,603,514,704,478,343,602,44,280,621,669,230,254,59,151,268,709,703,244,628,185,105,781,782,564,511,719,520,408,216,581,51,8,667,522,426,790,115,121,183,714,46,745,411,468,732,136,80,375,753,503,106,431,523,629,435,193,48,241,384,527,422,45,180,337,29,98,557,544,358,538,617,27,394,546,721,489,200,107,742,128,635,429,238,515,240,398,239,24,551,572,124,789,374,397,536,510,198,586,307,639,655,251,204,273,453,793,90,415,1,162,521,76,488,641,463,505,385,619,88,291,300,716,60,308,219,396,233,340,199,785,460,663,765,612,473,215,352}

Returns: "10000000000000000000000000000000000000000100000000000000000000000000000000001000001000000000000000000100000000000000000000010001000000000000000000000000000000000000100000010001000000000000000000010000000001000000010000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000010001000000000000000000100000000000000100001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000010000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000"
38

36

{1123,788,482,853,288,768,99,705,279,792,1363,103,930,154,1367,306,64,1160,151,991,87,538,386,472,602,1010,605,6,693,571,1092,1310,1016,434,1250,869,168,1289,197,1158,146,1043,1299,73,490,1011,1294,1312,649,202,89,778,1107,414,357,636,666,172,563,63,876,1266,402,451,1054,524,1175,1185,492,14,565,717,862,1356,61,1140,1023,1024,1326,715,691,972,424,1119,1118,610,1102,710,893,234,1034,241,503,50,253,1206,265,1247,1053,890,733,1177,39,999,354,483,1059,809,1127,1161,1253,222,633,447,713,191,1271,956,181,297,280,32,124,902,910,1341,450,13,349,1290,1137,367,110,102,980,577,820,794,653,1086,1151,411,1166,92,464,139,161,423,171,233,1126,625,486,245,951,685,495,1078,823,1075,480,535,441,108,47,550,1033,650,814,398,1129,218,675,475,1098,269,289,1097,1269,95,748,1145,389,268,329,238,80,210,527,726,131,204,281,803,1322,568,638,155,1022,275,736,235,242,857,775,1335,716,745,596,44,283,924,454,183,1238,487,212,1344,67,435,256,622,417,290,166,164,515,1124,1272,918,1073,1182,105,822,1257,24,1276,331,182,920,57,892,1015,396,1295,264,1041,655,1014,208,431,880,906,616,330,345,1256,670,390,203,950,26,564,637,1007,562,783,958,76,336,370,770,593,68,1148,200,965,1297,497,807,5,998,943,747,1076,931,1245,1136,1027,199,664,634,428,1337,784,1280,617,327,338,70,1223,1052,844,1,134,333,1120,754,962,291,824,365,1209,1355,314,694,1203,1179,1296,932,836,1156,315,1308,643,507,607,526,1105,1144,266,1353,1211,875,220,270,259,371,519,615,322,574,898,196,356,368,1103,465,1213,1163,530,1285,1057,1077,230,1184,994,1008,236,851,701,935,1187,1188,499,508,225,302,827,1116,1225,1292,900,94,1343,841,640,187,1350,750,762,361,22,819,944,247,1009,542,152,1003,760,672,40,645,250,479,240,536,1035,217,855,765,9,896,504,388,843,894,123,216,1146,832,81,1293,484,953,528,757,867,362,816,621,429,785,601,901,323,899,864,262,707,376,1026,594,1315,1055,271,342,842,690,551,78,420,466,741,1173,966,858,459,72,1265,46,560,897,209,1248,1325,981,961,543,312,344,1267,782,1243,2,1134,971,758,478,470,1300,1242,399,812,628,725,255,654,308,394,86,982,17,912,739,427,62,907,348,319,955,373,117,779,185,1110,1317,1045,703,206,598,974,540,442,539,874,20,1316,1153,1090,1254,1170,830,546,631,661,1324,709,569,793,1221,624,1114,813,684,1150,525,756,1342,570,977,658,1088,671,1359,384,939,309,1305,1215,410,1252,1204,990,590,125,1109,1046,439,261,911,915,440,111,719,882,74,75,1018,619,408,1214,143,1002,641,263,986,23,19,1093,1117,175,1157,1282,231,660,375,821,141,1207,1263,1275,1319,908,1217,1358,657,286,251,952,834,332,407,12,1281,589,533,1201,1051,404,706,115,1068,679,189,307,438,1195,381,1249,789,885,1006,385,38,27,1264,755,378,45,545,267,364,887,751,400,1287,1058,56,353,148,1208,544,1284,771,1232,1004,712,29,1013,1224,689,1205,1082,740,334,1198,678,1112,296,392,1074,11,93,409,1070,462,494,554,1274,921,978,43,973,437,132,1354,493,1081,790,681,1048,135,1036,422,142,1063,1251,1278,358,1191,1095,1084,795,201,916,1037,96,947,1115,320,1302,1021,393,1122,316,595,1230,1336,1111,116,1162,260,1069,922,614,7,997,133,835,341,600,214,557,1176,114,937,752,1130,3,697,299,1164,426,1218,1147,591,696,445,1049,35,1346,448,627,145,436,335,509,521,718,303,714,870,198,469,1261,579,1244,90,1171,787,28,1239,919,983,10,300,1062,1286,1128,1028,273,647,1019,343,749,120,840,1042,665,606,561,1334,34,860,457,205,128,798,510,254,959,865,811,514,485,687,452,1066,453,969,1044,592,576,522,304,826,810,1079,176,584,372,599,769,163,929,954,1030,516,585,531,1273,1131,425,178,996,153,767,1360,618,84,1050,1099,1141,927,992,397,632,838,360,1032,31,1100,1183,500,721,1125,548,340,1303,243,926,137,433,630,938,799,872,804,663,325,620,239,401,1229,727,884,219,1210,4,403,305,1169,680,227,603,30,763,582,1291,351,817,158,1236,1135,229,101,1321,688,891,734,646,534,1202,967,88,868,1313,1340,580,609,1142,1259,346,160,683,1199,730,144,237,695,321,883,556,122,1056,1345,728,326,933,1031,988,405,613,391,849,246,461,169,52,416,993,83,301,781,294,173,1216,881,460,107,293,1152,984,359,1178,1139,987,1071,677,859,1339,444,949,147,58,313,928,1288,347,127,157,895,488,995,159,1067,946,69,850,797,702,1168,377,502,415,699,549,909,59,578,581,761,1104,845,1260,467,413,558,215,674,130,1364,118,129,272,1219,1283,1085,149,604,854,979,1186,831,934,856,871,837,1039,1005,418,1020,541,985,477,587,512,905,711,518,925,1165,742,8,629,65,936,1194,66,976,786,866,55,673,355,1277,1061,623,1304,555,1149,1332,662,1197,374,1330,51,1366,317,611,248,1159,328,1226,759,753,729,791,458,474,119,195,597,1309,1029,1307,940,54,639,1328,766,1121,1072,412,1190,162,517,806,455,1038,1087,1323,310,1096,656,796,1220,1091,1025,496,732,667,1094,626,776,904,1338,635,244,1106,79,21,36,839,764,805,1108,700,1314,651,476,903,1132,1227,1138,41,1349,1167,1270,825,1234,970,380,1189,1241,179,463,292,186,722,941,224,1174,136,964,989,652,207,194,193,223,692,1368,1172,532,489,1180,156,285,572,25,1047,863,642,1255,847,126,505,1306,258,1320,112,1240,1231,737,188,295,1237,1040,85,213,395,723,772,746,221,190,828,1246,446,1235,523,1080,180,846,382,1348,387,818,379,1101,1351,140,808,852,121,743,1000,456,274,113,511,914,833,18,1017,252,889,1192,406,513,278,1357,449,363,648,848,15,583,738,1301,1258,282,773,226,877,529,174,211,1222,1001,724,468,1347,1262,184,383,506,257,91,48,167,801,676,1228,1083,659,37,520,192,249,1064,100,800,1279,1012,945,686,923,744,150,339,232,861,1089,1329,432,559,284,878,287,612,731,165,886,720,802,138,942,963,735,829,1333,352,586,888,566,1060,170,567,419,553,481,879,948,98,276,698,324,501,471,1318,318,473,82,71,669,1133,575,53,644,668,1361,774,1298,708,1362,1331,421,491,1365,60,552,917,42,49,975,588,704,1233,1352,780,573,1065,960,1200,1212,1155,498,106,298,1311,97,968,682,443,366,873,537,1196,311,337,608,913,350,277,1327,77,104,369,228,547,109,1154,16,430,1268,1181,1143,177,815,1193,1113,777,957,33}

Returns: "100000000000000000000000000000000000100000000001000000000000000000000000011000000000000000000000000000000000000100000000100000000000000000010000100000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000100000010001000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000001000000000010000000000000000000000000010000000000000000000000000000000000000001000000000000000000010000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000"
29

45

{550,663,409,998,1057,684,756,1049,148,1283,442,202,882,814,248,1134,531,955,744,1082,206,394,781,332,1208,702,382,141,1185,761,406,1209,515,13,898,19,559,147,1232,605,484,1003,253,1090,575,903,718,285,1065,1092,535,876,194,631,113,892,267,762,1015,526,1278,387,495,885,525,287,36,783,1075,545,1093,328,1260,689,909,1228,289,1021,1226,1026,105,1218,667,1302,199,93,170,1177,1056,591,1213,668,235,1088,905,231,236,805,917,1115,794,461,159,528,1024,1063,1161,861,1007,210,288,6,164,432,964,58,497,68,521,311,112,362,1155,602,1070,656,63,462,187,27,1296,1133,88,340,853,341,989,1289,766,868,513,567,62,492,635,925,560,1146,29,77,534,222,830,1052,557,371,203,1282,578,1130,1068,33,22,532,470,767,353,638,499,449,571,690,118,541,151,543,872,1158,844,441,840,566,357,463,784,485,266,379,1239,483,193,866,893,694,896,293,84,130,1050,244,1254,556,924,1246,997,1106,51,89,1280,755,1127,922,1147,895,627,1286,579,86,1245,553,81,1136,687,400,53,1144,1132,1219,617,693,457,383,695,789,825,129,269,299,1252,962,140,212,385,626,346,614,613,26,192,421,451,391,603,747,1172,982,1154,837,864,1044,664,831,1269,1256,1066,238,417,396,92,845,16,564,1076,880,908,460,715,894,242,356,116,764,43,1086,511,621,958,1187,9,944,477,1277,549,308,1230,965,324,1109,926,994,731,131,225,516,640,1064,1118,865,609,1091,404,1216,984,1164,381,906,1143,544,352,445,769,413,279,465,869,773,1099,41,425,1251,347,319,588,949,466,398,1159,707,670,482,475,218,336,1083,946,1025,1175,765,839,733,66,430,842,124,277,816,176,314,309,414,1089,778,44,995,1258,1170,721,940,772,364,980,976,34,849,427,740,887,632,587,370,569,1006,915,1036,67,143,83,138,109,1189,651,196,397,14,523,408,137,448,970,276,883,110,290,73,1193,1227,1072,502,935,103,1268,117,686,39,728,476,1266,355,161,1124,135,456,321,920,546,601,183,1108,577,540,785,563,1274,777,704,650,114,1020,494,1212,904,1229,1126,812,1022,399,96,447,757,157,928,480,552,489,1037,437,951,142,443,1298,180,121,1018,120,393,655,301,913,134,636,818,1253,597,464,969,863,28,91,1027,1005,897,971,250,836,469,1100,1107,1119,35,230,304,1275,671,916,1195,1031,388,74,770,282,600,1199,1034,1117,507,150,1281,215,179,452,939,1151,478,659,366,415,871,54,537,392,56,424,146,1058,197,1053,1128,1222,1206,217,1116,373,1087,1248,700,1160,886,59,691,173,11,175,1030,1295,99,706,280,1077,237,881,582,891,405,734,229,779,759,1290,1004,365,797,608,85,224,815,799,629,901,412,1184,738,979,719,1098,1267,322,12,454,752,911,1094,297,1264,900,1141,996,241,821,1140,1247,819,519,698,637,24,661,652,641,312,389,1223,1060,568,713,934,5,910,988,3,419,95,633,665,788,1080,1261,268,104,599,1123,683,1103,486,943,953,281,991,200,813,790,807,1097,1240,1168,154,178,177,169,257,678,503,675,342,21,23,1105,1243,832,674,1171,207,479,570,302,467,754,859,351,326,680,64,581,265,760,937,205,172,598,520,1084,666,1001,329,260,47,681,128,828,246,1166,551,251,234,440,407,1095,283,1174,209,1000,1114,1019,259,518,76,243,745,942,963,875,18,642,960,1125,714,191,270,604,165,10,1203,55,1069,527,833,619,927,542,522,990,72,1163,436,1041,657,561,174,1186,433,1217,786,1284,748,843,576,1242,986,1039,1194,803,249,548,967,800,634,509,20,1112,1178,834,354,987,155,79,796,255,1055,25,628,338,847,429,850,115,1122,256,947,422,938,182,1045,645,4,1197,726,1013,780,296,956,1180,278,727,410,1032,699,977,60,294,889,262,375,106,856,1085,936,1241,1012,136,647,488,286,1207,65,644,978,45,677,1148,1210,1156,247,1043,439,254,100,1169,729,1273,98,918,1016,1235,763,491,40,1,144,846,57,1265,1201,252,1074,957,510,263,61,504,817,1176,907,214,274,1301,490,331,529,245,823,402,586,1192,879,554,774,1263,968,1150,487,658,298,166,343,782,459,458,720,190,48,857,1111,38,1276,339,791,1285,1054,1200,506,496,736,1040,874,877,50,186,855,1110,295,101,625,78,500,1131,931,168,804,611,517,854,594,1029,826,228,153,395,313,1272,662,1028,793,711,32,697,624,325,1009,195,983,573,583,1198,835,616,1014,133,428,1179,1259,672,824,275,1165,307,374,1288,735,360,948,999,618,300,471,264,802,717,1204,468,472,1304,102,82,1104,746,596,685,649,771,758,1262,1113,378,185,1287,607,361,1138,1046,330,189,368,914,775,416,595,829,572,240,390,708,211,1181,7,359,1096,30,822,171,1303,973,158,1305,723,1244,1215,1062,1023,792,558,1079,648,923,333,271,730,401,512,630,696,508,660,97,961,679,536,1234,701,303,1271,929,712,954,862,653,80,380,739,919,646,884,742,420,318,233,1279,90,1142,350,725,533,1017,1081,1162,732,123,530,188,376,590,292,160,848,481,438,722,1010,8,316,363,612,1120,403,423,974,337,593,1137,327,426,152,776,606,1101,798,1233,1157,959,1294,1257,827,15,1293,2,87,305,334,335,806,899,1102,386,870,921,1300,555,639,1153,801,873,724,1255,1202,574,750,1214,851,232,811,505,226,538,676,71,710,768,49,737,46,932,673,890,284,945,126,111,912,291,1145,1038,221,1270,306,1183,239,125,1033,930,820,384,1042,1061,310,966,435,888,741,273,860,692,42,950,751,1047,377,1073,1299,227,1225,1196,795,643,348,107,858,184,981,703,623,902,539,1238,444,474,654,139,94,580,547,841,127,688,1167,562,220,1205,1221,1224,749,743,431,1231,37,941,585,372,705,867,453,208,418,156,952,1071,524,1188,145,1292,933,1220,501,473,1291,167,809,493,1129,108,787,344,993,985,1135,446,204,1250,1297,1067,201,411,709,122,317,565,69,716,1173,838,1048,1002,450,1249,584,1139,261,213,369,358,367,1008,17,181,345,149,1191,753,514,52,75,162,1236,315,808,1011,1190,1152,119,216,258,198,622,620,615,132,323,1149,972,163,589,1051,669,682,434,992,852,1211,592,1182,455,1121,878,349,975,498,219,1078,223,1237,610,320,31,810,1035,272,1059,70}

Returns: "100000000000000000000000000000000000000100000010000000000000000100000000000000000000000000001000000000001000000010000000000000000000000000100000000000000000000000000010000000000000000010001000000000000000000000000000000000000000001000110000000000000000000000000000000000000000100000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000100000000000000100000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000100000010000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000"
50

50

{756,2355,2251,1166,1126,127,1444,1687,2446,1764,458,1832,770,63,1536,1850,619,880,1098,882,109,719,1382,1289,1217,2267,1770,229,1063,1312,1016,2059,1209,267,996,1550,1626,2358,251,384,298,1454,1327,937,1331,1340,2317,2257,630,780,244,283,1489,2225,2210,924,2346,2075,1328,1650,1722,2066,183,337,528,704,160,2138,2296,902,681,877,2386,1178,538,1123,971,2310,1857,953,662,763,36,515,1372,2139,1812,399,71,1199,597,2469,2278,1844,2239,1804,2487,1397,1125,2408,2226,582,2321,520,2204,1281,2051,2123,1910,1059,611,2412,2146,1549,1140,948,1533,684,782,1067,510,1149,1256,856,603,1026,1152,2434,746,2473,1935,1009,1784,2218,753,2451,574,286,2035,449,669,110,1646,1005,2149,485,1111,539,1940,1865,1983,789,2073,104,1146,1642,1380,1675,1036,648,199,702,634,1736,1334,2433,1624,365,3,1939,743,2275,2381,2465,801,1128,1811,2482,2460,800,357,496,956,92,2141,1356,2172,234,21,80,1116,2126,1829,2343,1282,421,289,846,1917,1683,1501,51,1950,727,87,151,2392,1182,721,360,1458,913,275,2299,478,2069,974,2222,2000,329,1732,2221,1976,1021,1802,1709,853,797,1951,1127,592,134,287,682,210,1965,694,1530,568,1259,332,295,29,1742,1905,863,1500,94,703,377,1527,1903,2056,1112,1866,731,1242,946,1846,1231,11,1407,62,1516,2423,629,1352,1136,2027,1860,20,1990,1700,1526,1840,1105,73,1637,1724,1337,1034,173,491,361,997,38,422,1239,1255,2384,773,2331,74,1537,921,331,245,2375,1388,19,1261,506,2023,1790,841,1576,1638,1999,1711,2164,1238,1817,1288,93,1897,2477,994,427,411,300,1371,1842,2049,2452,1004,1061,455,714,1038,344,979,1378,481,2207,2313,1314,2006,1628,1260,16,1148,1089,316,1915,904,1432,2280,522,2088,665,1395,2302,1693,2187,2329,1484,2464,1134,1100,343,836,1222,2450,1922,58,747,1106,2441,1332,625,1319,958,55,1647,123,972,912,751,2071,1080,1421,781,471,1814,917,813,1697,169,2133,769,700,6,389,591,1476,2290,1931,873,1135,2333,324,129,150,2159,297,32,1189,443,2413,264,664,172,1684,237,1774,441,266,2396,425,236,152,639,2400,2405,102,82,1065,847,26,1960,440,2037,2360,1070,447,1305,1052,1902,1920,1419,1933,1994,2476,221,551,583,334,130,1120,2295,984,1656,1174,2447,2041,1689,1569,823,1103,39,33,2398,1032,2219,477,1452,1651,2419,884,872,1718,342,678,1118,2100,1867,1740,933,2444,299,2387,1198,1011,1066,1346,1798,470,1893,2472,1916,359,2093,1734,1483,2121,1,1787,1907,628,146,472,1453,521,410,178,309,1826,964,2499,307,1485,1604,2053,748,778,2428,2213,330,2376,465,542,715,1058,1881,1953,495,644,1563,685,943,1433,2414,1398,686,2272,784,842,1543,1633,1707,2432,774,2042,325,106,1539,2461,708,815,2205,149,832,1839,1751,2401,1074,2430,1262,1985,762,1387,1456,2176,963,811,1568,1069,1752,1046,1192,209,1151,1611,314,115,586,338,1610,2174,120,492,1465,1982,867,2085,203,792,1759,97,914,2453,1818,18,712,2103,1513,1998,909,2420,141,1655,1213,2388,766,2199,1094,819,698,1772,364,1714,352,464,2116,2393,959,585,1486,76,1596,2425,140,1800,1353,1107,1900,723,1723,2181,2342,2350,1864,2140,207,1264,2483,673,2160,903,218,1668,1692,1808,742,1743,2030,1205,290,1307,2161,23,1158,1268,1773,2032,1841,2062,729,2263,1214,1609,257,2184,666,2013,1096,2209,1191,1944,966,1597,1963,1619,1220,250,1731,1250,2144,2378,885,2087,1226,2391,1575,2379,1869,1183,2281,1573,315,999,734,1434,170,376,655,2459,1015,802,1833,284,737,274,2137,1815,50,426,1188,2271,960,1746,1389,9,1534,415,1698,859,413,1025,1325,2429,402,197,1660,1694,1311,1470,398,340,1653,543,677,407,2148,1091,2001,1090,86,674,1739,1206,2019,2260,1621,2157,505,2345,547,1443,318,2004,296,189,768,534,843,529,369,1691,1461,2235,346,1293,231,1938,1003,575,809,1450,162,1435,892,866,1437,417,1037,381,1542,1688,1482,79,2330,569,623,1154,2060,744,1769,1138,1326,233,1247,1064,2279,549,1794,2262,578,796,916,1438,1233,1821,1956,754,1977,679,1726,1172,687,1890,1620,1374,1847,2443,99,1427,1394,745,696,968,1859,77,154,2351,1886,871,1559,550,1824,1156,1408,907,869,2455,1686,829,1632,1831,1671,1517,2410,1426,860,532,653,739,1613,584,453,1023,949,1582,2338,403,1060,350,641,1496,1553,1153,1658,612,817,1973,277,1813,2365,614,52,2382,1318,385,171,1848,1849,740,1159,1008,354,2341,192,483,1871,1600,1391,1928,191,24,293,1129,280,396,918,621,1706,730,1601,2354,273,1763,2471,2230,2385,767,1643,2495,1914,351,2486,2362,711,942,317,473,626,1514,1467,1532,466,608,1251,2415,910,1945,2485,2468,1227,2024,1708,1546,1221,148,1428,117,1225,2344,2467,1266,1823,594,1086,861,824,1518,2314,119,124,2217,2234,805,1440,2319,144,1073,1856,371,2484,158,1013,1799,518,238,1913,693,1728,135,95,1558,43,1240,1193,2135,211,1565,1805,1248,1755,2359,2190,392,1147,911,1114,1793,2367,1955,476,2155,2303,1851,2488,548,2108,2111,1791,1478,2315,2368,2332,489,1445,2084,291,651,671,1816,1075,1365,2426,1519,243,1981,1323,1473,2363,1957,414,1875,1493,1104,2152,2325,1022,1762,1173,2291,554,1124,1884,1730,587,1396,1676,355,1767,1029,561,1210,1401,1101,1267,2498,1592,1170,502,827,1488,607,220,895,1336,305,716,219,1606,1635,606,1165,1878,1803,1292,1612,175,667,525,2276,1202,977,2014,870,874,631,1249,147,1161,1885,2020,888,2142,798,31,1745,1766,213,2095,1845,1627,1735,973,771,1258,2492,1309,961,969,604,446,1899,1511,1882,2029,1929,1196,1448,1685,2192,155,901,2224,513,339,17,42,312,432,1232,2197,516,2212,2424,423,1663,1229,1995,394,1679,1988,507,2258,1974,499,1586,787,1853,2353,1230,2185,1115,1351,1474,1218,517,1858,850,2198,720,1468,353,168,725,661,1943,1616,1252,1622,976,2308,132,646,1946,2372,1672,1992,2348,276,726,1578,791,2228,1608,779,1411,1050,2173,2096,2255,998,96,368,1366,709,10,1617,8,590,1649,1302,2406,1072,852,1551,2268,1481,1237,2370,345,1661,1836,1092,2340,1480,1294,697,610,2366,816,214,1028,333,101,1472,2009,2448,2147,589,186,434,460,208,1273,232,1961,2045,1702,683,967,2086,1257,1413,845,1560,246,862,2166,1825,865,1760,616,1712,1269,57,1883,1487,1962,2456,1054,469,1781,1669,2055,1208,1495,5,1701,2312,1404,2034,752,1603,2082,849,400,2339,1207,1056,1420,1806,2352,552,1033,2153,793,2178,373,1361,1580,1045,1121,163,235,1741,159,1908,380,1393,2046,1778,196,2129,143,775,179,2397,2163,777,531,65,2479,820,498,416,91,1529,386,1263,1986,1934,1245,857,347,2264,1984,2180,1789,2496,2229,412,2202,1645,437,206,409,1177,544,1176,85,982,252,1554,2373,828,735,636,1081,1753,2282,1077,2300,1122,1084,439,1713,2177,2395,484,2208,2036,530,1828,230,741,2070,1040,1779,1547,1895,459,1921,2246,2017,905,962,1898,479,1142,2316,2188,2104,1179,54,1574,1095,1492,45,1641,1906,2337,851,1589,2269,618,717,1662,1296,2061,2040,2078,1614,986,1039,718,503,2118,540,1587,1350,1300,1964,593,1525,1279,1786,1757,2077,1640,2242,67,253,557,2143,2022,818,215,1827,2113,1357,2309,2232,1071,854,176,190,2179,319,624,879,2132,1491,2440,1027,1358,1682,1695,605,2091,390,1446,1522,2007,2011,881,306,2083,732,1588,72,181,1754,577,1223,1320,1678,1280,2119,2293,1113,864,923,1909,2114,1564,660,500,672,255,1338,180,1636,1761,1490,761,408,2327,776,445,858,1665,1666,508,391,637,834,2052,223,2254,1459,1497,107,579,1087,1932,940,2220,1030,1508,1930,1594,30,1783,269,240,75,164,1409,2080,2377,1276,2016,46,1341,1001,1667,1335,511,642,1512,265,1345,1369,1317,1203,2122,2407,807,118,282,1344,2018,1197,1541,1941,785,553,536,1659,100,2394,1996,951,64,1254,1705,2361,2089,156,724,772,2458,821,1993,1795,2289,1506,559,1277,1810,1571,1442,790,2105,558,263,2171,1819,1339,1715,56,1068,268,1097,2131,1466,1494,2306,2238,379,2249,2491,545,1583,1235,1224,1253,990,2439,375,1838,348,883,356,182,970,1591,1447,758,1703,1792,1460,248,228,366,1048,788,387,2130,1385,239,1644,2334,89,1194,488,2216,1704,2427,2243,2402,1504,2416,1780,2277,279,397,1747,2231,908,868,1952,1360,1978,1477,1085,1035,620,1405,405,310,537,1498,188,1430,1457,261,1889,1979,1137,1431,2369,936,463,810,749,2154,1618,1630,201,112,632,217,2064,1228,2048,675,430,1959,1699,1424,2478,1297,2266,925,1051,2470,2203,1581,1212,2328,519,2028,1291,613,114,1552,1062,1211,1877,1417,271,1286,1057,341,1862,2072,1912,689,814,1399,174,2211,474,599,2201,258,955,838,281,1924,1083,335,1410,194,560,981,142,1673,1109,688,954,647,1044,1390,278,799,1538,1141,1631,1316,2466,1775,1570,1852,2287,670,622,227,1102,1911,1278,991,388,224,2422,1475,25,198,1347,2292,2403,523,167,456,2247,1595,2120,2200,2107,2241,2421,1402,898,442,1892,116,2102,1674,490,2380,1602,1436,2462,1876,401,2250,1164,2307,897,598,840,1776,461,736,328,875,1855,436,2227,2274,1901,706,1130,1524,1639,1954,1200,2265,222,457,1425,1416,1400,1777,326,1566,1664,205,929,2259,1510,1937,1204,2115,47,2099,321,1093,928,2288,187,1043,1555,1919,786,830,49,249,1455,2106,1561,1392,509,2065,1540,225,2112,2194,2475,581,81,2404,2301,137,28,570,44,480,1972,1544,1750,1298,812,985,663,1947,2318,1744,595,2058,2273,514,692,1246,2156,1623,2336,145,1163,482,84,1971,2399,41,60,1236,1462,438,1190,1520,701,657,1006,1201,2297,1942,941,1880,2438,2158,216,855,2490,944,2151,764,1926,2261,808,2323,1287,383,2125,1835,262,1809,475,1590,1321,993,1873,2294,468,1370,1359,1888,750,1132,393,1031,2311,1557,2320,915,66,1785,2500,349,1690,1002,826,2191,1343,1788,1403,887,406,1801,139,153,2136,358,1507,1872,1241,2431,256,2101,2012,1439,713,1749,1807,2481,1155,1918,311,899,1528,1265,2457,15,896,247,1830,635,1308,600,1160,1349,2480,920,1970,601,1362,848,450,1053,576,831,184,88,2256,303,1324,185,1017,2170,562,2304,806,1315,1329,1168,1272,1904,1144,1502,1868,2025,980,200,922,1295,975,2090,1548,695,1234,136,835,431,1333,1936,876,1523,1584,1187,1185,2364,1285,1771,2186,2145,615,1758,2124,633,1737,1367,1756,1967,1275,313,1975,1284,133,659,1412,195,2165,1729,2284,327,2390,2094,53,890,640,1894,2356,987,1078,2002,429,462,2127,292,564,2435,1579,2215,1313,722,372,1991,83,1585,2044,1079,2409,1710,938,524,254,1625,105,166,336,404,650,2168,992,2010,2324,546,270,22,1677,444,1968,2270,602,48,588,1133,926,374,1727,1373,656,932,1375,2347,1834,448,643,1076,989,1150,983,226,533,1499,1535,1167,1383,2134,14,1720,1861,1007,2286,301,794,825,2244,1987,1980,535,1854,2097,1725,2039,1958,2015,69,1925,934,1364,1837,1244,382,2245,452,1949,1381,1274,580,668,1014,2214,1082,2248,497,1989,1110,699,795,2038,839,1822,654,733,61,1131,487,2417,565,2283,596,108,2063,2074,1384,294,2383,122,1797,1615,939,1000,2067,40,1948,1796,906,395,1719,1521,649,2285,1422,1652,617,2031,1303,1966,420,302,323,2326,13,1997,1012,1629,1927,2240,927,893,1171,370,1469,1562,1414,609,738,1503,428,1283,2335,1301,1556,2110,1299,935,705,35,1041,202,2068,1055,2371,1471,2349,2195,978,2454,2008,161,1567,362,952,1681,1696,1969,1024,304,1348,1531,2233,363,572,563,2005,757,1820,1180,2196,1896,2109,2449,1019,945,950,627,2182,894,1108,556,690,131,1863,1441,260,1721,1139,1463,891,322,900,1368,2092,638,658,988,822,1843,1195,1598,242,320,837,1018,193,486,1670,783,2079,1733,308,2437,2411,2081,1654,1449,467,645,451,1304,2128,2206,1290,2117,138,435,1479,2169,1634,844,707,98,7,1386,1042,2043,1879,2322,2223,512,378,2183,157,2162,1377,165,2445,1464,1181,2252,2497,755,121,2150,433,2237,493,1451,728,2298,1418,59,1243,571,1429,803,1355,1049,2003,1874,103,1219,241,1765,2389,2021,1175,272,4,1887,1923,501,418,710,177,111,1515,1572,804,1657,555,1545,504,527,2442,1184,1891,126,78,2463,259,2253,1363,1599,1306,1216,1605,566,1310,1215,2026,2193,1186,1143,1782,1376,2474,494,1330,765,1680,889,125,1169,37,2436,419,1738,1593,2305,367,2098,424,930,759,68,957,2374,2167,34,2076,2,1145,1768,919,212,1379,70,652,760,1415,1088,454,2050,1870,676,128,27,1342,2357,1162,1717,1509,1117,680,1406,2175,878,1423,1020,965,2189,2033,526,1716,2494,1354,995,2047,1607,1047,12,573,2054,691,1271,285,1648,2057,1322,1270,541,2418,931,1748,90,1010,1577,2493,2489,1099,947,113,1157,2236,1119,886,288,204,1505,567,833}

Returns: "1000000000000000000000000000000010000010000000000001000000000000000000000000000000000000000000000000001000000010000000000000010000000000000000000000000000100000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000101000000000000000000000000000000000100000000000000000010001000000000000000000000000000100000101000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000"
50

50

{668,2279,1689,782,486,1350,2382,1180,1298,1563,292,1391,2310,2110,1306,2135,1267,1597,1699,597,91,2043,1449,633,1017,407,377,261,229,436,2072,1717,2081,446,96,531,789,1169,364,1340,678,1362,1149,509,2476,1296,1930,2068,1104,995,2480,1157,1993,1142,2207,1806,2298,994,908,2248,36,543,2432,1890,725,1546,2375,1951,1148,1154,1863,1487,1872,322,2100,325,2262,2327,1853,960,227,1860,1494,980,1832,2106,1021,1478,1672,1939,1877,1586,2458,2196,651,283,2490,1070,1041,964,1321,562,2208,1590,2454,663,952,1615,1048,132,2263,2393,1004,1245,904,1934,1090,1656,98,856,1419,2076,2290,346,2075,1146,1719,458,549,209,181,1711,1627,277,1704,164,1071,2420,2469,2141,1738,2230,985,785,1249,2331,561,2116,1541,930,1684,1351,673,2280,113,415,329,2428,1736,1715,1147,882,2020,117,123,481,385,1472,885,842,2308,1785,2355,70,1467,1907,637,1356,1502,715,40,177,1459,1286,1179,841,2303,1044,901,757,166,2271,20,559,264,792,834,1252,193,686,81,1880,1748,2016,816,2102,1791,1622,158,714,178,619,2051,2394,2187,587,130,2185,2293,989,1468,1588,286,141,2104,1859,326,1988,306,197,1076,106,2128,491,1599,1820,1433,502,1117,1097,1979,104,1888,1049,1261,2172,234,37,2061,2046,2414,953,2304,1365,1343,1053,2156,1686,2134,1572,1878,498,848,975,1484,1780,1093,1054,1532,1843,1850,518,1400,1897,511,2349,807,1047,674,1203,475,1811,1750,1935,657,1947,321,596,1893,2177,692,1529,2408,2383,2052,2071,1755,2162,993,2202,1695,716,1324,1974,571,646,2495,1496,1810,1366,1735,493,413,260,892,2312,911,2392,1275,2259,8,1895,1698,2079,293,2225,690,1936,2077,320,939,1399,1857,1228,1031,828,2446,1377,1583,330,2282,290,1985,1756,532,2087,2149,1430,1305,1533,274,2451,2410,1614,528,1874,2373,1571,1452,2380,192,541,49,430,402,16,305,1876,2249,837,1072,1929,215,163,2058,641,689,1132,78,741,29,262,1552,1986,2131,870,1773,928,1128,2062,1257,2376,2261,643,1299,1761,247,2411,1380,2008,1240,1602,2496,1557,675,1789,1554,48,307,1189,1384,1852,1303,1287,1766,539,1225,266,1052,1559,2182,1517,1749,2178,1823,523,1624,1668,662,672,429,598,630,345,1949,1109,88,2357,843,696,1511,353,1976,2318,65,1799,573,677,765,1661,1115,2150,398,2188,1770,2011,265,1304,127,426,1680,846,1617,2222,1216,1388,1737,1027,1794,1569,66,1422,13,17,135,1238,2452,1201,212,1817,1284,907,2314,119,1145,332,1241,2093,1230,2057,1610,1130,2329,967,1904,1513,352,863,462,1501,125,1482,1642,1259,2338,2142,1961,799,1575,110,1458,444,2239,660,2189,153,530,2125,2236,489,877,1910,221,1674,344,2240,794,1512,1701,76,1364,1378,2153,866,2039,1652,555,350,1713,2359,392,494,1682,670,1085,1925,282,1687,2219,1420,1631,2430,304,2036,1462,2473,1744,1057,1808,1946,1703,206,67,1528,479,151,723,2316,2328,1855,2453,442,2424,787,2481,1881,1016,1338,584,884,1489,1068,2009,572,71,309,461,1198,544,970,553,636,1099,1577,1634,1218,294,390,650,79,2277,1543,2096,667,576,357,2345,851,463,2194,2288,2465,1505,1015,1337,1653,1534,41,1491,2054,1442,361,699,1392,791,1638,1660,438,94,2368,622,2209,786,515,625,855,886,1408,2300,1629,205,416,938,784,1080,1042,1898,959,1812,2018,899,1648,1174,744,2101,140,64,45,719,987,1813,188,1355,1150,256,1171,280,804,2407,2466,881,906,1143,2297,2291,165,685,1495,2364,2403,724,2157,634,2233,1113,1906,2409,1600,311,1675,538,1889,2041,1276,935,905,800,1389,1944,582,2204,778,577,614,1217,1394,2343,2342,1037,1796,1630,1968,1003,1435,2356,640,1643,134,712,1002,2197,1318,2348,1331,2159,101,1251,2244,2107,1945,2232,1762,593,1758,869,537,42,1127,1908,1413,1742,453,432,1026,225,1465,2200,2170,1358,1283,1891,105,1537,756,1439,1996,1490,1481,2379,499,2126,1725,811,1357,2129,739,830,1436,1746,632,900,367,6,108,1418,2112,1708,86,2069,296,604,565,1301,308,1997,155,788,529,116,626,2265,2340,962,836,1953,1764,1187,404,2460,1144,726,1885,455,1199,1333,1326,961,1718,2220,2413,827,483,592,2478,1416,1707,1246,1585,242,1165,1753,2418,661,1763,852,1168,1297,208,2099,1798,556,861,447,1448,1454,1236,1,150,2285,1411,1262,199,923,484,218,591,1933,700,414,718,1558,948,1226,1759,711,1223,1069,136,777,676,245,606,1973,62,1506,912,1177,142,1446,1277,2334,1538,740,1914,372,688,490,2037,693,627,1797,5,1185,1360,547,2435,813,437,1783,2274,222,1214,302,2063,257,1118,1854,991,1406,1300,1778,2108,1100,878,810,207,776,569,819,918,2336,2423,1339,284,1784,379,2163,2031,480,470,1567,933,144,2346,477,1882,298,2322,705,2132,1396,1359,1329,728,2294,238,682,575,540,1119,2006,1055,1801,1077,39,440,1825,1912,2161,1544,2121,898,133,1061,1793,2324,1584,1001,664,1417,137,202,1014,1263,1619,1865,496,100,2085,1266,214,433,695,1984,758,570,1344,1959,2374,1920,2254,1207,2028,2059,420,2073,2040,495,2005,1901,2402,887,1440,383,254,2166,1972,299,1166,1618,558,1664,1981,771,1566,2029,631,1644,2456,291,466,1504,588,752,797,702,1621,1088,300,1960,1123,425,339,1098,1212,519,526,772,914,1728,638,1923,574,1476,147,708,860,956,1987,427,533,768,1412,671,1609,73,1220,31,853,858,854,2498,1827,893,1135,2082,567,1864,1000,1173,1407,2122,259,2493,33,176,1045,313,610,2398,2146,2257,613,1663,759,378,764,1410,2370,2287,1390,879,1255,2448,825,623,1589,230,129,743,359,170,2353,1683,1587,617,471,1523,1829,503,454,1457,1779,652,500,2238,1039,2335,287,2377,1508,730,1603,1219,2347,1111,1548,1268,1202,2014,703,1623,2283,2120,1232,1313,2171,82,1676,2281,979,1580,2074,1247,102,358,1510,224,1866,2136,1453,1503,2384,243,2109,1883,143,2206,1970,872,38,275,2192,1726,1971,2333,931,371,59,984,1253,1924,1616,465,1294,1140,2494,1963,639,1772,2276,1315,21,360,161,85,244,955,1234,1847,93,1122,1916,1182,2003,1367,2147,940,867,1582,2258,1828,1141,1966,1632,1835,1607,943,340,273,355,335,944,624,1592,2311,1519,1839,2307,2228,44,1066,57,1264,384,2152,568,30,1733,534,1948,460,58,654,1040,1525,1474,1106,997,365,1215,28,380,2173,833,1870,1620,2224,1551,1777,1479,2145,796,2237,89,417,2362,916,1596,441,1270,1007,1721,1730,775,649,2468,594,2211,1289,732,1549,310,114,1826,1213,397,832,1999,1751,1200,375,1894,1473,400,937,1836,121,1290,2351,2055,1170,51,1161,2341,1700,891,767,1353,411,2181,410,1328,821,761,2445,203,1188,895,2217,2457,2165,704,600,115,1990,338,839,2065,439,9,815,1969,1743,1101,849,1767,2123,2066,2426,608,1612,1650,382,1542,1527,2251,152,2301,213,1657,665,1688,512,629,1608,790,709,2012,798,1556,1010,1488,2295,395,1160,1316,2332,2115,1024,1120,1593,1641,1729,1302,1233,1460,2366,2264,1095,2400,1427,1229,452,2363,2289,408,1842,391,1335,2487,2479,910,1438,1516,1231,175,1074,2268,2048,1722,2391,2427,1771,658,2227,1336,1667,449,554,1992,389,986,1868,992,579,1110,1884,1239,2092,1769,297,1373,1426,1079,386,1720,972,2422,1393,957,2088,687,974,1727,1498,862,2434,374,978,1578,925,2023,760,419,2158,396,1062,1281,2344,2477,2111,506,1035,323,2464,1818,969,1530,755,1605,1521,2470,1102,2484,60,488,1432,2213,2164,1038,456,2117,1581,2489,233,366,35,1006,2320,1192,1691,156,2438,1195,2137,1745,271,2032,237,182,2190,1673,312,2358,2215,1952,409,2475,581,146,69,399,1381,1136,1060,845,2155,1235,1059,1816,850,351,868,2140,2250,738,926,2124,1193,1869,1285,2275,2449,84,1086,2321,1937,1710,1385,946,1092,434,1752,1423,1909,1606,2169,2103,2326,1879,656,1317,720,450,122,1466,103,1075,1320,1956,1831,2387,1651,1564,1005,1243,1570,1421,947,1628,838,1030,1957,520,469,679,501,1312,92,200,621,111,508,1404,527,801,1838,1604,191,1922,1886,1050,1927,612,1309,889,2415,647,376,2500,2013,578,1921,1840,1103,171,826,2176,2203,1931,43,1414,1190,1757,1967,1565,1441,1507,485,1155,2284,731,1348,517,924,2385,894,1221,2223,1082,2214,1033,1899,255,779,2245,2095,1402,1955,1319,342,805,1043,185,406,666,2302,32,1601,187,2439,1640,1464,3,80,2004,922,1500,2352,1112,174,459,258,729,1734,476,1782,1846,169,162,557,1861,1129,381,2421,2090,2047,1731,403,347,1834,2056,2323,22,2083,2175,1662,949,934,734,999,769,620,334,1739,655,1524,1327,609,190,2007,2286,2272,1775,157,1065,2242,2482,373,318,232,659,942,90,2234,1424,2226,2378,1469,253,2350,580,563,566,1790,1809,1723,2247,317,1732,2067,1671,2174,859,2151,920,2412,2278,263,2388,516,990,589,1398,809,109,1550,945,2492,1181,2269,74,77,316,457,168,1837,1206,1025,219,1242,1409,267,279,1560,388,2024,1815,2319,628,774,201,1774,246,524,1962,1205,1830,1280,1386,2467,2406,2401,1124,2399,2154,1760,497,996,2306,721,189,513,2386,473,1902,1274,423,742,1705,1740,1841,159,1995,179,735,1670,814,2064,348,1250,1887,1900,467,977,87,1256,184,362,751,694,1211,1646,829,1314,763,2160,1078,586,2195,1654,1444,2309,2491,2241,1258,492,2299,1009,1873,276,1428,542,2053,1087,220,295,128,1368,2127,773,83,535,525,2429,988,1363,1540,1431,1126,684,780,11,965,1709,482,1998,2133,2419,1183,1754,823,795,1383,1509,428,2138,564,710,240,1374,871,1977,424,2167,451,1437,2198,864,1905,1536,107,1131,2441,888,2113,1807,2455,248,599,603,1447,2431,2089,1547,1851,642,131,1107,1278,126,2450,1792,874,2404,1741,510,2027,2180,2447,536,1918,585,2425,1562,1919,644,653,1134,1244,124,753,1020,971,1787,61,2078,1561,2243,228,921,1197,2179,336,2042,1371,34,616,1983,1429,1942,2000,2045,1354,2119,1224,1940,23,1295,412,590,216,1152,210,1954,2148,504,1943,1347,2183,418,50,1291,1765,766,697,99,405,2436,1470,148,2474,72,958,63,272,802,1167,1786,2325,1345,514,1372,1706,2416,1696,1272,268,1096,1108,435,1369,1310,1598,1137,464,669,478,982,822,1425,2022,368,1379,973,1685,1332,1091,2371,1911,356,2019,1697,645,1520,1248,2488,231,2305,2049,154,180,1227,2084,301,750,1455,1849,915,746,1029,875,14,522,601,1471,1776,1964,840,1084,1573,120,241,2130,24,2210,252,1271,139,2367,236,844,2253,2497,745,691,1456,173,913,770,2001,1493,1833,1461,204,2417,897,2463,401,1308,1325,448,1322,1497,793,551,2030,521,138,468,1805,1702,1655,327,683,2097,1282,1346,1051,1965,1178,2050,2397,2033,1781,1073,727,707,1028,2002,26,680,2433,1162,831,1159,2021,1848,808,1349,648,2405,1415,2086,2218,2461,1903,1926,10,1862,733,701,2080,2144,546,25,1036,2118,251,1626,2235,820,1222,1716,1915,2060,431,1568,2114,341,2094,1443,1958,1579,1526,1649,2105,1273,876,1269,583,1475,1714,2315,198,1450,983,211,239,1858,1237,289,2462,635,857,706,196,932,1292,474,2443,315,1693,1591,1403,781,754,53,917,1531,75,472,1802,1803,1665,1913,1522,2184,2260,803,865,337,963,1677,1844,1553,1669,1172,331,550,18,54,611,2360,2044,1208,370,1395,2229,1892,12,288,1824,1081,1679,354,1515,1288,1647,548,1724,941,1576,1012,194,1138,2035,1293,2485,618,1928,1194,1089,812,445,2098,2483,1164,1121,1535,722,487,1659,1463,1819,1633,19,1917,1445,1991,56,387,1871,2292,783,1941,1950,2193,602,1370,1639,2212,2444,1330,1046,1184,2369,936,902,2372,2390,507,1788,145,1980,1105,890,1499,1800,2273,2070,1254,1938,1209,1678,1011,250,349,1822,47,95,1480,15,1019,2365,968,285,1153,2256,1555,333,1083,1982,1514,2337,1637,835,1204,2339,1056,1485,2296,1486,1574,2499,2139,1896,1032,235,681,1175,1125,2252,2015,369,68,927,1545,1451,1658,998,1747,2186,1058,966,1341,1681,749,713,1139,55,172,2396,1492,1768,1156,2317,2442,2205,1611,1265,2017,2440,1594,1334,27,394,2216,2038,2231,2330,1666,1821,2191,954,2025,1018,314,1352,605,160,1613,896,2255,1063,762,149,2221,1034,1158,1163,1023,2313,929,278,1064,1067,1210,2199,595,1690,1176,1094,883,737,1845,1401,217,1133,1477,223,324,2361,981,615,951,2389,2381,2270,824,1311,1279,249,97,363,1387,1186,1382,717,1361,1375,1539,1856,112,343,2267,4,1625,1116,270,226,1636,2168,281,747,1483,1191,1307,1978,1008,1151,1712,2010,2143,443,607,1692,328,545,46,748,1022,1994,2,1518,2026,1635,1595,1932,7,422,818,2246,736,421,1694,950,976,1114,2395,806,167,873,319,1875,552,183,1645,880,1260,1342,909,2201,919,817,1989,1013,186,560,1804,1867,118,195,2486,2437,1975,2091,1795,2034,698,2471,1397,1376,52,2459,2354,903,1196,1323,1814,269,1405,303,505,1434,2266,847,393,2472}

Returns: "1000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000100001000000000000010010000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000010001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100100000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000100000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000"
50

50

{963,2150,842,1672,1298,769,479,1697,1305,2157,444,2412,2409,1081,985,1614,1988,2437,747,1135,925,513,1709,826,1923,1833,5,246,8,882,940,950,1985,62,1437,2416,185,1316,1398,55,1114,1161,969,1981,1230,2282,17,722,205,1463,97,633,53,2155,1484,2148,2030,546,1059,1351,1964,94,1517,825,441,25,2131,1892,1234,281,2071,1585,1138,805,1472,2027,1443,2262,165,1166,2226,1649,755,1492,2233,1315,2004,1419,1765,893,436,971,735,1309,1221,368,616,908,671,837,2174,1266,2229,655,2415,2211,530,1819,1680,105,2280,149,1049,1783,1340,1016,1066,1684,333,2025,1500,216,1866,327,1168,924,1146,1588,362,1835,732,905,593,1300,781,1786,102,1314,1082,1020,1621,1102,2306,834,285,560,646,1526,45,2491,2038,2302,1736,1453,452,1467,2443,376,2454,642,464,583,541,1499,1878,617,1773,467,59,48,1347,2001,171,81,1650,1692,1727,986,1001,276,2337,2481,1223,639,1916,636,1940,2082,1360,1900,33,1125,1975,1879,478,460,2459,505,626,746,964,817,1140,2364,1181,944,1541,561,1009,1632,665,2490,1779,954,2285,1760,2240,83,1338,865,1602,1356,571,2385,2002,2382,209,1002,792,2054,2292,1578,1008,691,2351,259,2219,1094,1257,1210,1660,549,760,397,2213,1442,1256,787,2489,71,386,1205,264,649,319,52,247,2328,1663,1609,2486,61,2471,9,517,1190,1455,2324,1851,1624,113,1139,2291,258,348,1413,214,1991,778,711,1370,145,249,550,2286,2317,2192,1241,307,189,1707,753,611,364,1284,898,1004,813,1519,238,65,767,509,1172,34,756,849,1206,1430,2161,2298,267,1045,1297,1098,159,2058,654,605,1826,282,511,193,2191,2400,1079,1592,1740,1063,2353,1757,215,2456,82,537,555,219,1696,2478,354,2357,1480,1058,1225,151,1810,2138,153,2274,2314,1751,492,658,1332,988,1361,135,1289,2322,432,871,2259,1683,272,427,668,724,650,101,269,2388,26,1302,349,2248,1762,952,1231,253,1382,1445,564,1794,1158,1227,188,2044,2283,1622,2398,1535,1121,828,1319,2293,2350,1290,1147,56,1429,2310,369,2359,1052,1421,1862,1813,2180,1817,1215,324,868,78,1682,1,1554,2343,661,1473,1931,421,2300,672,2261,2095,202,230,558,2238,458,2214,1577,346,1459,526,2205,1469,41,1963,507,2173,2307,1199,1863,1077,140,2272,2239,1213,383,2249,678,1396,1438,1601,896,1035,965,712,1629,2265,1896,1299,323,1821,2021,2154,979,1856,1115,405,328,1694,843,1435,412,751,1636,385,1872,527,2126,131,1179,877,1185,143,1073,1061,2212,1288,2144,1700,1901,89,223,820,485,280,2043,2171,2123,1971,854,1372,220,450,2347,2070,422,890,365,303,692,274,2107,1639,1030,279,1087,221,152,1386,404,835,2196,179,818,459,2430,468,2295,1798,741,529,1907,1716,1313,1615,1287,1561,1000,860,2168,889,2034,1552,766,770,1617,155,895,796,2460,2032,1160,474,1993,208,2455,707,2106,1270,622,1742,1183,2036,1943,1076,424,266,1065,244,2311,332,1086,838,242,2255,2363,1245,855,2413,341,2428,1717,500,563,1184,733,1915,1162,657,2061,310,79,1780,974,615,170,144,2039,270,162,2127,1203,256,1339,2080,807,590,2466,2276,393,2051,2139,110,1690,1695,178,1152,2281,1017,1285,1566,1393,976,1345,107,437,19,2195,1678,603,255,1766,697,2384,487,918,991,901,1441,808,1731,1885,1579,1748,44,2178,872,1739,1363,519,1818,1750,1093,1409,1460,1648,2075,1745,2134,1352,345,1675,2407,316,2345,23,1979,1420,942,477,975,1385,1022,2348,2035,1778,968,1980,765,1468,166,296,263,2232,2447,1043,111,789,290,2467,1122,1568,2316,851,2284,1734,846,742,1232,1906,1960,2015,1131,91,2483,1790,2112,2096,866,72,2358,434,1344,1659,1946,1153,845,978,36,489,531,1247,1589,1428,1254,762,939,366,1770,1880,713,370,998,1583,734,1844,559,428,2225,2202,389,1994,471,687,1491,1581,2109,2060,795,1970,1133,7,2266,2393,1486,1522,2340,1349,1383,1681,1148,2042,2252,1809,917,2461,2446,888,2017,794,510,2463,37,1978,377,1422,1995,38,738,955,780,1625,239,2108,106,2091,457,1861,1333,1155,1642,2132,85,2331,120,31,2048,2207,1281,1151,595,2142,2402,2065,1434,1767,949,729,2087,295,1116,1274,28,1948,980,782,382,739,2500,2475,544,1814,1335,1749,2203,554,568,435,631,578,12,2429,182,1752,379,1510,1864,302,1570,1926,125,273,1089,2237,335,892,1676,1259,1497,2442,653,1836,1623,1746,2355,566,1543,283,1432,1358,1905,2216,2289,2128,1848,1955,2444,1304,1917,586,2420,1959,2037,623,1414,879,1812,213,1475,2072,839,883,630,1712,1527,552,1587,934,93,322,1910,1718,2439,398,2376,1808,32,2277,1019,433,2099,1062,1111,1540,1311,869,1374,2288,2130,1669,2177,903,1728,1956,931,2181,1611,2013,1239,648,612,525,1594,2045,1136,69,771,1202,1871,1735,1204,831,873,2078,1012,2349,21,662,1950,241,2495,1546,811,439,390,1729,1982,200,1178,2452,1416,962,686,1667,1708,1635,961,1781,1706,773,1320,1914,39,679,2309,1068,115,542,1097,1839,257,260,1246,967,2379,1846,1447,275,1686,743,2104,1431,1145,331,411,470,1597,840,1938,1565,669,2003,476,2176,1673,318,982,494,1822,124,856,1252,1120,1092,1104,1003,2000,514,351,420,1537,80,2147,736,87,1177,1595,2199,2371,1967,2143,252,1610,1509,1927,1296,721,1405,2335,161,1824,1189,1007,1268,2263,2102,1584,784,1126,516,1524,1440,601,116,2457,381,1355,2421,380,172,1502,2369,850,299,694,2197,1278,801,772,2380,1127,2092,415,1521,958,423,1143,589,1188,1392,534,1828,1957,2313,1216,466,1533,1845,2040,1534,74,378,1628,947,1528,1377,129,226,133,2368,1538,2009,1055,799,150,75,2484,2140,236,1466,1920,1815,1479,859,1563,2,2496,680,403,638,42,47,2031,1523,718,1807,1726,803,1357,2251,1670,195,2115,814,2423,1269,1214,1488,1458,752,1574,1598,18,1976,1965,914,2449,168,1417,504,1797,682,2479,1264,1643,2320,1228,1802,399,1293,2046,2341,894,763,342,469,602,210,2210,1424,1067,2410,1899,910,1550,250,1477,598,1005,410,237,2110,95,2183,287,197,2019,1562,1560,1439,1674,1974,1462,455,945,1693,2133,1705,1295,987,1275,1983,1796,2221,1454,810,2208,1212,1195,989,710,1618,1226,2103,1387,43,2069,473,217,1418,357,1010,604,2052,1427,174,355,1859,300,1187,356,966,1504,2033,400,2020,1867,175,562,448,88,606,775,700,2399,2362,1208,1661,2264,1508,212,1481,1944,395,118,1110,2394,2242,609,1571,553,334,1084,1699,1930,147,196,2305,731,483,1513,1323,2235,484,959,1090,1758,2404,1265,915,2482,2401,1317,1803,754,2162,1342,1763,277,407,1777,229,77,339,786,1754,2367,906,916,2493,1934,706,2008,983,1248,933,2175,2185,1912,1047,2028,1249,169,2440,1849,1569,92,2244,867,181,1657,1542,946,1219,1619,265,312,904,1764,1620,625,2253,261,2290,1054,2217,1962,1647,2066,2049,815,2074,1743,515,187,1286,675,2346,1057,948,1989,1106,391,461,1485,2220,2005,1039,63,1525,1737,1549,651,1072,1312,698,138,231,2149,2296,1713,1310,1038,1476,245,717,2445,2022,1334,50,1951,618,1987,723,1307,305,2105,1457,1014,619,1450,1233,1640,1953,1869,146,2026,1378,1130,24,708,1630,2308,136,943,1638,456,1096,1279,1159,812,1362,1389,1173,2470,498,1080,911,1645,1354,1996,548,853,325,1031,1874,621,359,1108,2129,719,2378,800,1897,336,1154,1174,1840,1327,1194,652,1688,533,190,2057,1425,2377,1799,884,2338,1536,1046,921,790,1033,1954,1868,1514,1489,1593,2059,1487,802,1156,876,2304,957,1041,745,2319,1507,1028,1755,1972,1904,361,1685,1175,1795,16,1889,824,1250,536,937,788,1070,2299,1860,2435,119,1023,1157,1328,1384,597,1426,881,108,2278,173,2209,1388,2018,203,1711,2188,1331,1564,995,757,1403,2084,49,1404,2303,1042,480,1260,1237,1820,2179,816,1011,608,2222,2118,844,1656,632,2427,1679,1774,2485,1605,1788,1490,2136,1653,580,402,570,1922,1448,1911,109,1573,2083,2390,2204,240,768,508,1236,1591,2068,897,870,1789,521,451,1496,2165,2184,419,2499,2234,2016,1308,1064,321,999,1301,1303,556,993,1037,2227,1171,394,1176,1402,637,1992,64,1937,576,1343,1633,1582,1804,518,1811,610,970,443,1725,1631,142,709,1369,1103,2477,2321,326,1464,791,1710,2172,431,1258,2414,1843,347,1515,1379,1282,206,759,2301,40,2256,1373,1056,1451,262,121,1548,1882,2098,1724,1099,1346,1857,2392,1557,1461,76,1182,532,1380,929,2094,627,848,1668,268,628,293,11,1891,2354,2327,2141,445,1941,401,997,2194,2113,1165,1209,2462,613,2450,35,308,545,154,486,374,1217,167,1730,690,2167,878,2062,1834,1085,2146,664,1768,2419,992,932,1235,2268,1452,1769,2063,748,2373,1150,587,2230,1192,440,677,728,499,703,2190,1348,192,1169,1792,343,139,1761,793,2160,1895,1271,1078,1050,1723,645,1224,375,60,2275,128,447,503,1529,1321,2182,1390,1898,1263,683,1772,1074,446,2101,836,2120,1939,659,2041,823,2417,233,199,1186,2422,704,2424,1100,198,912,1456,847,2472,1997,540,298,126,2381,822,1375,46,1243,1163,874,1036,596,785,2476,930,2079,2432,585,14,2241,1470,384,1423,496,684,344,2029,1411,278,1329,495,2356,2468,2389,1520,1984,2330,2386,337,1662,667,774,1902,2325,1698,1596,429,1201,86,490,863,1051,699,776,716,1277,2122,1272,1292,1873,1449,1641,1576,1837,481,2093,572,2260,2339,1436,1366,1088,1242,670,2433,506,830,761,579,634,2114,1936,535,472,191,852,1113,666,90,2465,1875,57,900,1306,2441,1505,493,819,2492,880,1027,902,1733,122,2498,315,2375,2064,130,306,737,1933,1119,797,726,524,777,297,1654,1558,641,885,251,523,1986,1947,2089,1865,68,1391,1854,1530,600,1109,1782,2391,644,1262,1691,2014,2163,222,100,1805,114,2395,2125,2215,2336,1741,418,1909,141,2342,2218,1196,1371,1124,2474,1606,1990,1132,1998,2372,2332,134,2453,1545,927,635,2436,228,1884,1651,705,148,416,512,1553,1847,313,1222,1193,2438,2258,1144,1935,311,1949,51,1365,304,1732,123,1722,573,1400,329,224,973,2006,1149,352,956,841,1381,1511,1918,501,1968,538,438,994,2011,465,2145,1474,2297,1702,886,624,1408,2273,1501,725,2100,1359,1191,284,1547,1919,783,1336,1465,643,1280,137,1118,809,2055,1800,2201,2448,1655,588,1251,2023,1829,720,1142,833,463,584,2271,1512,2067,1838,160,702,248,2231,2334,1894,614,367,1211,2097,29,551,1842,941,2047,1744,1137,1021,2200,2223,2050,157,2117,2352,1720,1200,804,211,103,1924,1855,520,425,4,565,1024,6,1877,271,2464,254,186,1616,1326,1117,1267,656,1276,1775,2487,2193,1494,681,522,1018,2086,2007,2088,2024,2326,360,1107,1785,1787,2333,1367,1825,2405,2361,1858,286,2250,1961,2186,156,475,1006,744,1240,861,1283,1112,899,2153,1029,594,2406,2137,292,289,972,132,1607,660,701,84,647,2119,919,96,1890,575,1921,806,977,2257,2164,1886,1410,1482,1207,1603,2169,758,204,1401,66,2458,1015,640,714,1101,1518,1664,1604,960,207,909,689,1942,1415,1229,539,2451,2243,2076,1793,1044,2111,528,73,1646,693,1412,1516,2431,2081,392,1830,3,2329,2360,996,1637,1567,1999,2056,1532,243,1759,1701,1040,1704,2279,194,99,2287,13,2434,27,1330,1350,2189,1531,1671,1493,1539,363,1376,953,387,1687,1887,409,2315,1034,864,1053,1164,1406,607,413,112,1198,1273,981,1801,629,1658,1134,821,1220,1071,1141,1337,922,58,1771,1806,235,688,2073,291,317,1776,1928,1368,1026,696,875,935,338,567,685,829,396,1170,1341,2124,543,358,294,491,2473,2403,907,715,2396,288,990,1977,1888,1876,15,2494,858,557,330,309,1832,1600,1433,2318,1612,620,1913,676,577,764,1586,857,1908,127,1238,234,920,1738,2426,926,1364,1689,674,2294,10,1721,1261,2187,227,1397,1613,1495,1180,414,2411,1032,2312,1719,1556,184,1572,1551,1715,2012,442,1626,1973,2387,1218,1666,117,502,1634,1929,2158,750,1852,938,1841,592,449,1506,158,1714,1324,320,2247,1784,1627,1353,1544,98,673,1903,1599,1893,2135,1652,1294,1399,70,1128,373,2418,1753,1850,453,2269,1123,798,2488,779,984,408,1575,430,1503,887,2198,2397,2077,1167,2159,2469,176,1791,1580,2116,730,20,426,1444,454,581,2366,462,183,574,2053,2151,225,2152,1747,2206,2170,218,1060,1048,1952,340,2270,1608,1925,749,740,1394,2374,1958,1881,1478,1665,2344,2383,180,1083,1407,936,2121,951,177,1644,372,1129,2224,482,22,30,164,2090,1816,1091,371,488,1831,2480,2370,1966,417,1932,2166,832,599,891,2365,1853,1446,923,1945,1095,2254,388,350,1025,569,2323,2425,1291,547,928,163,406,1483,1253,1969,201,1318,582,1883,1322,1555,695,727,591,2267,1823,1069,497,1559,104,1870,2246,1013,1756,1590,2408,67,1395,1255,1325,1244,2245,2228,1075,54,301,2085,1677,913,827,663,314,2497,1498,1703,862,2010,2236,1827,1471,232,1105,353,2156,1197}

Returns: "1000000000000000000000000000000000000000100000000001000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000100000000000000000000000010000000000000010000000000000000000000000000000000000000000000011000000000000010000000000000000000000000000000000000001000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000001000000000100000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010"
37

40

{201,1140,273,892,1331,1415,231,710,559,1066,1389,379,839,803,1240,1232,90,530,1098,823,1147,1106,623,730,909,972,856,575,590,1452,1309,521,836,1269,1286,786,268,1198,1212,324,1136,1243,968,370,114,293,1301,65,213,336,517,1444,491,1373,548,736,473,187,223,1186,75,1366,94,746,348,331,67,307,1045,433,791,269,274,1252,1202,263,605,1282,243,695,271,739,1049,387,702,134,460,948,544,188,1206,297,844,1433,253,529,1201,810,510,1317,22,199,990,1139,1115,587,409,1192,1157,850,947,725,903,206,1277,693,373,131,183,742,920,578,1010,410,1280,1460,606,641,647,827,476,1267,931,1210,783,37,161,704,656,1182,132,1398,212,1302,260,389,258,711,523,887,39,1473,121,200,1400,1381,679,1021,946,167,347,847,1134,1471,586,705,660,994,770,628,834,126,1274,1295,1258,106,1146,1446,683,113,1242,1319,1168,1403,107,169,1170,420,451,390,1349,815,778,715,1001,1019,1420,462,1285,724,192,800,1214,181,1063,758,356,3,1038,1431,265,914,645,1131,719,1124,398,735,612,568,414,208,1076,561,1082,509,238,1275,527,484,164,1284,1203,129,874,1313,1149,1011,1453,130,55,1059,650,1060,1292,1256,1356,1047,1271,402,804,535,1160,654,442,942,688,755,615,1336,51,1064,814,807,1183,700,619,1430,351,1421,1230,482,14,246,339,637,752,156,108,976,408,1017,371,951,1171,579,977,1218,1125,1068,1385,1442,845,748,135,166,890,1449,1071,447,536,326,318,1235,1347,381,1006,1466,33,1194,394,1352,1355,600,577,308,141,354,220,69,854,1409,255,481,1143,893,466,872,859,494,1204,364,785,1382,154,626,1437,949,1172,1380,635,1377,483,282,388,955,401,407,618,1052,1374,817,969,935,1427,283,104,915,532,902,582,488,247,1288,117,58,927,912,1342,57,1178,776,1307,1177,1223,906,672,344,1245,85,310,731,798,1153,1164,1057,593,1263,393,881,516,907,899,1034,852,24,1293,335,385,142,1316,749,478,1363,175,963,16,960,842,533,1434,1078,1330,100,1388,1014,1004,933,714,624,139,957,1248,1083,870,1270,861,531,270,940,392,73,360,1174,1020,1332,1173,1222,1418,734,1213,429,1094,399,25,934,60,235,35,424,1226,44,1130,883,19,1365,1459,1101,501,1092,1208,450,18,413,629,459,31,59,790,1028,512,84,634,155,1249,239,1362,841,595,13,1343,1445,537,611,68,406,607,1016,431,1419,733,708,686,780,1002,453,197,675,793,1007,1179,1358,1411,989,1241,849,1254,964,445,62,1099,305,1476,101,170,507,345,1325,232,140,782,82,591,513,550,1144,436,358,674,673,919,286,882,669,539,1387,728,640,218,756,1450,248,30,1205,209,895,122,1080,138,1338,137,1118,966,194,412,151,1148,1392,632,857,1188,205,1321,292,754,1353,1166,435,342,1407,291,195,446,528,764,52,1464,526,1051,422,1416,503,901,1287,722,910,452,653,295,221,774,386,992,1348,1440,50,784,617,965,1043,727,511,1458,1199,1468,1123,367,312,1169,259,395,77,1129,470,643,115,838,717,468,562,923,1472,105,522,363,772,819,1048,1089,1084,938,1142,668,1475,799,123,366,109,961,1469,1040,716,959,659,485,325,1067,936,1260,1128,110,423,1095,571,91,1474,1465,219,1027,1042,1384,92,1073,1276,368,670,352,257,184,376,913,1345,824,186,761,691,1391,597,720,72,2,1054,272,1029,463,1231,855,315,596,1155,480,464,1100,1306,1069,1456,865,651,216,36,655,1215,29,81,98,574,584,302,1132,112,971,1329,921,240,1119,1255,64,911,1145,1217,759,1438,925,1399,474,1070,461,694,1072,1401,1386,172,614,495,622,157,1300,974,46,1360,1081,434,878,313,929,1227,179,639,806,430,1339,604,337,1158,860,996,1354,296,1396,630,546,822,677,884,1113,1013,797,508,28,843,1018,1234,1408,833,813,941,12,294,638,1133,837,625,93,1041,601,1120,120,237,922,1478,818,275,1334,230,991,411,1454,144,1303,555,1428,692,678,569,404,288,127,32,145,981,1436,524,61,1108,1096,1039,997,320,543,1197,299,987,771,1462,455,737,709,1272,168,1008,932,1097,1324,279,45,1417,365,723,228,505,89,687,741,542,448,943,1397,1221,34,149,375,563,671,6,251,185,189,603,1447,159,1426,880,1233,762,1262,953,1111,99,383,621,1238,1121,930,633,162,1175,225,458,553,750,1024,1312,699,76,642,438,391,1371,1367,636,1085,620,916,1165,150,525,721,333,1470,983,147,472,1439,146,492,602,79,1322,1414,1077,1207,1298,86,1305,289,1237,21,1251,1333,80,338,191,504,664,103,1310,280,87,1351,489,1239,732,1189,769,267,1266,11,805,1406,227,314,252,924,1318,779,48,1244,788,236,1429,1304,203,1180,241,245,757,576,1357,926,298,4,763,558,417,396,610,190,520,657,1224,828,1344,753,285,281,713,1058,1137,173,738,350,588,566,740,988,1228,1200,96,572,1074,1195,128,873,666,5,868,165,829,652,1103,594,886,1279,1152,1291,444,454,1154,891,416,830,323,952,1044,1190,816,1122,353,975,1290,311,471,1350,1117,877,787,684,904,928,384,428,330,497,229,88,1461,627,1000,437,864,609,441,1126,125,217,1088,1311,1093,867,1030,1102,180,514,863,768,171,1009,616,667,765,985,346,266,1383,456,592,119,357,27,207,1281,276,1308,831,676,889,1135,1225,177,809,440,486,202,419,1265,888,427,204,1294,767,1062,1141,467,1328,306,1209,111,743,224,250,1193,998,1219,556,825,944,613,1424,1299,898,848,851,1065,1296,801,777,1370,317,1061,1335,648,8,1127,1327,334,1463,400,826,1443,210,999,1283,1359,747,1185,1114,322,726,372,54,377,152,254,545,958,102,176,1257,1423,1422,233,875,980,1050,1116,820,808,226,707,198,534,499,712,665,1412,1479,1273,124,978,136,211,361,1031,1289,567,319,1176,369,1036,439,341,681,1395,751,329,792,421,498,1297,589,426,696,1109,332,40,1337,1055,23,1326,215,1264,1012,277,811,982,301,585,49,551,158,905,1151,580,1320,697,973,256,222,493,234,599,1032,1477,631,682,15,703,781,1163,340,518,83,1220,1105,261,500,490,917,7,343,1035,214,1196,1056,41,581,1191,939,74,287,967,1138,309,47,853,821,1259,775,1026,1268,1184,1087,300,565,1402,812,663,896,540,832,53,646,1369,415,900,866,1022,380,327,242,290,1046,1229,766,425,362,477,885,1410,729,1091,744,1236,894,680,1368,304,496,796,519,644,1247,71,160,374,689,1211,690,984,10,278,1425,1156,1467,1394,876,552,701,1053,1441,1167,918,1086,773,869,174,38,249,1455,116,382,871,564,182,515,538,1361,262,1451,1364,70,163,794,20,397,1390,1181,378,1480,403,43,718,17,502,178,598,284,993,995,465,862,573,193,658,649,560,349,1405,554,487,1372,443,706,56,858,979,661,1314,802,1346,457,570,1253,1376,264,1278,1162,760,970,1375,954,1261,148,1435,1005,1187,1457,196,835,1448,1110,1150,745,432,78,418,328,26,1037,1,962,63,795,1025,986,1378,1015,1379,549,937,449,1393,1107,608,359,1404,1023,1432,1246,316,1413,303,405,95,475,789,118,1341,469,698,1216,66,557,541,1090,1323,479,1112,1033,153,956,1079,1075,1159,42,908,950,685,143,897,583,1003,1104,1315,846,945,506,1340,879,133,547,662,355,97,9,244,840,321,1250,1161}

Returns: "1000000000000000000000000100000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000010000000000100000000000000000000000100000000100000000010000000000000000000000000000000000000000010000000000100000000000000000000100000010000000000000000000000000000000000000000000100000000010000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000010010000000000000000000000000000000000000000100000000000000010000000010000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000010000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000"
7

44

{116,203,248,62,273,111,40,293,207,73,98,92,94,148,118,213,32,239,48,107,18,2,285,182,55,6,22,120,261,1,237,257,87,287,238,38,168,302,35,95,292,299,204,65,80,291,243,284,17,178,68,122,199,151,85,253,231,25,93,259,268,61,190,175,201,171,45,272,308,137,24,147,33,200,113,161,215,127,218,189,152,286,69,269,43,103,288,129,183,37,96,126,280,70,67,271,188,149,230,88,59,141,217,57,289,128,228,235,157,36,34,91,108,180,78,300,250,64,163,77,162,276,56,209,263,194,160,245,296,304,31,211,14,144,101,155,169,297,181,298,10,49,23,226,246,153,146,84,114,145,224,295,142,150,102,58,105,252,121,3,262,27,125,54,5,112,301,184,270,72,210,254,307,214,241,221,225,83,177,79,167,222,208,117,63,186,7,100,191,104,260,115,15,281,251,123,264,20,4,47,165,109,74,173,197,290,90,124,81,131,247,212,158,275,82,41,265,130,28,156,71,234,206,258,154,136,303,135,8,138,277,86,170,283,198,233,21,187,266,19,232,13,256,193,50,9,159,133,44,282,52,220,119,192,196,242,110,134,219,185,249,66,29,16,42,174,140,172,75,143,132,306,236,202,176,76,60,205,294,164,267,279,223,229,274,51,166,89,30,139,39,227,195,106,12,305,244,216,99,46,179,26,97,240,53,11,278,255}

Returns: "11000100000000000100010000000001001001010000001000000000000000100000000000000000101000000010000100000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000001000000001010000000000000000000000000000000000000000000000000000000000000000000010000000010"
38

3

{108,103,20,65,6,92,72,46,23,44,74,91,11,57,90,21,101,85,107,15,22,64,26,14,87,36,105,68,93,88,84,50,37,83,71,54,1,47,27,51,99,53,4,80,3,111,109,102,60,79,33,45,2,16,77,38,59,98,73,94,78,5,113,95,61,62,49,10,81,56,39,30,17,8,18,7,28,40,32,55,43,66,19,96,9,52,24,58,34,100,25,112,67,76,110,63,29,75,48,41,12,114,69,42,31,82,86,13,104,70,97,89,35,106}

Returns: "100100100001010000010010100000000001001001000000100010001100010000000000001100000100000000010000000000000000000010"
28

23

{241,448,61,139,252,152,586,481,364,299,610,523,43,521,493,297,508,306,264,94,351,606,516,64,173,360,614,88,118,426,140,553,300,66,562,520,451,162,49,271,535,626,461,321,416,561,175,490,177,121,172,526,40,527,150,423,215,456,57,322,467,603,180,510,249,244,5,567,332,484,552,356,123,577,182,174,446,409,384,308,513,642,529,79,355,266,224,582,340,462,640,522,187,459,65,428,3,92,546,188,390,25,113,97,304,412,55,148,254,572,472,90,236,10,171,143,471,11,207,454,545,296,573,286,425,50,401,613,378,460,628,506,151,443,483,269,342,251,311,223,337,275,73,634,63,281,262,159,387,47,258,539,359,99,267,495,186,292,399,257,505,632,102,155,536,430,593,525,334,394,413,502,403,7,345,465,551,285,599,400,110,325,59,265,119,591,487,496,62,583,212,196,363,273,31,432,199,623,18,578,374,507,95,85,136,331,184,449,336,156,289,260,485,365,310,81,312,357,263,480,176,436,27,295,132,509,504,114,127,557,431,221,338,235,305,514,468,501,410,344,376,324,243,36,564,339,253,141,218,22,128,550,442,393,56,315,109,60,238,112,605,474,6,627,568,597,91,415,9,313,455,372,163,380,608,624,540,499,96,500,547,193,126,427,145,317,434,183,303,44,70,302,29,261,629,68,585,287,352,531,616,248,115,134,191,283,377,555,327,45,291,131,122,402,386,375,69,391,617,511,293,447,548,19,190,160,541,201,464,587,86,205,556,103,368,197,367,482,307,350,643,138,478,388,381,414,398,194,595,231,619,433,48,230,373,457,220,323,570,458,314,153,439,309,35,537,528,341,130,111,328,392,558,76,544,259,418,533,366,466,637,644,395,330,117,154,255,479,411,165,245,41,219,604,83,343,534,198,422,397,101,488,232,635,234,46,270,622,181,237,333,16,575,161,326,560,316,445,530,256,233,361,407,74,58,581,517,589,470,602,631,135,168,641,396,93,571,618,491,417,225,124,105,576,362,272,543,169,615,185,638,284,28,78,549,609,435,492,80,142,301,38,227,358,584,178,1,4,588,15,594,21,621,639,72,419,164,320,620,2,203,559,596,440,450,54,120,211,213,369,579,53,67,598,298,476,574,226,319,611,192,229,463,98,348,592,268,329,601,274,278,335,206,349,170,580,107,202,89,290,405,503,14,512,39,347,24,277,242,288,636,240,23,542,209,353,280,279,87,538,498,607,524,144,52,32,404,590,204,494,129,222,37,354,228,12,382,217,383,116,166,565,518,210,371,408,51,108,569,600,633,489,370,519,8,106,612,421,84,147,453,247,385,195,125,389,208,71,276,246,625,437,406,216,515,444,379,429,473,167,563,239,137,77,33,438,146,554,497,13,441,424,318,75,469,566,26,486,133,475,282,20,189,100,158,214,157,532,346,179,34,200,477,250,294,82,452,104,30,420,149,17,630,42}

Returns: "11010000000000100000100001000000000000000000000000100000000000000000000000010000000000000000010000000000000000000000000010000000000000000000000000100000000000000010000000000000000000000001000000000000000000000000000000100000000000000000000100000000000000000000100000000000000000000000000001000000000000000000000000000010000000000000000000001000000000000000000000100000000000000000000000000000000000000000000010000000000000000000001000000000000000000010000000000000100000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000"
46

28

{188,650,84,953,766,1223,918,142,1008,1244,145,544,10,730,61,898,955,264,424,847,696,1200,287,150,1251,357,622,355,130,657,616,1089,208,1050,171,782,746,278,40,722,151,902,176,139,384,643,1038,914,834,350,1145,579,7,674,149,633,1138,948,393,75,1116,182,783,920,273,432,843,252,325,74,511,1036,712,1022,1170,922,439,559,25,385,183,837,358,345,806,1241,731,295,423,1188,389,106,1205,1055,1246,1066,654,234,56,1120,368,51,18,640,652,1040,1173,989,256,899,258,1005,835,605,474,978,1196,1057,532,570,462,797,924,1276,8,480,1017,1109,770,947,709,1288,993,315,906,1166,685,1249,185,706,259,1225,430,603,773,941,900,343,291,1189,763,738,114,1079,649,319,1245,76,298,1119,547,614,892,950,1231,1052,943,1115,829,641,1100,708,676,1074,1250,426,555,1034,207,1044,903,299,133,784,655,981,742,884,615,805,43,1097,486,1204,1067,1279,581,548,266,492,1180,132,1203,1187,1185,127,1061,542,923,47,504,534,1060,1134,864,401,440,196,573,689,105,963,1075,1287,374,1099,1184,153,450,832,491,13,764,1027,88,117,960,487,1248,354,593,456,853,617,411,1171,482,1209,192,1149,566,1016,390,282,809,1214,449,111,361,1043,700,489,785,528,466,642,1191,1033,729,332,395,572,338,490,1148,768,818,1239,260,505,344,621,493,718,285,186,1093,296,596,911,1131,564,290,1028,838,1153,626,822,366,369,433,1271,716,323,1072,891,860,1232,1194,520,728,651,1154,378,1020,73,1051,396,928,1243,619,205,429,53,1167,769,177,162,23,867,819,543,739,322,441,239,131,913,935,979,506,595,1165,1284,723,907,736,921,161,314,717,1186,632,858,437,927,34,863,1014,666,370,333,1277,1130,77,448,1037,508,1030,265,589,1039,199,598,813,994,802,870,715,878,873,45,974,1128,724,211,940,1088,658,107,17,917,634,68,583,1084,230,50,1104,518,844,869,476,956,15,889,1083,416,693,9,455,855,952,877,309,85,1062,1273,301,866,27,828,272,1078,961,1019,90,584,546,714,479,262,1183,719,549,910,667,95,119,669,1278,1215,215,438,659,212,414,1012,445,303,1080,698,1252,1193,1000,497,810,86,64,1233,457,229,231,67,72,297,967,136,664,1197,35,958,780,983,52,1176,1105,623,311,1003,820,529,1163,1002,644,200,494,856,1157,220,124,741,897,862,190,222,1172,394,108,638,673,420,982,227,814,930,686,951,312,66,1077,1032,600,852,1015,226,1212,885,1174,41,854,33,850,841,868,861,143,1227,92,613,594,356,98,1199,197,460,745,618,988,624,472,1150,720,398,560,388,362,1146,263,904,1226,431,331,407,670,402,795,1144,740,172,110,1041,201,415,418,1129,1259,364,326,515,582,373,576,28,254,747,790,925,1211,1035,1094,1261,1031,1219,987,824,134,413,557,89,1190,305,1001,1126,274,347,915,592,405,1158,458,1081,1263,882,99,975,281,1169,748,181,397,96,1217,1152,104,875,660,121,352,635,94,310,160,759,681,125,1125,607,1260,146,204,1262,112,789,141,203,985,1234,302,436,71,692,1042,313,49,69,919,1255,880,339,1161,732,128,289,292,591,939,363,761,881,3,826,561,1281,604,1240,304,1133,54,488,1237,554,478,473,475,707,647,999,236,599,410,140,225,267,109,1111,60,1274,845,329,336,762,502,509,495,447,507,701,1059,575,103,1181,1090,946,1106,661,1177,737,796,778,469,969,1257,219,365,288,159,464,1024,307,419,1011,1253,1098,498,771,465,178,351,1264,279,1238,672,609,123,318,779,1256,42,971,1151,404,187,48,156,422,367,1213,275,801,817,1242,164,210,645,1164,556,446,1218,803,1210,1118,995,1178,4,261,1021,392,775,12,1198,538,485,540,798,421,909,1160,1142,115,1286,1096,195,324,38,711,1047,328,501,376,147,893,317,79,1112,321,942,896,5,101,1029,245,793,1046,973,675,270,120,725,631,166,1224,630,991,268,901,777,945,1056,648,174,1009,524,563,83,539,223,682,284,606,399,726,93,417,1117,63,756,713,391,248,382,137,29,113,224,929,353,1135,179,710,1208,243,1229,735,1139,202,1127,825,221,691,965,158,936,1168,240,1236,1,1107,602,749,812,406,409,14,703,786,249,451,1054,949,1058,787,80,1272,157,241,170,639,1254,39,1023,757,213,1004,1092,888,1162,193,22,1175,830,997,823,1085,750,320,879,400,886,442,872,656,821,375,65,503,754,620,81,341,1132,751,1086,20,883,704,1048,1222,342,59,629,1095,1283,434,165,379,189,908,519,300,1110,1053,1076,957,998,500,671,1049,294,19,377,663,1230,184,1221,516,522,586,541,816,1195,1087,859,428,280,1063,461,175,611,752,16,788,116,876,585,966,678,348,781,1143,30,62,510,468,57,246,587,668,690,986,1265,894,454,481,553,565,163,1220,1071,1102,251,527,552,871,827,774,842,959,1082,980,610,792,688,100,371,680,679,733,1073,931,791,1108,677,551,970,198,684,334,337,562,800,646,1275,1206,807,887,1013,247,846,938,483,513,293,459,2,695,665,1006,269,1124,840,531,1122,721,727,627,340,905,237,1140,148,214,1258,169,1182,865,36,154,359,767,962,699,578,683,58,1179,1156,1268,1202,1192,601,933,233,637,1103,874,97,705,1282,228,628,6,238,944,697,839,590,625,662,380,250,412,180,78,1121,512,932,1235,1155,11,173,1091,37,327,244,968,308,523,1018,536,545,1266,32,1007,1136,408,514,255,702,937,1025,934,744,152,26,517,1228,1147,526,403,235,533,463,242,776,811,349,1010,427,794,1285,964,87,206,91,444,525,346,126,1141,1201,21,743,70,1270,283,568,217,567,167,452,612,580,772,755,857,276,954,387,653,316,1114,574,972,1123,386,804,471,1064,550,815,1069,1267,799,209,155,984,849,24,44,129,286,82,191,55,443,1101,535,253,477,271,558,537,257,1065,851,277,848,46,895,1113,1026,31,118,760,144,499,976,435,381,360,1159,912,608,890,467,992,753,1068,138,577,232,694,1045,1280,1247,135,765,122,1216,1070,1207,597,990,758,216,636,1269,306,530,996,335,453,484,588,831,926,916,833,425,194,569,521,571,977,372,687,496,836,168,1137,218,383,102,470,330,808,734}

Returns: "1000000000000000000000000000010000000000000000000000000000100000000000000000000000000001000000000000000000000000000001000000000000000000000000000010000000000000000000000000100000000000000000000000000000010000000000000000000000000000010000000000000000000000000010000000000000000000000000001000000000000001000000000000001000000000000000000000000000010000000000000000000000100000000000000000000000000000000001001000000000000000000000001000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000010000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000"
16

12

{105,69,90,114,89,133,102,32,11,6,134,123,51,17,116,15,31,94,144,122,158,24,8,135,75,124,152,40,48,63,157,1,101,163,142,77,185,174,42,117,13,169,66,153,25,54,84,132,33,148,68,162,21,126,50,18,12,129,164,183,168,191,167,125,45,187,79,64,35,180,112,53,154,137,172,37,91,176,10,70,67,60,128,47,186,141,19,184,9,2,143,96,104,150,29,58,156,80,49,57,151,171,65,27,93,82,109,34,88,178,145,98,3,23,118,139,155,41,179,71,43,99,107,181,130,36,146,52,61,149,73,170,159,56,55,14,140,62,92,83,39,106,4,147,192,188,108,121,131,115,38,95,44,161,78,182,87,7,22,177,100,175,120,86,103,190,166,76,85,46,72,173,5,16,113,20,136,110,119,189,165,138,30,97,74,111,81,28,160,59,26,127}

Returns: "100000000000010000000000000010000000000001000000001000000000000000100000000100000000000001000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000"
31

16

{452,59,335,307,189,259,42,291,364,486,436,336,50,337,164,6,394,303,230,116,271,44,195,67,493,440,218,313,155,398,165,456,46,469,332,4,179,492,123,198,15,192,51,488,45,169,65,310,21,252,227,418,378,184,93,81,219,245,8,108,120,370,217,156,450,299,317,106,331,393,261,302,78,9,358,284,286,254,293,326,383,264,416,86,23,126,323,311,314,82,119,380,157,77,464,97,285,150,411,204,354,276,60,162,135,142,262,481,125,489,74,61,5,451,171,315,139,494,128,483,348,329,177,392,203,193,369,363,232,30,41,40,438,495,359,25,420,73,356,152,265,257,338,90,453,136,121,151,278,410,79,48,127,375,300,460,43,223,85,424,421,319,144,2,273,26,403,442,478,430,290,175,39,379,312,318,404,200,202,422,63,55,454,384,381,280,133,458,391,89,241,159,465,346,69,154,330,382,372,215,283,385,435,294,365,111,75,186,214,377,87,428,158,272,477,395,474,298,357,210,297,401,448,182,296,275,37,328,333,340,316,282,216,251,248,443,459,242,27,480,91,190,20,72,183,124,344,255,147,18,462,149,249,212,345,457,472,64,433,355,417,263,320,181,99,96,279,180,148,388,17,366,49,352,426,84,105,100,167,268,397,253,68,36,419,229,176,362,185,187,455,170,461,134,70,19,260,334,238,22,239,463,444,222,130,38,446,76,166,445,482,168,244,143,409,347,31,16,104,407,266,237,12,101,341,178,52,225,339,327,400,122,88,305,109,194,117,386,289,374,201,7,274,473,367,160,129,390,434,112,235,412,306,475,107,209,83,484,211,423,376,35,353,33,441,350,191,66,479,132,174,250,429,490,233,228,413,226,487,292,485,432,361,24,349,224,439,58,196,258,131,342,466,205,71,288,360,496,14,234,146,13,34,28,277,247,295,256,447,387,304,267,94,415,449,471,287,98,92,243,113,408,427,188,207,301,102,437,110,405,468,199,213,389,32,406,308,57,220,309,172,371,476,343,141,270,373,114,368,10,62,399,56,140,197,80,145,153,173,208,115,231,491,325,351,246,11,425,269,47,53,138,29,137,103,236,1,402,240,54,161,431,3,163,414,396,281,470,221,118,324,206,95,322,321,467}

Returns: "1000000000100000010000000000000000010000000000000010000000000000000001000000000001000000000000000000100000001000000000000000001000000000000100000000000000000100000000010000000000010000000000000000001000000010000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000010000000000000000000000010000000000000000001000000000000000010000000000000000000000000"
24

36

{130,547,50,248,122,170,284,17,187,173,603,379,459,427,853,416,54,46,458,114,830,76,822,756,797,586,731,100,485,625,154,628,295,531,214,728,209,550,106,791,778,388,109,666,300,318,736,45,223,543,192,66,392,259,234,42,647,538,757,762,98,419,73,224,450,137,565,814,513,610,429,409,484,542,576,860,413,94,354,745,859,594,591,172,253,650,751,862,81,134,412,148,179,469,553,59,415,534,322,14,372,809,191,247,231,636,798,57,486,417,611,15,752,688,447,609,530,494,526,351,749,689,600,502,335,233,121,126,200,353,124,483,265,787,742,668,635,151,145,465,497,89,34,396,219,442,275,615,4,578,393,197,535,721,508,408,198,754,405,501,499,190,362,606,230,159,6,495,584,562,515,858,277,491,61,770,708,139,254,312,65,525,712,760,720,140,176,571,303,171,687,283,142,201,210,222,539,342,428,251,517,36,23,188,138,846,133,216,460,579,92,743,807,786,560,314,156,389,175,194,620,559,267,841,83,70,305,816,782,573,252,232,163,820,681,13,75,355,649,843,120,273,823,732,825,131,434,368,589,366,629,852,180,31,155,802,381,590,317,653,97,290,744,28,111,297,633,420,119,47,390,68,698,338,95,41,161,414,750,669,817,677,572,604,588,839,570,680,638,226,58,674,467,780,123,792,103,850,678,340,639,250,527,524,446,528,837,29,847,395,308,755,397,824,162,375,595,407,64,626,241,564,574,22,829,135,128,203,49,343,498,334,451,480,747,132,546,331,315,702,718,288,813,235,785,613,848,147,455,104,245,39,99,765,323,518,686,18,332,645,514,692,828,313,457,282,632,364,500,359,348,199,587,169,326,551,339,808,129,24,671,652,454,540,377,685,492,358,102,661,376,758,426,205,444,794,292,773,385,496,116,456,363,504,470,278,646,160,599,293,777,634,818,264,21,418,640,220,675,695,218,471,149,79,509,202,146,796,729,207,327,329,821,468,804,118,730,523,735,624,856,723,684,781,790,357,272,739,717,833,319,183,738,533,827,861,261,516,32,352,474,62,726,511,845,404,399,438,127,177,811,365,208,291,423,716,373,598,7,703,294,644,840,863,152,96,725,737,178,710,558,401,349,520,541,10,229,67,80,371,276,112,26,753,411,238,806,664,30,280,505,337,532,563,345,700,855,659,136,227,596,672,78,374,812,20,304,85,56,380,489,788,87,310,60,601,522,657,196,487,466,510,473,835,105,771,567,693,341,554,706,391,383,580,356,621,117,48,663,5,682,759,244,779,642,763,217,311,400,257,746,185,165,320,424,255,367,854,101,529,189,182,472,766,243,761,350,302,88,783,186,619,72,35,361,441,271,711,40,851,9,607,617,481,631,12,552,436,430,11,287,479,184,795,602,437,503,435,108,476,157,612,597,764,605,249,298,493,113,325,799,772,439,536,614,443,819,281,784,654,33,701,810,91,768,53,683,63,696,301,826,237,448,193,805,512,239,656,592,453,836,733,8,775,93,832,431,107,623,432,307,697,433,425,410,670,330,279,556,577,557,462,464,519,490,268,158,44,648,449,694,585,166,658,274,266,561,269,262,77,402,452,378,225,857,38,213,71,521,336,774,673,660,384,344,37,221,143,548,321,228,627,242,662,734,643,722,793,333,328,544,709,815,387,167,849,55,240,769,27,256,347,655,463,477,144,260,110,289,714,727,43,864,478,195,800,422,705,724,406,803,641,212,834,690,16,440,568,403,699,215,270,324,507,25,211,713,150,115,740,84,258,838,306,622,286,767,285,164,566,719,86,741,386,204,616,651,593,555,309,3,608,174,52,236,316,583,421,667,206,1,299,74,748,842,461,382,153,445,630,263,181,488,125,19,69,394,346,168,831,369,482,296,475,2,704,370,707,545,618,575,691,789,776,581,246,715,801,665,537,637,549,141,51,82,844,582,569,676,398,90,360,679,506}

Returns: "101000000000000000100000000000000000010000010000000000000000000000000010000000100000000000000000000000000000000100000000000000000000000000000000000000000100000000000000010010000000000010000000000000000000000000000000000001000000000000000000000000000000000000001000000000010000000000000000000000000000100000000000000000000000000000000010000000000000001000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000100100000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
14

13

{133,71,29,28,76,2,169,26,113,172,94,141,31,15,39,178,11,30,118,98,119,41,44,177,166,155,170,181,156,79,6,124,175,75,4,102,139,53,23,150,59,63,180,68,171,127,48,129,99,92,122,77,103,132,62,112,148,153,131,88,134,140,107,61,168,27,149,42,18,138,182,58,126,90,136,174,85,66,158,21,151,55,96,49,121,100,162,114,67,13,179,69,45,93,91,65,16,110,84,123,87,17,143,8,152,97,35,108,160,22,173,52,37,32,146,7,54,116,83,51,78,82,10,111,64,89,19,157,125,164,167,1,72,47,57,159,154,9,137,144,109,176,20,86,120,105,24,163,60,25,12,161,3,104,142,165,106,43,56,40,33,147,95,36,5,74,46,73,34,128,145,115,130,70,38,117,101,80,50,14,135,81}

Returns: "10000000100000100000000000001010000000000100000000000000000100000000000000000100000000000010001000000000000000000100000000000000100000000001000000000000000000000000000000001000000000"
39

17

{5,409,517,257,127,25,228,109,321,183,154,161,493,21,136,460,538,297,280,104,295,596,516,11,94,642,66,4,314,365,413,262,79,381,397,479,225,328,529,219,292,638,342,285,163,3,254,30,244,632,567,87,70,414,428,46,135,503,180,325,49,86,298,26,654,662,372,561,220,653,499,495,515,263,384,58,215,604,75,615,547,344,192,51,122,223,33,439,318,19,457,259,450,569,208,369,453,481,628,56,113,349,265,85,456,47,60,249,509,146,411,514,286,412,281,317,548,568,520,616,629,471,114,126,93,185,147,488,275,144,62,337,399,187,120,359,198,171,197,357,440,364,650,630,202,179,563,18,68,593,278,311,151,306,345,336,16,601,231,467,304,378,583,207,277,524,305,340,591,291,329,250,290,170,266,110,206,201,65,443,500,194,248,115,606,273,582,492,595,39,641,597,469,419,380,315,448,45,143,53,78,585,84,149,80,230,473,536,523,145,200,282,480,525,191,343,474,237,617,394,377,175,166,415,592,316,301,576,485,139,27,83,627,490,339,430,504,100,76,341,245,368,494,613,125,375,153,212,32,487,105,505,614,441,423,382,534,308,454,656,566,557,307,101,623,218,370,28,619,90,610,95,510,12,41,20,652,459,174,188,631,432,333,260,235,361,385,81,189,522,274,148,112,334,594,396,571,407,651,227,437,88,1,496,635,98,405,196,527,169,119,167,271,323,455,420,2,418,128,9,42,43,272,108,138,168,549,445,351,134,123,141,408,293,402,575,648,386,203,10,131,521,319,611,389,535,54,211,371,647,36,283,91,214,246,182,363,486,106,556,335,427,658,555,609,268,502,190,261,37,69,598,404,540,645,284,313,294,367,133,67,649,324,417,506,362,586,61,165,302,401,580,287,330,663,660,288,400,416,234,624,639,599,376,216,542,77,435,347,193,636,177,103,390,398,34,519,539,303,472,221,559,352,395,14,107,532,528,309,560,236,590,199,159,300,379,160,475,40,102,238,482,217,403,296,243,545,446,15,466,350,574,581,50,508,543,348,59,392,353,71,255,172,276,425,444,640,410,434,270,442,72,465,116,224,204,491,513,195,331,346,252,181,360,565,587,589,600,247,132,424,577,422,626,332,55,24,374,6,23,213,97,562,152,625,155,338,156,82,618,554,73,373,483,431,612,637,608,533,64,426,210,564,621,279,657,477,233,366,526,124,356,512,655,544,498,421,327,552,186,383,320,602,322,140,48,142,164,584,310,461,17,438,393,406,573,572,99,530,659,242,531,468,607,387,463,355,258,436,209,447,150,551,8,29,570,588,354,550,289,74,578,661,537,451,489,433,31,226,462,476,251,478,511,7,269,205,96,162,620,546,240,137,178,184,239,312,129,222,388,13,646,118,553,643,449,458,358,497,464,232,299,518,391,326,605,484,44,158,622,22,603,117,256,558,644,452,579,52,507,57,633,429,130,176,541,253,121,470,35,63,264,38,267,111,229,89,241,173,92,157,634,501}

Returns: "100000000000000000100000000000001000100000000000000000100000000000000000001000000000000001000010000000001000000000000000000000000010000000000000100000000000001000000000000010000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000010000000000000000000000000000001000000000000001000000000000000000000000000010000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
4

20

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

Returns: "10000001110110000010011001100000000000100001000000000000000000000000000001000000"
42

5

{110,57,186,200,64,168,59,76,131,28,31,1,183,111,208,157,91,63,125,152,182,167,18,202,43,90,4,13,162,99,165,100,133,176,75,143,74,71,122,34,178,21,203,45,68,136,48,117,26,130,188,113,184,127,192,159,42,140,171,195,104,187,72,40,160,83,95,86,38,142,94,172,32,82,149,7,118,134,3,189,106,41,49,14,135,22,102,103,209,161,146,169,85,56,112,194,69,87,129,137,96,145,98,77,196,204,191,190,5,66,80,124,39,206,52,70,155,88,78,197,164,35,89,138,201,65,44,55,17,123,185,150,115,16,132,116,107,33,30,181,60,27,205,25,144,210,23,177,163,11,170,141,109,93,8,207,47,62,92,24,81,175,105,10,67,147,199,154,50,193,6,180,108,114,121,173,46,158,29,128,126,179,148,51,120,174,15,53,119,139,84,166,156,37,54,73,19,153,12,58,9,61,97,79,198,20,101,151,2,36}

Returns: "100000100000100001001000000010001000000010000000000010000000100000000000001000000000000100100000010010000001000000000001000000001000000000001000001000001000000100000100000000000000000000000010000000000000001000"
19

37

{532,563,303,151,684,454,216,9,478,412,17,336,467,195,392,447,295,23,35,6,348,508,37,652,180,617,217,220,29,199,25,517,629,275,61,472,228,319,502,526,40,224,693,664,75,143,515,665,391,451,173,373,673,59,32,607,415,85,79,308,620,182,604,619,496,363,423,583,476,219,250,537,73,565,3,70,461,43,120,5,190,138,510,142,321,628,335,389,18,550,14,387,634,259,534,436,368,486,400,347,315,570,654,355,158,487,28,662,258,516,237,24,640,462,586,681,384,265,610,141,210,424,287,353,402,110,38,578,523,185,12,371,316,571,401,618,658,648,449,601,573,503,114,245,260,433,543,521,201,569,633,656,581,390,323,446,426,701,627,304,189,194,651,702,232,91,564,611,92,599,205,375,39,605,377,624,406,655,293,529,345,101,378,123,625,533,112,153,46,411,568,256,54,42,688,65,98,50,78,128,683,221,509,36,396,139,398,489,622,663,244,417,577,546,623,270,168,632,661,49,144,474,437,608,183,2,680,30,352,249,317,337,418,280,439,278,379,445,160,291,641,88,536,100,416,155,483,197,99,687,479,67,589,600,556,96,159,465,203,548,359,300,366,469,660,438,587,19,1,136,209,689,113,364,225,89,4,672,659,133,484,691,612,314,330,408,331,246,695,609,592,463,383,528,361,441,559,53,240,318,247,621,55,200,370,637,281,667,582,233,309,109,191,262,544,458,283,13,251,490,279,161,187,593,84,102,227,103,320,450,493,644,302,507,86,269,87,613,116,448,351,584,276,334,590,470,341,697,657,207,602,238,477,674,643,234,241,51,646,473,432,324,52,170,419,505,597,298,121,645,500,15,137,511,154,429,243,344,525,118,34,95,380,460,104,202,527,594,288,455,388,286,44,360,666,580,82,405,296,184,547,289,115,124,685,338,552,394,129,284,242,427,677,678,81,452,561,513,443,165,518,171,107,572,560,33,381,539,327,393,294,630,167,22,425,322,485,453,8,524,549,698,603,422,176,442,357,64,80,90,226,413,482,339,255,10,555,157,178,585,248,326,271,614,435,694,63,626,480,636,186,198,146,292,285,596,382,122,274,551,257,431,307,127,358,196,598,342,223,147,266,606,181,328,566,290,47,254,212,48,567,93,105,297,252,62,498,72,409,574,272,616,7,131,329,558,150,575,519,686,700,174,66,21,277,16,282,676,268,126,177,374,31,69,132,499,56,540,638,41,488,135,459,58,522,506,306,407,349,134,76,468,218,362,83,669,434,350,312,514,163,117,682,333,538,179,699,481,492,77,504,166,642,466,542,703,354,635,649,111,305,692,343,670,20,239,301,175,261,162,653,253,229,68,356,512,230,696,125,650,576,192,414,57,554,501,267,264,11,588,541,579,457,639,430,325,397,444,346,188,440,456,595,340,164,310,535,675,27,497,365,372,399,204,690,376,491,208,475,71,647,410,130,74,156,386,206,385,26,679,169,311,231,369,172,403,591,236,553,557,530,520,263,395,222,94,332,494,215,235,45,428,152,213,367,671,464,531,313,149,668,193,214,421,211,299,97,145,631,273,420,404,471,119,140,148,106,545,495,60,562,108,615}

Returns: "1001000000000000001000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000100001000000000000000000000000000000001000000000000000000000000000001000000001000000000000000001011100000000000001000000000000000000000000000000000000001000000001000000000000000000000000000001000000000000000000001100000000000000000100000000000000000000100001000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000"
33

1

{24,18,15,27,4,25,2,30,22,20,29,6,21,31,12,19,9,14,7,11,16,23,3,13,1,32,17,10,33,8,5,26,28}

Returns: "111111111111111111111111111111111"
34

14

{212,410,316,97,65,365,426,221,50,341,64,362,17,256,94,474,299,440,433,363,75,282,264,463,167,292,421,51,226,415,111,350,134,71,198,314,252,339,240,74,102,127,321,128,295,73,194,281,80,184,364,196,407,203,424,334,63,263,143,208,230,178,52,57,228,19,200,302,398,20,471,356,119,213,112,96,354,211,250,15,249,18,378,461,83,389,439,450,308,8,235,166,217,48,54,210,191,147,452,290,329,431,145,444,283,181,437,25,72,376,466,469,124,417,162,385,268,458,395,185,445,245,61,311,105,298,237,120,370,49,248,409,402,318,171,153,85,165,27,451,99,150,114,157,381,125,351,397,148,204,207,375,258,87,434,188,320,246,78,405,186,89,29,227,404,261,66,343,180,297,333,183,141,382,300,327,176,442,118,238,16,271,430,160,110,347,231,377,173,82,244,345,32,14,411,60,416,412,390,90,218,56,309,229,189,81,117,287,35,98,1,179,91,419,40,5,260,24,164,139,456,177,305,319,315,262,62,446,7,449,455,323,133,296,473,435,331,6,427,9,326,422,306,285,26,67,243,113,251,182,291,214,457,472,460,279,438,11,391,348,467,224,313,195,373,43,335,288,115,58,371,163,46,12,273,142,131,387,92,36,418,403,310,44,359,135,10,269,259,172,47,470,121,312,276,38,236,353,205,137,443,441,454,79,414,338,136,109,293,307,340,34,346,209,386,104,401,95,254,202,199,158,322,144,383,225,337,130,107,154,175,242,187,129,192,4,253,366,303,156,31,267,349,215,462,393,284,420,379,355,358,408,459,77,265,476,413,257,220,70,169,108,53,146,223,396,206,270,436,190,197,13,155,76,448,122,234,239,30,140,468,275,168,241,332,93,201,336,103,174,247,132,344,453,425,159,86,278,151,432,357,69,106,286,400,193,367,392,352,394,3,294,222,428,317,100,384,280,21,37,328,289,399,152,39,219,42,342,368,33,361,84,59,272,232,372,447,324,380,464,406,374,325,475,2,149,388,28,255,465,22,369,41,274,45,360,429,55,88,123,138,170,304,116,23,68,101,423,266,330,216,277,301,161,126,233}

Returns: "10001000000000010000000000000010000000000000010000000000000001000000000000001000000000000000100000100000000000000000000100000000000000000000000000000000000000000000001000000000000001000100000000000000000000000100000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
4

7

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

Returns: "1000010001100000000010000000"
36

16

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

Returns: "100000000000000101000000000000000010000000000000000100000000000000001000000100000010000000000000000000010000000000000001000000000000000001000000000000000010000000000000100000000000000001000000000000100000000000000000000000000000000000000010000000000000010000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
50

50

{1786,1419,449,1876,294,178,925,1547,1207,2110,235,343,2364,889,543,920,1261,1811,1732,981,2092,2102,863,2437,465,691,2416,353,1409,2360,693,2116,909,2320,167,75,177,203,2330,2018,2486,1154,1020,2309,164,180,2232,99,1561,2091,1816,41,1691,847,932,1961,5,1677,657,1488,1362,2283,845,1096,905,86,396,78,1386,1817,1894,2104,473,714,263,362,621,487,246,1078,407,245,1347,2458,2334,1351,68,2171,526,1994,400,2424,2374,1741,1863,222,32,334,917,1981,1480,532,2115,69,267,1404,9,1532,588,1844,1289,1383,1101,1331,1306,1889,121,727,1433,469,1625,139,428,2293,1978,1565,2218,667,1288,720,908,2224,2473,2170,1369,377,1810,862,2054,49,1358,2195,1848,692,1585,1075,410,102,176,8,1361,730,306,1705,21,1341,2325,1872,2011,803,646,1420,1814,2250,1906,55,618,769,882,1343,1596,1232,1522,1155,197,2307,205,114,1337,849,181,1669,252,1219,198,479,1536,1905,2089,2470,590,964,826,211,2209,2408,83,1089,956,2411,1763,1187,1188,431,2176,1453,126,2446,914,1736,2017,2041,2228,663,1372,640,557,702,1964,323,2469,1730,773,1335,91,1972,1058,1030,540,2007,1975,923,739,1506,1666,2468,1471,1164,382,830,1258,31,1344,839,317,2251,649,458,297,2055,1908,212,765,2417,1679,1056,2323,79,1554,389,364,2081,1852,660,1931,1879,722,1231,927,961,1616,189,1791,1134,738,303,1378,2105,30,570,1627,1871,2270,352,2167,1808,1638,2447,1129,2492,975,1702,866,60,1880,1387,1498,373,2126,1474,546,2327,536,2497,535,2071,2414,1818,1788,2477,969,2118,2183,1578,285,1569,569,1899,672,1940,2465,1655,2329,959,1429,864,1602,1377,1373,1624,1970,2027,1009,1496,1953,2166,100,1044,1284,2020,2482,1774,281,59,301,1007,1762,1512,451,1969,1265,2152,1190,1051,1034,233,1264,504,236,2432,279,596,238,1311,1132,837,821,462,881,659,1413,2491,2125,1813,490,887,1403,313,2453,340,1546,988,518,626,1566,1455,758,2338,2109,658,36,2343,1618,1988,631,2042,916,1157,589,1027,1527,2395,1711,776,582,1228,1405,1499,2418,1019,96,2058,1308,1925,950,2344,1364,214,1937,1868,1573,1432,1283,1080,598,980,1907,1209,2451,268,555,1778,2402,468,1825,435,476,1139,884,133,2459,103,551,1819,1212,827,2493,1549,1833,1688,2068,943,300,438,1430,831,417,1315,2333,1290,768,192,1804,549,603,1543,2481,2284,307,2317,1800,1,852,1933,311,2312,2196,1648,2431,1437,751,675,678,2369,1502,221,1052,2103,1735,144,2207,1110,677,824,441,1063,112,322,766,1282,288,2404,635,1083,1375,2380,1659,1613,2442,1983,1463,2084,395,655,2202,1158,1885,1955,1976,1619,1353,342,815,1646,820,1620,2260,330,371,1723,572,581,284,2045,875,1729,653,132,18,2132,811,2239,541,1959,1421,482,2315,1136,2496,104,983,394,1845,1445,234,1467,1350,113,1508,593,865,1598,1515,583,782,2407,1440,895,58,138,512,700,2008,779,527,1828,2261,1675,665,17,1457,1979,962,1866,689,1514,1553,2379,248,1381,1851,1917,2285,73,600,406,1138,2297,967,1674,736,1685,2311,858,841,379,1595,1489,1203,812,1193,525,1117,247,1528,2363,753,1676,2463,957,2292,1728,1537,1658,1509,2247,1533,429,1328,1865,1318,2077,1505,89,2401,788,1221,832,326,56,1128,2070,1841,1882,2382,632,1635,2245,1482,108,704,1737,361,576,1435,1200,2485,1609,10,2423,1534,388,1651,151,1477,2425,822,2010,1796,1608,1340,553,2003,90,2076,1718,1853,40,2016,470,163,1827,2178,2062,685,128,2220,445,6,2079,694,2347,606,1186,1300,1923,2230,2235,1673,443,1018,1327,2350,312,913,1552,791,1904,320,1222,446,1182,48,101,1382,2177,2226,1993,186,2046,168,1406,2479,1024,2480,1746,1040,127,605,638,274,88,1992,174,717,355,1173,2154,1610,2014,899,2286,1118,763,1448,757,1854,1376,98,1175,277,318,2174,383,1249,357,50,1005,2182,1590,586,1956,800,339,460,1977,780,1072,996,1184,2093,612,1098,1325,1398,513,648,681,2223,1293,1012,885,14,1253,2498,111,878,44,517,1214,1812,936,1531,619,907,2449,1686,122,1294,63,399,2234,1809,358,1059,522,1079,25,2299,731,7,2244,2215,1281,1642,601,2322,2410,545,1087,1519,1839,2117,781,1797,2294,2194,1257,2158,1021,254,1896,784,239,315,1600,2243,397,1767,2005,979,1548,143,2436,2237,599,1806,94,1043,457,496,1918,579,1299,511,2153,2314,1033,867,1689,2161,475,1753,250,1324,2088,2028,2264,158,1699,11,257,1861,1520,2304,898,2415,1225,1859,853,1321,1103,2280,1734,1886,412,249,741,2397,190,1255,562,1476,1243,2187,38,1054,258,687,1367,1516,1251,1422,1107,437,2098,1628,1008,432,1241,1743,949,1657,1772,456,1045,548,2108,1197,477,1605,1349,1503,137,645,669,1379,1122,1356,1092,165,1240,891,327,1538,2002,592,1936,971,1584,695,409,1319,120,116,597,398,1368,349,105,2381,1518,2268,1684,911,2192,1704,230,62,1180,1093,1143,1663,1612,1483,571,712,1245,2390,332,2021,806,454,1276,1759,2282,1664,1211,974,1903,1738,2430,1708,801,698,686,796,1218,725,1472,1621,850,2457,2122,359,199,1877,523,1604,156,374,575,336,2143,1206,1077,1091,1025,416,2300,1497,1693,2248,231,912,1606,1275,1153,1745,1769,1374,1270,2253,2213,450,1842,1041,1425,1951,296,2289,1127,890,674,1749,723,244,2438,1189,2144,904,237,64,530,193,1742,2147,2494,502,998,1626,385,1094,1016,226,210,754,1930,816,755,2483,1266,2135,568,337,2259,346,550,2255,1458,1544,2113,1912,749,521,1777,644,510,1601,270,1196,28,1898,1366,499,1140,1640,1692,1962,348,954,404,1121,999,1900,1345,1360,2349,1396,1526,2148,2242,797,1622,2249,1921,1053,1891,184,1947,724,1803,1920,656,906,611,1326,391,1442,617,1111,1987,1968,1247,790,2184,1775,701,1781,1913,707,2384,276,2000,260,2306,173,1269,480,1371,642,1116,351,19,2139,2039,1822,2037,910,2256,807,2291,273,1564,951,1259,319,2357,459,341,2229,497,1320,814,639,938,1820,636,495,1794,1038,952,690,290,508,1701,1000,1793,676,1586,1740,2181,1411,1162,338,2433,262,1792,2448,1770,2086,787,699,1593,1580,2362,2387,1412,1172,1807,1017,474,350,218,1967,1725,537,1928,1895,2185,2428,309,1416,2097,1550,1210,393,1965,1829,682,408,1999,1423,1201,1418,147,272,2065,966,1468,2096,172,880,1256,1171,1668,1415,302,1233,1399,710,1050,1417,2024,1680,652,2208,196,1832,1634,259,1712,1388,2341,304,760,2149,2165,166,578,573,485,734,1492,1722,770,1042,928,1402,2217,2287,935,856,2227,900,1112,1661,1267,2212,229,520,2392,1216,641,558,2127,2396,2199,2035,1837,478,930,1558,283,1932,1985,1945,1252,387,2001,241,228,51,2031,1870,793,941,81,289,1236,471,486,554,2391,1560,1551,1893,194,118,253,1998,1307,1478,2124,684,533,634,2106,2066,2337,494,834,1338,27,1649,376,1145,1752,119,808,1165,1773,2273,2130,1304,157,2455,2022,146,622,1227,2466,1323,1348,1146,1309,2467,1490,1589,447,466,1720,2095,2472,39,1597,2275,662,1662,1302,2385,401,1790,716,894,1014,919,1884,325,162,1986,2375,2087,2155,1278,1632,2029,896,1971,1473,85,92,2279,2265,1653,1456,921,1881,175,1672,747,697,1926,1980,1857,2026,792,1739,1776,1010,2370,2328,1151,1460,26,1479,2440,997,798,1633,1826,1254,1465,2136,1469,140,2142,709,2190,819,584,264,295,984,1835,1830,903,149,2,1654,269,978,1013,729,134,2298,778,810,1787,1168,1570,1511,1574,671,2281,836,29,2399,1333,2025,1071,66,1108,519,1291,2335,2308,1875,282,1436,2036,430,1277,2047,1322,2254,195,2032,628,785,1591,1909,1982,851,2019,1086,1061,1088,1301,369,125,1878,1690,2462,1199,2225,1352,1960,292,232,1141,1901,1562,1748,1710,786,2405,493,829,386,1892,802,534,206,1747,2342,976,2368,1295,1963,378,2141,82,963,1239,1611,2238,1297,1390,940,329,1427,873,888,1869,1504,1510,1298,2386,1204,1047,335,2464,1529,1719,298,825,366,524,2004,1559,2241,1592,1836,2150,1426,683,1733,547,1001,1530,2100,759,1137,418,216,185,2336,2460,434,1370,1761,200,2393,761,1475,1159,1271,1805,1296,860,1314,958,1100,514,1363,542,1011,1317,1849,2012,1623,2366,877,1039,2450,901,2301,1274,2191,1607,567,673,452,1066,2490,1263,1715,2216,72,106,1665,500,1784,1280,509,1205,1181,651,931,515,80,2426,188,960,2296,498,1114,1517,2372,1446,1119,721,746,1922,615,1579,1576,2206,1223,2351,2189,989,227,1069,440,762,2409,2288,182,2373,1150,945,1148,1459,152,2023,743,1176,1577,45,661,563,991,1272,1989,1234,2252,1874,2355,1431,809,1599,67,367,610,2365,169,1494,883,1287,538,53,789,1815,613,1485,1428,696,1855,2064,870,918,141,986,620,2222,1065,1581,1443,488,1097,2377,854,370,737,4,1070,1768,161,255,843,594,15,455,1303,1339,670,1495,2133,124,893,627,994,2188,1095,680,2310,1441,1650,1647,1357,1414,154,2137,2266,795,1535,1142,1481,1938,1754,2267,2162,2326,448,805,926,2051,1873,1085,1641,953,219,52,2499,2383,705,1887,2471,1106,265,65,1542,2429,1751,1782,215,411,2164,1695,347,328,1149,1670,1637,2186,2441,507,566,70,1450,444,1336,220,1934,1779,1636,965,2321,34,633,24,2099,1242,2090,2233,1067,2456,1758,2445,1115,604,33,1545,170,1785,2157,1279,136,74,1029,868,1750,505,1703,630,1557,2277,556,1102,225,1170,130,453,1521,1484,2476,1984,2069,1771,2495,422,403,240,1860,1847,1696,1470,947,1246,872,2160,2146,2478,1575,915,201,415,77,777,706,937,1462,1359,1541,1716,266,728,1365,1355,331,2221,110,1888,1902,2489,929,2078,614,2324,209,425,679,1678,748,1064,2121,1452,1890,57,1125,1760,2083,204,1217,20,1594,2197,1354,616,491,1169,1954,1057,1174,2398,243,561,2272,2129,688,1756,286,2376,577,2038,1074,1048,299,461,1513,2043,1447,87,2332,2303,503,2057,1757,2378,833,2080,857,990,1099,2050,1727,1192,1524,1643,1305,1003,310,2145,2339,726,1191,489,483,426,1397,380,384,2193,1617,1060,1996,1130,1166,874,1946,1073,2200,711,481,647,879,1974,942,2101,464,1864,2361,1645,1952,287,256,1194,1229,804,2305,732,1394,2290,1273,413,2180,1434,421,528,1392,1238,1801,973,2319,892,261,1631,624,1179,987,1821,1391,1683,1614,1451,1915,439,2413,95,467,1765,1133,664,580,2454,2219,2340,2353,2211,1491,305,1958,97,1123,2210,308,2434,2049,372,402,1667,2394,838,2231,1935,1724,117,135,420,1160,37,623,115,2061,35,1104,1639,1942,1630,1697,591,1183,2295,1493,1501,2214,574,1131,390,207,1049,1023,733,2500,1682,2371,2412,1713,1208,1660,972,2389,1068,1629,1076,1644,1615,2203,1700,2271,1444,818,368,1707,544,1286,2052,767,1310,1260,1400,2172,1312,1656,629,1161,2075,844,217,1330,1167,150,1028,1850,1588,1721,1486,2067,846,2313,1135,2262,1883,1113,1540,392,427,363,2128,76,223,2072,2452,1789,2205,1571,1603,155,1766,995,2134,2258,2053,654,835,876,1681,1957,291,609,2302,922,1523,531,735,2140,1466,1948,1407,1226,2204,2073,559,316,1939,794,1487,840,744,2060,772,2015,1539,1755,1652,354,43,946,1966,742,2163,242,463,859,1587,61,2435,187,1439,1897,902,1910,1004,1764,2352,2421,1856,2112,3,1408,1567,2316,1568,47,587,2201,160,2487,1840,1843,1035,1006,643,1464,1332,2356,424,565,2278,1046,1081,2461,131,2168,1250,564,1991,1342,12,718,1393,171,2013,2123,750,1037,2444,1220,414,1914,1248,552,1395,84,1731,1949,275,1237,2406,2151,719,142,2331,602,129,16,1163,539,2030,1026,1744,2488,2236,775,2034,1230,529,153,405,939,1717,1911,871,1438,516,224,948,740,1235,1147,2111,1556,1563,1795,123,1997,1990,1858,1919,1831,585,1834,356,1924,2346,1838,93,799,1995,855,1694,71,1846,1555,1698,433,107,2156,1401,1507,1156,2269,783,745,1927,208,1334,22,2048,715,756,1031,1002,1120,2475,293,54,848,1062,1916,1525,955,2179,345,423,2107,2169,183,1823,492,2056,607,2348,2388,2044,2175,982,823,148,1144,1152,1202,1198,1500,713,1709,2063,1726,1105,251,1929,1082,344,1244,1943,1802,191,2009,992,202,817,625,970,2120,213,1213,1124,1313,842,1799,2131,1973,2276,2240,2474,1780,506,813,2345,381,2040,324,2119,933,1867,1950,2138,472,2427,2059,861,2033,703,2173,1055,1126,977,1109,944,2263,365,1798,145,2354,1329,1862,560,1177,23,2367,1389,442,985,1346,1572,666,637,419,1714,2085,897,1015,109,1687,375,2114,1195,1461,1582,2074,752,1292,360,1316,2443,1380,179,1384,968,1285,501,934,2159,650,314,1036,2422,1783,2082,1022,1268,2419,1262,2246,2359,46,321,271,2358,436,2257,595,1215,1449,1454,2318,2274,2400,42,1410,1706,280,774,771,764,869,484,2403,278,1185,1583,1671,1385,1084,2439,1032,13,993,1941,886,1224,2198,668,1424,1178,608,2420,708,333,1824,1944,828,2006,2484,924,159,2094,1090}

Returns: "1000000000000000000000000000000000000000000000000001000000000000100001000000000000000000000000000000001000000000000000000000000000001000000000000000000001000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000"
50

50

{1756,2403,1826,1600,761,713,287,1358,652,2053,495,1078,468,242,591,598,1776,1949,1939,2488,1048,833,1429,595,236,569,2410,1348,150,1836,2100,572,1532,982,1133,1465,2256,365,1004,473,715,1036,2200,2382,1708,2234,2458,546,1280,1380,2387,792,1825,2016,1387,1790,858,509,1734,1803,2440,737,420,988,794,2312,239,2197,745,2280,1152,1555,77,1673,2218,1395,2267,2252,1356,451,1181,1914,208,2332,2383,145,1872,1607,1829,496,566,1257,1080,651,1083,1749,993,2126,806,720,1499,223,553,672,1077,274,1155,1828,582,45,1236,1302,340,608,1824,44,824,1103,690,1643,594,978,1868,1495,234,205,40,108,1556,947,389,139,1506,1760,1266,1902,1056,548,1619,985,1606,10,2075,1801,1583,703,1107,673,69,695,1440,1336,494,2315,1634,206,225,1301,983,1345,2250,2049,2148,258,588,397,1935,564,887,1805,1315,1420,1062,1622,1844,560,1955,844,1728,1754,1647,668,1097,259,576,574,129,1293,2309,535,1005,2479,2101,515,370,110,219,1832,1740,1771,701,1479,272,994,1157,109,333,231,682,1827,646,218,363,470,1938,1672,769,459,2329,257,134,1542,2444,643,1339,319,1371,736,762,2093,1727,1073,1176,997,2317,1981,2258,54,215,2036,1404,1020,2143,1632,1897,1296,182,1050,165,1635,1568,628,156,203,2172,1341,411,435,2485,171,228,930,1894,1251,271,789,2322,724,463,2365,1046,980,307,1526,814,1959,1552,650,2054,767,642,2394,299,1768,26,1158,1169,1095,2345,2238,868,610,2107,1717,1019,1016,238,1168,2115,1818,2050,352,476,2411,1347,550,1418,614,1888,1546,1990,1063,1151,1029,565,348,2187,1798,1000,1089,1001,249,1877,430,1962,1259,395,130,2120,1954,1072,458,1557,2082,438,2067,92,220,1187,827,1889,1180,409,2183,971,1319,2305,336,117,394,419,746,2193,1977,747,1309,2212,670,568,1113,1297,504,2095,1146,407,635,1554,127,57,1514,2010,1396,783,751,1383,1219,2,2159,178,691,665,1559,344,1618,939,1281,1300,100,1765,1874,984,1255,1491,549,1658,1950,2346,31,39,2424,2426,1144,1879,660,659,326,508,2413,2425,472,404,1702,2064,34,1126,2462,246,2028,1564,123,2138,901,723,210,2328,2396,1932,822,158,1759,282,1331,2118,398,486,1411,1458,1461,1612,1085,1386,2397,1540,696,2326,1534,1488,1054,1975,1323,337,201,849,523,1245,2384,2203,2416,1584,133,2355,888,883,2167,1209,1972,1326,405,2096,25,1494,1690,1780,1327,297,505,2282,866,2463,942,2417,1178,151,1706,1565,873,328,2182,2059,2180,1442,385,2445,276,880,961,1057,869,2380,268,136,801,998,1639,1431,1723,1372,663,1481,1545,296,46,995,2330,1115,680,283,1449,1904,1657,882,770,1855,2254,1905,181,2375,674,2302,80,1353,27,1617,776,1689,558,2190,2224,1551,1374,2391,987,1819,1192,270,768,2002,1268,304,529,104,2429,159,1590,1991,2450,379,619,278,758,1748,255,2457,357,153,1426,386,626,562,1630,96,2447,1696,261,1997,2083,2358,2174,481,322,973,2155,2157,1862,820,1172,1650,1621,1225,417,2259,1929,1079,2184,3,42,2209,1738,2436,2371,946,2297,2166,87,1220,916,1357,2144,107,17,2498,1129,121,587,374,1205,338,977,1572,2364,547,1646,2019,896,534,149,317,1364,1472,2068,1994,1376,1881,2491,2367,817,61,1261,343,1848,1367,72,1885,1986,2035,1313,506,634,279,437,1982,2406,2165,1132,1626,2164,1177,2304,688,1288,951,1229,2122,1948,462,1659,1575,2043,932,766,277,368,1797,1143,14,841,1592,1269,377,1241,1210,2493,2230,2117,2204,760,263,1087,2477,1957,16,1761,2175,2127,1745,584,735,2242,2279,1631,1061,1441,7,410,2404,311,1594,1520,425,2133,2439,192,891,578,1971,1159,1917,1793,2239,771,784,2376,606,11,103,2189,648,1272,1060,1999,1462,1198,315,2111,1425,1527,500,1566,450,1923,1733,1925,1947,872,1676,120,50,452,266,1900,2357,2456,1850,4,726,2177,2431,2390,2228,1742,2109,966,1026,2003,2219,2284,2318,991,904,2385,2074,838,754,917,5,1739,1633,609,73,1579,845,36,1543,1641,2353,1890,471,2162,2094,1725,84,1835,1413,530,2196,708,1099,485,1064,1189,1389,955,1638,197,1201,1476,1246,323,2108,216,1496,1539,1012,2290,1758,2151,603,320,2221,392,1421,1983,1118,2316,638,867,1090,1455,227,1666,828,43,1317,418,622,2350,489,366,1569,507,2378,1915,175,273,1074,1464,1807,1525,919,1669,1703,66,1393,1218,1243,539,2361,480,1204,1912,2352,2348,2023,2216,2211,424,329,2482,1482,1685,2236,2208,1473,174,639,1414,1047,2008,743,647,1271,1604,926,1415,1586,1233,1453,428,575,2207,1504,1966,1505,1140,934,35,1096,624,518,1521,543,1459,1704,2262,909,807,2087,802,37,295,2099,1188,1644,805,1470,1522,1806,1179,1136,347,1299,256,1700,1289,1454,21,460,1135,19,545,1636,2370,788,780,924,160,1130,563,1547,1031,445,1485,493,414,1530,1774,2260,2178,24,2072,2014,2289,1544,314,1907,1006,487,474,511,936,664,2081,897,1751,2311,1417,694,2168,185,740,1710,1517,1662,190,1711,2225,1382,1976,1651,617,2472,1025,1963,2140,2266,1043,1746,421,1359,403,721,1799,1199,552,1471,212,1791,551,2351,1045,1273,686,1030,902,1762,32,1011,2052,1407,697,730,774,1295,893,848,1480,2471,905,911,1377,280,1842,1274,2379,1162,1452,1250,1244,444,1677,540,1901,803,681,2419,355,1637,288,542,290,1513,1591,2374,199,976,1811,65,772,2073,570,876,70,1312,960,2292,2469,2244,2179,1580,513,2110,627,1864,2341,2401,1451,456,928,1916,2372,1388,2032,2136,571,1226,442,975,2153,676,2399,791,1730,813,448,1110,1174,2000,47,381,1863,2145,1516,1576,1781,2245,387,375,1953,22,2091,1601,906,90,1719,169,1247,756,1767,1127,941,2090,2232,1840,2015,1125,1869,586,1460,250,2048,1515,935,2483,2021,1820,157,2441,2415,1102,1058,1946,1092,2131,956,230,1354,620,915,1194,2061,527,1028,330,1170,1980,9,1831,2487,82,235,722,528,1445,1573,2327,554,2369,2288,1747,384,689,1931,2409,1391,602,1928,657,1691,2227,453,702,1242,2119,2092,482,1457,1511,1014,1732,2086,2475,1903,399,362,918,857,2359,712,1891,2420,1355,1943,943,931,1899,267,1933,429,1642,1757,2114,1503,1812,373,1416,677,186,1493,2293,2321,1291,2395,119,306,1128,2283,2257,908,415,630,1726,1456,1182,2460,469,1444,400,1649,1276,1121,1252,189,301,2044,1866,1562,1211,1091,1360,1260,2005,2271,1509,929,796,649,490,1699,525,226,125,2421,1713,1623,356,1114,1667,1628,214,163,2222,1021,1911,1335,106,2368,1332,2077,1965,198,1134,1264,217,1214,2240,1655,1984,700,898,1910,2116,335,360,1430,895,1123,431,962,483,502,2062,1694,2031,1240,685,2047,312,2106,1405,1094,2195,1173,1577,1275,285,1615,1489,675,2020,2018,1940,1120,847,555,636,2452,538,1664,2274,166,2276,408,2342,2029,2497,2422,2313,1071,1918,309,115,709,1834,1684,1410,2194,1484,544,2461,764,912,1052,2434,1217,1409,1439,2170,1032,1009,798,2051,687,1202,1883,698,1653,1227,964,585,1424,1022,957,1184,520,1988,1165,1536,1492,1861,1512,877,1616,1985,632,2360,1609,154,361,1927,1084,2205,2139,179,600,64,536,804,808,1213,823,331,1148,937,2386,2030,1468,914,1373,752,1337,465,2270,1321,1519,1124,596,2163,1608,1987,1794,1175,1270,2198,2039,990,1718,825,89,1804,2467,2013,1629,229,1350,1239,514,195,2278,2377,1340,879,1349,140,2156,1119,573,950,2448,757,559,2069,667,164,2220,1338,1154,940,1920,1787,1561,2496,541,359,1486,2084,974,1934,269,99,999,2038,91,795,2344,732,913,443,1191,1362,734,1524,590,2105,1017,378,829,2037,1065,2325,2253,484,1267,2407,1995,864,2400,733,1248,440,1224,2121,202,95,367,859,1003,516,1139,1208,146,1304,2152,1435,1741,1979,284,1463,173,423,478,2017,910,2408,2130,184,1104,1399,778,2045,831,2041,2171,1193,1944,318,860,1686,522,1550,1392,2354,1919,1595,1508,2150,341,641,383,1467,170,162,79,240,580,1783,996,512,332,1086,1784,1687,1344,851,1753,1447,196,725,1678,1100,1665,854,1731,704,2366,325,396,380,88,316,1156,1992,1523,853,1778,2033,2071,402,1870,1789,289,1571,2470,308,1752,1108,38,464,406,2442,1709,1253,211,1105,98,275,1705,2286,2500,71,233,2446,1346,706,2154,2134,1197,413,232,1024,2363,557,714,949,2476,1375,1558,1675,1147,2026,2481,1652,2210,837,1996,2024,1298,1379,1117,138,944,49,589,1924,2405,510,446,2124,852,1945,692,521,1942,1921,2310,1262,2273,222,55,885,1215,1973,2080,1161,1964,2214,439,147,177,741,67,492,97,143,114,2306,313,1076,2135,479,1567,2451,2128,1137,1369,1342,923,654,921,426,1671,1320,1909,1978,41,2226,144,302,1970,1597,1131,2201,2129,1366,1603,2104,1961,2137,2335,1541,2484,786,799,537,843,2188,531,1138,457,2323,137,2333,1412,342,2449,1809,2356,2146,122,1483,2235,1974,907,755,1498,782,1766,633,1328,1878,1101,925,832,2022,948,1596,1830,29,2079,477,810,2331,2042,2296,2269,1098,579,707,291,666,1474,2007,1450,830,209,1122,1042,1487,2459,1285,972,2418,819,1314,597,1736,1049,1816,2098,354,2040,2294,30,1769,826,1800,2233,2427,2466,1212,616,1715,821,1365,963,191,1303,1627,427,2011,2199,1887,28,85,334,2056,1166,2065,1419,243,1750,2158,2343,303,1195,556,2149,1926,1849,1692,870,2231,349,1589,2486,1871,1786,2392,1873,1002,1843,102,1582,2251,76,2336,1528,1385,1779,1860,2324,1865,1788,952,1735,1663,611,1814,753,679,1993,172,1531,1518,1497,1656,1952,2097,1785,1610,2299,204,1896,967,777,1306,1808,1648,1845,1401,1707,1585,2398,1230,862,954,161,2066,615,1434,1724,1841,727,612,2480,874,621,1529,498,607,809,1810,78,1859,1277,653,2132,62,488,2255,1839,327,1145,111,790,200,221,1422,567,775,842,2314,601,466,2161,1593,388,835,878,245,1837,2320,526,655,1343,1853,48,1563,2123,2388,2243,2474,2334,1167,339,2494,1795,1263,1893,194,1329,517,1599,1112,93,244,292,742,1763,1203,113,1951,416,1876,959,1624,1206,2381,1598,247,497,920,1185,1023,1292,454,903,1682,1969,1352,583,372,581,2268,1822,2473,2301,391,501,922,2046,1216,499,393,2291,187,1186,1693,592,669,1361,519,1670,2027,1858,729,593,1068,2025,2428,1378,2055,927,2478,881,1322,345,1654,2169,899,1082,15,2006,1490,1265,1538,412,644,124,1722,68,1400,131,2412,2070,1578,731,33,176,58,449,945,1967,1937,281,1695,884,2160,167,800,1,2287,1744,193,148,1880,1153,2308,861,1989,436,871,1282,1847,645,8,455,933,2430,1645,1680,1720,1475,1283,1968,13,1305,2303,1231,1183,1190,2340,763,728,1171,2347,2495,128,447,793,300,81,2298,1587,618,1070,1792,2217,2176,1040,183,1307,839,2492,599,629,970,818,1055,683,739,1408,965,1743,353,2465,719,2295,1390,889,2468,1466,441,815,1958,1477,2191,1038,1620,1930,716,2281,2125,1882,1892,875,1075,1613,1507,1067,305,2265,63,1287,2085,2423,2237,613,1875,1815,1432,294,1698,637,6,1448,1278,467,1325,382,371,1141,1570,744,2060,524,2186,2078,1838,1088,1423,53,1433,1007,850,1683,141,1701,1330,83,2102,1284,658,18,180,1221,2057,74,1403,992,2454,711,1895,2247,749,1661,1081,358,1163,2009,1688,1884,1381,1033,1279,2453,2223,132,1716,94,1235,432,1813,434,1956,2202,2393,1351,1775,863,51,475,2185,1039,1008,2438,2437,155,2142,1614,2443,251,1059,2432,1535,1721,262,1044,1898,710,890,491,1821,1290,981,1674,781,625,2389,298,2263,101,1697,623,2215,1548,2272,1501,1714,699,1093,1588,1286,656,1681,1406,1318,1438,1574,1941,2455,126,986,2206,2103,390,1069,671,1773,1142,1200,1446,2349,577,717,350,561,1015,1316,1846,1437,1308,2248,2414,979,461,1256,422,364,1164,787,1428,264,640,1237,953,2173,433,811,1232,1106,2249,1034,1886,2362,1111,1772,2277,1640,1228,759,605,1553,2373,1294,2246,241,2433,1802,1397,75,2489,2112,1427,1010,1324,631,86,213,152,1150,1222,968,2113,2402,1537,1223,1436,1823,693,2141,207,1363,1712,1777,1402,2076,532,52,894,135,1510,20,748,2261,1109,1625,1207,1334,834,1852,678,1833,661,2307,1502,900,369,2337,1443,2088,1160,1035,1854,958,503,1384,662,2339,2213,1737,604,2229,351,224,1249,2490,253,2264,1936,2034,254,1867,293,1116,816,989,2319,142,1998,188,1053,2063,938,1533,1668,2001,1817,1066,2338,1922,1368,773,856,1310,846,1333,1018,886,1857,1311,1398,1660,2435,969,2147,286,105,1549,797,260,401,1051,310,346,718,1500,1037,1254,56,684,1851,118,2275,2058,2181,2499,892,116,1908,1258,168,2464,376,1679,2241,59,1469,1770,248,840,1013,2089,1605,1856,812,1027,1755,1370,112,1729,750,60,2004,1581,1796,2285,855,1611,23,1960,1196,765,1234,1764,321,533,2012,1478,865,785,1394,1238,2192,2300,252,12,237,1602,1782,1906,265,705,1149,738,324,1560,836,1041,779,1913}

Returns: "1000000100000010000000000000000010000000000000000001000000000000000000000010000000000000000000000000001000000000000000010000000000000000000000000000000001000000000000000000000000100000000000000000000000001000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000100000000000000000000000000000000100001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
1

3

{1, 3, 2 }

Returns: "111"
3

4

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

Returns: "100000000011"
50

50

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500 }

Returns: "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
3

3

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

Returns: "101010001"
50

50

{1205, 1191, 702, 2395, 2401, 469, 707, 1132, 165, 2390, 1214, 1030, 362, 1650, 1736, 1980, 1417, 1195, 644, 721, 1576, 1557, 421, 2319, 1186, 1983, 552, 1688, 972, 1397, 353, 913, 544, 2256, 1384, 115, 640, 1270, 202, 281, 67, 673, 1012, 1625, 1884, 1733, 107, 799, 1626, 271, 1269, 1312, 2287, 1613, 392, 203, 1387, 1442, 2472, 319, 388, 390, 142, 409, 2041, 741, 718, 34, 1547, 1775, 26, 782, 711, 1638, 83, 435, 543, 1896, 256, 1315, 1194, 1273, 1223, 1895, 963, 45, 699, 132, 2266, 1474, 2206, 1668, 2008, 1504, 1836, 556, 2096, 2280, 1216, 909, 537, 2152, 1515, 1024, 2045, 493, 1966, 1740, 639, 1710, 1979, 49, 62, 507, 191, 68, 1201, 688, 2362, 1097, 697, 1349, 1488, 800, 562, 1605, 1449, 613, 2085, 1126, 2113, 783, 2064, 497, 188, 1241, 1003, 1395, 2123, 1899, 2191, 2344, 2209, 770, 1832, 495, 949, 1202, 733, 2037, 1378, 1050, 267, 533, 211, 162, 1039, 2221, 1533, 79, 1767, 136, 1874, 357, 1346, 746, 277, 771, 415, 1870, 2153, 2216, 2313, 1961, 1873, 1088, 1305, 1859, 2243, 383, 1016, 1475, 347, 1643, 1782, 1338, 122, 946, 1484, 273, 1817, 464, 947, 2455, 1554, 2166, 71, 705, 666, 2167, 902, 2095, 61, 2074, 2251, 818, 1845, 1513, 830, 1891, 2305, 1203, 1821, 280, 1089, 479, 404, 46, 1095, 1927, 2468, 1396, 989, 84, 2376, 1634, 2241, 2142, 77, 607, 2150, 292, 2195, 957, 863, 2049, 652, 478, 1947, 765, 452, 1679, 1598, 465, 512, 1721, 1776, 1124, 1409, 2051, 2040, 896, 760, 858, 2480, 1206, 1486, 508, 2479, 1287, 2302, 92, 1784, 1683, 1354, 678, 135, 1616, 1693, 1993, 1335, 96, 371, 1048, 1236, 1579, 1064, 2485, 240, 2425, 1058, 57, 1300, 938, 318, 1171, 1799, 2322, 1986, 1158, 52, 108, 918, 2027, 1125, 1780, 1067, 2162, 985, 190, 1258, 2224, 597, 1989, 1455, 1224, 153, 174, 2061, 2080, 1301, 514, 587, 1645, 2254, 1531, 1606, 300, 1759, 2316, 2028, 140, 454, 1323, 1539, 2003, 1648, 1716, 2057, 382, 738, 249, 1293, 2391, 204, 412, 789, 1824, 1358, 643, 1825, 761, 370, 2265, 1670, 1161, 2033, 2182, 1438, 1955, 2334, 1450, 2346, 1830, 283, 1107, 2348, 41, 715, 1798, 19, 2227, 1290, 1718, 1962, 1867, 2445, 1239, 301, 812, 1629, 681, 2428, 1936, 1619, 1879, 850, 519, 1497, 2460, 2430, 1311, 1367, 1974, 872, 311, 496, 172, 1833, 1501, 581, 17, 1931, 2312, 889, 891, 253, 906, 802, 1478, 1820, 1023, 56, 1563, 2222, 1038, 1783, 881, 2101, 2006, 641, 1268, 1615, 1074, 2297, 337, 2453, 413, 1937, 555, 2477, 2426, 2318, 2156, 2332, 1117, 257, 97, 1181, 1316, 1441, 536, 295, 1587, 553, 1313, 1390, 2294, 484, 1462, 1434, 65, 491, 1715, 423, 2421, 836, 326, 622, 967, 510, 625, 1747, 2409, 1652, 910, 980, 1139, 725, 2393, 2047, 2324, 1964, 1489, 1102, 806, 2386, 2370, 1129, 1109, 811, 473, 306, 272, 2314, 1546, 243, 650, 845, 1006, 661, 2198, 1778, 275, 2213, 1425, 2125, 332, 1470, 2108, 186, 1675, 2338, 1157, 1839, 1468, 205, 1357, 1656, 1445, 2239, 2286, 2277, 1341, 2284, 1046, 2437, 307, 2403, 1230, 317, 263, 1077, 391, 651, 1522, 1146, 890, 227, 1051, 1542, 844, 120, 2500, 2115, 2228, 1991, 417, 470, 1143, 1641, 961, 826, 1078, 864, 975, 266, 710, 1790, 2410, 2146, 82, 2144, 1113, 1928, 1725, 159, 254, 1339, 534, 1013, 1166, 1556, 1043, 461, 437, 1592, 2490, 116, 1352, 2394, 884, 368, 399, 2082, 822, 131, 2053, 842, 2186, 489, 814, 1902, 1655, 80, 1209, 1310, 2440, 1253, 660, 617, 309, 76, 2077, 1696, 1329, 2304, 1520, 1165, 144, 831, 450, 2487, 563, 1320, 2456, 1448, 94, 573, 219, 1399, 320, 2044, 1559, 1548, 101, 2366, 1801, 605, 729, 1647, 1401, 1612, 1361, 2116, 453, 1137, 1788, 837, 476, 2071, 2201, 1364, 171, 2301, 1047, 871, 1433, 1665, 1248, 2447, 2094, 1750, 2035, 4, 674, 447, 15, 988, 1628, 813, 296, 1822, 1426, 2478, 2133, 1472, 2274, 1872, 1494, 935, 198, 1608, 2203, 1627, 1422, 361, 2335, 626, 32, 2119, 2289, 2388, 1847, 862, 1459, 1635, 457, 2188, 1262, 548, 422, 2379, 8, 2387, 2043, 690, 723, 1819, 2439, 1662, 2011, 578, 1218, 1285, 689, 978, 1866, 1508, 2341, 925, 511, 330, 117, 1970, 546, 1197, 236, 121, 551, 1192, 1106, 1951, 2046, 991, 1929, 888, 113, 2329, 631, 2075, 206, 2337, 2405, 2384, 1049, 2097, 9, 486, 438, 1860, 2019, 571, 687, 1265, 1610, 1099, 1275, 63, 278, 2484, 1108, 241, 1365, 1810, 821, 1977, 2303, 1447, 1967, 929, 1706, 914, 2169, 1944, 1226, 155, 89, 529, 2056, 164, 1179, 1796, 2121, 1151, 363, 1516, 1543, 99, 2192, 2308, 2086, 37, 110, 175, 615, 298, 1814, 1921, 731, 916, 244, 1651, 1915, 2034, 1101, 427, 895, 2457, 679, 448, 1882, 2189, 547, 1325, 1381, 1831, 696, 445, 2298, 1745, 1222, 839, 1079, 2212, 1115, 2218, 214, 1307, 338, 2307, 1159, 982, 1772, 234, 1794, 1585, 192, 977, 1593, 2200, 141, 1978, 735, 1907, 1059, 1982, 1284, 1909, 1534, 1602, 1324, 1597, 944, 2414, 1574, 693, 1444, 1943, 1764, 356, 1886, 832, 1960, 231, 2365, 768, 921, 282, 1020, 649, 870, 246, 2257, 856, 287, 2385, 2159, 2310, 2059, 1890, 964, 1510, 384, 1254, 2354, 1297, 1735, 1215, 2446, 2202, 208, 1439, 1386, 221, 2339, 367, 1789, 499, 2281, 2118, 1865, 1703, 333, 1904, 2197, 374, 406, 1632, 260, 1714, 29, 329, 152, 185, 480, 2058, 1041, 22, 410, 373, 1277, 430, 664, 1168, 1754, 1440, 532, 1347, 443, 838, 501, 1042, 1905, 1070, 732, 387, 103, 954, 658, 150, 736, 428, 2055, 1582, 1026, 11, 1370, 798, 2349, 1549, 1577, 1418, 1148, 1774, 1624, 351, 917, 1144, 2158, 341, 1435, 804, 2016, 772, 434, 676, 2106, 720, 1402, 504, 635, 137, 1571, 619, 1424, 2165, 1156, 621, 2005, 1889, 1601, 2015, 834, 1976, 2181, 220, 602, 1777, 1893, 2105, 2493, 2458, 903, 343, 1032, 1493, 2296, 176, 1169, 2194, 105, 1500, 1322, 494, 1452, 820, 592, 2104, 1005, 290, 2475, 2093, 212, 2406, 1343, 2411, 1946, 775, 55, 1898, 400, 284, 405, 1640, 148, 612, 801, 1573, 1001, 1807, 2290, 369, 27, 976, 1646, 258, 585, 999, 868, 2036, 933, 958, 269, 1173, 521, 2258, 1578, 2357, 114, 102, 2309, 1069, 655, 570, 1231, 481, 1348, 1938, 1481, 468, 2229, 2330, 261, 1029, 139, 1897, 1544, 2174, 2139, 1737, 1932, 2087, 627, 515, 78, 1609, 14, 1566, 810, 565, 1292, 2418, 2148, 2363, 1558, 708, 1391, 2471, 561, 1864, 1133, 672, 1963, 1914, 1869, 2295, 724, 2261, 2260, 403, 1738, 358, 987, 530, 419, 31, 505, 645, 1009, 2149, 1028, 302, 930, 446, 1193, 2315, 1377, 2054, 932, 2004, 1900, 1827, 996, 1975, 2398, 1251, 1155, 894, 2448, 2220, 1918, 960, 2419, 196, 1913, 662, 425, 73, 524, 1742, 1843, 1584, 352, 1672, 1431, 426, 1172, 1686, 1673, 1015, 2367, 2140, 758, 2117, 2285, 130, 2482, 143, 1190, 1908, 2498, 1415, 828, 2000, 39, 936, 109, 712, 2238, 580, 1154, 1044, 355, 1698, 1720, 875, 919, 134, 1340, 742, 591, 2270, 2242, 575, 983, 1263, 1958, 2278, 887, 740, 777, 5, 588, 1674, 1456, 568, 986, 1840, 684, 498, 717, 156, 1242, 531, 177, 624, 2161, 659, 866, 2438, 2068, 2496, 2404, 926, 1941, 2492, 2009, 402, 2180, 1282, 569, 2141, 934, 2234, 927, 2207, 2250, 2160, 1460, 485, 1997, 1004, 1140, 111, 1280, 293, 716, 183, 1071, 1999, 995, 310, 796, 1959, 1362, 51, 1276, 1114, 2434, 2249, 1990, 614, 1200, 2190, 683, 1189, 1256, 35, 1091, 2253, 1366, 1498, 1700, 233, 1957, 609, 324, 1596, 1678, 1217, 900, 728, 1877, 706, 905, 1081, 2317, 1406, 1330, 1178, 75, 1420, 12, 247, 217, 1373, 334, 316, 1328, 1288, 255, 2083, 2013, 2323, 127, 780, 2436, 1724, 1208, 1730, 1317, 1467, 2020, 943, 380, 1934, 1053, 2408, 2232, 50, 1709, 1992, 2400, 2017, 885, 354, 1257, 1887, 1853, 1586, 1286, 667, 1565, 1496, 1453, 385, 2267, 1243, 922, 16, 2288, 1846, 2340, 1676, 2326, 1345, 1567, 859, 629, 87, 1400, 535, 386, 1421, 2489, 2465, 1405, 776, 379, 1553, 1306, 2079, 755, 1916, 2486, 2032, 2364, 289, 950, 1926, 829, 2237, 948, 857, 1763, 2157, 336, 1443, 276, 656, 1569, 841, 923, 774, 1844, 593, 299, 545, 215, 623, 695, 178, 474, 1880, 2109, 1507, 1786, 1701, 2168, 1360, 2038, 339, 577, 1314, 1066, 2026, 242, 1765, 1110, 1803, 993, 767, 1837, 1392, 1862, 763, 1283, 1729, 74, 1540, 704, 1509, 1802, 730, 513, 1570, 2136, 2283, 791, 1768, 1446, 1432, 2098, 809, 877, 924, 2415, 675, 1639, 167, 2175, 766, 1123, 213, 2134, 1965, 181, 149, 1622, 2416, 865, 1969, 1176, 2402, 1014, 1092, 1849, 429, 1858, 288, 1100, 1084, 95, 1604, 2422, 2470, 2353, 199, 853, 1885, 2342, 2215, 745, 638, 1917, 1912, 2178, 2320, 1308, 163, 106, 395, 1617, 1657, 1033, 1127, 549, 1027, 1334, 1404, 1687, 1266, 1045, 647, 28, 1562, 1524, 1008, 1255, 58, 2355, 867, 781, 1906, 1654, 572, 598, 1052, 633, 959, 2360, 1021, 2299, 1272, 1199, 694, 378, 200, 2331, 1805, 1525, 2429, 1653, 1495, 36, 1419, 1252, 663, 2163, 1213, 1954, 2282, 1848, 564, 1863, 1483, 360, 364, 778, 2350, 808, 1061, 1666, 1529, 1950, 1953, 1766, 2413, 1056, 939, 1304, 466, 713, 1408, 1198, 1207, 966, 245, 411, 601, 785, 431, 1838, 2248, 70, 259, 908, 911, 2300, 542, 1423, 2029, 701, 1228, 2442, 2369, 2372, 1834, 1002, 1111, 442, 1649, 737, 869, 1235, 558, 270, 2358, 1746, 1379, 1019, 323, 898, 238, 1318, 827, 560, 1480, 179, 1482, 1010, 893, 1575, 1956, 414, 294, 1994, 1536, 1289, 1671, 2001, 628, 33, 1182, 1949, 229, 1359, 1299, 303, 739, 1090, 566, 2435, 1713, 416, 1376, 2135, 126, 1607, 1428, 962, 762, 1264, 420, 1298, 1719, 1057, 1760, 2327, 1098, 882, 1260, 312, 1512, 2255, 2177, 2070, 459, 2131, 1187, 1603, 44, 2, 589, 1259, 1374, 500, 345, 1618, 1535, 992, 748, 2084, 952, 1823, 488, 2481, 325, 1017, 2336, 2433, 1878, 1429, 1732, 1237, 424, 1942, 1835, 997, 1309, 436, 1920, 752, 2185, 747, 945, 1319, 112, 1842, 1781, 2050, 279, 2240, 1112, 1749, 315, 2208, 751, 2078, 815, 1561, 1167, 2233, 2264, 1503, 138, 2183, 2343, 1711, 648, 559, 1708, 727, 1492, 321, 1690, 1130, 1350, 1699, 2164, 835, 331, 433, 23, 2130, 754, 1430, 1170, 64, 1382, 787, 1471, 876, 1806, 1903, 756, 1380, 554, 43, 1184, 1850, 1, 1661, 1371, 2245, 1394, 2377, 1828, 1506, 1930, 807, 1723, 1175, 1988, 1034, 1342, 1219, 1055, 942, 48, 2211, 372, 1068, 1871, 2137, 1855, 1212, 2235, 2450, 2023, 1751, 1888, 1568, 714, 1663, 1707, 1326, 2263, 1901, 846, 1572, 1037, 1787, 1087, 981, 1234, 2476, 1076, 557, 1981, 1416, 794, 1669, 1103, 1883, 2361, 216, 516, 1096, 86, 2495, 2473, 1413, 931, 1658, 1761, 2259, 1411, 1771, 1552, 407, 1356, 1150, 703, 348, 1537, 2333, 1075, 1623, 527, 218, 1410, 1160, 2143, 1633, 899, 375, 305, 784, 596, 1080, 2127, 2321, 2210, 2173, 118, 892, 803, 1464, 1748, 1436, 2114, 1809, 1321, 189, 2368, 2373, 264, 123, 2441, 1118, 1779, 432, 1163, 1063, 1939, 1122, 759, 60, 462, 965, 1995, 2225, 2022, 365, 886, 291, 1149, 2007, 1773, 1337, 1727, 21, 166, 2488, 1664, 616, 1022, 170, 797, 3, 2407, 398, 1581, 1145, 1692, 2199, 455, 579, 1968, 1757, 195, 2417, 1295, 2030, 2347, 1829, 2089, 1857, 1131, 1353, 381, 600, 1682, 440, 611, 773, 1971, 973, 224, 915, 1762, 1588, 322, 1491, 1294, 928, 2021, 682, 753, 719, 1332, 880, 2205, 1514, 1281, 1414, 2291, 467, 2147, 979, 1274, 1611, 20, 709, 2392, 2073, 2214, 1660, 492, 456, 187, 2048, 25, 1121, 40, 128, 133, 2063, 2081, 1555, 2196, 873, 1065, 1910, 397, 207, 1952, 1881, 786, 590, 1261, 897, 1813, 1147, 2380, 2356, 2002, 1136, 471, 1454, 1244, 937, 396, 2396, 518, 2171, 665, 2464, 1499, 1518, 53, 88, 1185, 788, 223, 2311, 2427, 1911, 1945, 586, 940, 1363, 2271, 582, 1407, 1792, 955, 180, 1545, 1856, 314, 669, 757, 1935, 1116, 1551, 1594, 1521, 817, 194, 2279, 1138, 1233, 1851, 2273, 98, 1040, 793, 1697, 805, 193, 599, 119, 2359, 1403, 502, 1694, 210, 2247, 860, 2467, 2269, 883, 124, 237, 222, 1621, 743, 901, 2184, 2461, 912, 2449, 1174, 297, 2454, 2076, 1526, 1599, 1457, 2014, 2072, 1375, 2328, 2463, 526, 2494, 1238, 1728, 230, 654, 2252, 42, 1000, 349, 304, 1691, 670, 1128, 1892, 1291, 2012, 1490, 2122, 2275, 790, 157, 1369, 487, 636, 2102, 401, 2088, 1998, 1923, 1031, 668, 377, 2110, 449, 637, 2069, 2382, 2383, 286, 700, 1815, 1466, 439, 2111, 574, 1271, 147, 262, 956, 1984, 843, 1812, 100, 1220, 85, 2124, 197, 1336, 2431, 603, 2293, 1302, 840, 38, 1135, 2399, 1595, 173, 2466, 340, 1680, 1477, 1795, 482, 2219, 550, 1389, 2443, 201, 2462, 520, 308, 1437, 1580, 1082, 7, 1164, 1072, 1564, 346, 1591, 2246, 1093, 698, 1083, 1385, 1811, 1985, 2451, 849, 509, 974, 2272, 90, 1225, 969, 1487, 1644, 1695, 235, 1808, 2067, 2120, 1739, 1162, 795, 632, 686, 2230, 2155, 2371, 971, 2091, 594, 6, 1637, 1511, 833, 2236, 2031, 328, 503, 620, 2469, 1685, 1769, 1620, 1134, 1227, 847, 1712, 1368, 1278, 1463, 2276, 685, 2306, 209, 779, 490, 1086, 722, 2025, 879, 2499, 2039, 1538, 359, 541, 994, 1073, 1677, 1351, 851, 1726, 1940, 2424, 1303, 1177, 608, 1589, 1519, 1987, 567, 1818, 1085, 1758, 855, 268, 72, 1744, 2262, 1614, 539, 1451, 2432, 506, 239, 941, 169, 1681, 907, 350, 671, 1804, 2187, 2128, 30, 1861, 146, 1630, 2138, 823, 475, 1527, 517, 389, 816, 854, 2066, 634, 265, 1667, 1517, 248, 1393, 472, 1717, 1246, 1025, 225, 418, 104, 968, 1105, 344, 1062, 1933, 1372, 540, 1875, 1770, 2378, 1560, 1119, 848, 2325, 1919, 2231, 970, 2497, 1054, 47, 1689, 2100, 1035, 1973, 2381, 81, 1705, 2170, 2052, 91, 2474, 1221, 1249, 1094, 1141, 168, 145, 595, 2145, 2483, 576, 10, 1841, 1876, 1465, 1659, 904, 1894, 691, 1485, 2176, 538, 2345, 1011, 2107, 726, 444, 1153, 1852, 1826, 1458, 2179, 285, 2018, 151, 1018, 1743, 13, 342, 583, 604, 920, 2103, 525, 1267, 1427, 1245, 1702, 523, 441, 1279, 366, 463, 1333, 630, 1476, 24, 825, 2129, 2268, 483, 2204, 1473, 1355, 66, 528, 252, 2423, 1734, 1741, 1532, 2389, 458, 1972, 1642, 2090, 1756, 2459, 250, 819, 376, 1183, 1036, 584, 2193, 184, 54, 2420, 1636, 69, 1152, 953, 335, 1948, 1204, 160, 951, 824, 2065, 93, 1007, 2024, 129, 1210, 161, 154, 1523, 228, 1247, 874, 2060, 1753, 232, 2352, 2491, 769, 1996, 606, 2397, 610, 2092, 522, 792, 2154, 744, 1196, 1331, 734, 2226, 1060, 653, 1583, 2217, 1755, 764, 2351, 1398, 1704, 677, 327, 2374, 408, 2292, 1797, 2010, 1188, 852, 1469, 1530, 1502, 1791, 680, 657, 2444, 1388, 1922, 1793, 692, 1800, 125, 984, 1383, 460, 274, 1412, 998, 1541, 1752, 451, 1785, 1550, 750, 2223, 1479, 1232, 2375, 393, 618, 2172, 1590, 1816, 2244, 1344, 1684, 1120, 1327, 1296, 1229, 861, 990, 18, 182, 642, 2112, 1180, 1250, 394, 2151, 2099, 2412, 1505, 313, 646, 1528, 1600, 1461, 226, 59, 1854, 1925, 1631, 1868, 2062, 2132, 1142, 1104, 158, 749, 2452, 1211, 1240, 2042, 2126, 251, 1731, 878, 1924, 477, 1722 }

Returns: "1000000000000000000000000000000000000000000000010001000010000000000000000000000000000000000100010000001000000000000000000000000000000000100000000000010001000001100000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000100000000010000000000000000000000000000100000000000010000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000001000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000"
2

4

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

Returns: "11110000"

Statistics

Problem Statement for "GridSortMax"

Problem Statement

Definition

Constraints

Examples